diff --git "a/data/dm_maths/full_data_2/10937_11255.jsonl" "b/data/dm_maths/full_data_2/10937_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10937_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s(m) = 3*m**2 + 4*m - 2. Does 19 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3432.5219 + 3428.5. Let g = -4 - j. What is g rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32049 and 281319?\nAnswer: 2531871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**4\/36 + 2*x**3\/3 - 35*x**2\/6 - 830*x. Factor o(t).\nAnswer: -(t - 7)*(t - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/2736000 and 117\/40000.\nAnswer: 13680000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066696 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.121719166 * -4\nAnswer: 0.486876664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/190 + ((-1377)\/45)\/(-9).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) - (-95 + 0). Let q = 209 - l. What is the greatest common factor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6381102 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 90, 101, 128, 177, 254, 365?\n\"Answer: f**3 + 2*f**2 - 2*f + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -2129*i**2\/2 - 111*i + 169. Is q(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73 + -122?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 11 = 76. Let o = d - 17. What is the greatest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1244 and 25280568.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37912 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 5*j. Let a(o) = 3*o**2 - 8*o. What is 5*a(r) - 8*q(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14481*l - 14459*l + 28919*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7025701225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6480 and 4080.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(sqrt(125) + 2) + -2 + 1)*-6.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 3 + 6)*(67*h**2 + 13*h**2 - 18*h**2) in the form t*h + x*h**2 + f and give x.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8504*u - 25512*u - 33 + 8503*u + 8502*u.\nAnswer: -3*u - 33","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Express -3864 + 7729 + 1024*t - 3865 in the form v + p*t and give p.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2) - 5\/(-2). Suppose 3*l + 1 = -j. Is (2 - 4)*13\/l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - 2*sqrt(1053))**2 + 4 - ((-2*sqrt(936))\/sqrt(2))**2.\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65236, 65207, 65178?\nAnswer: 65149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81856229 is divided by 133752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 95079260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4, e: 14}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**28\/(c\/(c*c**(2\/13)*c*c)*c**(-2\/15)))\/((c\/c**5*c**(-1)*c)\/(c**(1\/3))**11) assuming c is positive.\nAnswer: c**(647\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16190.\nAnswer: 2, 5, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 238, 234, 230?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11194, 1, -170, 0.1, 2\/5 in increasing order.\nAnswer: -11194, -170, 0.1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 3*z**2 + z + 1. Let x(i) = 5*i**3 - 12*i**2 - 12*i - 5. Let p(q) = -6*b(q) - x(q). Calculate p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieiggigigiaggggeie. Give prob of picking 1 e, 2 g, and 1 i.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1293 and 19790 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1112 and -31698?\nAnswer: -35248176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 585746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 104*s**2 + s + 1. List the prime factors of p(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -70*j - 415. Let g be f(-6). Solve 3*r + g*s = -1, -11*r + 14*r + 4*s - 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7786 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 5*f + 3. Let y be l(-5). Suppose 4*n + 0*n - 4 = u, 5*u = -4*n + 28. Suppose -150 = -4*p - n*q, -5*q + y*q + 6 = 0. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**3 - n**2 + 2*n + 3. Let b(o) be the second derivative of o**5\/2 - o**4\/12 + 2*o**3\/3 + 5*o**2\/2 + 428*o. What is -3*b(h) + 5*d(h)?\nAnswer: -5*h**3 - 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (11 - 24) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 2\/9, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -608 - -608. Solve i = 24*x - x + 69 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (29 - 0) + (-707 - -623)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p + 11308 - 11380 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*(s\/s**(-4))\/s)\/s*s*(s**8*s)\/s)\/((s\/s**5)\/s*s)**(-15) assuming s is positive.\nAnswer: s**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 16, -r + 0*r - 10 = -t. Let b(n) = -n**3 - n**2 - n. Let p(q) = -4*q**3 - 4*q**2 - 7*q - 1. Let c(d) = r*b(d) + p(d). Calculate c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((12\/(-4))\/9)\/(-3*(-2)\/(-72)). Let h(p) be the first derivative of 0*p + 0*p**2 - 1\/4*p**k - 8 - 1\/3*p**3. What is the third derivative of h(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -234475, -468954, -703435, -937918, -1172403, -1406890?\n\"Answer: -r**2 - 234476*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - i = 0, -3*s - 11 = -0*s + 4*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (1 + (-2 - -3)) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523869564 to the power of 1\/2, to the nearest integer?\nAnswer: 50238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j\/(j\/j**(-23))))\/j)\/j*j)\/(j\/((j*j\/((j**26*j)\/j))\/j)))\/(j*j**5)**(-2\/37) assuming j is positive.\nAnswer: j**(-62\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {h: 2, u: 1, n: 2, f: 1, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5887 divide 3033372006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 167*g**2 - g + 1. Let n be a(1). Suppose -4*u + n = 2*t - 19, -4*u + t = -177. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15398 + 1?\nAnswer: 15399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhdhdddmmd. What is prob of sequence dddh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 112026359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49 (b) 2.4 (c) 10371 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 3, v: 2, m: 1}. Give prob of sequence vv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + -2 - (-32 + 33)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23299438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 504599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72 take away 19243247?\nAnswer: -19243247.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/4 - 6)*-112. What is l rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1656*f - 8807. What is the remainder when s(-6) is divided by 407?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.55 + -0.45. Let g = -20.11 - z. Let o = g - -0.112. Round o to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*a - 24*a**2 - 249*a - 8*a**2.\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 3*x = -0*x - 1374224. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 33. Let v be q(14). What is k in 10*k**2 + k - 3*k - 2*k - 18*k**2 + 8*k**4 + 4*k**v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5802, -12674, -19546, -26418, -33290?\n\"Answer: -6872*s + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1.6. Let y = 68111 - 68107. Sort y, 1\/6, w, 1\/2 in decreasing order.\nAnswer: y, 1\/2, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1784807*l**4 + 17*l**2 - 3*l - 525 wrt l.\nAnswer: 42835368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4597 is divided by 242?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 402331621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-15))\/(2\/9). Let r = -3 - o. Suppose r*s - 4*j = -s + 21220, 5*j = 2*s - 10625. Round s to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -378219769*a**2 + 431791105 wrt a.\nAnswer: -756439538*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0218*0.49.\nAnswer: 0.010682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*w, -4*w + 2*a = -w - 16. Solve 7 - 3 = w*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1811189 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 216415413?\nAnswer: 216415415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/7 + 23000*d + 161002\/7 = 0. What is d?\nAnswer: -1, 80501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -62. Find the second derivative of 3*h - 24*h**2 - 15*h - l*h wrt h.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:14 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32176.696 + 32052. Round i to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 36*l**2 - 67*l - 76. What is v(38)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -512717741 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -408 - -434. Calculate the remainder when y is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 6 = -13*j. Let o(l) = -7*l + 63. Let p be o(9). Solve p = -s + j*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0)*(1 + (-1 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -157 + 98.5. Let i = y - -58.6. What is the biggest value in i, -31, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4311 is divided by 216.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u - 1. Let x be z(1). Suppose 4*s + 16 = 3*p, -5*s = 3*p + 18 + 2. Let i be p + (-2 - -2) - 0. Sort i, -4, x in descending order.\nAnswer: i, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) + 218*(-1)\/82. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1131714 and 351.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9641 in -3\/7, -2\/3, -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 3*w**2 - w + 2. Suppose -3*k + 0*k + r = -37, -34 = -k - 4*r. Suppose -k*m + 18 = -24. What is y(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 120*m + 65*m - 12*m - 31*m. What are the prime factors of k(1)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l + 36. Let m(i) = i**2 + 10*i - 1. Let c be m(-9). Let b = c - -32. Calculate the smallest common multiple of l and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4, -2*c - 4*f - 3 = 11. Let p be c*(-2 + -1)*5. Let j be 0\/2 - 6\/p. Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 612956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 265 + -290. What is the fourth biggest value in 3, -5, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 7*f - 7. Let h be j(9). Let t be 8\/((-8)\/(-48) + h\/6). What is the highest common factor of t and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328876*i**4 - 2351*i**2 - 7.\nAnswer: -7893024*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-96)\/30)\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Let s(k) = -k - 2. Suppose -z - 7 = -10. Let n be s(z). Sort n, p, -6.\nAnswer: -6, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/13399940 and -47\/1970?\nAnswer: 13399940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - w - 14. Determine p(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -587883 - -876062. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/2992*-8 - (12670\/924 - 12)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/384*12)\/(9\/(-12))*-28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1616)\/(-312) - (-1696)\/(-318).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7725 and 150?\nAnswer: 15450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 35 = -5*c. Let v be c\/3 + (-8)\/(-12). What are the prime factors of v*-1*(-1 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 684, 575, 454, 315, 152, -41, -270, -541?\n\"Answer: -x**3 - 102*x + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6 + 14. Put o, 10, 3 in increasing order.\nAnswer: 3, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**4 + 6*t**4 - t**4 + (6 + 3 - 5)*(-2*t**4 - t**4 - 6*t**4) as o + d*t**2 + k*t**4 + b*t + a*t**3 and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*b**2 - 2\/7*b + 0*b**3 + 0 - 4\/7*b**4 + 2\/7*b**5.\nAnswer: 2*b*(b - 1)**3*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 11\/(-2))\/((-33)\/(-12)). Let u = 0.025 + -3.025. Let v = 0.1 - -0.1. What is the closest to v in o, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83062567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17523893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12007*p**2. Let v(k) = k**2. Calculate v(t(x)).\nAnswer: 144168049*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.655186 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let m = v - 4. Is ((-94)\/4)\/(m\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9\/32 + 131\/352. Let t = -0.2 + 0. Let w = 0.0892 - -0.0108. Which is the nearest to w? (a) t (b) 3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + 1 + -771 + 742?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*n - 86*n + 3*n**3 - 106*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 + 8*g - 12. Let j be q(5). Let z = j - -54. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-20) - 9\/30. Which is the third biggest value? (a) w (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1509*d - 1508*d - 3*m - 18661, 74542 = 4*d + 5*m. Is 171 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzrtrorortrrozotr. Give prob of sequence ttzz.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 2519677. Let r(n) = -2*n. What is u(r(w))?\nAnswer: -4*w + 2519677","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -15 - (38 + -54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634110 to the power of 1\/2, to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -65.4. Let b = -4.3 + j. What is the biggest value in -1\/5, -5, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -551 and 5861823.\nAnswer: 5861272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {b: 11, i: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**4 + 2*x**3 - x**4 - 7*x - 35*x**2 + 38*x**2 to the form z*x**2 + n*x**3 + r*x**4 + w + m*x and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125980, 252113, 378246?\nAnswer: 504379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwxwxaxwrxllallllla. What is prob of picking 1 a, 1 x, and 1 l?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12 + 1638 + -10)*10*1600. What is y rounded to the nearest one million?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awaw. Give prob of sequence aww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -586*b*v**2 + 18*b*v - 253058*b + 2*v**3 with respect to v.\nAnswer: -1172*b*v + 18*b + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 804922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 7*q**2 - 7*q + 6. Let h be g(7). Let m = h - -48. Let d(a) = -a**2 + 8*a - 10. Let n be d(m). Solve 4 = -n*t - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 343\/85?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 484 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -2*q**2 + 1. Suppose 3*g + j - 122 = 6*j, -3*g = 3*j - 90. Calculate the remainder when g is divided by c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(45\/(-6)))\/(17\/2465). Let a(g) = -26*g**3 - g**2. Let b be a(-2). Let l = p + b. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 146, -2\/7, 0.02, 5, -19\/42?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/12 + 5*y**4\/24 - 9*y**2. What is the second derivative of d(c) wrt c?\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -138*b - 804. Let l be i(-6). Solve -5*x + k + l = 0, -9*k + 3 = -6*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/8 + 819*b**2\/2 + 6549*b\/8 + 1637\/4 = 0. What is b?\nAnswer: -3274, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 + 2*a**2 - 12*a**2 - a**2 + 3*a as v + j*a + p*a**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5743 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -26. What are the prime factors of (-2 + 3)\/((-1)\/o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219758233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ipiiyppp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/16)\/(18\/(-204)) and -22\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 57, -0.64, -117 in decreasing order.\nAnswer: 57, 3, -0.64, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 5292?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, 3, -6 in ascending order.\nAnswer: -6, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 10*f - 2*f**3 - f**2 + 2 - 6*f - f**4 + 18*f as h*f + t*f**3 + b + c*f**2 + p*f**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6.70125, 0.1, -0.108, 4\/9.\nAnswer: -6.70125, -0.108, 0.1, 4\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -313477847, -626955694, -940433541, -1253911388?\n\"Answer: -313477847*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -29*l**2 + 7*l**2 + 12*l**2 + 11*l**2 + 148. Let u(r) = -2*r**2. Give v(u(b)).\nAnswer: 4*b**4 + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o**3 - 17*o**3 - 52*o + 66*o - 4*o**3 + 5*o**3 - 2*o**3 + (o**2 + 3*o**2 - 5*o**2)*(0*o + o + o) as j + z*o**3 + r*o**2 + n*o and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 + 139 = 3*z. Let q = -58 + z. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -y - 31 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*v + 16387 = 376*v - 4385 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o + 24. Let f be (o - 4)*32\/(-5). Suppose 3*q + f = n, -3*q - 288 = -4*n - 7*q. Calculate the greatest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0608 + -0.08. What is a rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/a**(4\/11))*a**(6\/7) assuming a is positive.\nAnswer: a**(94\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.6. Let y = 0.3 - s. Let b = y + -0.1. What is the nearest to -2\/3 in b, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 167*p - 142. Let q be w(2). Calculate the greatest common factor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/15 - 152*s**2\/5 - 4570982*s\/15 - 3046708\/5 = 0. What is s?\nAnswer: -1401, -2, 1631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**6*(w**(-10)\/w)\/w)**(-2\/107)*w**(-2\/11)\/(w*w*w**(-7)\/w*w)*((w*w\/(w\/(w**0*w*w)))\/w)**(-4\/3) assuming w is positive.\nAnswer: w**(8719\/3531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 21*p + 65 = 17*p + 20, -4*z + 25 = -p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(46\/(-10) + 4). Let d(o) = -2*o - 2. Let p be d(-7). Let x = p + -34\/3. What is the closest to 0 in c, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/63 and -79\/376.\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.04636 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/231 and (1\/(-1))\/(6\/(-4) + (-17080)\/(-8080))?\nAnswer: 14322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 471607, 100, -3 in descending order.\nAnswer: 471607, 100, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*((sqrt(204)*1 - sqrt(204)) + sqrt(204) - sqrt(204)))\/sqrt(12))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 9\/8 (c) 4 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -103133043?\nAnswer: -103133113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fddfddddd. Give prob of picking 3 d.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/4 - (-1)\/3*0. Suppose 6*t + 206 = m*s + 3*t, s + 4*t - 81 = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 7*q**2 + 4 - 7*q + 14*q - 11*q. Let y be g(6). Suppose -3*z + 5*l = -y + 4, -5*l = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-348*b + 38*b + 7 + 5 - 1)*(-5 - 3*b**2 + 5) in the form d*b**3 + n + s*b**2 + q*b and give d.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 484476.7+-12195739\nAnswer: -11711262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691673283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 382051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 140 = 150. Let r(n) = n**2 - n + 3. Let b be r(-3). Let m = b + z. Calculate the greatest common factor of m and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-6))\/(2\/(-6)). What is the units digit of (-4)\/f*(2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o + 13. Calculate q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13314 + -13342.63. Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and (-6 + 3)*3\/(-9) + 11?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8))\/(2900\/99760)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34611059?\nAnswer: 7, 4944437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328306 is divided by 158881.\nAnswer: 10544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/16)\/((-1)\/(-10)). Let m = 5 - p. Let o be 9\/(-30)*(-2)\/3. Which is the nearest to -0.1? (a) 5 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*h + 4. Which is bigger: -6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*t - 3, -4*t + 40*f + 9 = 35*f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*z + 10*z**4 + 31*z - z**2 - 76*z - 2*z**3 as b*z**2 + o*z**4 + s*z**3 + y + n*z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-3)*-1*1\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 169119 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21789535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-3)\/(-5))\/(23\/((-3220)\/21)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 7:00 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -103926.5 and 1.4.\nAnswer: -145497.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/36 and -5\/726703.\nAnswer: 26161308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/99 and 34\/57.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 13*a + 9. Is y(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 185211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10338900 rounded to the nearest one hundred thousand?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (17 - 18 - (-1 + -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 6)*(4*j - 3*j - 2*j).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -16*b - 4*b. Let n(j) be the second derivative of 49\/3*j**3 - 7\/6*j**4 - 343\/3*j**2 + b + 1\/30*j**5 + 26*j. Factor n(c).\nAnswer: 2*(c - 7)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 448 = 53*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1896)\/(-42) + 6\/(-42). What is the greatest common divisor of w and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (19 + -3 - (12 - -29)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvd when three letters picked without replacement from {y: 2, d: 3, v: 3, x: 1, j: 1}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**4*z**3 - 5608351*w**4 + 388828606*w*z**3 wrt w?\nAnswer: -48*w**2*z**3 - 67300212*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-180)\/(-21)*(-49)\/(-2). Suppose -h = -4*s - s. Calculate the remainder when s is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558501171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 220101*l + 7364*l**2 - 220101*l + 8138*l**2 in the form y*l**2 + k*l + j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -359*g**2. Let m(q) = -18122*q**2 + 36244*q**2 - 18118*q**2. Give s(m(d)).\nAnswer: -5744*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*o + 728. Let f be 9142\/9 + (-34)\/o. Is (3\/(-6))\/((-4)\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16359*i - 59*s - 1658 = 16361*i, 0 = -2*i - 3*s - 90 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*h**3 + 0 - 3*h**3 + 0*h**3 + h**3 + 59*h**3 + 2863 - 2863 + (-h**2 - 2*h + 2*h)*(h - h + h) + 2*h**2 - 2*h**2 + 2*h**3 + h**3 + 3*h**3 - 5*h**3.\nAnswer: 55*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -1\/14 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(133) + sqrt(133)) + -2*sqrt(133)*-2)\/((sqrt(280)\/(sqrt(5)*2))\/(sqrt(16)\/(sqrt(2) - sqrt(18) - sqrt(2)) - sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 2*u + 4 = 0, -4 = 2*s + u + 2*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 + -154 - (-6)\/2. Let s = u - -202. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 78. Let w be d(-16). Find the second derivative of -w*x + 16*x**3 - 57*x**2 - 18*x**3 + 9*x**2 + 19 wrt x.\nAnswer: -12*x - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-53755.503.\nAnswer: -268777.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26433 and 5963?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 4. Suppose 47 + 8 = 5*l. Let g(o) = -7*o + 8. Let b(s) = l*n(s) + 6*g(s). Find the first derivative of b(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + 5 + (5 + -1*sqrt(320) + sqrt(320) - 1*-1*sqrt(320))*-2.\nAnswer: -16*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243 - 3?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(684) - (sqrt(684) + 2)) + 0 - (sqrt(684) - (0 + sqrt(684) + 0 + sqrt(684))) - (-2 + (sqrt(684) + 0)*5*-6)))**2.\nAnswer: 10517184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304 = -4*n + m - 1274, 36 = 4*n + 2*m for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.0331946 to 2 dps.\nAnswer: 9.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11093*z + 2461*z + 26 + 133 + 119 - 470 with respect to z.\nAnswer: -8632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-286*v - 52*v + 117*v)*(0 + v**2 + 0) + 4*v**3 - v**3 - 2*v**3 + (1 - 1 - v)*(-v + v - 5*v**2) as c*v**2 + i + r*v**3 + b*v and give r.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 3*h + 4. Let s = -8 + 13. What is the lowest common multiple of v(3) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55548 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4860 and 39\/370?\nAnswer: 179820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 5*y - 16. Let b be d(3). What is the closest to b in -4, 1, 0.034?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3327010*m**2. Let u(p) = -p**2. Give u(x(g)).\nAnswer: -11068995540100*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/2 + 9*m**3 - 10*m**2 - 9*m + 19\/2.\nAnswer: (m - 1)**2*(m + 1)*(m + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = -0. Suppose 0 = 5*u - 56 + 1. Let g = 8 - u. Sort g, -4, s in decreasing order.\nAnswer: s, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*g**3 + 2*g**2 - 27*g**3 - 18 - 44*g**3 - 27*g**3 + g to the form h*g**2 + f + t*g + x*g**3 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11708 is divided by 689?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*u + 40, 5*u - 23 = 2. Suppose b*f - 415 - 180 = 0. Suppose -h - 2*z - f = -4*h, 201 = 5*h - 2*z. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) -1\/4 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12665843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 112575 to the power of 1\/2, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (233*j**3 - 129*j**3 - 119*j**3)*(0*j + 3*j - 2*j).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 - 1. Let o be r(1). Suppose 3*s = 15, 6*y = 3*y - 2*s + 7. Let z be ((-1)\/2 - y)*2. Calculate the highest common divisor of o and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67876, -67783, -67690, -67597, -67504?\nAnswer: -67411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 1385455?\nAnswer: 1385450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -6) + (30 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51838*v**2 - 3*v - 12356?\nAnswer: -103676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*n + 179 = 638 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -340 + 359. Solve 5*o - a = 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 13\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -16. Let b = 29\/2 + l. Suppose 2*v - 3*s = v, -2*v - s = 0. Sort b, v, 1 in decreasing order.\nAnswer: 1, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*n**3\/3 - 10620365*n**2\/3 - 6068840*n\/3 - 866980\/3 = 0 for n.\nAnswer: -2\/7, 43349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2*r + 3 - 11.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:09 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.78 - 3413234?\nAnswer: -3413241.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 12*j + 47. What is the remainder when 50 is divided by k(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)*u*u\/(u**(-1\/5)\/u*u))\/(u\/(u**(-2\/9)\/u)*u**(-3\/7)))\/((u**(-1\/3)\/u)**(-3))**(1\/10) assuming u is positive.\nAnswer: u**(-208\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l - 28. Let m(h) = -1. Let p be (-12)\/(-36) + 34\/6 - 5. Calculate p*f(z) - 28*m(z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 47*t + 132. Let b be c(44). Suppose b = 4*a + 2*v - 14, 35 = 4*a + 11*v - 16*v. Solve a*y + 0 + 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/11 (b) 7 (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 13307*n**2 + 66503*n - 14. Determine u(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/(2\/(-5)). What is the closest to g in -0.3, 0.5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/99567 and -86\/211380741.\nAnswer: 211380741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 304 = 4*g, -3*s + 183 = -0*s + 3*g. Calculate the greatest common factor of 30 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) -2\/11 (b) -0.03 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from lwwnnwnnulwwwlilluyn?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*d\/(d*d\/(d**(3\/16)\/d)*d)*d))**(-1\/62)*(d\/((d*d\/(d*d**(-20)))\/d)*d)\/(d**(-22)*d) assuming d is positive.\nAnswer: d**(2915\/992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l*o*q + 35*l*q**4 + 5*l*q**2 + 3*o*q**5 - 2*o*q**4 + 4*o*q**2 wrt q?\nAnswer: 840*l*q + 180*o*q**2 - 48*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from lqhalhxqhh?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*v + 90. Suppose -v*g - 6 = -3*c, -17*c = -22*c + g - 10. Sort 19, c, 4 in descending order.\nAnswer: 19, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let z = 7.6 + -3.6. What is the closest to t in z, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 + 8*i - 3. Let g be v(5). Let j = -8 - g. Let o = j - 2. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2878 greater than or equal to -2878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/3)*f)\/f**6)\/((f\/(f\/(f*f\/(f\/f**(-1\/4)*f))*f))\/f*f**2*f)*(f**(-7)*f**2)\/(f**1*f**(-4\/7)*f) assuming f is positive.\nAnswer: f**(-911\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/45 + 33\/60.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205055*o**3 - o**2 + 4675294*o.\nAnswer: -1230330*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s**3 - 262*s**2 - 60*s - 310. Give t(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, r: 6, t: 1, y: 3, u: 1, j: 1}. Give prob of sequence trh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23385, 46771, 70155, 93537?\nAnswer: 116917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 688.99999205 + -689. Round z to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, 0, 3 in descending order.\nAnswer: 19, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 13) in base 8?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -18. Let j = 7 - 320. Let p be 12\/30 - j\/5. Calculate the greatest common divisor of p and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 1)*2\/98. Let z = f + 214\/147. Which is the nearest to 1? (a) z (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2.071.\nAnswer: -0.4142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -541*t + 6350. What is f(12)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123999\/10 + -12389. Find the common denominator of -61\/22 and r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/45*(-1)\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -912 times 0.862\nAnswer: -786.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 562556222 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1309489 > -1309489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 21 - 84. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 + 100 - 196 - 19*y to l*y + a and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -4295648\nAnswer: -17182592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -397, -2\/9, 0.7?\nAnswer: -397","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -261.4844 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 380878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 47*m. Let c(r) = 1314*r**2. What is i(c(k))?\nAnswer: 61758*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**5\/20 - 5*d**4\/12 - d**3\/2 + 5*d**2\/2 + 54*d + 1. Calculate t(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 79*f**4 - 30*f**2 - 9*f - 640. Let n(w) = -20*w**4 + 7*w**2 + 2*w + 160. Let d(u) = 9*n(u) + 2*x(u). Differentiate d(q) with respect to q.\nAnswer: -88*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 0.3 (c) -0.05 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -37, 155, 377, 629, 911, 1223?\nAnswer: 1565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*9\/10)\/((-19)\/(228\/1))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 38962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -2 (c) 13 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 16 = -32. Suppose 1971 = 8*a + 1443. Calculate the least common multiple of n and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 5*w - 72 + 68, 3*r + 3 = -2*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -592*l**2 - 1845*l - 16. Calculate p(-4).\nAnswer: -2108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 - 330 = -7*j. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 + 2*y**2 - 6. Let l(a) = -3*a**3 - a**2 + 1. Let d(t) = 3*t**3 + 5*t**2 - 18. Let o(n) = d(n) - l(n). Let p = -5 - -12. Give p*b(j) - 2*o(j).\nAnswer: 2*j**3 + 2*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (524\/3930)\/(1\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a + 273. Give s(24).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 0*s**2 - s**2 + s**2 + s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)*b)**(-47) assuming b is positive.\nAnswer: b**(-423\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3103 - 3104. Let i be (-3)\/(-4)*1\/3. Which is the second smallest value? (a) 1 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -4\/11379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18645, -18647, -18649, -18651?\n\"Answer: -2*a - 18643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrammrmumrdmamdam. Give prob of picking 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 220, 47, -424, -1343, -2860, -5125?\n\"Answer: -25*j**3 + j**2 - j + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/5)*k)\/k)**(-15)*k**9*k**(-12\/11) assuming k is positive.\nAnswer: k**(-111\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4018 or -4144?\nAnswer: -4144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)*r*r)\/r**16*r\/r**21*r\/(r\/r**(-1\/4)) assuming r is positive.\nAnswer: r**(-169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 144\/(-30))\/((-5928)\/540930)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 13*w + 48. Suppose 2*p + 4*n = 16, p + n - w = -2*n. Solve 5*j = -p - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2. Let q(x) be the second derivative of -4*x**3 - 3*x. Let k be q(-1). Let j(g) = -24*g + k*g - g**2. Calculate n(j(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, k: 2}. What is prob of sequence ko?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-20)\/4))\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1518, 1512, 1504, 1494, 1482?\n\"Answer: -v**2 - 3*v + 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 8*n - 2. Let h be z(4). Let j be h*-4*36\/(-32). Is 9 a factor of ((-294)\/j)\/(4\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*6\/(-3)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 29*j**3 - 5*j**2 + 2*j + 1. Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(5\/(-198)) + -1*1*16\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15354, 30718, 46082, 61446, 76810, 92174?\n\"Answer: 15364*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let g(o) = -164*o**4 - 5*o**3 - 198*o**2 + 10*o - 5. Let p(t) = -t**4 + t**3 - 2*t + 1. Let y(s) = g(s) + 5*p(s). Find the third derivative of y(l) wrt l.\nAnswer: -4056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107510 is divided by 2014?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6))\/(2\/36). Let l = -4422533\/60 - -73711. What is the common denominator of l and 3*(-1 - (-9)\/m)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(2*sqrt(133)*1)\/sqrt(7).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 14443?\nAnswer: 14436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/13 (c) 0.2 (d) -1 (e) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*d + 4240 = -5579 + 2313. What is the greatest common divisor of d and 4464?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/(-14) - (-4)\/(-14). Suppose 0 = 5*n - d*n - 38. Suppose -t + n = w, -3*w + 4 + 53 = -5*t. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54.24, -4, 14.\nAnswer: -54.24, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 2:54 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -269 - 343*n + 625*n**4 + 345*n + 1097*n**4 wrt n?\nAnswer: 20664*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/530 and 17\/18.\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - p - 1 - 10 = 0, -x = p + 1. Suppose -23 = -x*a + 1. Let j = -46 + 49. Solve 0 = -m - j*m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xajkank. What is prob of sequence kk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -19*w + 672. Is w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbubibbbbuhbbbhbb. What is prob of picking 1 u, 1 i, and 1 b?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4)*-2*16\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.46 - 0.04. Let g = 5 + u. What is the third smallest value in -2\/3, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16394*z**4 + 6*z**3 - z**2 + 38782.\nAnswer: -393456*z + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-15)\/20))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 1, z: 2, c: 2, s: 1}. What is prob of sequence yds?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(720)*5 - sqrt(720))*-3 + sqrt(720) + -1 + -4)**2*3.\nAnswer: 4752*sqrt(5) + 522774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22014*m = -22016*m - 2 + 4, -8*c = -4*m + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10633, -20031, -29427, -38821, -48213, -57603, -66991?\nAnswer: -76377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603562?\nAnswer: 2, 19, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 4 + i**2 + 0*i + i - 3*i. Let o(p) = 4*p - 4. Calculate 5*d(r) - 3*o(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3403246 and 4510.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 12. What is the lowest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000305 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**4 - 2*i**2 - 37 - 20*i**4 + 37 wrt i?\nAnswer: -600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2 + (1 - 1). Let t be 2 - f*1\/2. Let y = 5 - t. Solve y*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 39300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 161, 544, 1289, 2516, 4345, 6896, 10289?\nAnswer: 14644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 6*z - 2. Let s be t(-6). Let y = -34.3 - -30.3. Which is the nearest to s? (a) 4 (b) 4\/11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106496566 + 2.58?\nAnswer: -106496563.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29385.19 + -1473851.\nAnswer: -1444465.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-9) - (-64)\/180. Let o(z) = z + 3. Let q be o(3). Let r = q - 16\/3. Which is bigger: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/20 and ((-20)\/50)\/(8\/(-58)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/5 + 164788*y**2\/5 + 263622*y - 5437476\/5 = 0.\nAnswer: -82386, -11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 682 + -212?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 + 1010011001000?\nAnswer: 1010100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c461 - -13?\nAnswer: -5c44c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51295*q - 50926*q - 18070 = 14771 for q.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by 53?\nAnswer: -269\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*a**3*m**2 - a**3*m - a*m**5 - 34*m - 1 wrt m?\nAnswer: -140*a**3 - 20*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*h - 10, -11 = u + h - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228825?\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Suppose v = 2*q + 2, 0*v - q = -v + f. Suppose -4*u + 5*n + 7 = 0, 3*n = v*u - 2*n - 1. Solve -2*t + u*t = -2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 10364*f**3 + 5176*f**3 + 5*f**2 - 3*f**2 + 5186*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 14, -0.026, 0.2, 3\/8.\nAnswer: -0.026, 0.2, 3\/8, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1\/3 (c) 40 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32352667*t**6 - t**3 + 6*t**2 + 3094753?\nAnswer: -3882320040*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*l + 52, 8 = -2*l + 3*l - 3*r. Suppose 3*p = l*p - 80. Suppose y - p = 2. 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 h(q) = 2*q**2. Let f(r) = 13*r - 2. Let c(y) = -79*y + 13. Let d(g) = -6*c(g) - 39*f(g). Calculate h(d(v)).\nAnswer: 2178*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/3 - 63995*w\/3 - 21330.\nAnswer: -5*(w + 1)*(w + 12798)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -15 + 6. Which is the nearest to 1\/3? (a) 2\/5 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -77. Suppose -3*r + 3*u + 17 + 4 = 0, -3*u = r + 9. Solve -r*x + 0 - 9 = l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5130\/(-684)*4\/2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from {o: 1, y: 2, p: 10, a: 3}.\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237 - -128. Let q = 8 + 310. Let g = x + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208*i + 594*i + 537*i)*(-5 + 3 - 4)*(-1 + 1 + 2 + (0 - 1 - 1)*(-3 + 1 + 0) - 3 + 4 + 0 + 5 + 2 - 5) - 2*i + 2 - 2 + (2 - 2 + i)*(-3 + 1 + 1).\nAnswer: -49845*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 8\/(-14) + (-2112)\/420. Which is the nearest to v? (a) 0.4 (b) 31\/7 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-4)*d*(d*(d*d**6*d)\/d)\/d*d)**(2\/3))**(-2\/69) assuming d is positive.\nAnswer: d**(-56\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 0.5 (c) -10353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13580, -13588, -13604, -13628, -13660?\n\"Answer: -4*n**2 + 4*n - 13580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (50\/6)\/(-5)*(-3)\/1. Suppose 0 = -5*k + 5*s + 125, -3*s = q*k - 4*s - 121. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*15\/((-105)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -127923965 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 51230.\nAnswer: -1\/25615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2961 + 0*p**3 + 4*p**3 - 2899 - 2961 + 8821.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*d - 6*d + 3226, -4*m - 4816 = -3*d. Is 67 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 0*o)*(-4 + 5 - 4 + 3 - 2 - 2 + (4 + 4 - 7)*(0 - 2 + 1) + 1 - 4 + 1 + 3 - 2 - 3 + 1 + 5 - 4 + 0 - 4 + 6 - 5 - 3 + 5).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + -5 + (-62)\/14. Let o be 5\/(5\/2) - 1. Put o, -0.5, b in ascending order.\nAnswer: -0.5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -61 + 1300?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*n + 12710 - 12720, -2*u + n + 10 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0223 times -2?\nAnswer: 0.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -116. Let m(f) = 16*f - 336. Calculate the remainder when m(27) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584 = -44*l + 130*l + 1530 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d + 18336 = -23*d. Let z**2 - 3*z**2 - 54 + 2236*z - d*z = 0. What is z?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18 = 5*p, p + 14 = -3*t + 100. Is (194\/(-3))\/(t\/(-126)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84335 - 84313. Let p = 2\/1153 + 51881\/2306. Is y < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 2*y - 3*y)*(-49 + 78 - 751*y - 28) to the form k + v*y + j*y**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 6, f: 7}. What is prob of sequence jj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 p, and 1 y when four letters picked without replacement from wpiyiwwninniwp.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*r - 191 + 49, 5*r + 3*w = 159. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23233759, 5, 1, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3 + 0*c**2 + 8*c - 3\/2*c**3. Let w(d) = 5*d**2. Calculate i(w(f)).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104.5, 0.3, 1\/100, -12 in increasing order.\nAnswer: -12, 1\/100, 0.3, 104.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 11 + 8 + 2 - 65.\nAnswer: -2*j - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g + 2. Calculate p(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17499, -42112, -66725?\n\"Answer: -24613*d + 7114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-142)\/(-3))\/(5 + (-308)\/63)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*y - 3*y**2 + y**2 + 20*y + 15*y to the form o + c*y + r*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrrz when four letters picked without replacement from rzzzzrzz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*l - 4, 3*c + 39*l + 12 = 12*l + 26*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2*r - 3)*(-146*r**3 + 74*r**3 + 16*r**3).\nAnswer: 112*r**4 - 56*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:51 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(6*p**2 + 627*p**2 + 49*p**2).\nAnswer: 1364*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 101*s + 1307. What is the remainder when j(-10) is divided by 88?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -i - 7, 4*i - 2 = -2*y + 24. Let u be i\/(-20) - (-27)\/12. Solve 4 = l + u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/7)*i**5\/i*(((i\/((i\/(i*i**(-2)))\/i))\/i)\/i)**(23\/5))**(10\/7) assuming i is positive.\nAnswer: i**(-404\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2 - 3*a + 2. Let w be q(2). Suppose 5*x + 2 - 12 = w. Sort x, -2, 0 in ascending order.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117.4 - -117.407711. Round r to four decimal places.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -63.8. Let z = 35 - v. Sort 5, -1\/10, z in decreasing order.\nAnswer: 5, z, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11904)\/(-960) - 2\/5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g - 7. Let q(y) = 6*y**2 + 3 + 1 + y**g + y**2. Let b be q(-7). Solve -b*n = n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346 by -2.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*j**2 - 252*j**2 + 936 - 284.\nAnswer: -731*j**2 + 652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (-6 + 8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24 - 3)*17\/(-51). Let j be (n\/((-175)\/45))\/(3\/15). Solve -j*d = -10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73400 + 383?\nAnswer: 73783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u\/((u*u**(-3\/5))\/u))\/u*u)\/((u**(-3\/8)\/u)\/u))**(-13\/5)\/((u*((u*u\/u**(-3\/2))\/u)\/u*u**(-2\/11))\/((u*u**(-1\/11)*u)\/u**4)) assuming u is positive.\nAnswer: u**(-49597\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r - 18*r - 150. What is the closest to 1 in r, -0.1, 0, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -5. Suppose -4*u - 4*y = -20, -i*u + 8*u = 2*y - 10. Find g, given that -g**4 + 1\/2*g**5 + u + 0*g**3 + g**2 - 1\/2*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -3*k + 0*k**2 + 0*k**5 + 1\/6*k**4 + 0*k**6 - 1\/3*k**7 + 9 + 0*k**3. Find the third derivative of h(r) wrt r.\nAnswer: -840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2055 = -2*k, -k + 69*m - 68*m + 1025 = 0. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8854853.\nAnswer: 7, 1264979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1245259 rounded to 2 dps?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -165 - (-10 + (-21)\/(-3)). Is 45 a factor of k\/12*2*(2 - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.02581107 to three decimal places.\nAnswer: -35.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5000525 + 0.5. Round n to 6 dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 12 - 0. Let c(p) = -p**3 - p**2 - 4. Suppose -2*i = w, 2*w + i = 7*w. Let k be c(w). Is q < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -465, -1102, -2001, -3156, -4561?\nAnswer: -6210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8880682 != -8880679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22512\/56*4\/(-9*4)*9\/6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v + v - 2*v + (-5*v + 0*v + 4*v)*(-3 + 0 + 0).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -168 and -10845\/64 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - (sqrt(187) + -6*sqrt(187)*1)) + sqrt(187))\/sqrt(11) + -3*sqrt(833) + -2.\nAnswer: -13*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3561463, -3561478, -3561493?\nAnswer: -3561508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 < 21.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100595 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -30*i**2 - 198*i + 585. What is m(3)?\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-992)\/(-32))\/93)\/((124\/3)\/(-4)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 16*x**2 - x + 1. Let m(a) = -8*a**3 + 3947*a**2 - 7973*a + 3. Let q(h) = -m(h) + 3*w(h). Determine o, given that q(o) = 0.\nAnswer: 0, 2, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 6, u: 2, q: 3, r: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-55) - 5\/75.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6*v = -20, 5*v = j - 23. Suppose -s + 0 + j = 0. Suppose s*y = -y + 32. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 31*j - 26*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 27. Suppose -37 = -u - r*d, 0 = 3*u - 0*d + 5*d - 61. What is the smallest common multiple of u and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 8}. Give prob of picking 2 x.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -443799 divided by 81\nAnswer: -5479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:20 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 25 = 11*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000045646 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4510*m**3 - 165*m - 165. Let i(v) be the first derivative of 55*v**4\/4 + v**2 + 2*v + 7925. Give -165*i(h) - 2*r(h).\nAnswer: -55*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 - 10*t - 6. Let k be n(6). Let l = k + -131. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - x + 28, 5*o - 10 = 2*o - 4*x. Suppose h = -4*h - 2*m + 29, 0 = -3*m + o. Suppose 2*k - 42 = -3*l, h*l - 5*k - 28 = 17. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19*773716\nAnswer: -14700604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d + 78. Let h be j(10). Let a = 829 - h. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128127 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 482940.2ml?\nAnswer: 482.9402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81.15 - 2.15. Let a = h + -79.0002535. Round a to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504883.\nAnswer: 197, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -350 + 334.3. Let m = -18.7 - r. Sort m, -7, -2\/5, -0.3 in decreasing order.\nAnswer: -0.3, -2\/5, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3368)\/(-112)*(-6 + -2). Let f = 240 + g. Which is the smallest value? (a) -3 (b) f (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-29))\/(1\/(-24)*-12). Put 5\/4, 0.1, x in decreasing order.\nAnswer: 5\/4, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 1 + 1\/6*z**6 + 0*z + 0*z**5 + 1\/2*z**3 + 1\/24*z**4 - 18*z**2. What is the derivative of o(i) wrt i?\nAnswer: 60*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2845103 and 19?\nAnswer: 2845122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -1. Suppose -2*k + 3*w + 11 = -z, -k + 7 = -3*w. Solve -k*t + g + g = -10, -t - g = -4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8 - 8, -5*k = 3*s - 37. Let b be ((-4)\/2)\/(k\/10). Sort 2, -7, b.\nAnswer: -7, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + -0.3. Let s be 16\/(-2) + 144\/12. What is the nearest to b in 1, -0.12, s?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-164)\/(-8)*(1 - -199). Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208023.\nAnswer: 3, 69341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/7)\/g*g**(-1\/4)*g*g*g*(g\/g**(1\/32))\/(g\/(g\/((g*g**(-17)\/g*g*g)\/g))) assuming g is positive.\nAnswer: g**(4033\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 75, -1?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86974.\nAnswer: 2, 43487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nci when three letters picked without replacement from {i: 1, n: 13, c: 3}?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -999 + -ab08?\nAnswer: -b7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 320*l**2 - 8052*l - 60984.\nAnswer: -4*(l + 14)*(l + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - o - 13, 4*x + 4*o = 1429 - 1433 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 96. Let k be b(0). Suppose k = o + 3*o - 4*x, 14 = o + 4*x. What are the prime factors of 480\/o + (-6)\/(-33)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 370?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -10*g + 3. What is k(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b**3 + 26*b**3 - 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12475501 (base 8) to base 10\nAnswer: -2784065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {o: 3, w: 3, n: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.94722m in micrometers?\nAnswer: 3947220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -1 + 3\/2*z**2 + 2*z - 1\/4*z**4 + 0*z**3. Solve v(m) = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231818.9 rounded to the nearest 1000?\nAnswer: -1232000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 584.46018 minutes to days.\nAnswer: 0.405875125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6 = -34. Solve -22 + q = -6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984193601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180 - -109. Let t = 151 - 31. Let z = t + x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/647757 and -191\/45931860?\nAnswer: 505250460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -229522 + 157524. Let w be (-6)\/24 - h\/(-8). What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.1. Let c = -1\/819 + 821\/1638. What is the nearest to b in c, 3, -2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -2211021?\nAnswer: 2211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 688*h + 0*h**2 - 689*h + h**2 + 1. Let t(q) = -4*q**2 + 4*q - 6. Let f(l) = 9*l**2 - 8*l + 13. Let o(s) = 2*f(s) + 5*t(s). What is o(y) + 4*p(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 2. Suppose -35*m + 44 = -31*m. Let f(j) = -4*j + 10. Let y(r) = m*b(r) - 2*f(r). Give y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*h**5 - 385*h**4 - 3760*h**3 - 2680*h**2 + 2480*h - 400 = 0. Calculate h.\nAnswer: -2, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = g - 28, 2*g - 10 - 1 = 15436*s - 15435*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*g, -g - 4*g = 0. Let z(u) = 3*u**2 - 8*u - 11. Let a(q) = 2*q**2 - 5*q - 7. Let p(b) = -8*a(b) + 5*z(b). Give p(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -62151?\nAnswer: 62153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1408050 to the nearest one thousand.\nAnswer: -1408000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.204 + 184.204. Let o = -176 + l. What is the second smallest value in o, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -15*d - 15. Let w(u) = -764449*u. What is w(t(q))?\nAnswer: 11466735*q + 11466735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(8) + sqrt(32)\/sqrt(4) + -4 + 2 + (sqrt(288)\/sqrt(12))\/sqrt(3))**2.\nAnswer: 36*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwk when three letters picked without replacement from {p: 3, k: 6, w: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010149 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11571*w - 971. Let d(q) = -2*q. Calculate d(r(g)).\nAnswer: -23142*g + 1942","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609567.4 centuries to decades.\nAnswer: 6095674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Which is the nearest to -4? (a) 1 (b) s (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663360711?\nAnswer: 3, 13, 2069, 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23008*w - 23065*w + 45939*w.\nAnswer: -134*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + -23 + 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*o**3 - 2*o**2 - o**3 - 7*o**3 - 6*o**3 - 200*o - 4*o**3 to b*o**3 + j*o + p*o**2 + y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4938791 divided by -143.\nAnswer: -34537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408748055.\nAnswer: 3, 5, 11, 13, 619, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3)*(2 + -1). Suppose c*f + 2*f = -45. Let r = 2 - f. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -3 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58320)\/3780*14\/4?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*l, -f + 3 = 5*l + 17. Let n(q) be the third derivative of -q**5\/60 - q**4\/24 - q**3\/6 - 89*q**2 + 2. Give n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/60 + 3*l**5\/10 - 15*l**4\/8 + l**3\/3 + 15*l**2 + 17*l - 2. Factor u(p).\nAnswer: (p - 2)**2*(p + 1)*(p + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + 3 + 1 - -8. Suppose -z*l + 25 = -15. Suppose 40 = 5*r - 3*b, -3*r + 3*b = b - 24. Is l bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3447.5 - -3447.4421904. Let k = -0.0198073 - v. Let d = 0.038 - k. Round d to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237667 is divided by 126.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/9 - (-30)\/9. Suppose -5*l + l - 26 = -2*g, 4*g - 36 = p*l. Let x = -11617\/23 - -505. What is the third biggest value in l, -3, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -23. Suppose -p + a = 5*o, 4*p - 4*o - 20 = -7*o. Find the third derivative of 2*m - 6*m**p + 19*m**2 - 2*m + 6*m**6 wrt m.\nAnswer: 720*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -111492017.\nAnswer: -55746008.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 655.17?\nAnswer: 655.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 199231 or 198678?\nAnswer: 199231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8e0 + 18d?\nAnswer: a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**7\/105 - 2*m**5\/15 - 3*m**2 - 7. Let t(u) be the second derivative of h(u). What is the third derivative of t(v) wrt v?\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 3820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjpjzjm. What is prob of sequence zzpm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*c + 11*c + 7*c)*(5 + 0 - 3)*(2*c - 1 + 1) in the form o*c**2 + g*c + z and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 192681 divided by -26?\nAnswer: -192681\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**7\/42 - 2*m**5\/15 + 5*m**4\/8 + 5*m**3\/3 + 79*m**2. What is the second derivative of t(s) wrt s?\nAnswer: 60*s**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10542\/23 or 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002469727 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1251 or -6256\/5?\nAnswer: -1251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*d**3*n - c*d**2 + 3*c*d*n**2 - 12*c*n**2 - 168*d**3*n**2 wrt d?\nAnswer: 12*c*n - 1008*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpysvpyvyylplkyyvy. What is prob of picking 1 v, 1 p, and 1 y?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.1. Let a = -7 - -9. Is a < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-15 + 28 - 6 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {a: 4, p: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -4 (b) 3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/30)\/((319\/(-220))\/29).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23020*d - 23024*d - 80 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120627793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687485234 is divided by 3765?\nAnswer: 3764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577381?\nAnswer: 7, 82483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose 0 = -h*t - t - 4*g - 9, -4*t - 3*g + 29 = 0. Let j = 74 + -53. What is the remainder when j is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4783 + -0.00185232692.\nAnswer: 4782.99814767308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 745 = -0*k - 3*k, 2*s - 3*k = 1490. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z**2 - 2*z + 2. Let d be l(3). Suppose 3*r - v = -4*v + 24, 5*r = 5*v + d. Let k be r\/(-15)*-3*5. Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86119*s**3 + 61630?\nAnswer: 258357*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68179 or -68178?\nAnswer: -68178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182085 or -182079?\nAnswer: -182079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 7. Let k be y(-1). Solve 6*g + 16 = k*m + 2*g, 4*g = -m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 22 - 12*l**2 - 19*l**3 - 2*l**3 - 12*l - l**3. Let i(n) = 9*n**3 + 5*n**2 + 5*n - 9. Give -12*i(j) - 5*u(j).\nAnswer: 2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -283, -494, -719, -964, -1235?\n\"Answer: -n**3 - n**2 - 201*n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.0629 - -0.0629. Which is the second smallest value? (a) 23 (b) 5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152914 and 3486?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 3, 2.9, 40, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.6 + -0.6. Let y = -255 - -221. Let c = y - -34. What is the closest to c in -5, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1680 and 25.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-4) + 6\/3. What is the closest to 2 in -4\/7, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 251 - x - 2*x.\nAnswer: x + 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3348 take away 57481985?\nAnswer: -57481993.3348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180 + 0*o + 183 - 39*o)*(5*o**2 + o**2 - 4*o**2) + 0*o**3 + 2*o**3 - 4*o**3.\nAnswer: -80*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -108, -0.04, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16779 = -3*p + 71741. What are the prime factors of p?\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160442214.\nAnswer: 2, 19, 30537953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2112?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*36\/(-384)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23334952 to the power of 1\/2, to the nearest integer?\nAnswer: 4831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6088, 12033, 17976, 23917, 29856?\n\"Answer: -o**2 + 5948*o + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 - p**2 - 21*p + 69. What is the remainder when 711 is divided by v(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410151550 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 4*y**4 + 2*y**4 + (-y - 3 + 3)*(2*y**3 - 6*y**3 + 55*y**3) in the form t*y**2 + w*y**4 + z*y + m + h*y**3 and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -4*t - 64 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = -3*y, 0 = -5*b - y - 4*y - 40. Let z(x) = -x**3 - 10*x**2 - 8*x + 11. Let q be z(b). Let d(u) = -u**3 + 2*u**2 - 3*u + 1. Give d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0159, 0, 4, -0.5 in ascending order.\nAnswer: -0.5, 0, 0.0159, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113686795?\nAnswer: 5, 163, 139493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (116*t + 77*t - 310*t)*(-3 - 3 + 7) - t + 0 + 0 - t + 0*t + 0*t + (-5 + 5 + 1)*(0*t - 2*t + 4*t) in the form y*t + r and give y.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = 0, 4*b + 3 = 5*z - 0. Find the third derivative of 6*s**3 + 11*s**z - 10*s**3 + 15*s**2 wrt s.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/12 - 5*g**3\/3 + 13*g**2\/2 - 4*g. What is the lowest common multiple of 4 and t(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2. Let d = -147028 + 147027. Let u(y) = -4*y**2 - 2*y. Let n be (-6)\/4*8\/(-6). Give d*u(w) + n*b(w).\nAnswer: 6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*g + 23 - 47, 0 = 8*g + 4*a - 108 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose -f = -a + 25 + 20, -4*f = d*a - 96. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + 6*f - 2. Let o be x(-5). Let h = -67 + o. Let i be 1*2\/(0 - 1). Sort 5, -3, h, i in ascending order.\nAnswer: -3, i, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 363 + -362. Which is the biggest value? (a) -82 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27336657, 27336641, 27336625, 27336609?\nAnswer: 27336593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -180673.4 rounded to the nearest one hundred?\nAnswer: -180700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2585, -6230, -9875, -13520, -17165?\n\"Answer: -3645*s + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1847512296 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58491129 divided by -5.\nAnswer: 58491129\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4231 + 88897\/21. Find the common denominator of 70\/81 and c.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (7 + (-24612)\/3048)*(-4)\/(-24) and -31\/36.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 55*a**3 + 5*a**2 - 2. Let s(y) = 2*y**3 + y**2. Give -r(p) + 4*s(p).\nAnswer: -47*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i + 26*i**2 - 21215.\nAnswer: 26*i**2 - 21215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -16*a - 5. Let n be k(-1). Suppose -5*c = -4 - n. Suppose -333*s**c + 4*s - 4*s**2 + 4*s**4 + 664*s**3 - 335*s**3 = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, 5*n - 5*u = -4310 + 94904 - 12204. Calculate the greatest common factor of 134 and n.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 r when three letters picked without replacement from {t: 2, r: 1, n: 3, d: 6, p: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w + 4 + 0*w - 10*w + 4 + 11*w as a*w + h and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 368330, -3.\nAnswer: -80, -3, 368330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q - 4*u - 33, -3*u = q - 18. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 4*v + 3. Let t be n(-4). What is the nearest to 0.1 in 2, t, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -1172 - 628. Suppose 5*u + 535 + v = 0. Let f = -36 - u. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7433328 is divided by 4926?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let x(m) be the first derivative of -4\/3*m**3 + 0*m + 0*m**2 + 10. Give c(x(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(13 - 402\/30). Sort -1, 2244, x in decreasing order.\nAnswer: 2244, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3227 and 67\/56440?\nAnswer: 182131880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 1.3\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 235, 413, 909, 1885, 3503, 5925?\n\"Answer: 27*l**3 - 3*l**2 - 2*l + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o - 1. Let h(d) = 7*d + 1. Give 3*a(p) + 2*h(p).\nAnswer: -10*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91273 is divided by 28221?\nAnswer: 6610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56827 is divided by 120.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 77*c**2 - c - 82. Let f(t) = -76*t**2 + t + 83. Let n be (-16 - (-393)\/24)\/(1\/8). Let h(d) = n*z(d) + 2*f(d). Differentiate h(p) wrt p.\nAnswer: 158*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*-5 - (sqrt(2880) + -1*sqrt(2880) + sqrt(2880) + sqrt(2880)))\/((6*sqrt(810)*-1 - sqrt(810)) + sqrt(810)*-2*3 + sqrt(810)).\nAnswer: 29*sqrt(2)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*o - 1436, 2*o - 5*o - 2*z + 2164 = 0. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -196567891 and -0.4.\nAnswer: 78627156.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1666253 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*x + 68*x - 31*x + 272 as d*x + s and give s.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2 - (-312)\/(-88))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-12) + (-17)\/(-4). Suppose -m*c = -4 - 12. Let x(n) = n - 1. Let i be x(c). Solve p = -4*r - 1, -3*p + 5*r = -11 - i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 0 = -56. Suppose -6*g + m*g = 1. Calculate the highest common divisor of 9 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17809755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93878912?\nAnswer: 2, 31, 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 20*o**2 + 0*o**3 - 81*o**2 + 57*o**2 - 2 - o**3. Let p(b) = b**3 + b**2. What is i(h) + 4*p(h)?\nAnswer: 3*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 11, m: 4, y: 2}. What is prob of picking 2 m and 1 b?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -4 - 1)\/2. Let f(c) be the third derivative of 0*c - 1\/660*c**6 - 3*c**2 + 0*c**4 + v*c**3 - 1\/165*c**5 + 0. Factor f(u).\nAnswer: -2*u**2*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) + (sqrt(7) - (sqrt(28) - (sqrt(1372) - sqrt(28))) - sqrt(7))**2).\nAnswer: -1400 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 - 574*b - 9*b**2 + 574*b = 0. What is b?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1581411, 1581096, 1580781, 1580466, 1580151, 1579836?\n\"Answer: -315*h + 1581726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 399 - 399 - 6*i**4 + 14*i - 6*i - 4*i**3 as z + w*i + x*i**2 + t*i**4 + b*i**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1.850618\nAnswer: 0.1850618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9320?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 8*l**2 - 2*l - 2. Let w be v(-8). Suppose -d + 1 = -3*q + 3, 5*q = -d + w. Solve 3*i = -4*t + 2*t - 2, -d*t + 32 = -3*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1122, 1114, 1106, 1098, 1090?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:40 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 16*v + v**2 - 2 + 9 - 10*v. Let j be l(-5). Suppose 0 = j*k + 5*p + 1 - 10, k = 4*p + 24. What is the smallest common multiple of 3 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2*z**2 - 2*z**2 + 68*z**3 - 17*z**3 + 19*z + 2*z**2.\nAnswer: 51*z**3 + 2*z**2 + 19*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, 1, 3 in decreasing order.\nAnswer: 176, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2371 - 0.0371. Sort -8, 2\/5, 0.03, v, 1 in ascending order.\nAnswer: -8, 0.03, v, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 7*y**2 - y - 5. Let m be o(-7). Let f be (-4)\/(-12)*(-1 - -1). Solve m*z + 4 - 12 = f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2284761 (base 9) in base 16?\nAnswer: -12e00e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1113.5 * 0.2.\nAnswer: 222.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + x**3 + 0)*(0*x + x - 76 + 71).\nAnswer: x**4 - 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 511*b**3 + 69978*b**2 + 12137578 with respect to b.\nAnswer: 1533*b**2 + 139956*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1944676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000935 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 147*w + 31. Suppose 0 = -r - 5*a + 23, 6*a + 3 = 7*a. List the prime factors of m(r).\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -26) + -1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35630 is divided by 8905?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2681, -2685, -2685, -2681, -2673, -2661, -2645?\n\"Answer: 2*l**2 - 10*l - 2673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4981179 divided by -2\nAnswer: 4981179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 15 - 55 = 0. Suppose 0*y = -y + b. Let r = -61 - -88. Calculate the remainder when r is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -2)\/(2\/(-18)). Let r be (19\/y + -2)*1. Let d = 68 + -65. Sort r, -4, d in descending order.\nAnswer: d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.368401693*5.\nAnswer: -1.842008465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 33*f + 3105. Calculate j(-94).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivviioihhzziiz. Give prob of picking 2 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**2 + n - 1. Let i(t) = -8*t**2 + 2. Let m(g) = -6*d(g) - 7*i(g). Factor m(o).\nAnswer: 2*(o - 4)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w - 56. Let g = w - -60. What is the remainder when 17 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xaaxxxxaaxxxxxxaaxa.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 3*d)*(-2*d**2 + 3*d**2 - 3*d**2)*(d**2 + d**2 + 2*d**2) + (-8*d + 4*d - 18*d)*(4*d**4 + 0*d**4 - 3*d**4).\nAnswer: -30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 706811579 to the power of 1\/2, to the nearest integer?\nAnswer: 26586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64597.781 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/2, 0.4, 2, -81?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffssssfs. Give prob of picking 2 s.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (2 + sqrt(304) + -2)) + -5 - (-1 + -1 + sqrt(304) + (sqrt(304) - (-3 + 2*sqrt(304)))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82684.\nAnswer: 2, 7, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 5*s**2 - s + 4. Suppose -6*k = -0*k - 6. What is the lowest common multiple of k and q(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/24283 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6 + 27 + -29 - (-23 + 8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 401 + 17?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32\/5 + 6. Let d = 0 + 1. Let f = d + -2. Which is the second biggest value? (a) f (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - s**2 + s + 178. Suppose 8*z - 368872 + 368360 = 0. What is the remainder when u(0) is divided by z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, a: 2, s: 3, u: 1}. What is prob of sequence bbab?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97 + 27 - 10)*(0*d - 3*d + 2*d) to the form r + j*d and give j.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -8762.345.\nAnswer: -3504.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 12*h + 28. Let r be t(-9). Solve -r = x - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1176*r - 2360. Let t be n(2). What is the second biggest value in -4\/5, -12, t, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*f - 244*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -4\/7, -95, -4\/9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/78 and -83\/34.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*2*sqrt(143) - -2*sqrt(143)*-1)\/((sqrt(4455) - -1*sqrt(4455))\/(sqrt(5) + sqrt(200)\/sqrt(10))).\nAnswer: 28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435352.\nAnswer: 2, 54419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1278661, 1278644, 1278615, 1278568, 1278497?\n\"Answer: -t**3 - 10*t + 1278672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 152*n\/5 + 5776\/5.\nAnswer: (n - 76)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*(-2 - (4 - 0)). Let g be x\/(-20) + 14\/(-5). Let u be (-6)\/9*g - (-13 - 0). Solve 5*c = -0*c - u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((8\/180*-5)\/(3901\/747)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 19. Let m(s) be the third derivative of s**5\/60 + 13*s**4\/24 + 7*s**3\/6 - 19*s**2 + 39. Determine m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 52*i**3 - i**2. What is b(1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144135353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -178583146 - -2?\nAnswer: -178583144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.96 - -92. Let v = 6 - g. Let d = 0.34 + v. What is the third biggest value in d, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-414)*18*1*9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 x when three letters picked without replacement from vaxaafxvaxvvaxvj.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 39. Let a be g(-21). Let p = 4 + a. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*f**3 - 547 - 2181 + 204 - f + 206*f**2 - 27*f**3 wrt f?\nAnswer: -6*f**2 + 412*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**2 + n - 9. Does 24 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*n + 168. What are the prime factors of n?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 4, g: 1, p: 2}. What is prob of sequence ipi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 27*t**3 + 3 - 2*t**4 - 2*t - 8 + 3 in the form v*t**2 + x*t + g*t**3 + o*t**4 + w and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8508, -9341, -10730, -12675, -15176?\nAnswer: -18233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-1) + (12 - (-14 + 23))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.095 - 1.205. Let a = -608 + 3042\/5. What is the third biggest value in a, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 992329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 352239 or 352238?\nAnswer: 352239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3337489*g**6 - 4*g**5 - 25*g**2 + 459*g + 112.\nAnswer: -400498680*g**3 - 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let w(g) = -166*g. Calculate w(n(l)).\nAnswer: -166*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(12)\/(-1*sqrt(24)) + ((1 + sqrt(1250) + sqrt(1250))**2 + sqrt(1250) - sqrt(1250))).\nAnswer: 199*sqrt(2) + 10002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-5 - -1) + -1). Suppose -2*a = -2*l, j*a + l = -l. Is 7 a factor of 17 - (a\/2 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340223 (base 8) to base 9\nAnswer: -184464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.06 + 0.08. Let a = 0.02 - f. Suppose -34 = -3*u - 5*x, -1 - 4 = 5*u - 4*x. Put u, -0.3, a in decreasing order.\nAnswer: u, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)\/w)\/w*w**(2\/7))\/(w**0)**49*((w\/(w\/(w\/w**(-1\/3))))**43)**(40\/9) assuming w is positive.\nAnswer: w**(47773\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*w + 62. Let i be (-2)\/(-3) + 14\/6. Suppose -2*a = i*f - w, 3*f + 27 = -0*a + 2*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/3 - 12*u**2 - 80*u\/3 = 0?\nAnswer: -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 141\/(-9))*3. Differentiate y + 81*c - 222 - 7*c + 92*c with respect to c.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**5\/15 + m**4\/8 + 2*m**3\/3 + m**2 + m. Let b(q) be the first derivative of z(q). Is b(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/9*(-120)\/(-220).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/((l*(l**2\/l)\/l)\/l)*l**3*l*l**(-1))\/(l**(-3\/2)*l**4)**46 assuming l is positive.\nAnswer: l**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*d + 14 - 9*d + 0*d**3 - 2*d**3 - 13 in the form w*d**2 + r + n*d**3 + k*d and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 18*k + 9. Let y be w(-10). Suppose 2*j - y - 71 = 0. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 15690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -27*s - 26*s + 55*s + 1. Let t(k) = 5*k + 7. Let n(q) = -3*q - 4. Let x(i) = -7*n(i) - 4*t(i). Let h = -6 + 3. What is h*x(m) + p(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000380899195 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 2*h + 7*v - 12, 2*h + 3*v - 12 = 0. Solve k = h*k - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31 + (-5)\/(20\/12). Let r = z - 31. Let c(x) = -x**3 - 4*x - 3. Let u be (-3)\/(-6)*-6 + 1 + 9. Let y(g) = -2*g**3 - 9*g - 7. Determine r*y(f) + u*c(f).\nAnswer: -f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12. Let h(s) = -s**3 + s**2 + s - 1. Let p(k) = -2*k**3 + 4*k**2 + 2*k - 6. Give r*p(t) - 4*h(t).\nAnswer: 2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*k + k = 3, 0 = 4*i - 4*k - 28. Let s(y) = -y + y + 0*y**2 + y**2 + 6 - 5*y. Calculate s(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-59 + 119 + 104)*(c - 2*c + 2*c) in the form w + s*c and give s.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let b be z(2). Let o be 19 + (0\/2)\/b. Let t = -14 + o. Solve -t*q + 9 = 2*p - 6, q = 2*p + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 17 + 2 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 7. Suppose -2*w + x = -6. Let g(d) = -d**3 + 6*d**2 - 5*d + 5. Give g(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1766*j = -1771*j + 30, 3*j - 10 = -2*z + 10 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2176 or -6524\/3?\nAnswer: -2176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47ab (base 12) to base 3.\nAnswer: -102001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:19 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8261782705\/12047067 + 823454\/1207. Let i = 5\/1109 + r. What is the common denominator of i and 77\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 1, q: 2, i: 1, z: 2}. Give prob of sequence wix.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 + 9*r + 15. Calculate o(8).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124.9999866 + 125. What is w rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 22*r = -9. What is the highest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(128))\/(sqrt(245)*-1) - (-3 + sqrt(300) + -1 - (-4 + sqrt(300)*-1 + sqrt(300)))**2.\nAnswer: -300 - sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2223433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w + 38 + 34 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11474 - -8183. What are the prime factors of p?\nAnswer: 11, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 - 32 + 4*r - r**2 - 2*r**2 + 66 to the form m*r**2 + z + c*r and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/j**(-6)*j**(-1\/4)\/j*j\/(j*j**(-3)))\/((j**(-2\/5)\/j)**(-40))**31 assuming j is positive.\nAnswer: j**(-6909\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 10 = -14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*0\/((-8)\/(-4)). Let u = -4769\/4 + 1192. What is the closest to h in -23, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*w - 24, 3*q - 2*w - 7 = -37. Let y = q + 33. Find the first derivative of -y*z**2 + 58*z**2 - 23*z**2 + 18 wrt z.\nAnswer: 28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 11, f: 2, b: 3, w: 1}. What is prob of sequence fcf?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 20. Solve 0 = -q*a - 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/2 - (-7 - 0). Let n be (-13)\/(-5) - y\/(-10). Suppose 3*k + 2*b - 79 = 0, n*b - 4*b - 48 = -2*k. Is k a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + 2 + -8 + -680 + 677.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35\/24 - -13\/8. Let z be (65\/10)\/((-2)\/(-4)). Suppose 12*y = z*y. Is n less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*p - 16444 = 1202*p + 873*p + 56462 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*p + 1. Calculate the lowest common multiple of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2 - -3) + -27. Let k = 11 - -32. Let s = k + b. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 5*c, 0*g - 12 = -4*c + g. What is the lowest common multiple of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -9395.\nAnswer: 8455.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/6))**(-17\/4) assuming y is positive.\nAnswer: y**(-85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61498488 is divided by 242?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**3 - 7*y**2 - 11*y - 29. Let c(j) = -2*j**3 + 3*j**2 + 5*j + 14. Determine 7*c(d) + 3*p(d).\nAnswer: -2*d**3 + 2*d + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 459094*q**2 + 378213?\nAnswer: 918188*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.039 (b) 3 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 369 - 160. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16910, -17091, -17272?\nAnswer: -17453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.656 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0342268 * -0.2.\nAnswer: -0.00684536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + w**3 + w**3)*(-w**2 + 13*w**2 + 6*w**2) + (-20*w**2 + w**2 + 48*w**2)*(-11*w**3 + 3*w**3 + 0*w**3).\nAnswer: -214*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = -4*l. Let c(o) = 0*o**2 + 4 + o**2 + o**3 - 11*o + 6*o + 4*o. Let j be c(l). Solve -5*q - 3*g + g - 6 = 0, -9 = -j*q + 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9))\/(102\/1445*(-10)\/9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12555, 25096, 37623, 50130, 62611, 75060, 87471, 99838?\nAnswer: 112155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 5 (b) 5\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 7*b**4\/2 + 3*b**2\/2 - 5*b - 1. What is the hundreds digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q + 2*q + 0*q)*(-4*q**2 + 4*q**2 - q**2) + (267*q - 2 - 240*q + 8)*(q**2 + 2*q - 2*q) in the form a*q + b*q**2 + g + z*q**3 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqqqjvqvqajajjqvqvq. What is prob of picking 3 j?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 217 + -56. Let w = -101 + l. Suppose -3*q + v = -w, -5*q = -0*q - 4*v - 93. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**2 - 248*o + 250 = 0?\nAnswer: -125, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.356 (c) 0.03 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3\/2 (c) 4 (d) -1\/21 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 10) to base 16.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 48*z - 45. Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 19. Calculate d(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42*(4 - (-15 - 10731\/(-567))). Solve 196\/9 - o*b + 1\/9*b**2 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from iltiwzzuu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4517 = 55*c - 5067 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 32. Which is the nearest to 1? (a) f (b) -47 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 527144.\nAnswer: 3\/131786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -x**5\/120 + 3*x**4\/8 + x**3\/3 - 3*x**2. Let h(i) be the first derivative of s(i). Give h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 6930666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - -20*(-21)\/(-112). Which is bigger: k or -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62755376 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 9*y**2 - 10*y + 6. Let n be o(8). Let j(r) = r**2 + 9*r - 6. Let x be j(n). Suppose -x*p = 5*w - 12, w + 7*p = 3*p + 12. Round w to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2 - 136026*w - 27832536 = 0.\nAnswer: -204, 68217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8965, 10056, 11147, 12238?\n\"Answer: 1091*y + 7874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252*-12392.\nAnswer: 3122784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -107208930 divided by -674270?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 216.8 + -7795742\nAnswer: -7795525.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(1\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 3*t + 3*t + 225*t**2 - 4*t**3.\nAnswer: -4*t**3 + 225*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67*(-5)\/(-25) - ((-56)\/70)\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/21)\/(p\/(p**(-2\/11)\/p)))**(3\/47)*(p**(1\/7)*p*(p\/p**(-1\/6))\/p)**(-3\/20) assuming p is positive.\nAnswer: p**(-9895\/28952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*s - 93 + 130 + 25*s + 15*s - 39*s to m + t*s and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/7)*k**0\/k*k\/(k\/((k*k**(1\/5)\/k)\/k*k*k))*k*k**(-1)*k**(-7)\/k**(-2\/11)*(k*k**(2\/5))**13 assuming k is positive.\nAnswer: k**(4569\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t**3 + 4*t - 5. Let z be c(3). Let b be 7 + z\/(-12) + (-10)\/(-66). What is the second smallest value in -2.7, b, -3?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g - 119. Let l(q) = 2*q - 60. What is 7*l(p) - 3*s(p)?\nAnswer: 2*p - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -24) + -22 - -38\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185702268649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -938 = -7*y - 34*q, -3*y + 13345*q + 106 = 13349*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 4*b**2 - b + 2. Let k be y(-4). Suppose i + 0 + k = 0. Find the common denominator of i + 3 + (-335)\/(-80) and -91\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n - 16. Let i(c) = c - 3. Let r(t) = -11*i(t) + 2*v(t). What are the prime factors of r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.409 and 308?\nAnswer: 125.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2720, 10899, 24532, 43619, 68160?\nAnswer: 98155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28\/16 - 2\/(-8). Suppose 2*o - 3 = -a, -k*o + 4 = -5*a - 5. Solve i = o*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*r - 4*g - 10, 4*g = -2*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -7 - (2 - 1). Let c be ((-6)\/(-8))\/((-1)\/(-80)). Calculate the greatest common divisor of p and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 125 = -5*b, 7*k - 15504 + 15559 = 2*b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 294833047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20626, -20652, -20716, -20836, -21030, -21316, -21712?\nAnswer: -22236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3184 less than or equal to 3182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 173. Let i = 98 + s. Calculate the remainder when 83 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + 2 - -2) + 0 + -54. Let s be 1\/(10\/4) - b\/35. Let c = 6530\/11 - 593. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 890 + -884. Suppose 3*g - 71 = -f, 0 = 3*g - 2*f - 89 + 24. What is the remainder when g is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -160d?\nAnswer: 160a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 3*m - 4. Let n be y(3). Let s(k) = 5*k + k - 3 + k + k - 4. What is the tens digit of s(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 983734*b*d**2*u**2 + 2*b*d**2 + 5*b + 20*d*u**2 + 66*d - 5*u**2 wrt d.\nAnswer: 1967468*b*u**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 750001*c. Let r be a(8). Suppose -5999980 = -2*g + 5*q, 2*g - 2*q + r = 4*g. Round g to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -205, -296, -383, -466, -545?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - 0) + 66 + -60.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6013079.63 from 3.\nAnswer: -6013076.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f*f**(-11))**(-24)*(f**0)**(-18)*(f**(-1\/4)\/f)**(2\/59) assuming f is positive.\nAnswer: f**(26899\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -58074449 at most -58074448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*t**2 + 26*t**2 + 122*t**3 + 2170 + 2*t - 2171 to c*t**2 + h*t + f*t**3 + d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**5\/20 + 3*l**4\/4 - 11*l**3\/6 + l**2\/2 + 29*l + 1. Give x(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5874715 rounded to the nearest ten thousand?\nAnswer: -5870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264461*r - 264301*r - 5920 = 0 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -3)\/(-5)*(-3 + 1). Solve -2*j = -4*g + 8, 0 = g + i*g + 2*j - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 12*j + 3*o = 3*o + o + 40, -14*j = 4*o + 266 - 256 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80120 + -958736. Let n = -28856 - l. Round n to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mimiii.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3.9, 3, -4, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 99. What is the tens digit of l(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 253788 and 0.1.\nAnswer: 253788.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4637872 divided by 2006?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2166 - -2049?\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -14?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00974297101 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18213163 and 25.\nAnswer: 18213188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, h: 7, k: 2}. What is prob of sequence hhkh?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*v**3 - 22077*v**2 + 39240*v - 17700.\nAnswer: 3*(v - 59)*(11*v - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*j + 4*d - 6*d, 0 = 5*j + 2*d - 26. Put -172, -4, j, -2 in descending order.\nAnswer: j, -2, -4, -172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 11*l + 12. Let f be ((-2)\/3)\/((-2)\/(-108)). Let u = f + 25. Let v be z(u). Solve -5*g = 5*d - 5, 2*g - 3*d + 0*d - v = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*f**3 - 2*f*p**2 - 126*p**2 wrt f?\nAnswer: 30*f**2 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 13.7. Let u = -4880 - -19521\/4. Put 2.5, u, y in increasing order.\nAnswer: y, u, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 - 4*c**2 - 4*c**2)*((5 - 1 - 2)*(2*c + 0*c - c) - 207 - 9 + 2*c + 72).\nAnswer: -12*c**3 + 432*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:54 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239554 is divided by 2065.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 81079, 81064, 81049, 81034, 81019?\n\"Answer: -15*r + 81094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + f**2 + 17*f + 4. Let u(t) = -2*t**3 - 15*t - 3. Calculate 3*p(i) + 4*u(i).\nAnswer: -2*i**3 + 3*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20328\/63 + 2\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 329 and 6439?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-3))\/((-7461)\/(-3729) - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*i**3 - 226*i**3 - 3*i**2 + 9*i**2 + 435*i**3 - 6*i**2.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17757570 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -18, -0.8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27.15 - -27.35. What is the third smallest value in -44, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - p**4 + 0*p**4 + 0*p**4 + 7 in the form r*p**2 + o*p + l*p**3 + h + v*p**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 16*t - 5. Suppose 17033 - 17438 = -45*p. Calculate the remainder when b(4) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 28 - 126*a**5 + 6 + 122*a**5 - a - 2*a**5 + a + (-a**3 + 0*a**3 + 2*a**3)*(a**2 - 2*a**2 - a**2) - 3 + 3 - 2*a**5.\nAnswer: -10*a**5 - 2*a**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4587 + 7114. Let s(z) = 0 + 0 + q*z + 0 - 2525*z. Let o(n) = 10*n - 1. Give s(o(k)).\nAnswer: 20*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/((b*b\/(b*b\/(b*b\/b**(-7)*b)*b*b)*b)\/b))\/(b**(2\/7))**47 assuming b is positive.\nAnswer: b**(-607\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.014, -406, -1\/6, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/7 + 600*o**2\/7 + 14079*o\/7 + 88218\/7.\nAnswer: 3*(o + 13)**2*(o + 174)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 136 + -3?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 445 - 206 - 237.\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9746 greater than -9753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1174800 and 2112?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700)*3 + -4 + 3)**2.\nAnswer: -80*sqrt(7) + 11201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 285 and 390?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.3858835 * -4.\nAnswer: 69.543534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, -4 in decreasing order.\nAnswer: 20, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 30*s**3 + 9*s - 9*s - 3*s.\nAnswer: 30*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u + 23. Suppose o = -2*o - 2*n - 7, 0 = -5*o + 4*n - 41. Let j(p) = -22*p + 46. Let s(i) = o*g(i) + 3*j(i). Differentiate s(b) with respect to b.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -3*j**2\/2 - 3*j - 6. Let w be s(-2). Let k = -2.25 - -0.25. What is the smallest value in k, 0, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2838 and 938346?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3648 and 2112?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:43 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. Let z = i + -3. Let f be (0\/(12 - 5))\/1. What is the closest to f in z, 1\/3, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 228, 309, 378, 435?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23821014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 13*v**2 - 11*v + 9. Let q be h(-12). Let s be (0 - 1)\/(2\/(-12)). Let l = s + q. Solve 3*g = -l - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20735*b*p + 12*b*v - p*v - 8*p - 203*v wrt v.\nAnswer: 12*b - p - 203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -64*a + 182. Let q(s) be the first derivative of 0*s**4 + 0*s - a + 9\/2*s**2 + 0*s**5 + s**6 + 0*s**3. Find the second derivative of q(c) wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w + 1)*(-443*w - 16 + w**2 + 1 + 441*w).\nAnswer: -w**3 + 2*w**2 + 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1294907399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -230? (a) 9 (b) -0.03 (c) 0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.217 (b) -1 (c) -1.7 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-27))\/5)\/(47\/188).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5404296 * -0.7\nAnswer: 1.77830072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 7. Let g be 1767\/63 - (-2 + 14\/6). Let x = 28 - g. What is the nearest to -1 in x, b, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, -0.5, 23, -1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((9 - -1) + -8 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 + -59)*7\/(-6)*(-18)\/(-1113)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8327647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 9*s**2 - 10*s + 1. Let q be m(-10). Which is bigger: -2\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1050*k - 405 - 2745 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 0 + 0*w + 4\/5*w**5 + 0*w**7 + 0*w**4 + 1\/40*w**6 + 0*w**3 + 3\/56*w**8 - 91*w**2. What is the third derivative of l(h) wrt h?\nAnswer: 1080*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 139, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -1284*m**5 + 5132*m**4 - 2552*m**3 - 5144*m**2 + 3836*m + 12 = 0. What is m?\nAnswer: -1, -1\/321, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**2 + 43*b - 189. Determine j(6).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*48\/224*20\/(-6).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 3438. Is 1\/2 - r\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:48 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/60 and -27\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3023390, 3023390, 3023388, 3023384, 3023378?\nAnswer: 3023370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c. Let q(g) = -6*g. Let p(x) = -466 + 999 + x - 496 - x**2. Let h be p(7). What is h*t(u) - 4*q(u)?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264897?\nAnswer: 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8242 - 17112 + w + 8874.\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7469*d + 375526 = -640258 for d.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(228))\/(sqrt(12) + 1*sqrt(1200) + sqrt(1200)) + 1.\nAnswer: 1 + 10*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 462*n**2 - 373 wrt n?\nAnswer: 924*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-588)*84\/930.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379570869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfffzz. Give prob of picking 3 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/456 - (-143)\/(-95). What is the third smallest value in n, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1034)\/33*3*6*(-7)\/(-84)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 5*j. Let p be t(5). Suppose p = 3*s, -3*d + s = 1040 - 386. Let b be d\/48 + 13\/(-39). Which is bigger: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h**4 - 650*h**3 - 6145*h**2 - 12350*h + 11160 = 0. Calculate h.\nAnswer: -31, -9, -4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 0.1 (b) 1 (c) -3\/4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 7, -0.2, 28, 0.4, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f - 2*f + 448 = 0. Calculate the least common multiple of 122 and f.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3424\/11 + -3944987\/12672. Calculate the common denominator of t and -8\/27.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 117db4b + 8?\nAnswer: 117db53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 1956.\nAnswer: 13692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, q: 2}. What is prob of picking 3 p?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297355*-1187.\nAnswer: -352960385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 5*g + 67 = 0, -11*g = 5*p - 15*g - 77 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43119 and 1431.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -8*z - 8. What is the tens digit of ((-299)\/(-26) + -11)*751*z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74326 and 8792.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3)*1 + 4. Find the first derivative of -4*t**3 - 3 - 1 + 3*t**x + 3 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -22680050431.\nAnswer: -22680050429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeefeeeeeeeeeeee. Give prob of sequence ff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9121 + -6111. Let j = t + -2127. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*r = -6, t = r + 48154 - 48160 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpppppyyykpyk. Give prob of sequence kk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 2*g**5\/15 - 7*g**4\/12 - 7*g**2 - 6. Let q(w) be the second derivative of t(w). Find the second derivative of q(d) wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 - 28 = 0. Let z = 38 - 26. Calculate the highest common factor of y and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90177538.\nAnswer: 2, 11, 197, 20807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3440.979 to 0 decimal places.\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156073 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 16) to base 2\nAnswer: -1111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**9\/60480 + x**8\/4032 - x**7\/840 - x**6\/240 - 11*x**5\/60 + 14*x**2. Let f(z) be the third derivative of i(z). Give f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3131, 3132, 3131, 3128, 3123, 3116?\n\"Answer: -p**2 + 4*p + 3128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1704*z. Let d(p) = p. What is s(d(o))?\nAnswer: 1704*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 58 + 3 = -7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + (-41794)\/16*(4 + (-24 - -12)).\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8 and 97\/2552.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 11*q**2 + 8*q + 13. Let l(i) = -158*i + 4118. Let b be l(26). What is j(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/3 (c) 0.05 (d) 55893\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -2) + 0\/1. Let c(l) = -l**3 + 4*l**2 + 3*l + 3. Calculate c(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76711809 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733025 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 + 17*k**3 - 5*k**2 + k**2 + 2*k**2 in the form b*k**2 + f*k**3 + x + z*k and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -20 - (1 + -70 + (-3003 - -2952)).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 22.8 (b) 93 (c) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9945 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18*3*(-1)\/(-9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.86 - 5.36. Let s = -0.02 - 0.28. Let d = -851 - -850. Which is the nearest to s? (a) h (b) d (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99841, -99872, -99903?\nAnswer: -99934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 14*s - 667. What is t(39)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = r - 2*r + 15, 0 = -4*n - 2*r + 22. Suppose -2*c - 3*c = 3*u + 27, -c - 19 = n*u. Let m = c + 42. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*h - 377*h - 179 = -53 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2 + 5 - q**2 - 3*q - 4*q. Let j be p(-7). Suppose j*t + 99 = 5*l + 4*t, 0 = 2*l + 4*t - 36. What is the greatest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 4\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3\/4 - 3175*r**2\/2 - 574015*r\/4 - 3073035 = 0. What is r?\nAnswer: -49, -37, 1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) 214 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51250 is divided by 4264.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 200*d**3 + 5*d - 60. Let s(k) = 199*k**3 + 6*k - 61. Let i(m) = -5*r(m) + 4*s(m). Find the second derivative of i(b) wrt b.\nAnswer: -1224*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 7*h**2 - 7*h + 4. Let z be w(6). Let j = -70 - -131. What is the remainder when j is divided by -2*2\/z - -19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 10*g**2 + 10. Let h be 15\/(-5) + -7 + 0. Let p be m(h). Suppose p = y - 18. What is y rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442*s**4*u + 17*s**4 - s**3*u - 2*s**3 + 144*s**2*u - 2*s**2 + 95*s - u wrt s?\nAnswer: 10608*s*u + 408*s - 6*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, e: 1, q: 1}. What is prob of picking 1 e and 3 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 1, 56172, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 369305659 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: Let g(k) be the first derivative of -1\/4*k**4 + 0*k**2 + 0*k + k**3 + 42. Factor g(i).\nAnswer: -i**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135092*w - 122052 wrt w.\nAnswer: -135092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*3 - (77 + -22)\/11. Solve -12*c + 11 = -d - o*c, -7 = -d + 2*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42158167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 22038.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 + 13 + -47 + 32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 23296891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*k = -p + 1815, 439370*p = k + 439374*p - 15 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 390, -50, -648, -1404, -2318, -3390?\nAnswer: -4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 + 0*n**3 - n**3)*(4*n + 3 - 3)*(19 + 9 + 18).\nAnswer: 368*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 218598*o**2*s**3 - o*s**3 - 153833*s**3 with respect to o.\nAnswer: 437196*o*s**3 - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/20 - 2*i**4\/3 + i**3\/3 - 11*i**2\/2 - 23*i. Let s be l(8). Solve -s*t + 34 = -3*h, 4*h = 2*t + 1 - 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.911 * 0.5\nAnswer: 4.9555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/6 - 2*u. Let p(k) = 4 - 42*k**2 + 10 - 9 - 5. Give p(d(z)).\nAnswer: -168*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/17 (b) -1 (c) -2 (d) 0.02 (e) 8 (f) 0.05 (g) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 2. Let b(y) = -y**3 - 132*y**2 - 265*y - 651. Let c be b(-130). Let i = -0.13 + 0.04. What is the nearest to c in f, i, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 16*h - 2547. List the prime factors of h.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {s: 4, f: 1, j: 2, g: 2, h: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -220021?\nAnswer: 220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96650, 193305, 289960, 386615?\nAnswer: 483270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -11110?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/8 - 3*m**3\/2 + 34*m**2. Let u be c(-12). Suppose u*k - 24*k - 18 = 0. Solve -k*g = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2604 - 850 = 2534*i - 4242 - 6674 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x + x**2 + (3*x**2 - 5*x**2 - 3*x**2)*(3 - 1 - 1).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -101. Suppose g + b = 6*g. Which is greater: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itdaooai. What is prob of sequence ad?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -0*v + 7*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 93445*o + 33980. Let r(c) = 5*c + 2. What is g(u) - 16990*r(u)?\nAnswer: 8495*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6435 - -6434. Let p(j) = 26*j + 5. Give p(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -36597165148 and 16.\nAnswer: -36597165132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 2 u when four letters picked without replacement from {l: 1, u: 4, f: 5, t: 1, a: 3, r: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3034, 393, 4 in descending order.\nAnswer: 3034, 393, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 9*z**2 - 9*z + 10. Let d be p(8). Calculate the greatest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g - 13. List the prime factors of v(-9).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261\/1540 + 71\/308. Suppose y + 46\/5*f**2 - 22\/5*f**3 - 26\/5*f = 0. What is f?\nAnswer: 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23431888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 163, 545, 1271, 2455?\n\"Answer: 19*x**3 + x**2 + 16*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*s**4 - 1314984*s**3 - 271358*s**2 - 13916*s = 0.\nAnswer: -1\/9, -2\/21, 0, 3479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1. Let g(d) = 13*d**2 + 143. Let q(x) = 2*g(x) + 286*i(x). Let o(a) = 2*a**2. Determine q(o(f)).\nAnswer: 104*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**2 - 2*i + 1. Let h be z(1). Let g(y) = -785*y + 788. Let v be g(1). Solve -5*l + m + 5 = 0, -4*l - h*m = -v - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - 14*u**2 + 44*u + 11. Determine p(5).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:15 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4474800 or 71596811\/16?\nAnswer: 71596811\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -2*b, -2*b = -4*b - 4*f + 36. Suppose b*o - 14*o + 300 = 0. Calculate the common denominator of -73\/2 and 5\/4*(-185)\/o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1301 + -1193)\/((-9)\/(-10))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 2598*a - 1289*a - 932*a**5 - 1229*a wrt a.\nAnswer: -18640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479135873 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.9. Let g be 50168\/18813 - (0 + 10\/6). What is the biggest value in b, -21, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -236.63 - -236.83. Let f = -0.24 + -0.06. Let q = f + 0.1. What is the third smallest value in q, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 34*k + 40*k - 1 - 18*k.\nAnswer: -12*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 458647777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**2 + 14*a + 18. Let x be (4*(-2)\/(-4))\/(4\/(-22)). What is the hundreds digit of q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 + 52*j**2 - 41*j - 12. Calculate the remainder when 170 is divided by s(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, g: 4, q: 4, s: 7, b: 1}. What is prob of picking 1 g and 1 s?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514962, 1029554, 1544160, 2058786, 2573438?\nAnswer: 3088122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1582258 and 36112712.\nAnswer: 613916104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93*h - 124 + 124 to r + v*h and give v.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*a - 4*r, 4*a + 14*r - 16 = 9*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 708*x + 14135. Give q(-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1 + (1 - 344310). Let g = 2313045 + -1438735. Let f = g + k. Round f to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 57?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 334b0 - -33?\nAnswer: 33503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/3 - 2\/6. Suppose -3*w + 225 = 222. Let x be ((-1)\/w)\/(d\/9). Which is smaller: x or 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 5:03 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3100032 + 0?\nAnswer: 3100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62096 is divided by 2889.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cceeeecbccc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-49 + 49 + 12*o)*(2*o**2 + 2*o - o**2 + 3*o**2).\nAnswer: 96*o**3 + 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l**3 - 57*l**3 - 19*l**3 + 13*l**3 + 12 + l wrt l.\nAnswer: -336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 18, a: 2}. What is prob of sequence aua?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/104 and 95\/969934?\nAnswer: 50436568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2866.\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9916487*j*o**6 - 132*j*o + 7*j + 228*o**2 - 2*o + 2 wrt o.\nAnswer: 1189978440*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -276, -711, -1434, -2511, -4008, -5991?\nAnswer: -8526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, b: 8, z: 2, i: 2}. Give prob of sequence zli.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/264871?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t + 39. Let c be o(7). Suppose c = 12*s - 7*s. Solve 0*k = s*d + 2*k - 9, 4*k - 11 = -3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:28 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -265 + -4?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 4, s: 2, i: 1, n: 1, g: 3}. What is prob of picking 1 i and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1073 + 10)*(-2)\/(-2). Suppose -14*m = -h - 1689. What is the remainder when m is divided by 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*g, 11*g + 172 = 2*k + 13*g. Calculate the greatest common factor of 1407 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -368360 and -215 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - g**2 - 3*g - 4. Let o be t(-2). Let z be 103\/5 + (-4)\/(-10). Let h = z + o. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 3*x - 27. Let f be w(10). Let k = -95 - f. Find the third derivative of 5*j**2 + 12*j**5 - 24*j**2 - 10*j**k + j**5 wrt j.\nAnswer: 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504 - 6342 - (64 + 0)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5385196, -5385208, -5385220, -5385232?\nAnswer: -5385244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, 2\/13, 2.6, 0.1, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 3. Suppose 2*d - 3 = 3*d. Let x be t(d). Suppose 3*q - 149 = k, -5*q - x*k = -276 + 51. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:36 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2*10\/6. What is the second derivative of -g - 2*g**4 + t*g - 3*g wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/7 greater than 180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i = 18*i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11083 + 11084 - 4*m**3 + 113*m - 22167 + 134*m.\nAnswer: -4*m**3 + 247*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a + 10. Suppose -2*z + z + 4 = 0. Let w(q) = -z + 1 - q + 5. Let d be -5 - (-4)\/2 - 8. What is d*w(s) + 2*v(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13632 (base 8) to base 2.\nAnswer: -1011110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2 - -3)*11. Let p(j) = 80*j - 240. Let z be p(3). Solve -5*a + 2*d = h, a + 5*d - 5 - 10 = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z - 161. Let a(g) = -49*g + 4. Let l be a(-1). Let r be p(l). Let i(s) = s**2 - 3. What is i(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 276.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1cb4 + -235e?\nAnswer: -59a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28688\/(-66) + 1\/(-3). Let k = -185 - p. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a century?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 18101108?\nAnswer: 181011080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 1810432*r\/5 + 362086.\nAnswer: 2*(r + 1)*(r + 905215)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 2. Let q be d(1). Suppose 4*h - 26 = 5*a + q, -3*a - 9 = 0. Let f be ((-12)\/(-4))\/h - 1. Solve -p + f*p = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 33 = 2*b. Suppose 2*d = b + 89. Is d a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 724*r + 3937 + 9587 - 492 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 58. Determine j(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 3663986020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*32534142\nAnswer: 3253414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*v**2 + 315*v - 33*v**3 - 40*v**3 - 7*v**2 + 75*v**3 in the form t*v**3 + f*v**2 + z + s*v and give s.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/11 + 2*i**4 + 68*i**3\/11 + 92*i**2\/11 + 58*i\/11 + 14\/11 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-25) - (-258)\/15. Let d = -20 + c. Let k be d\/(-12) + 2\/(-8). Solve k = -5*z + 10, b = -2*b + 2*z - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -960325 - -1900594. Suppose m - 5*v = -a, 3*m - v + 0*v = -2820737. Let p = -480244 - m. What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 18*c + 32. Let j be q(-22). Let v = -115 + j. Suppose -2*b + 0*b = 2*i - 16, 0 = v*i - 20. Solve -4*y + 12 = 4*a, -b*y = -y - 4*a + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13\/2))**(2\/3) assuming z is positive.\nAnswer: z**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -7*o**5\/20 - 5*o**4\/12 + 5*o**3\/6 - 8*o. Let a(w) = -8*w**3 - 6*w**2 + 6*w. Calculate -5*a(i) + 6*c(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44161 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1136 and -5\/149526?\nAnswer: 1196208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 17\/42*h**7 + 0 + 0*h + 0*h**6 + 11\/15*h**5 - 87*h**2 + 0*h**3 + 0*h**4. Find the third derivative of m(d) wrt d.\nAnswer: 2040*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 3, 0.7, 0.1, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 9*o - 3 = 0. Is 7\/o + (-2)\/3 - -256 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 43*p**2 + 580*p + 39*p**2 - p**3 - 2*p**4 - 582*p as t*p**4 + i*p + h + j*p**2 + z*p**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:18 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j - 51. Suppose 44 = -144397*c + 144419*c. Let v(g) = g + 10. Calculate c*d(m) + 11*v(m).\nAnswer: -m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 34. Let t(k) = 9*k**2 + 6*k - 2. Is t(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.1, 0.05, 1\/4, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9423.218 millilitres?\nAnswer: 9.423218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/21, 3\/4, 1.1?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:20 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 2772*v + 5543.\nAnswer: (v - 11086)*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44215099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119508 is divided by 771.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1. Let d(l) = -l + 1. Let j(h) = d(h) + v(h). Let u be j(-1). What is the second derivative of -u - i**3 + 1 + 3*i**3 - 3*i wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -3. Suppose -2*c + 4*p = a, 4*c - 2*p + 13 = 3*p. Let w = c + 13. Calculate the highest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.645787 rounded to 1 decimal place?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v**2 + v - 1. Let l be t(-2). What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 17*v + 12. Suppose -3*k + 4*w = 8, -v*w = 3*k - w - 4. Let z(u) = u**2 - u. Give z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + -50. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttmt when four letters picked without replacement from {m: 10, g: 2, t: 3}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1557260.\nAnswer: 2, 5, 77863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/2561 and -54\/11?\nAnswer: 28171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v + 32*v - 17*v - o - 1, 0 = -4*v + 5*o - 31 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 0.3, 8\/107, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -12. Let z = 16 + t. Is 8 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.07 - -0.07. Which is the third biggest value? (a) -10\/3 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760501 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/(-204)*17)\/((-6)\/(-57789)).\nAnswer: 3, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by -2.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:38 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15577 + -3614. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1394660 and 3345540.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 2*i**3 + 565*i - 565*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150160 is divided by 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.963 - -0.863. Which is greater: -26\/141 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-3 + 2 - 4)*(-7 + 7 + 18*v).\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3263 or 1?\nAnswer: -3263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 2135, 5947, 11583, 19043?\nAnswer: 28327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 723 - 341 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(288) + -3)**2 + ((-5 + sqrt(288) - sqrt(288)) + sqrt(288))*-2*-3.\nAnswer: -72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.74529 + -4.782. Round c to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155088954?\nAnswer: 2, 31, 1213, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 53, 3, 5, 2 in decreasing order.\nAnswer: 53, 5, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.08, 2, 10?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 1. Let x(n) = -j + 5 + n**3 - 13*n**2 + 12*n**2. Calculate x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t + 2. What is the remainder when 12 is divided by s(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 5*m = 8*n + 2*m + 77*m - 429, 4*n = -m - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 + -131. Let a = -43 - -88. What is the remainder when a is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -0.5 (c) 4 (d) 0.201961\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4352130, 17408665, 39169604, 69634947, 108804694, 156678845?\n\"Answer: 4352202*a**2 - 71*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*j**2 + 48\/5 + 44\/5*j.\nAnswer: -4*(j - 12)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123639 is divided by 136.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2\/7*n + 6\/7*n**3 + 0 + 4\/7*n**4 + 0*n**2 = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -374 - -751. Suppose -3*u - 17 + d = 0. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 3232 and -3240901.\nAnswer: -3237669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 4. Suppose -2*w = -w + 5*d - 1, 5*w + 2*d - 74 = 0. What is the remainder when (-3 - -17)\/(w\/8) is divided by h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -7730?\nAnswer: -7733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = n, -19 = -o + 3*n. Suppose -5*h - 5*x = -o, -48 = -4*h + 3*x - 0*x. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/8 or 251170?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201001 - 1002212?\nAnswer: -1210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -602 divided by 1072\nAnswer: -301\/536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 5177580?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -11*g**4\/4 - 8*g**3\/3 - 134. Let w(u) = 7*u**3 + 5*u**2. Give 8*w(c) + 5*y(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75996203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l - 1. Let h(t) = -3*t**2 - 3*t + 7. What is h(b) + 4*u(b)?\nAnswer: b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 1, j: 1}. Give prob of sequence dd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:28 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose -9500000 = g*r + 2*r. What is r rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3641 and -16989.\nAnswer: -16989.3641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 at least 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 8 = 3*v, 38779*d - 38776*d = -5*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 1*sqrt(363))**2 + (sqrt(6)\/sqrt(2) + 4 - (sqrt(192))**2)*4.\nAnswer: -1510 - 172*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, f: 1, g: 5, j: 1, v: 4, q: 4}. Give prob of picking 1 f and 1 j.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.134 + 15.134. Which is the third smallest value? (a) t (b) 0.2 (c) -17 (d) 2.2 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/12)\/((-10)\/4). Let d = 1\/10 - v. Let l = d + -2. What is the third smallest value in 1, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002667252 rounded to 6 dps?\nAnswer: -0.000267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 476 and 3196?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132476806 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30948899 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.740018 and -368.\nAnswer: -365.259982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.612855ml to litres.\nAnswer: 0.006612855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-three quarters of a litre in millilitres?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(4\/524)\/(-1))\/((212\/(-53))\/8).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5163602, -5163563, -5163502, -5163425, -5163338, -5163247, -5163158, -5163077?\nAnswer: -5163010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92745*p + 5618 = 92865*p + 578 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69.6 + 80. Let b = 48885.3899 + -48875. Let a = g - b. What is a rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 25*j + 5 + (2 - 3 - 1)*(-4*j + 3*j + 0*j).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 11. Suppose d = -4*k + 14 + 30, 5*k - 5 = 0. Find the common denominator of (-306)\/d - (o + -6) and 57\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -4*o. Let w = -12 + 9. Let x = w - -6. Which is the nearest to -1\/5? (a) o (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*w - 10. Let s = 4.1 + -4. Which is the nearest to 0? (a) w (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 9 = 24*q - 23*q, 5*q + 10 = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80210733?\nAnswer: 3, 31, 862481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*q = 12, -5*m - 7*q = -3*q + 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 1505374.\nAnswer: 27096732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 2774 = z. Let x = 87 - z. Solve x - 11 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-42)\/(-7))\/((-39)\/130).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n. Let g be b(-1). Suppose 63 = 6*c + 51. Sort 4, 1, g, c in descending order.\nAnswer: 4, g, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 5, -807, -2\/17, 4.98, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10077 or 110832\/11?\nAnswer: 110832\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10705 - -10705.4. What is the fifth smallest value in -2\/11, -7, f, -6.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11469*n**3 - 22216 wrt n.\nAnswer: 34407*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 11*k + 36. Let o(u) = 2*u**2 + 4*u + 12. Give 4*a(x) - 11*o(x).\nAnswer: 2*x**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r. Let d(s) be the first derivative of -s**2 + s**2 - 4 + 2*s**3. Determine d(h(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/126*24*1*2\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(((-210)\/12)\/7). Let m(n) = 5*n - 10*n + 12*n - r. Let d(b) = -b + 1. Give -5*d(k) - m(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/69)*s*s**(-29)*s)\/(s**(-2\/19)*s**(-1\/24)*s*s) assuming s is positive.\nAnswer: s**(-97273\/3496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 12 = -i. Suppose -5*m = -5*j - 60, -i*j = -m - 5*j + 27. Solve -w - 1 = -2*q, -3*w + q = 2*q + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69611179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -41, -63, -85, -107, -129?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k - 20, -4*k = 5*p - 26. Suppose m + p*m - 477 = 0. Suppose -m = -5*j - 29. Calculate the highest common factor of 39 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.35 - -57.05. Sort -3, 1\/2, m, 11, -0.5.\nAnswer: -3, -0.5, m, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 11*q - 6. Let b(d) = -8*d**2 - 13*d + 5. What is 5*b(c) + 6*p(c)?\nAnswer: 2*c**2 + c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325680051?\nAnswer: 3, 108560017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 2*l - 17, 517*w - l = 508*w - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*4*(-4)\/(-64)*34. Let z = -69 + 18. Does 10 divide s\/z + (-362)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.167028 times 9\nAnswer: 1.503252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -133, 2630280?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*h + 9 - 25, -2*h = 5*b - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 6*b**2 + 4*b + 3. Let s be x(6). Is 0\/(-1) + (s - 0) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 696897 or 108\/5?\nAnswer: 108\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 60 = r, -4*r + 264 = r + 2*w. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/10 + -1 + 3. Suppose -5*d = -31 - o. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348\/15*(-10)\/(-4) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(21)\/sqrt(28))**2) + (-6*1*sqrt(3) + -3*(sqrt(3) - (sqrt(3) + 1)) + sqrt(3))**2.\nAnswer: -30*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374\/66 - 6\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1852 - 293. What are the prime factors of s?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78045 micrograms in milligrams?\nAnswer: 0.00078045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4552*z + 4554*z = -17 - 13 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -213*n**2 + 2*n**4 + 1 + 213*n**2 + (21 + 2*n**3 - 21)*(3*n - 3 + 3).\nAnswer: 8*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 379539534 divided by -4054\nAnswer: -93621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-22)\/(-198)). Suppose x - 186 = c*t, -4*x - 4*t + 949 = x. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -687646, -687713, -687778, -687841?\nAnswer: -687902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -2*h**5\/5 - h**3 + 3*h**2 - 5*h. Let y(u) = 7*u**3 + 5*u - 5. What is 5*x(j) + 6*y(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2 + 1 - 4*i + 8*i**2 - 6*i. What is the units digit of j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Suppose u*s = 4*k - 229, k - 36 = -5*s + 27. List the prime factors of (3 - 1 - 3) + k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16806? (a) 0 (b) -2\/5 (c) 3\/7 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 31*j + 130. What is p(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782207715.\nAnswer: 3, 5, 11, 13, 157, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13521 + -3?\nAnswer: -13524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 23.7 (b) 1 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 78036100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 2. Let h be z(3). Find the second derivative of 62*o**4 + 2*o**h - 62*o**4 - 3*o wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204761891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -1\/3, 12194, -18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -26. What is the second biggest value in -1.7, w, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 divided by 256?\nAnswer: -353\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:12 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 + -11010100001111101?\nAnswer: -11010100010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 + 0 + 9*x - 2*x wrt x.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -293*f - 5069. Give b(-17).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5768512 minutes to milliseconds.\nAnswer: 34611.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -630*v + 619*v + 26202. What are the prime factors of v?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4885182 divided by -5\nAnswer: -4885182\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -96663*y**2 - 18*y. Let j(l) = 38665*l**2 + 7*l. Give -18*j(b) - 7*u(b).\nAnswer: -19329*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1004143042 (base 5) to base 7\nAnswer: 23120005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (225 + 202 - 16 + 720)*(-3 + 3 + 2*v**2) as l*v**2 + b*v + u and give l.\nAnswer: 2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4513?\nAnswer: 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16991 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 3.896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 p when four letters picked without replacement from ppvpf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 1\/259*7*205. Is 2\/5 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135574 (base 10) to base 6\nAnswer: -2523354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2*z - 3909, 0 = -p - 4*z + 4140 - 225. What are the prime factors of p?\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-3) + 23 + 1. Let x = w + -11. Suppose i - 5*i + 12 = 0. Solve -2*m + x = i*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 6. Let r = -6 + 10. List the prime factors of s(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + 1 + (-185)\/(-10))*2. Solve -s*f + 27 = -3*v - 17*f, -5*f = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 3*a**2 + 8. What is the units digit of l(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*q = 258, -2*w - 3*q + 4*q = -165. Calculate the highest common divisor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 79. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382079?\nAnswer: 41, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 11. Suppose j - 82 + i = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*w**4\/5 - 13*w**3\/5 + 6*w**2\/5.\nAnswer: -w**2*(w + 1)*(19*w - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24556 - 3?\nAnswer: -24561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 3*i**2 - 6*i**2 - 19*i + 7*i**2 - 2. Suppose 2*n - 8*s + 7*s - 26 = 0, -68 = -4*n - 2*s. Does 15 divide p(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 36802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287 - 139. Calculate the remainder when 182 is divided by d\/(-6)*1*180\/(-120).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*-3 - sqrt(17)) + 4.\nAnswer: -4*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szxrsca. Give prob of sequence cx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156 - -294. Let q = d + -134. Calculate the least common multiple of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(686\/9261*(-54)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 5284*o + 1520208.\nAnswer: -4*(o - 1564)*(o + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*l - 299 + 642 + 1889. Solve -l*d = -167*d - 38 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*f - 15580 = 65358. What is the greatest common factor of 1936 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -429 - -4214. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from jjjnjbjjbnjjjnjnu?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 122 and 48.4.\nAnswer: 170.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053) + 1 - sqrt(1053)) + 1)*5)**2 - 2*sqrt(208)*1.\nAnswer: -8*sqrt(13) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 435\/119, 1, 0.3, -8?\nAnswer: 435\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -4431, 3\/2, 1.977?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-16506870)\/51 - (-14)\/(-119). Suppose -2*u + t = 132865. What is u rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9)*t**(-2\/15))\/(t*t**(-5\/9))**(1\/8))**(-30\/13) assuming t is positive.\nAnswer: t**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 8:27 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/3 - 9*t**2\/2 + t. Let z be l(6). Solve d + z*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/36 = 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 2, -9, 9, -20 in ascending order.\nAnswer: -20, -9, 2, 9, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/132 and -57\/5698.\nAnswer: 34188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529408 is divided by 764645.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263 + 2*s**3 + 1660 + 724 + 53 - 2*s**2.\nAnswer: 2*s**3 - 2*s**2 + 2174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, 2210\/11, 2\/7, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + m**2 + m - 217. Let u be c(0). Let n = u + 469. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4 = -2*a, 4*c = -2*a + 6*c + 2. Let l be a\/9 + (-16)\/3. Let d = 4 - 4. Put 3, d, l in descending order.\nAnswer: 3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7918\/(-4662) + 28\/18.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3019*s + 686. Let b(g) = 755*g + 170. Let t(a) = 9*b(a) - 2*o(a). Differentiate t(n) wrt n.\nAnswer: 757","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227594439.\nAnswer: 3, 563, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6079 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnnnaavnaanaa. What is prob of picking 3 a?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -47 + -97 + 176\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -210 + -463. Let v = -22211\/33 - f. Calculate the common denominator of 19\/15 and v.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 11*p**2 - 43*p + 18. Let q be i(14). Suppose 0*g = -q*g - 3*d + 1662, -g = -d - 412. Suppose -9*h + g + 675 = 0. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126.8 - -123.2. Which is the third smallest value? (a) -1.5 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*o + 169*o - 105*o = -1116 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(90)*4 + sqrt(10)) - ((sqrt(140)\/sqrt(4))\/sqrt(7)*3)**2.\nAnswer: -45 + sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 54 and 0.3.\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Let t(g) = -g**3 + 9*g**2 - 7*g - 8. Let j be t(8). Solve -f = -j*f + h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 608?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 6. Suppose -5*g + 15 = -3*s + 5, -4*s - 4*g = -40. Suppose 9*p = s*p. Calculate v(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -159*h**3 - 4*h**2 + 1278*h - 5. Let j(v) = -238*v**3 - 6*v**2 + 1918*v - 8. Let z(f) = 8*g(f) - 5*j(f). What is the second derivative of z(w) wrt w?\nAnswer: -492*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**4\/12 + c**3\/6 - c**2\/2 - c. Let o = -95 - -99. Suppose 22 - 30 = o*l. Let y(r) = -r + 1. Determine l*s(p) - 2*y(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, -1\/5, -16?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2. Let m(y) = -2*y - 3*y - 4*y + 32 + 4*y. Determine m(i(o)).\nAnswer: 5*o**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*t = -546, -3*t = -3*i + i + 365. Let j = -96 + i. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -115084?\nAnswer: 115083.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*i + 7*i - 62016. Calculate the smallest common multiple of i and 64.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*29)\/((-522)\/1276*110\/(-15)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -30455*r + 30457*r + 79 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 855*t**2 - 3418*t**2 + 851*t**2 + 856*t**2 + 846*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - (0 + -7 - -14) - 0. Solve 0 = c*a - 13 + 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y + 4. Let n(a) = -2*a + 1. Let w(b) = -f(b) + 4*n(b). Let c(s) = s - 6. Give w(c(j)).\nAnswer: -2*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -3650?\nAnswer: 3647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -2, -18 in descending order.\nAnswer: 5, 2, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 1:33 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 47 = -6*u + 2*u, 8 = -2*u. Calculate the remainder when 20\/(3\/(-1 - -16)) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h + 1. Determine y(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 111*i + 6 + 345*i - 66*i - 5 to t + m*i and give m.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5936952, 5936953, 5936954, 5936955?\nAnswer: 5936956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1940, 3295, 4662, 6047, 7456, 8895, 10370?\n\"Answer: a**3 + 1348*a + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Let r = 1.02 - 1. Let i = 1.98 + r. Sort 0.1, v, i.\nAnswer: 0.1, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04161 rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 47827 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-342)\/133*63\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1603219 divided by 1.\nAnswer: -1603219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153348133.\nAnswer: 7, 23, 146197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251.0000455 - 251. What is t rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.905032ml to litres.\nAnswer: 0.007905032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 9816515*v**2 - 9816520*v.\nAnswer: 5*v*(v - 1963304)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -36 (c) -0.5 (d) -7 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1771, 3620, 5543, 7546, 9635, 11816, 14095, 16478?\nAnswer: 18971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287 + -673. Let u = -1928\/5 - n. Which is the nearest to u? (a) -18 (b) -1\/6 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + u**2)*(-50*u - 2*u**3 + 9 + 50*u).\nAnswer: -2*u**5 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*(-1)\/9)\/(5 - 54\/12). Let d = 0 - 0. Are d and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 2 - 83)*(3*m - 2*m + m + (3 + 1 - 5)*(0*m - 2*m + 0*m)).\nAnswer: -224*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -108 - -246. Suppose 0 = 2*p + 12 - j. Let k(v) = -120 + p + 58. Let s(z) = 2*z**3 - 6. What is 6*k(c) + s(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3412*z**2 - 326 - 503 + 829.\nAnswer: -3412*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.017.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 60433248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129252019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1866, 3381, 4906, 6447, 8010, 9601, 11226?\nAnswer: 12891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = n + 5 - 1, 2*n = 4*f + 16. Put 4, f, 1, -1 in descending order.\nAnswer: 4, 1, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (1 - (-4 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/33 + 7\/(1078\/(-434)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 12975006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**3 - 5*g**3 + 7392*g**2 - 7426*g**2)*(-4*g + g - 2*g) as v*g**2 + m + a*g**4 + h*g**3 + t*g and give h.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4235240 divided by 18740?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j = -69430 + 184820. What is the lowest common multiple of 12 and j?\nAnswer: 12588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2312 - 4?\nAnswer: 2307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -43*p - 4374. Give u(-106).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 4 (c) -1 (d) -8 (e) -14\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13938549 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411161773?\nAnswer: 11, 31, 1205753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h + 2*h - 9 + 0*h + h**2 - 6*h. Let c be y(2). Suppose a = 3*a + 2*x - 14, 0 = a + 5*x + c. Calculate the smallest common multiple of a and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 542*n + 10200. Determine x(-13).\nAnswer: 3154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*x + 2410 + 1876 = 443 - 1701 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15796687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645228 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2708*c*m**3 - 143931065*c - 1512*m**3 wrt m.\nAnswer: -8124*c*m**2 - 4536*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 146 = -2*q, -5*q + 9*q = -3*b + 287. What is the remainder when q is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380711 + 5.\nAnswer: -380706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 7*r**2 - 30*r + 60. What is z(4)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 + i. Let b(g) = 19*g**2 + 2*g + 9. Let c(n) = -b(n) + 4*o(n). What is c(6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 5:55 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbyby.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**2\/7 - 191502*z\/7 + 191508\/7 = 0.\nAnswer: -31918, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.082 and -1043.\nAnswer: -1043.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n*p**3 + 4*n*p**2 + 1239*n*p - 78*p**3 + 1853*p**2 - p wrt n?\nAnswer: -3*p**3 + 4*p**2 + 1239*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.5 + -1.6. What is the closest to y in 0, 3, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(425) + (sqrt(425) + 1)*-5 + sqrt(425) + (sqrt(425) + 0 + sqrt(425))*-5 + 4.\nAnswer: -65*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w - f - 73, 4*w + 121 = 3*f. Let n = -12 - w. Suppose -2*y = -n - 24. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 - 30*r + 51. Let d be n(2). Calculate the highest common divisor of d and 4094.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eettettetttetttt?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(2\/(-4))\/(-1). Let k = -7 + 14. Let s = -6.6 + k. What is the nearest to 1 in s, 5, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*a = 3, -o - 3*a = -5*o + 10. Let u be -5 + (1\/(-2) - -1)*14. Suppose 5*k - 5 = -4*l + 4*k, -l + u*k = 1. Solve o = -2*d - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 62*h - 32*h = 59*h. Let x(t) be the first derivative of h*t - 6 + 4*t**5 + 0*t**4 + 0*t**3 + 13\/2*t**2. Find the second derivative of x(g) wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21751.\nAnswer: 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -cf?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -418 - -485.3. Let b = -52.3 + d. Put 5, 3, 1\/6, b in decreasing order.\nAnswer: b, 5, 3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 4 + 3 + 3*s - 2. Let r be l(3). Put r, -4, -1\/3 in decreasing order.\nAnswer: r, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zztttzzttttzt. Give prob of sequence zz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 260, 357, 454, 551, 648?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 134925705 and 3105.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/(-140))\/(-2))\/(1\/(-5))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.128 take away -0.1?\nAnswer: -19.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2366 or -2103?\nAnswer: -2103","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-8)*w\/((w*w**12)\/w)*(w**(-2)*w)**(-22) assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -5*b + 27, 4*b - 3 - 5 = f. Suppose -a - b = -2*a. Sort a, 5, 4 in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 8\/7, 2?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7173, -11129, -15227, -19461, -23825?\nAnswer: -28313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 1*-1)\/(((-4151)\/(-83020))\/((-9)\/20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384989449866 minus 0?\nAnswer: 384989449866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)*(z*z**(-1\/6))\/z)\/(z**(-1\/6)*(z*(z**(-4)*z)\/z*z)\/z*z) assuming z is positive.\nAnswer: z**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 64?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*g = -561*g + 30 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/12)\/(0 - (-2)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*t**3 + 3158*f**2*t - 5*f*t**2 + 4454*t**3 wrt t.\nAnswer: -6*f**2 + 26724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6258*j**3 + 29*j**2 - 72 wrt j?\nAnswer: 37548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -75324, -4 in ascending order.\nAnswer: -75324, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39081b (base 13) to base 8.\nAnswer: -5170220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(12\/(-48))\/((-1)\/436) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3 + 9. Suppose g*z + 54 = 3*l - 92, 4*l - z - 188 = 0. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4773 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -870*f**4 - 562 + 583*f**4 - 560*f**4 - 548 - 851*f**4 with respect to f.\nAnswer: -6792*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/120 + x**5\/6 + x**4\/4 - 11*x**3\/6 + 2*x**2. Is a(-9) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60139 - 6.84?\nAnswer: -60145.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31203*g**2 - 8926*g - 3 wrt g.\nAnswer: 62406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8 = -x, 0*v = x - 4*v - 10. Factor 2*z**x + 0*z**2 - 4*z**2 + 3 - 5 - 5*z.\nAnswer: -(z + 2)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539 = 117*j - 106 + 854 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 - 10*l**3 + 308*l**2 + 3528*l = 0. Calculate l.\nAnswer: -14, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2104 (base 6) to base 15\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13636583*b - 2162. Let d be o(14). Round d to the nearest 1000000.\nAnswer: 191000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 i when four letters picked without replacement from {n: 4, i: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 35 - 45. What is the second derivative of 2*t**2 + 8*t**g - 15*t + 4*t**2 - 25*t wrt t?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -670*n - 3*n**4 + 670*n + 7*n**2 wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 19994503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14124 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -15590674*v. Let z(f) = 4*f. Calculate r(z(w)).\nAnswer: -62362696*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 10*h - 11*h)*(0*h + h - 2*h) - 4 + 2*h**2 + 4 as m*h + s*h**2 + w and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 56*w - 72. List the prime factors of p(29).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2733522 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.417 + 28.417. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 2*n**2 - 2*n**2 + (0*n + 2*n + 0*n)*(3 - 2*n - 3) - 2*n**2 + 3*n**2 + n**2 + (-5*n + 2*n + 2*n)*(-20*n - 54*n + 12*n).\nAnswer: 58*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) 2\/235 (b) 2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78582 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((-1 - 14) + -19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 311 (base 4) to base 8.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 3, -3237, -9.\nAnswer: -3237, -9, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-4 + 5) - (-30)\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -2, 8, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*-5*(3*sqrt(1872) + sqrt(1872))*-4 + -5.\nAnswer: -5 + 19200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -20, -2*h = 2*v - 2378 - 14280. Suppose 12*r = 5211 + v. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, 3, -1\/3 in increasing order.\nAnswer: -2.6, -1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 383338 = -5*b, -4*k + 36 = 0. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - 8) + -244 + 259.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240164 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 12, 0, 3 in decreasing order.\nAnswer: 74, 12, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*h - 12 + 12 + (-2*h + 0 + 0)*(-8 + 1 - 13) + 8 - 8 - h.\nAnswer: 66*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5)*-3) - 5*(sqrt(5) + -1).\nAnswer: -16*sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:42 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*t + 4692*t + 2529*t to a + k*t and give k.\nAnswer: 7498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/44 and -75\/418?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) - 7\/(-4). Let w(i) = 82*i + 88*i - 11 - 153*i + 2. Calculate the remainder when 69 is divided by w(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33587 - 0.03587. Sort 0.1, -3, 3, o, 0.\nAnswer: -3, 0, 0.1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*i = 343*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 67 - (1 + 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 + 5 = 0. Suppose 2*a + 4 = s*a. Solve a*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.854169 - 0.154169. Let j = 0.01 - 2.01. What is the closest to j in -4, 2\/5, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 71.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9486 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 7 - 15 - 4*r**2 + 39 + r in the form m + u*r + h*r**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/((-2)\/6). Suppose 0 = -z - 0*z + 6. Let c(p) = -p**2 - p + 1. Let d(l) = -l**3 + 3*l**2 + 3*l - 6. Let q(x) = z*c(x) + d(x). What is q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9877*k. Let b(s) = -420*s**2 + 17. Give b(d(v)).\nAnswer: -40973154180*v**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 84. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4610*t - 122170 + 53700 = 5962*t + 195830 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.4585415 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106431385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 + 7)\/(-2 - -6). Suppose f*i - 7*i - 14 = 0. Put -7, 2, i in descending order.\nAnswer: 2, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j + 5. Suppose -3*i + 13 + 5 = 0. What is the tens digit of q(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l + 0*l**4 - 1\/30*l**5 - 1 + 75*l**2 + 0*l**3. Let c(u) = -152*u**2. Calculate c(s(f)).\nAnswer: -608*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014258128 rounded to four decimal places?\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.98 + 0.02. Let v = f + -4.1. Which is bigger: -1\/6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/8*63\/(-63).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/15190 and 23\/2.\nAnswer: 15190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5827008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -37.9. Let g = -0.1 - y. Let k be -8 + 10 + 34\/(-14). What is the biggest value in 0, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -511, -411, -149, 359, 1197?\n\"Answer: 14*x**3 - 3*x**2 + 11*x - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 7*b + 2 + 3 - 3*b**2. Suppose 4*u + 1 = -3*k + 48, -4*k + 4 = 0. Let p = u + -7. What is w(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525545198 to the nearest integer?\nAnswer: 22925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54594 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.08 and -4.1.\nAnswer: -5.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*m + 663 = 68 - 440 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13854801, -27709570, -41564339, -55419108?\nAnswer: -69273877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/60 - 13*w**4\/24 - 7*w**3\/2 - 3*w**2. Suppose -4*f = -8, -n + 17 = -0*n - f. List the prime factors of k(n).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:27 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23997*n - 8 = 4*c - 23998*n, 3*n + 24 = -4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/3 or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 + 10 - 2*w - w**4 - 8 + 17*w**3 - 6*w**2 in the form o*w + m*w**4 + z*w**2 + s + v*w**3 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 3:38 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -2*u - 4*z, -969 = 2*u + z - 957 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: In base 2, what is 101010111100100111011 + 101?\nAnswer: 101010111100101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -159, 10 in increasing order.\nAnswer: -159, -137, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -5, 83, 197?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 10) in base 3?\nAnswer: -102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 23, 0.4, -72, 1, -246?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from {a: 3, q: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12613, 14051, 15491, 16933, 18377?\n\"Answer: y**2 + 1435*y + 11177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2. Let o(f) = 30*f - 69. Give o(n(a)).\nAnswer: -60*a**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3777518?\nAnswer: 2, 1888759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1764 and 84?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -112.1 - -112. Which is the closest to h? (a) -0.2 (b) 1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 12, b - 29 = 4*r - 8*r. Solve 0 = 5*j + 38 - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469.11 + -468.6. What is the third biggest value in g, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 629895003\/32 + -19679678. Let t = c + -4542. What is the common denominator of t and -25\/12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-58)\/319 - 3436\/(-22). Find the second derivative of 4 + 5 + j*q**2 - q - 188*q**2 wrt q.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/21)\/(9\/90*-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 593029324.2 and 0.5.\nAnswer: 593029324.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 917 + -917.2. What is the third biggest value in g, 89, -1\/4, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 4:20 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61743\/6776 - 9) + -30 + 1434\/48.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 22151 = -k - 22118, 9*k - q - 59 = 3*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d**3 - 10*d**2 - 14*d. Let u(h) = -5*h**3 - 3*h**2 - 5*h. Let t(z) = -3*c(z) + 10*u(z). Find the second derivative of t(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + h = 31, 3398*o - 2*h = 3398*o + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-197 - (-17000)\/136)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u - 44*u - 16*u)*(5*u + 3*u + u + 6*u) as w*u + o*u**2 + l and give o.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.24324 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.3523309 rounded to three decimal places?\nAnswer: -21.352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22500 - 890*r**3 + 33498*r + 33546*r - 8922*r**2 - 32176*r**2 - 10194*r + 8852*r**2 - 6*r**4 = 0. Calculate r.\nAnswer: -75, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (9 - 42) - (-17 - 2) - 62\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -94, 1, -1, 3945 in descending order.\nAnswer: 3945, 1, 0, -1, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1062 + 1096. Suppose 278 - 842 = -4*y. Let m = -75 + y. Calculate the remainder when m is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44.39428 + 43.636. What is f rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8723.38 millennia to years.\nAnswer: 8723380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1300\/(-208))\/((-26)\/(-104))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 3*j**2 - 5*j**2 + (-2*j + 4*j + 6*j)*(-593*j + 139*j - 1217*j).\nAnswer: -13367*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881657.7 centuries to millennia.\nAnswer: 88165.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0)**6*(g\/(g\/(g*g*g\/(g**4*g))))\/g*g\/((g\/(g\/(((g**(3\/8)\/g)\/g)\/g)))\/g))\/(g**(2\/3)\/(g**(-3\/8)*g))**(-1\/84) assuming g is positive.\nAnswer: g**(15373\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**4 - 1383*l**3 - 23844*l**2 + 15065253*l - 67187232 = 0 for l.\nAnswer: -96, 9\/2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 3 - 9)*(1 - 1 + 2*m)*(-m - m - m + 2*m + 2*m - 2*m + (-4 + 4 - 2)*(4*m - 4*m - m)).\nAnswer: -86*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 - 2*v**2 + v - 5. Let c(p) = 6*p**3 + 2*p**2 - p + 6. Let d(f) = -4*c(f) - 5*q(f). Determine d(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 2*z**2 + 8*z - 2. Let s = 8 + -5. Let g(q) = 2*q**3 - 3*q**2 + 17*q - 3. Let v(t) = s*g(t) - 7*i(t). Let o = 12 + -8. What is v(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b451 (base 12) to base 4.\nAnswer: -10302331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 204*d**2 + 2087*d + 6952. Determine a(193).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((1 + sqrt(325))*2 + 1*(sqrt(325) + (sqrt(325) - 3*sqrt(325))) + sqrt(325) + -2*-5*(0 + sqrt(325)) + -5))**2.\nAnswer: -3240*sqrt(13) + 421281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 7*i - u = 34, 0 = 5*i - u + 38. Let t = -30 + 30. Put t, i, 5 in increasing order.\nAnswer: i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -9. Suppose -h = k - 12. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -704926173*a**2 - 778421498.\nAnswer: -1409852346*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmz. What is prob of sequence mzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)*(-8)\/(-52)*(-5)\/10?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10270 or 10295?\nAnswer: 10295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*o**3 + 1007*o**3 - 502*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14336843?\nAnswer: 23, 623341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129696 divided by 32.\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.992 + -0.008. Let r = 6.70226571 - -9.29773513. Let i = r + t. What is i rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*g - 5*b - 208, 23*g - 4*b - 18 + 0 = 22*g + 32 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 + 620*u - 3712. What is j(-109)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -6352.4\nAnswer: -19057.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -8*q**7\/7 - 2*q**6\/3 - 2*q**3\/3 - 14*q**2 + 43. What is the third derivative of y(t) wrt t?\nAnswer: -960*t**3 - 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20824935*y + 14706569 wrt y.\nAnswer: -20824935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0899 rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 + 55 = 8*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 434505070 rounded to the nearest one hundred thousand?\nAnswer: 434500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 33. Suppose -u + 8 = 3*w, -4*u + h = -w - 19. Calculate the smallest common multiple of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -889.1 and -0.2?\nAnswer: 177.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 5 = -m. Let z = m - 10. List the prime factors of 27*z\/(-11 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 - j - j**2 + 7*j**2 - 2*j**3 - j**3. Let w = 8 - 4. Suppose w*x = -5*s - 24, -3*x - 6 = 4*s + 13. Determine o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914207 (base 11) to base 13.\nAnswer: 3c5c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1 - 2 - m**3 - 4 + 10*m + 5*m**2 + m**2. Does 8 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -236\/7 (b) 0.5 (c) -0.3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19936241, -19936235, -19936217, -19936181, -19936121?\nAnswer: -19936031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 575, 1978, 4323, 7610, 11839, 17010, 23123?\n\"Answer: 471*i**2 - 10*i + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6570180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -13, -4, -2, 0 in descending order.\nAnswer: 0, -2, -4, -13, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -986396, -1972812, -2959228, -3945644, -4932060, -5918476?\n\"Answer: -986416*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -20. Let q be 6*(2 - x\/(-9)). Suppose -q*j - 33 = 5*s, -2*s - 15 = 2*j - 1. Sort -3, s, 5 in increasing order.\nAnswer: s, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27128471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -2, -2\/7, -1\/194, 2\/45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/10*(234\/30 + -3). Let t = b - 517\/75. Calculate the common denominator of t and 10\/(-35)*(-1666)\/(-105).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -1587\nAnswer: -86\/1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**5 + 16*o**3 + 8*o**2 - 12*o - 8.\nAnswer: -4*(o - 2)*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 7\/20, -0.2, 2\/9, 4?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h = 63*h - 1050. Solve 0 = -y - 13*y - h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -8. Let w be k\/(-2)*(0 - 0). Solve -3*x - 3*j - 3 = -w*j, -4 = x + 2*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*s**2 - 4 + (105*s**2 + 83*s**2 - 143*s**2)*(4 + 2 - 5).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d**2 + 21*d + 14. Let y(z) be the first derivative of z**3\/3 - z**2\/2 - z + 13. Let p(r) = -w(r) - 6*y(r). What is the tens digit of p(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 56 = -0*a. Let b be -1 - 1 - (3 - 41). Let i = b + a. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299.51069 + 299.66068991. Let l = n + -0.15. Round l to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12 - 106*(-11)\/132\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1420 divided by -734\nAnswer: 710\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 6032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -43709000 to the nearest one hundred thousand.\nAnswer: -43700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405943379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6238\/49 - 384593\/294. Are b and -1182 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/7))\/w**(-9)*w**(-1\/6)*w*w**(-1\/6))**42 assuming w is positive.\nAnswer: w**454","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 328247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 24421, 2\/7, 8, -3 in increasing order.\nAnswer: -3, 2\/7, 8, 24421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543 + 87. Let r = w - -452. Let b = 0.3 + -0.2. Sort r, -4\/11, b in ascending order.\nAnswer: r, -4\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1350, -5403, -12162, -21627, -33798, -48675?\n\"Answer: -1353*a**2 + 6*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 116.3\nAnswer: -814.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-98)\/(-42) + -3)*669\/(-2) is divided by 67?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + 5*c**3 - c**4 + 2*c)*(51 + 5 + 34)*(4 + 3 - 3).\nAnswer: -360*c**4 + 720*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5785\/(-165) - (-987 - -952)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23034 (base 6) in base 10?\nAnswer: -3262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3480\/13*b + 378450\/13*b**2 + 8\/13.\nAnswer: 2*(435*b - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, r: 7}. What is prob of picking 3 r and 1 h?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-6)\/u*u**(-2\/3)*u**(-2)*u**1)\/(u*u\/(u**(-6)*u*u)*u*u*u**(1\/4)*(u\/(u*u**0*u))\/u**(1\/4)) assuming u is positive.\nAnswer: u**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 1. Suppose 1 = -3*x + 2*q + 4, 4*x - 2*q - 6 = 0. Suppose 0 = 2*y - x*y. Calculate h(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11778 is divided by 231?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -863, -2, -1, 1.\nAnswer: -863, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 163\/1 + (2 - 3). Let n = 645\/4 - i. What is the third biggest value in -1\/3, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, -359 in increasing order.\nAnswer: -359, -5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3888) - (sqrt(3888) - -1*sqrt(3888))) + -3*sqrt(108)\/sqrt(4))\/((sqrt(108)*1*-6 - sqrt(108))\/(sqrt(24)\/sqrt(2)*3))*-2.\nAnswer: -90*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.93 - -0.07. Let i = x + -16.9. Let s = i + 2.9. What is the nearest to -1 in -2\/3, s, -2\/15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-6) + 0)\/((-1)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11522)\/3850 + (-3)\/(-1). Let m = 1389\/1925 - l. Which is the nearest to 1? (a) 0 (b) -2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -767\nAnswer: 153.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 + 2. Let n be v(-3). Let r = -79\/2 + 37. Sort n, 0.5, r in ascending order.\nAnswer: r, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (343\/35 + -3)\/(969\/2295 + 4\/(-18))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/27 + -22\/27. Which is the closest to m? (a) 2\/19 (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10536929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(6\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16788525.\nAnswer: 3, 5, 13, 67, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1 - (-43 + 36)) + (-32 - -16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 62\/80 + (-27)\/72\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 455 times -4\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(242) + sqrt(242)*-3)**2.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 56, 6, 2.\nAnswer: -4, 0, 2, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:37 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7582, 30352, 68302, 121432, 189742, 273232?\nAnswer: 371902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 266 + -266.42. Let i = o - 0.08. Which is the nearest to -1\/8? (a) -6 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42220 and 912260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92584595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kuuskueguuckg. Give prob of picking 1 c and 1 k.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/5 - 17*m**2\/5 = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 1. Let z be n(4). Suppose -z*i = -2*w + 104, -7*w + 277 = -2*w + i. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -29*z + 1. Give g(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2004 and 2004 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7058*s = -m - 7056*s - 24, -4*m - 124 = -15*s for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 2*i. Let g be z(1). Let o be (g + (-464)\/3)\/((-18)\/540). What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 9, y: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(2\/11)*c))\/c**(-2))\/(c\/c**(2\/17))**(-27) assuming c is positive.\nAnswer: c**(4795\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 1\/4, -0.6, -5 in descending order.\nAnswer: 1, 1\/4, -0.6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-40))\/((-2)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2986, 3214, 3454, 3712, 3994?\n\"Answer: f**3 + 221*f + 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225312464*a**2 + 115009829*a.\nAnswer: -450624928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + -3.93. Let f = 10 + n. Is 0 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249\/4 - 243\/4*l**2 + 3\/4*l**3 - 495\/4*l = 0. What is l?\nAnswer: -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 21625 = -3*q + m, q - 5415 = -m. Is q a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/11 (b) -5 (c) 1\/2 (d) -1\/2 (e) -40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**3\/3 - 1. Let g(v) = 2*v - 2 + 2. Determine z(g(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 1. Let v(l) = 17*l + 2. Let z(p) = -2*u(p) - v(p). Let w(n) = 11*n - 2*n + 2 - 2 - 8*n. Determine w(z(k)).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -2. Which is the biggest value? (a) -3 (b) 0.05 (c) x (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 at most as big as 667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(sqrt(80)\/sqrt(4) - sqrt(20) - sqrt(20)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -88654b?\nAnswer: 886549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 q when three letters picked without replacement from rqqrrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.96864105 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 456772717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbb when three letters picked without replacement from dbbdn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21144 and 2280?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 4, 3 in ascending order.\nAnswer: -7, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -876 = -11*r - 326. What is the remainder when 88 is divided by r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8615 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 47*g + 75. Let w be v(25). Determine y so that w + 4\/9*y**5 + 0*y + 0*y**4 + 8\/9*y**2 - 4\/3*y**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2126198, 2126223, 2126248, 2126273?\nAnswer: 2126298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21148.93 and 8945.\nAnswer: -12203.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -1.5218.\nAnswer: 6.4782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 20 + 6 - 29 - h + 1 + 3*h**2 + 1 - h**2 + (-12*h - 14*h + 9*h)*(3*h - 3*h - 2*h) + (h + 1 - 1)*(2*h - 5*h + h).\nAnswer: 35*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -5 - 6 - (0 - (-9 + -15))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 2*k**2 + k. Let u(a) = -a**2 - 8*a - 9. Let h be u(-6). Let v(o) = -3*o + 2*o**2 + h*o. Calculate v(s(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 15 = -12*n. Put -5, n, 3\/8 in descending order.\nAnswer: n, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10*d = 6*d + 204, 4*d - 116 = -3*b. Let g(l) = -l**2 - 31*l + 28. What is the remainder when g(-13) is divided by b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/3 (b) 1\/946 (c) 1 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37300 - 80109 - 50803 = 301*b - 1377*b for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2948, -11591, -25934, -45977, -71720, -103163, -140306?\nAnswer: -183149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f. Let p(w) = -6*w**2 - 19. What is g(p(o))?\nAnswer: -48*o**2 - 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (0 - 0 - (5 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 33 - (20 - (-1 - (-22 - -12)) - -1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122 - 87. Let i = -35 + g. Put -2, i, -0.4, 13 in ascending order.\nAnswer: -2, -0.4, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3409 - -4806. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425 is divided by 154?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431088494.\nAnswer: 2, 3, 11, 89, 243631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2468*g - 3460 - 20691 - 15337 = 0 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + 4 - (-8 - 132). Suppose 0 = 2*s - 5*g - 137, 2*s + 0*g + g = n. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 32141.9, 31 in increasing order.\nAnswer: 0.02, 31, 32141.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t - 5. Let q(u) = 5*u - 4. Let z(d) = -4*n(d) + 5*q(d). Let w(j) = 5*j**2. Calculate w(z(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from wdmlilj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*l**3*y**3 + 6*l**3*y + 13186*l**2*y**2 + 40249*l*y**4 wrt y.\nAnswer: -42*l**3 + 965976*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgkqvregk. What is prob of sequence evqv?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g*p**2 + 3*g*p*w**3 - 2*g + 12*p**2*w - 7*w**3 wrt g.\nAnswer: -4*p**2 + 3*p*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*u + 17, 35*t - 33*t - 25 = -u for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27449167?\nAnswer: 19, 29, 31, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1\/6, -0.17, -0.15, -21?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 6:25 AM?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 + -209. Let v = m - -194. What are the prime factors of v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. What is the nearest to q in -0.5, -0.3, 2\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 35 - 47 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -197, -326, -469, -626?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2738*l. Let o(d) = -50*d - 2. Determine o(s(a)).\nAnswer: -136900*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, -10, -400, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 3*p + 97. Is 45 a factor of s(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71\/36 + -20\/9. Let u = 522 + -521.5. Sort p, -5, 2, u in descending order.\nAnswer: 2, u, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 890 = 436. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/7, -4, -0.4, 1\/8, -29 in increasing order.\nAnswer: -29, -4, -0.4, -1\/7, 0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 666 and 176404086.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-3 - -10) + -12 + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxgogvxxxxxgxxxg. What is prob of sequence gxvx?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 3*16\/(-12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(42)\/(sqrt(42)\/(sqrt(7)*4)))**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -879*h**2 - 29 + 29 + 889*h**2.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -793 + 1430. What is the remainder when p is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 12*g**2 - 18*g - 25. Let v be o(-13). Let t = 1879 + -1079. Calculate the greatest common divisor of v and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 154 and 1094685179680?\nAnswer: 1094685179526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122122100 + 20200?\nAnswer: -1122101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799.\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 23. Suppose 0 = -j*h + 4 - 2. Sort 3, -4, h in descending order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let p = s - 6. Let d = -34 + 36. Sort -0.2, d, p in descending order.\nAnswer: d, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 + 28*z**2 + 9*z = 0. Calculate z.\nAnswer: -9, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 682605 and 251175.\nAnswer: 58021425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5129.076 weeks in nanoseconds?\nAnswer: 3102065164800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d - 1. Let r(k) = -3*k**3 - 2*k**2 + 3. Let x = 10298 + -10297. Give x*r(p) + b(p).\nAnswer: -2*p**3 - 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2 - 3) + (11 - 1 - 18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -841945\/18 + 379712723\/8118. Let g be (-12)\/(-369)*(-2)\/(-12). Let s = i + g. Do s and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3152*o = 1600*o + 1633*o - 1863 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -5*r. Let q = -2 + r. Let n = q - -3. Solve -c + 1 - n = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6275614933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.65 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 - 94. Calculate the highest common factor of 600 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -340141, -1360533, -3061179, -5442073, -8503209, -12244581, -16666183, -21768009?\nAnswer: -27550053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1225\/2 - 614. What is the common denominator of -44\/37 and b?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 22*c**2 - 12*c - 1. Let b(s) = 7*s**2 - 4. Let f be b(-2). Is z(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 55*o**2 - 103*o - 96. Is k(-53) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32610 by -6522.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*g - 327*g - 138 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38608 = -17*i + 5*c - 38452, 24 = 2*i - 2*c for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 11) in base 3?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29372 and -749772.\nAnswer: -720400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3099, -3123, -3147, -3171, -3195, -3219?\n\"Answer: -24*i - 3075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -2809*s**6\/36 + 2279*s**5\/45 + 101*s**4\/9 + 8*s**3\/9 + 16*s**2 + 2. Factor p(m).\nAnswer: -2*(5*m - 2)*(53*m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533984000 a multiple of 4100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 14*l. Let i(q) = -5*q. Let f(z) = -11*i(z) - 4*y(z). Let w(c) be the third derivative of c**4\/8 + 8*c**2 + c. Give f(w(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 (base 9) in base 3?\nAnswer: 111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20339249.\nAnswer: 7, 2905607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 a when three letters picked without replacement from awlaw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321203567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 114 = -26*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1302*v - 40498. What is o(31)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5893.21 micrometers?\nAnswer: 5.89321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*x = 1791*x - 520*x + 3304*x - 518994 for x.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 14. Let w be m(10). Let v = 1.15 + -0.15. Sort w, -2\/11, v in ascending order.\nAnswer: -2\/11, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6743617 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(77) - (sqrt(77) + (sqrt(77)*-2*-5 - sqrt(77)))) + sqrt(77) - sqrt(77))*-1)\/(sqrt(1100)*-1*-5).\nAnswer: -27*sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1584979838 rounded to 3 dps?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**8\/672 - h**7\/105 - h**6\/80 + 3*h**5\/20 - 982*h**2. Determine l so that v(l) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -267*w**2 + 3689*w + 653. Give b(14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 15429665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2194 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48445*h**2 + 43712*h**2 - 92161*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b - 3*b - 4*b + (-1 - 2 + 5)*(2*b - 1 + 1))*(-2*b - 2 + 2) - 1 + 2*b**2 + 1 to y + r*b + z*b**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(sqrt(80) - ((sqrt(80) - (sqrt(80) + -2 + sqrt(80))) + 5))*-3)**2.\nAnswer: -26400*sqrt(5) + 84100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - 24.6. Let k = i + 28. Let s = -57\/80 + 5\/16. Which is the nearest to 1\/9? (a) s (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6186)\/50)\/(6\/15 + 0). Let j = -1528\/5 - q. What is the common denominator of j and 115\/(-14) - 6\/21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5453*v - 10897*v - 727*v**3 + 5446*v in the form m*v + r*v**3 + i + n*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-261)\/(-66) + -4)\/((-2)\/24)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 95 - 316 = -i, -i + 2*s = -414. Put i, -1, 5, 0 in ascending order.\nAnswer: -1, 0, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:50 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (49\/9 + -5)*(-29 + 38). Factor -36*f**2 - 96*f - 72 + 3\/2*f**k + 0*f**3.\nAnswer: 3*(f - 6)*(f + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(4\/10) + 2\/4. Suppose w*o - 5*o + 5*k = -29, -11 = 2*o + 3*k. Let d(z) = -z**3 + 3*z**2 + 76*z - 1 - 6*z**2 - 75*z + z**2. What is d(o)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a factor of 1519344542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*i - 2*b + 1, 3*i - 8 = 2*b. Solve i = o + 2*o - 2*h + 2, 6 = -5*o + 2*h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - 3.5. Let u be -5 + 1 + 45\/12. Let r be (1\/(-6))\/(1 - 0). What is the nearest to 3\/4 in g, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 103 + 32. Let u = -35 + 23. Let g = u + p. What is the remainder when 43 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0 - (1 - (0 + -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 5*b**3 - b**3 + 7*b**3 - 7 - 9*b**2. Calculate the remainder when 32 is divided by m(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -29, -20, -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2368 + -7100\/3. What is the smallest value in -25, -0.008, z?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*s = -16, 5*x - 16*s = -20*s + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/d*d\/(d*d\/d**(-5))*d**5\/d*d**(-2) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 5*h**2 + h + 7. Suppose 4*g - g - 35 = -5*c, 3*c - 27 = -3*g. Suppose 0 = c*u + 4 - 24. List the prime factors of v(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/2 - (13 + -1)\/(-3). Suppose 5*p + 5 = m*p. Let f = p - -448. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7912 divided by 4?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2221 + 12?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11183*u**4 + 664*u**2 + 20*u - 4?\nAnswer: -268392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12)*-1*224\/14?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -168 - -158. Let v(i) = 13 - i**3 + 6*i + 6*i + 0*i**3 - 8*i**2. Does 31 divide v(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpmmppppgsmppmwpp. What is prob of sequence wps?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b**2 - 23 + 23)*(2*b**2 + 2*b**2 - b**2) + (2*b**2 + b**2 - b**2)*(3*b**2 - 5 + 5).\nAnswer: 27*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(0 + 0 - 2)*(-2*s**5 - 5*s**5 - 5*s**5).\nAnswer: -48*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49\/7 - 12 - (-825)\/156. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -153, -627, -1417, -2523, -3945?\n\"Answer: -158*q**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 2*v - v)*(1 + 3 - 5) + 9*v + 13 - 13 to the form j*v + u and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212110 - -112?\nAnswer: 11212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -223088 + -151.52361\nAnswer: -223239.52361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 5920447?\nAnswer: 106568046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/11 + 4364*y**3\/11 + 13074*y**2\/11 = 0. What is y?\nAnswer: -2179, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(1\/(-2)). Let x = -1 - a. Let u(h) be the first derivative of h**3\/3 + 9*h**2\/2 + 4*h - 1. Give u(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 21. Which is the closest to f? (a) -1 (b) 4\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -25. Let i = j + 11. Suppose -2*r + t - 2*t + 14 = 0, 2*r - 5*t = -10. Solve 0 = 2*m + i*w - 16, -w + 0*w = -r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1493027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/508367149?\nAnswer: -1\/508367149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 32 (b) -0.1 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1083\/207 + 3150\/7245.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 2*i**3 - i**4)*(-4 + 0 + 2) + 7*i**4 + 0*i**4 - 3*i**4 - 5*i**4 + i**4 - 3*i**4 + 33*i**4 + 2984 - 2984.\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63680)\/44576*14*3?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-3\/11)))**(-3\/34))**(-4\/23) assuming b is positive.\nAnswer: b**(-48\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**2 - 92*t**3 + 51*t**3 + 44*t**3 - 32 + 6 as c*t**3 + j*t + v*t**2 + h and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2634534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53243924 to the power of 1\/2, to the nearest integer?\nAnswer: 7297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*y**2)*(-y**2 + 2*y**2 - 2*y**2 + (-3*y - y + y)*(-y - 5*y + 4*y) - 3*y**2 + 2*y**2 - 6*y**2).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2085913873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*p*w - c**3*p + 22*c**3*v**2*w - 8*c**3*v*w + 2*c*p*v + c*v**2*w + 2*p*v**2*w + p wrt v?\nAnswer: 44*c**3*w + 2*c*w + 4*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(-16 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -540293 * 0.087.\nAnswer: -47005.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 34*p - 236. Determine b(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 38\/2357?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**5 + 10*t**3 + 79*t - 1.\nAnswer: -40*t**3 + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40289\/14008 - 2\/1751. Calculate the common denominator of p and (-5)\/(-4)*87\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2da (base 14) to base 2\nAnswer: -1001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 + (3 - 1). Suppose -7 = -5*v - 2*z + 11, 0 = 4*v - 5*z - 21. Solve 4*x = -w + 12, v*w - x + k = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5767 and 65408.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17138*n**2. Let k(o) = 31*o**2 + 15*o + 3. Let u(p) = -21*p**2 - 10*p - 2. Let a(v) = 2*k(v) + 3*u(v). Determine a(c(i)).\nAnswer: -293711044*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-25) - (-975)\/125?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 2127, 7928, 19231, 37872?\nAnswer: 65687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 10. Let x(t) = -t - 7. Let n be x(-12). Give z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 11:06 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -14.5\nAnswer: -7.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -13*a. Let t(f) be the second derivative of 10*f**3\/3 + 5*f**2\/2 + 101*f - 15. Calculate b(t(d)).\nAnswer: -260*d - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, k: 2, a: 1, u: 5, q: 5}. What is prob of sequence af?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40138*p**4 - p**3 - 899653*p**2.\nAnswer: -963312*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*j = -252655 + 245263 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 7*h - 32 - 8*h + 0*h**2 + 0*h. Let n be m(-12). Suppose 3*d - n = 5*u, -u = d - 3*u - 1. Let g(o) = -3*o + 4. Calculate g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = -3*i + 3*t, 0 = 3*i + 2*i + t - 673. Let g = -76 + i. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ksssssskkkkssssssks. What is prob of sequence skks?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3338, 6691, 10044?\n\"Answer: 3353*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {w: 11, x: 2}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2578384 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38.20514 and 17?\nAnswer: 55.20514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -245 + h**3 - 83*h + 245 + h**3 + h - h + (-2 - 1 + 4)*(-1 + 1 - 2*h**3) - h + h + 3*h**3.\nAnswer: 3*h**3 - 83*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 502, 1163, 2094, 3295, 4766?\nAnswer: 6507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18565 and 1975?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943*m**2 + 2*m**3 + 772*m**2 - 1705*m**2.\nAnswer: 2*m**3 + 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 4*n - 3*g, 19*n - 3*g + 44 - 30 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 210*n**2 - 3453*n + 7770.\nAnswer: -3*(n - 2)*(n + 35)*(n + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 31*m**7\/70 - m**6\/360 + m**5\/60 - m**4\/12 + 12*m**3 + 27. Let i(g) be the third derivative of a(g). Is i(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 + 367850*t + 2575048 = 0. What is t?\nAnswer: -7, 183932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/8)\/(2\/(-8)). Suppose 4*y - 240 = -b, 5*y = 4*b + 98 + 202. Let m be (290\/a)\/(2\/y). What is m rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-3*4 - (-10 + 5)). Let h(r) = -r**3 - 5*r**2 + 11*r + 6. What is h(j)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -5323*b**5\/20 - 1361*b**4\/12 - 1882*b - 1. What is the third derivative of a(v) wrt v?\nAnswer: -31938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 - 3*o**2 - 2*o - 3. Let v be y(-2). Let f = -19 - v. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1720 = -208. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65635 - 4.2.\nAnswer: -65639.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 51 + 11 = 30 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 852*d**3 + 6003*d**2 + 8590*d.\nAnswer: -d*(d - 859)*(d + 2)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*c - 5, -2*c - m = 3*m - 26. Let r = -60 - -175. What is the greatest common factor of r and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00046195609 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:14 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*z\/(z*z**22)*z*z)\/(z**(-2\/31)*z*z) assuming z is positive.\nAnswer: z**(-556\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3351.\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 5\/3*n**3 + 0 + 2*n + 1\/12*n**4 - n**2. Let a(q) be the first derivative of z(q). Differentiate a(d) with respect to d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 526 = 6. Suppose -2*v + 25 = 115. Let o = v + p. What is the remainder when o is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 31908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l - 919 = -1379. Let s(o) = -4*o**3 + 10*o**2 + 6*o + 5. Let a(z) = -6*z**3 + 15*z**2 + 9*z + 8. Let m(d) = -5*a(d) + 8*s(d). Calculate m(l).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3\/41, -0.77, 362.\nAnswer: -0.77, 3\/41, 1\/4, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 r when four letters picked without replacement from {t: 3, r: 11}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -798*w + 4. Let i(q) = -393*q + 2. Calculate 3*a(r) - 5*i(r).\nAnswer: -429*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 656764642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**2 + 331*d - 451. Determine f(-54).\nAnswer: 2087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2559*c**2 + 270 + 914*c**2 + 44*c - 47*c wrt c.\nAnswer: -3290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3859\/153 + 2\/(-9). Suppose -v + 163 = 5*d, -4*v + k = -0*d + d. Factor -4*f**3 + 3*f**3 + 75 + d*f**2 + 0*f**3 + 4*f**3 + 105*f.\nAnswer: 3*(f + 1)*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 3\/5, -29\/5, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 14 = 5*i, -i - 2*b - 1 = -6*b. Let q(p) = p**3 - 5*p**2 + 7. Calculate the remainder when q(5) is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625625 is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256497, -256485, -256463, -256431, -256389?\nAnswer: -256337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*6*((-2*sqrt(306))\/sqrt(6))\/sqrt(3)*-4.\nAnswer: -288*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 0. Let y(o) = -o**2 - 5*o + 3. Let l be y(g). Suppose -16 = -l*m + m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/12*69\/(-230).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2338 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, j: 1, g: 10}. What is prob of sequence gjgc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85692303?\nAnswer: 3, 29, 109441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 616.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 - 8 = -5*t. Let o be 0*(13\/15 - t\/(-135)). Solve 4*h + 16 = -o*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 + 2*d**3 - 3*d**3 + (3*d - 3*d - 6*d)*(48*d - 48*d - 46*d**2 + (1 - d - 1)*(-3 + d + 3)) in the form k*d**2 + n*d + j*d**3 + g and give j.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696699?\nAnswer: 3, 199, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = -39. Is -2 + (2 - 1) - r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2\/5 + 3084*a + 15424\/5 = 0 for a.\nAnswer: -1, 3856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 4*t)*(t - 5*t + 3*t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/12780 and 113\/27690?\nAnswer: 166140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -4)\/((-9)\/21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 83451676?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d = -12. Let p(l) = 3*l**2 - 8*l - 4. Let r be p(6). Let w = r + -34. Solve w = d*h + h - g, 0 = -3*h + 5*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3 - 4 - 109*v**2.\nAnswer: -109*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((((-889284)\/4590)\/11 - 336\/(-210)) + 16)?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5052107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - 28702?\nAnswer: -28726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.47 and 4.5?\nAnswer: 6.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/309947 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2487.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 132.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/51 and -28\/2397.\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3570130, 2\/17, 0?\nAnswer: -3570130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -8477?\nAnswer: 8476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 52*o**2 - 54*o**2 + 0*o + 0*o. Let u(a) = -7*a**2. Determine u(r(s)).\nAnswer: -28*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*y - 5 = 0. Let o be (1 - 1)\/(2\/y). Solve -4*g = -2*j - 10, -3*g - j - 4*j + 1 = o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a - -10?\nAnswer: 24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1631 + 6312 - 2*y + 10391.\nAnswer: -2*y + 18334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 2*n + 7*n - 5*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 176 - 528 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 2*z + 5*z + (6*z - 5*z - 2*z)*(2 + 1 - 2 + (1 - 2 + 0)*(-3 + 0 - 2)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63518 is divided by 397.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 20 = -4*y, 35*v - 34*v = -4*y - 14. Let h(p) = -35*p**2 + 3*p - 4. Determine h(v).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 - -2.89. What is the second biggest value in f, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 - 36*c + 22. Calculate l(-11).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 1399182.\nAnswer: -10\/699591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-7 + 5) + (0 - -26). Let w be ((-4)\/3)\/(d\/(-42)). Suppose 2*b - 166 = 2*y + 26, 0 = w*b - 3*y - 189. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10461781 and -41\/6657497.\nAnswer: 73232467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 3*q + 4. Let y be k(-7). Suppose 6*z - 2*z + 4*l = -684, -147 = z - 5*l. Let g = -234 - z. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103478.0438 rounded to the nearest one hundred?\nAnswer: -103500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - 0 - (3 - 2). Let h be ((-20)\/p)\/(2\/(-4)). Let b(f) = -1 + 6*f - 7*f - 3. Calculate b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*c - 8 + 2 = -112*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 66. Let r = 87 + -60. Let c be r - (-2 + -3 + 2). What is the highest common factor of c and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**3 - 2*h + 1. Let y be z(1). Suppose -y*o + 528 = 200. Calculate the least common multiple of 6 and o.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -q + 2*n - 1, 0 = -4*q + 5*n - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:06 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/301511 and -36\/1729.\nAnswer: 3919643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 4286?\nAnswer: 41\/4286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 2 = -p. Let f = -4 - -8. Suppose -4*w = 3*i - 6*i - 360, -f*w - i = -360. Calculate the remainder when w is divided by p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + k - 3964401 = 0, -10*m - 3964405 = -8*m - 5*k. Round m to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/10)\/(5\/(-30)*15*(-2)\/8)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put -306, 9, 7 in decreasing order.\nAnswer: 9, 7, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19f07 (base 16) to base 14\nAnswer: -2aa11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*-6*5)\/(sqrt(55)\/(sqrt(40)\/sqrt(8))*-1) + -1.\nAnswer: -1 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9241, -18481, -27721, -36961?\nAnswer: -46201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1411786 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 119*h - 23269. Give b(146).\nAnswer: 1989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {r: 6, p: 1, j: 1, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 13*m**2 - 12*m + 17. Let n be q(12). What is the highest common divisor of 136 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 9*f = -17, 5*a - 504*f + 246*f = -259*f - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + -6 + 38 + -12 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2953 - -836. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2325094?\nAnswer: 2, 1162547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*c - 2835 = -33*c - 98*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsssssssssss. Give prob of sequence xs.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 - -6202.3638?\nAnswer: 6202.4438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71526)\/(-1703))\/((-2)\/2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3911*f = 3905*f + 78 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 - 5*i**2\/2 + 169*i. Give m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i - 1. Let w be h(-4). What is the second derivative of 3*y - y**3 - 6*y + 3*y**w wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 400960 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2560)*1)\/(sqrt(48)\/sqrt(54) + sqrt(8))*3 + ((-3*sqrt(550))\/sqrt(11))\/(sqrt(10) - sqrt(70)\/(sqrt(7) + sqrt(7)*1) - sqrt(10)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 10*z**2 + 10*z**2)*(-2*z + 4*z - 3*z)*(9 - 4 + 3) - 2*z**4 + 1 - 1.\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(1100)*2) + (sqrt(44) - (-1*sqrt(704) + sqrt(704) - sqrt(704))))\/(sqrt(100) - -5*sqrt(100)*-6).\nAnswer: 4*sqrt(11)\/145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23320 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aja when three letters picked without replacement from {d: 4, j: 1, a: 7, r: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:54 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 + 14*u**3 - 1 - 4*u**2 + 5*u**2 - 11*u**3 to the form h + f*u**2 + t*u**3 + o*u**4 + q*u and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 3. Let p be i(0). Solve 0 = -2*z + z + p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.36159 tonnes?\nAnswer: 361590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 61088 = -5*d, -4*z = -d + 2*d - 81479. What is the third derivative of -z*i + 43*i**3 + 20371*i + 58*i**2 wrt i?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = 2. Let m be (16\/(-3))\/1*(-33)\/22. What is the tens digit of m\/(24\/(-9)) - 170\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -657*r**4\/2 + 808*r + 795. Differentiate t(g) wrt g.\nAnswer: -3942*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47846 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**4*s*v + 1011*h**3*v + 4*h**2*s*v - 10*h**2*v - 9*v wrt h.\nAnswer: -72*h*s*v + 6066*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/9 - 35574\/(-1113)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37363 (base 9) in base 3?\nAnswer: -1021102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*s - 42, 31*z - 35*z = -s - 50. Suppose 8*l - 3*l**2 + 10*l + 4 + 0*l - z - 15 = 0. Calculate l.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**16*r*r**(-1\/5)*(r**1*r)\/(r\/(r\/(r**(3\/13)*r))) assuming r is positive.\nAnswer: r**(1142\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + 39. Let y = j - 65.5. Which is the biggest value? (a) y (b) 2\/15 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*d - 16 = -2, -k = -2*d - 10. Suppose -j = -k*j + 36. What is the highest common factor of j and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/174 and 77\/72.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 47316.\nAnswer: 141948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3188723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15315*i - 15307*i + 56 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2 - 379*r + 378 = 0.\nAnswer: 1, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 1 = -2*m + 5, 0 = -3*m - q + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 18.5. Let w = m - -1.9. What is the closest to 2 in -2\/15, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 288332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 191*r**4 - 35*r**2 wrt r?\nAnswer: 4584*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775856 is divided by 1165?\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2557 (b) -5\/2 (c) -2356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2424\/300 + 39 + -47?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 0 + 11\/6*c**3 - 1\/12*c**4 - 1\/2*c**2 - 4*c. Is v(6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 3*q. Let r be c(-4). Let m = r - 6. Let v be (m - (-5)\/2)*-1. Is 2 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (0 + sqrt(704) + sqrt(704) + 0)) + (0 + sqrt(704))*-3 + -2 + 1)*6.\nAnswer: -192*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3546, 7095, 10648, 14211, 17790?\nAnswer: 21391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/33, 1485, 1\/3 in descending order.\nAnswer: 1485, 1\/3, 8\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/7*-21.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/825 and -101\/300?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 8*t - 6. Let k be v(7). Suppose 4*b + k = 13. Solve f = -b*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h + 4*h + 6*h - 4*h**2 - 736 - 1239 - 2*h**3.\nAnswer: -2*h**3 - 4*h**2 - 1975","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 312342 divided by -6\nAnswer: -52057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 5*i + 75, -4*i = p - 6*p - 48. Let f = p - -21. Suppose -11 = -z + f. Solve 5*o = 5*u + z, 3*o = 5*o + 2*u - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 36. Suppose -3*l + 5*o + 83 = 0, -4*l + 3*l + 4*o + q = 0. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -487, -7\/9, -2\/15, -2, 4?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 2:11 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24130*d**2 - 16*d + 1917944 wrt d.\nAnswer: 48260*d - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 116d344?\nAnswer: -116d343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/59 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + 8\/10*(-15)\/(-6). Let m be (-6)\/(1 + (-2)\/f). Let u be (55\/(-10))\/(m\/8). Solve u*g - 6*g = -4*v + 31, 5*v + 2*g = 26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Suppose -h + 3 = 0, 19 - 59 = -5*w - 5*h. Let t = w + 0. Suppose t*p = 2*m - 17, -p - 2*m - 4 = p. Calculate a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*r + 22, 5*w + 0*w - 4*r = -26. Let p(z) = 31*z**2 - 2. Let l be p(w). Let v = l + -612\/5. Is -0.1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uht when three letters picked without replacement from tptrtuhuutuutrhuuuuu.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, w: 1, e: 2}. What is prob of sequence ehew?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:53 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 2381829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 659 - 334. Suppose 1074 = -4*u - 2*j, -480 - q = 3*u + j. What is the common denominator of (u\/24 + -3)\/1 and -17\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -555 + -89?\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4)*10752\/(-10080)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9 + (-22)\/(-3). Let f = 5 + l. What is the remainder when 36 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 163?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10348, -4, -5\/6?\nAnswer: 10348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n - 39. Let y be o(-5). Let b(a) = 2*a**2 + 6*a - 12. Let d be b(y). Is 9 a factor of (28\/21)\/(1\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0*u + 1\/2*u**2 = 0. Calculate u.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011001001011 (base 2) to base 9.\nAnswer: 38826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -13.91115762 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*g + 2*f - 9, 3*f + 5 = -g. Solve -g*n = -42*n - 64 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21908*k + 1178248 = 2904*k for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4785 + 38*t + 4785 to the form s + m*t and give m.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2387*t**2*z + 51*t**2 - 127*t + 4*z**2 wrt z.\nAnswer: -2387*t**2 + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 4*q - x, -3*q + 8*q = 3*x - 177. Let n = -3 - q. Let u be ((-652)\/12)\/(1\/n). What is u rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, 0.3, 5, 16, 1\/4, 1\/6, 0.258?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23798446 divided by -4.\nAnswer: 11899223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2. Let x(n) = -922*n**2. Calculate q(x(r)).\nAnswer: -4250420*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(3\/10)*p*p*p**(4\/7)\/p*p assuming p is positive.\nAnswer: p**(271\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -492, -897, -1198, -1389, -1464, -1417, -1242, -933?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40181004 is divided by 355584?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1284000 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b*b**(-2)*(b**(-11)\/b)**9 assuming b is positive.\nAnswer: b**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12076458 or -12076471?\nAnswer: -12076458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8 - -3. Let m = 12.1 + -2.1. Let u = m - 9.6. Sort -1\/8, d, u in descending order.\nAnswer: u, d, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20765.\nAnswer: 5, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15915.763 + 0.8\nAnswer: 15916.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 49528752 divided by 408\nAnswer: 121394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:51 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**4\/2 + 2*s**3\/3 + s**2\/2 + 2*s + 3. Let j be u(2). What is the least common multiple of 1 and (-2)\/j*120\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -9735\nAnswer: -4867.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6958438 divided by -41?\nAnswer: 169718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2875474 and 81\/3286256.\nAnswer: 23003792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1, -2, 1\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 203180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4323*p**4 + 6*p**2*r - r - 775687 with respect to p.\nAnswer: -17292*p**3 + 12*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824712, 824711, 824710, 824709?\nAnswer: 824708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*-6*(-6)\/(1944\/27)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 706445820 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5 + 1 + 3 - 4*t + 3. Suppose -3*z = -5*a - 13 + 5, -5*a + 4*z = 4. What is the units digit of q(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671825.\nAnswer: 3, 5, 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5\/2 + 357*d**4 - 28890*d**3 + 839193*d**2 - 7238217*d\/2 + 2808450 = 0.\nAnswer: 1, 4, 75, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 128 - 2 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*v**2 + 9*v**2 + 17*v**2 - 5)*(v**2 - v**2 + v**2) in the form q*v**3 + x + l*v**2 + n*v + k*v**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**4 - 12*t**4 + 13*t**4 + 7*t**2 + 3 - 20*t**4 wrt t?\nAnswer: -600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 26. Solve -3*g = -k + 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -571*v + 20. Let x(n) = 4*n**2 + 38*n + 15. Let y be x(-9). Is t(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 5*r + 4*r. Let o(n) = 3*n**2. Calculate i(o(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49017*l*m**3*s**3 - 9*l*m**3*s - 5*l*m**3 + 2*l*m*s**3 - 33*l*m*s**2 + 12*l*s**2 - 3*m**2*s**3 + 145*m**2*s**2 - 28 wrt m?\nAnswer: -294102*l*s**3 - 54*l*s - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 8. Let o be a(-6). Let z(b) = -2*b**2 - 50*b + o + 46*b + b**2. Give z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 - 983*q - 2192. What is z(-107)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -29. Let q = 22 - 23. What is the nearest to -2 in q, 5, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1871619, -3743229, -5614839, -7486449?\nAnswer: -9358059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 409.4, 2.\nAnswer: -5, 2, 5, 409.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135322 + -344?\nAnswer: 134756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -291 (c) -0.1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (34 - (-132 + 68))\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 + 6*j + 2. Let v be m(-5). Let z be (-1 + 0)*v - -19. Calculate the highest common divisor of z and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110222 + 112000?\nAnswer: 22222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/10 - c**4\/4 + c**3\/3 - c**2\/2 - 2*c. Let a be b(-3). Calculate the greatest common divisor of 40 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 8:35 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-969)\/114 + (-3)\/2. What is the tens digit of 1*(1387 + (u - -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2781 and 8964.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 191793257 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202068175?\nAnswer: 5, 79, 101, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 16 = -48 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 48*r + 758. What is f(-22)?\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 26*k - 53. Let a be q(25). Let y = -66 - a. Calculate the remainder when 33 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2124 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/11 - 268*n**3\/11 + 6021*n**2\/11 - 40610*n\/11 + 85400\/11 = 0.\nAnswer: 5, 14, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c - 24 = 0. Suppose 2*i - 12 = 2*u + c, -4*i + 12 = 2*u. Factor -7*n**3 + 12*n**2 - i*n + 22*n**3 + 2*n.\nAnswer: 3*n*(n + 1)*(5*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45088 - 46088 = -40*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03902817 * -2.\nAnswer: 0.07805634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, 2, -5, 5 in descending order.\nAnswer: 159, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73281, -146550, -219817, -293082, -366345?\n\"Answer: s**2 - 73272*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.403 - 0.403. Is -2.88 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31*-30661.\nAnswer: -9504.91","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 557912.\nAnswer: -1\/278956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602343185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.94 - 0.9399863. Round c to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -2 + -1 - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**5 + 36*v**3*z**2 - 6*v**2 - 12*z**2 wrt v.\nAnswer: 60*v**2 + 216*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/6 - 7*z**4\/6 + 7*z**3\/6 + 55*z**2\/6 + 7*z = 0. What is z?\nAnswer: -7, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (183\/122)\/((3*2)\/1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59138 is divided by 279?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 193, -1 in decreasing order.\nAnswer: 193, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -902, -2787, -5658, -9503, -14310, -20067, -26762?\n\"Answer: 2*q**3 - 505*q**2 - 384*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -201*k - 221. Calculate i(2).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14)\/(-7) + 5 + 49*8?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 4*g + 2*g**2 - 4*g + 0 + 3 to the form f + c*g**2 + q*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u = 13*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1000)\/(-30))\/(100\/(-150)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1 - -1166524) + -3. Let b = n + 5733480. Suppose l + b = -0*l. What is l rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:22 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 550018 (base 9) in base 5?\nAnswer: 40444232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.73731 + -0.10331. Round m to 1 decimal place.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.15 and -6445.\nAnswer: -6444.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 9000805?\nAnswer: -1\/9000805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*x = -107, -91 = -5*c + 2*c - x. Let n = c - 25. Let a(b) = 2*b - 10. Let f be a(n). Which is smaller: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 20 + 9*q**2 + 15 as m*q**2 + i + c*q and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*c**3 - 962760*c**2 + 579316761*c = 0. Calculate c.\nAnswer: 0, 24069\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -2.06. Let y = z - -1.99925. Round y to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6461a3 (base 12) in base 9?\nAnswer: 2877326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**2 + 45*v - 196 = 0.\nAnswer: -49, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2. Let s(l) = 3*l + 2. Let r(a) = -4*a - 3. Let v(k) = 2*r(k) + 3*s(k). What is v(o(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Let a(g) = g - 5. Let f be a(s). Find the second derivative of f*u**3 + 4*u - 2*u - u**3 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) - (sqrt(6) + sqrt(6)*-3)*-4)\/(-3*sqrt(72) - sqrt(12)\/sqrt(150)).\nAnswer: 20*sqrt(3)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 17, 1, -23, 20362, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 56634.98 centuries?\nAnswer: 5663498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 3*l + 0*l)*(3*l**2 - 4*l**2 + 3*l**2) + (3*l + 3*l - 3*l)*(-4*l + 4*l - 2*l**2).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(13)*1 - ((sqrt(13) - sqrt(468)) + -4 - sqrt(13))**2.\nAnswer: -484 - 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - (-73 + 11))*4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 28*u = 162. Let w = u + -15. Solve w*v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 205 + 95aba?\nAnswer: 96103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**3*y**2 + 3952*h**3 + 51*h**2*y - 10*h*y**2 wrt y?\nAnswer: -4*h**3*y + 51*h**2 - 20*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-207))\/((-3)\/(-900)*-4).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -206?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**2*z**6 - 69*d**2*z**4 - 93*d**2*z**2 + 3*d**2 + 2*z**2 wrt z?\nAnswer: 720*d**2*z**3 - 1656*d**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1296\/336)\/(24\/448)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.2, -2\/89?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33417, -66328, -99265, -132240, -165265, -198352?\nAnswer: -231513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -7*r**6\/120 - r**5\/10 + r**4\/3 + r**3\/3 + 71*r**2. Let y(l) = 6*l**3 + 5*l**2 - 7*l - 2. Give 5*f(d) + 6*y(d).\nAnswer: d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 888\/660 + 6\/(-11). Suppose n*j + 0 - 2\/5*j**2 = 0. What is j?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 94 = 1225. Suppose i - 1123 = 4*t. Factor 3\/2*o**3 + 0 + 0*o - 21\/2*o**t.\nAnswer: 3*o**2*(o - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 7*l + 1 - 3 - 5*l + (-3*l - l + 3*l)*(-2*l**2 - l**2 + 2*l**2).\nAnswer: -2*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhgkggbblkgggvb. Give prob of sequence glv.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*s - 28*s**2 + 16*s in the form x*s**2 + o + z*s and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06223 rounded to 3 dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5675 is divided by 129?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6558 in -0.5, -5, 83, 2, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -0.3 (c) 1 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2022214 (base 5) to base 16\nAnswer: -8029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:10 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10101001010 (base 2) to base 7\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 44309972.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**2 + 14*s + 293. Is t(14) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-13))\/c)\/(c**(2\/25)*c*c) assuming c is positive.\nAnswer: c**(-377\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 6*w**2 - 7*w + 11. Let u(a) = -2*a**2 + 16*a - 9. Let d be u(7). Let b be c(d). Is -2\/23 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17873 divided by 17873.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67959092 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - j + 24, 0 = -k - 0*k - j + 14. Let q = 171 - k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 548575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 6. Let s be o(4). Let q be 2\/s*(2 + -2). Suppose q = -4*r - r + 25. Solve 4*b = -1 + r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k. Suppose 2*x + 2*s = 12 + 8, k = 2*x + 5*s - 32. What is the remainder when 63 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/14 + 7410\/70 is divided by (-55)\/44*-16*9\/5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702341923?\nAnswer: 29, 24218687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2394, -2411, -2434, -2463?\nAnswer: -2498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 + 7*w - 4. Let l = -1 + 6. Is a(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.90543 to one decimal place.\nAnswer: 29.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63294\/(-6713) + (1 - (-14)\/2)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3444485?\nAnswer: 5, 11, 62627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 4*o + 7*o - 3*o - 1884 + 0*o to w*o**2 + a + r*o + j*o**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 21 - 23 = 0. Put -3\/2, w, -4\/5, 6 in decreasing order.\nAnswer: 6, -4\/5, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -12*f. Let u(a) be the second derivative of 5*a**3\/6 - 27*a + 2. What is m(u(l))?\nAnswer: -60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 26. Let i = f + 3. Put i, 1\/4, -2 in decreasing order.\nAnswer: 1\/4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**6\/105 - 6*y**5\/35 + 6*y**4\/7 + 3*y - 2. Factor b(p).\nAnswer: 2*p**2*(p - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3523, 3527, 3533, 3541?\nAnswer: 3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 147?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:06 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -711*o**4 - 31*o**2 - 2*o + 41808?\nAnswer: -8532*o**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 10:15 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*h**4 - 19*h**2 + 2023*h - 5.\nAnswer: -168*h**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2 - 12\/90.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*c - 6, -c - 2 = -0*d - d. Solve d*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -19*j + 13. Let a(c) = 10*c - 7. Suppose 4*q + 46 = 3*w, -6*q = -2*w + 72 - 18. What is w*o(u) + 11*a(u)?\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 + 0.3. Let m = 5.62 + h. What is m rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11413331 (base 5) to base 2\nAnswer: -11010001101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 269*h - 264*h - 4*j, -5*h - 4*j + 130 = 0. Let a be (-2 - -431)\/((-6)\/(-4)). What is the greatest common factor of h and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z - 5. What is h(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + -3*sqrt(44) + (-1*sqrt(264)\/sqrt(6) + sqrt(44) + sqrt(44))**2.\nAnswer: -6*sqrt(11) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 5:05 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 7*y**2 - 10*y + 16. Let p be h(5). Let i(f) = f - 9. Let k be i(p). Solve -1 = 4*l - 13, -4*l = -5*b - k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 5*t + 325. Give q(59).\nAnswer: 3511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = 3*m + 4*k, 17 = -3*m + 2*k. Let d(l) = -l**3 - 7*l**2 + 9*l + 11. Let w be d(-8). Sort m, w, 5 in decreasing order.\nAnswer: 5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 468 + -467. Which is the closest to y? (a) -2\/17 (b) -1\/4 (c) 0.9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34694, 67939, 101184, 134429?\nAnswer: 167674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 3*u + 6*u. Let t(s) be the second derivative of -5*s**4\/12 + s. What is p(t(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -22. Let d = 11 - 11.5. Let i = 0.4 - 0.2. Which is the closest to i? (a) d (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + t + t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m - 2*m + 2*m)*(-2 + 0 + 3) - m + 1 - 1)*(-7*m + 56 - 56 + (-3*m + 2*m + 3*m)*(2 - 5 + 4)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.9479 - -0.0521. What is the third smallest value in -0.5, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96012?\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.399 + -3031.601. Let a = f - -2970.96. Let v = a + 67. What is v rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*x = -x + 130, -5*x = 3*a + 59. Suppose -3*o + 5*o = 86. Let u = o + a. What is the remainder when 44 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6354736?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 8*l**4 - 158210*l**3 + 4306072*l**2 - 15601894*l + 3633816 = 0?\nAnswer: 1\/4, 4, 23, 19749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**3 + 271701*l**2 - 26928102*l - 27199800 = 0.\nAnswer: -90666, -1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1268, 1771, 2268, 2759, 3244, 3723, 4196?\nAnswer: 4663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1784941, -7139763, -16064461, -28559035, -44623485, -64257811, -87462013?\nAnswer: -114236091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 20*r = 15. Suppose 4*n = 3*p - 360, 0*n + r*p = 2*n + 194. Let m = n - -90. Solve m + 0 = 3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*g + 1, z = 2*g - 3 + 2. Suppose -5*b + 3 = -2*b. Differentiate 0 + 8 + g*f - 3*f - b wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 13 = -1. Let f be j\/(-7) + (2 - 3\/7). Suppose 4*u - 2*h - 460 = 0, f*u + 0*h = -2*h + 230. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 + 8*u**2 - 3*u**2 - 1 wrt u?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 9:35 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, c: 5}. Give prob of picking 1 i and 1 c.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + ((-17)\/3)\/(20\/60).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/13 + 4*g**2 - 8*g\/13 - 16 = 0. What is g?\nAnswer: -26, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7780*m + 7781*m + 2*u - 21, 0 = 4*m + 11*u - 114 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h - 8. Let o = 1144 - 427. Let r(y) = 16 - 726*y + o*y + 1. What is -13*f(m) - 6*r(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = -3. Let l(f) = f + 4. Let c be l(-9). Sort h, 4, c in ascending order.\nAnswer: c, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264016 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 1 - 21. Suppose 2*b - p = 0, -9 = 3*g + 2*b - 34. Let f(y) = 137*y + 14. Is f(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474475437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 332.9 + -333.4. Let p be (-26)\/40 - 2\/(-8). What is the third smallest value in p, x, 2, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 61*z**2 + 8 + 8*z + 460*z**2. Let i be b(4). What is the tens digit of (2\/(-3))\/(i\/1068 + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 17 = 4*c, -1 = -3*v + 2*v + c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 + 8\/6. What is the third derivative of s**m - 3*s**2 - 4*s**4 + 2*s**4 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*d**3 + 3 - 3 + 150*d**3 - 259*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhjjhxrxjjj. What is prob of picking 1 h and 1 j?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1251 and 1104.\nAnswer: 460368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 v when two letters picked without replacement from dkkvkkkwd?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.747148t to nanograms.\nAnswer: 4747148000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*k**3 + 2*g**3*k + 29096*g**2*k**5 - 1471*k**2 wrt k.\nAnswer: -12*g**3 + 1745760*g**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-2\/99)\/(y**(-1\/3))**(-19) assuming y is positive.\nAnswer: y**(-629\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*k + 9, -1 + 3 = -2*k. Let n(q) = 5*q + 4. Let s be n(t). Suppose 5*c - s - 26 = 0. Calculate the remainder when c is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 5*s + 4. Give x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + -66. Let a = i + 119. Suppose -s - 9 = g - 5*g, -4*s - 25 = -5*g. Solve g = -3*q + a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4*2\/(-16)) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.149 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-5) - ((-3)\/(-14) - (-42750)\/(-52500)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327*i**3 - 3075*i**2 wrt i?\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -985 - -985. Solve u = 14*p - 60 + 32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4103, -6, -3, -0.1 in ascending order.\nAnswer: -6, -3, -1, -0.1, 3, 4103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44, 91, 136, 179, 220?\n\"Answer: -j**2 + 50*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**4\/12 - 2*i**3\/3 + 7*i**2\/2 + 3*i. Suppose 12 = -6*a - 0. Let h(n) = 13*n + 32. Let x be h(a). Determine v(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13\/(-52) + (-1778)\/(-8). Suppose -966 = c*o - 228*o. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*a**3 + 3978*a**2 - 1897*a + 5.\nAnswer: 60*a + 7956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -952, -3152, -7438, -14506?\nAnswer: -25052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308682*a - 117828 = -1306500*a for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*s**2 + 81*s**2 + 74*s**2 + 258*s**2.\nAnswer: 321*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/7)\/(t\/((t*t*(t*t\/(t*((t*t*((t\/((t*t*t**(10\/7)*t)\/t))\/t)\/t*t)\/t)\/t))\/t)\/t)) assuming t is positive.\nAnswer: t**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6451 is divided by 1282.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -31, 2958, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 14*m + 1182 = 0. Let s = m + -309. What is the common denominator of 52\/21 and s\/504 + ((-178)\/45)\/(-1)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28058948?\nAnswer: 2, 1063, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 - -3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 195 and -1263001277496.\nAnswer: -1263001277301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - 3*d**2 + 3. Let x(l) = 161*l**3 + 119*l**2 - 119. What is 238*v(c) + 6*x(c)?\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43 - 0.33. Let g be -6 - (-3 - 1\/(-1)). Sort u, -0.3, g, -0.4 in decreasing order.\nAnswer: u, -0.3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -190*-1*(-7)\/(-21)*(-15)\/(-50)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 23. Let s be -58 + 1\/((-3)\/g). List the prime factors of (-2403)\/s*(3 + -1).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -45 (b) 122 (c) -0.59 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1700) + (sqrt(1700) - (5*sqrt(1700) - sqrt(1700))) + sqrt(17)).\nAnswer: -57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 579819448?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54089860 rounded to the nearest 100000?\nAnswer: 54100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 15, -3, 3, 57 in decreasing order.\nAnswer: 57, 15, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 197?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 6)*(0*g + g - 2*g)*(51*g - 19833 - 3*g**2 + 19833).\nAnswer: -21*g**3 + 357*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 71? (a) -3 (b) 1452834 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -37*q. Let b(l) = 5*l. Give y(b(h)).\nAnswer: -185*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178634790 to the power of 1\/3, to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11306589 is divided by 1494.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2580708586 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 4*j**3\/3 + 19. Let s(p) = 2*p. Calculate a(s(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - 14. Find z, given that -k*z**2 + 3*z**2 + 2 + 2*z + 0*z**2 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1731 (c) 4.2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/(j**(-10)\/j))\/(j**(1\/11)\/((j\/(j*j**(-1\/7)))\/j)))**(7\/9) assuming j is positive.\nAnswer: j**(851\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.4 (b) -47 (c) -22 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 + 118. Determine w so that -29*w - 44*w**2 - 16 - w**4 - 3*w**4 - c*w - 8*w**2 - 24*w**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7377 - -7474 - (1 - -168).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-11 - -6 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -844.1 + 841. Let n = 7 - 2.6. Let f = n - o. Round f to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -6*m**2 + 152. Let y(z) = 2*z. Calculate x(y(t)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46302*w**2 + 46302*w**2 - 7*w**3 + 0*w**3 + 4*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - 199*u - 18*u**3 - 10 + 17*u**3 + 93*u + 98*u. Give c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - o**3 + o**3 - 2*o**3 + ((3*o**2 - o**2 + 0*o**2)*(-3 + 4 - 3) + 3*o**2 + 4*o**2 - o**2)*(829 + 190*o - 829).\nAnswer: 378*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0 + 86. Let u = y + -35. Solve -2*f = 2*f - u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98.3 + 32.4. Let y = 65.6 + p. Which is the third biggest value? (a) -0.2 (b) y (c) 8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41213, -82426, -123639, -164852?\n\"Answer: -41213*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*n + 48 = 201*n + 152*n. Factor 13\/3*z + 5\/3*z**2 - n.\nAnswer: (z - 1)*(5*z + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/29 - 188\/725. Is a >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -25659207.\nAnswer: 2\/25659207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2968, 6056, 9144, 12232, 15320, 18408?\n\"Answer: 3088*z - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.023? (a) 2\/5 (b) 191 (c) 0.042\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3081*l + 3080*l - 2*k = -7, 4*l - k = 28 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8025701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10664, -10766, -10896, -11054, -11240, -11454?\n\"Answer: -14*o**2 - 60*o - 10590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74557845?\nAnswer: 3, 5, 1656841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -78*m**3 + 2*m + 726. Let q(b) = 155*b**3 - 2*b - 1450. Let j(k) = -5*g(k) - 3*q(k). Differentiate j(o) wrt o.\nAnswer: -225*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9325746 and 109662.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 9, 41*v = y + 39*v - 5339. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -30.06. Which is the nearest to 2\/3? (a) d (b) -1\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17921, 16215, 13399, 9479, 4461, -1649?\n\"Answer: c**3 - 561*c**2 - 30*c + 18511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -19 + (3 + -1 - 2) + -21 + -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2380)\/1185 + (0 - -2). Let q = 464\/1185 - z. Factor 0*k + 2\/5*k**2 - q.\nAnswer: 2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and -39342816.\nAnswer: -39342816.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z - 44. Let p = -100 - -107. Let a be y(p). Let 3\/5*t + 0*t**3 + 0 + 6\/5*t**4 - 3\/5*t**a - 6\/5*t**2 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 34. Suppose -2*g = -5*g - z + 8, 5*g - 4 = a*z. Suppose 3*p = -g*p + 200. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1138787 divided by -349.\nAnswer: -3263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - (-2 - -13) - (111 + -113))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 6)*(0 + 0 - g)*(4*g - 2*g + g).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -746?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a77 (base 11) in base 5?\nAnswer: -4132334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(200)\/sqrt(5))\/((sqrt(72) - sqrt(8))*-2).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4183 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: Let v(f) be the third derivative of -f**4\/12 + 35*f**3\/6 - 105*f**2. Let w = 17 + -6. What are the prime factors of v(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 + -98. Suppose -2*b - b = -5*u - 49, -17 = -4*b - 3*u. Solve -b*t = -k + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3409*y + 3401. Calculate h(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -165317 (base 9) to base 2\nAnswer: -11000111110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 - 67*l - 310 = 0.\nAnswer: -62, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2\/2 - 48*r + 95\/2 = 0.\nAnswer: 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1376\/64 - 21)*(35 + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {j: 1, b: 3, a: 9, c: 1}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4489029 and -316412.\nAnswer: 4172617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 183228 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2403*r**4 + 3417*r + 54 - 6962 - 1712*r - 1707*r - 324 wrt r?\nAnswer: -9612*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 31*f**2 + 13*f - 33. Let b be v(-15). Let l(x) = -x**3 + x**2 + 13*x + 8. Let k be l(b). Solve -m - k + 1 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z - z + 6*z + 3*z - 3*z. Let m(f) = -2*f**2 + 71*f. Calculate m(v(j)).\nAnswer: -2*j**2 + 71*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*z**2 - 7*z**3 + z - 31*z**2 + (0*z + z + 0*z)*(4*z**2 - 4*z**2 + 2*z**2) + 0*z**3 - z**3 + 0*z**3 to x*z**2 + q*z**3 + l*z + r and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g + 14. Determine i(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 0*r**4 + 0*r**5 + 0*r + 2*r**2 - 1\/120*r**6 - 1\/6*r**3 + 0. What is the derivative of p(m) wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tctccccccttt. What is prob of sequence tc?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 3}. Give prob of picking 2 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 12*p**5 - 1527*p**4 + 10605*p**3 - 19836*p**2 + 4320*p = 0?\nAnswer: 0, 1\/4, 3, 4, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 47. Is -5 - (u - 82) - 2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 88 + 37 = -5*w, 0 = 4*w + q + 100. Let x be (-40)\/w - 4\/(-10). Suppose 7*b - x*b + 26 = l, -b = 5. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 1\/8*k**4 - 1\/40*k**6 - 1\/210*k**7 + 0*k - 6*k**2 + 0 + 1\/3*k**3 - 1\/60*k**5. Factor q(s).\nAnswer: -(s - 1)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 + (-672)\/(-108) - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {o: 5, q: 7, e: 2}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/((i*i**(1\/4)\/i*i)\/i))\/i*i)**(-2\/67)*i**(-1\/11)\/i**(1\/19) assuming i is positive.\nAnswer: i**(-5483\/28006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - 4269 + 4274 + 5*g**3 - 3*g**3. Let y(o) = o**3 + 3*o**2 + 2. Determine -3*j(n) + 5*y(n).\nAnswer: -n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - v = -295442, 3*s + 4*v - 93983 = 4527. List the prime factors of s.\nAnswer: 2, 3, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 2*m = -12, 4*m - 147 + 316 = 3*w + 163 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 100000100 (base 2) to base 16\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14800\/1760)\/(-185)*3*24.\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 396 = 219. Let a = z + -118. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/(y*y**(1\/6)))\/y)\/(y**(-1\/9)*y)*((y**3*y)\/y)**(3\/16) assuming y is positive.\nAnswer: y**(-71\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 272\/(-48)*(-3 - 0). Let t = j - -2. Suppose -141 = -l + 4*v, -2*v + 583 - t = 4*l. What are the prime factors of l?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469584 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1077896 to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153))*-5.\nAnswer: -15*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2699892.\nAnswer: 2, 3, 13, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041567 rounded to 5 dps?\nAnswer: -0.00416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(-2 + sqrt(98) + 4)*-3)**2.\nAnswer: 16128*sqrt(2) + 58752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 53*v + 29. Is p(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p. Let q(w) = -5*w - 9. Let f(z) = -6*z - 10. Let h(l) = 4*f(l) - 5*q(l). Let n = 5 - 9. Let v be h(n). Calculate j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h - 1025 = 603*h + 892 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0d (base 15) in base 12?\nAnswer: -1387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*f - 5, -5*q = 2*f - 12 + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75339 is divided by 513?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -136*o + 5. Let w(b) = -2*b + 2. Calculate -p(u) + 3*w(u).\nAnswer: 130*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 6*t**2 - 5. Let g(l) = -l**3 + l**2 + l - 1. Let v(k) = 3*g(k) - j(k). Calculate v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f**3 - 11*f**2 + 5*f - 826. Let p(v) = -6*v**3 - 6*v**2 + 3*v - 412. Calculate 4*g(c) - 7*p(c).\nAnswer: -2*c**3 - 2*c**2 - c - 420","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 = -5*s + 60, -21 = -2*s - r. Solve -s*k = -2*k - 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Suppose 5*v + 1 - 30 = -x, -c*v + 21 = 3*x. Sort -4, 5, v in decreasing order.\nAnswer: v, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 18 = 2*h. Suppose 7 = l - h. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125182157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*a = -20. Suppose -5*t - 2*s - 76393167 = 0, a*t + 76393163 = -t + 2*s. Let k = -10478633 - t. What is k rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9228660 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 805.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 39*o - 44*o = 9, -3*f + o = -9. Let j = 0 - -0.2. Let v = 4.5 - 6.5. Which is the nearest to j? (a) f (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3113 and 12496?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - 3. Suppose 4*q + 210 = 5*n, -3*n + 3*q + 134 = -q. Let k = n + g. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 27*y**2 - 16*y - 33. Calculate k(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4378)\/55 - -10)*(-20)\/3.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n**2 - 2*n**3 + n**2 - 5*n - 10*n**2 - 17*n**3 to the form c*n**2 + o*n**3 + s*n + k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/17? (a) 1\/15 (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 503 - 505. Let a(t) = -5*t**3 + 46*t**2 - 164*t + 160. Let u(g) = -2*g**2 - 2*g. Let f(y) = m*u(y) + a(y). Factor f(x).\nAnswer: -5*(x - 4)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40808000 rounded to the nearest one million?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(7) + (5 + (2*sqrt(7))**2 - sqrt(7)))*-2 - ((sqrt(343)\/sqrt(7))\/sqrt(7) + sqrt(7) + (sqrt(112)*-3)**2).\nAnswer: -1084 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)**(-13\/6)\/(a**(-1\/6)*a**(1\/2)))**1 assuming a is positive.\nAnswer: a**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -3, 0.2, 3\/713 in decreasing order.\nAnswer: 0.2, 2\/25, 3\/713, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*r + 1 + 11, 4*r = 2*n. Let w be (-3)\/(-16)*n\/9. Sort -4\/9, 2, w.\nAnswer: -4\/9, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*a + 35. Let s be ((-24)\/(-10))\/((-18)\/2925). Let t be (-11)\/(55\/s) - 3. Calculate the highest common divisor of t and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(9\/(-15))\/((-99)\/55).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -61*o + 871. Let g be w(14). Solve -8*a + g = 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**4 + n**2 - n - 2. Let p(u) = 12*u**5 - 16*u**4 - 344*u**3 - 44*u**2 + 2444*u + 1560. Let k(m) = -12*l(m) - p(m). Let k(o) = 0. What is o?\nAnswer: -4, -3, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/7*(-24738)\/(-120156)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-3 + 3) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242)*2 + (sqrt(16)\/(sqrt(8) + sqrt(128)))**2.\nAnswer: 2\/25 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1326\/(-52)*16\/(-18))\/((-188)\/705)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56290367.9999986 + -56290360. Let s = -10 + 18. Let b = j - s. Round b to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4673, 4664, 4655?\nAnswer: 4646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -92612 less than -274593189?\nAnswer: -274500577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 1.6?\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103 and 1339?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.052 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001336168 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 27696920.27 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 6:52 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/57))**12 assuming n is positive.\nAnswer: n**(-8\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10*t**2. Let z(n) = -3*n**2. Give z(x(k)).\nAnswer: -300*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, w: 5, m: 1, p: 1}. Give prob of sequence mtw.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 4*o. Let i(s) be the first derivative of 0*s - 1\/2*s**2 - 2. Let m(w) = -4*i(w) + q(w). Let z(a) = 3*a. Determine z(m(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 275\/75 - (-4)\/(-6). Let h(p) = p**o - 13*p + 13*p + p**2 + 293. Is h(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 12*w**2 + 12*w + 14. Let h = 14 + -25. Let a be j(h). Suppose a*v - 4*v - 18 = -l, v = 5*l - 78. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - -158. Let j = 219 - r. Let t(x) = -x**3 + 7*x**2 - 6*x + 4. Give t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n**3 + 11*n**2 + 11*n - 48. Let u(t) = -7*t**3 - 4*t**2 - 4*t + 16. Determine -4*l(s) - 11*u(s).\nAnswer: -3*s**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2 - 124*y + 5. Let x be s(-31). Solve -x*t - 32 = -22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*c - 5*x - 25, 5*c - 15 = 3*x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 + 2*n - 1. Let u be t(1). Let d be -5*(-4 - -1 - (-27)\/15). Suppose -d*l - 20 = 4*l. Put l, u, 4 in decreasing order.\nAnswer: 4, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 41 + (-1 - 0*(-1)\/(-3)). List the prime factors of 3\/30 - (-13076)\/o.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(66)*4)\/(sqrt(294) - 5*sqrt(294)*-2).\nAnswer: -32*sqrt(11)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9060 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*(r*(r**(1\/4)\/r)\/r)\/r))\/r*r**(-3\/2)\/r)\/((r*r**(-1\/3)*r*r)\/r**(-8)) assuming r is positive.\nAnswer: r**(-161\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/25241038 and -43\/2270.\nAnswer: 126205190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 3*l + 2. Let i be v(5). Suppose 0 = 2*f - 10, -2*s - 12 + 5 = -f. What is the common denominator of i\/(-44)*(s - -14) and -43\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*30\/(-10)*83\/(-2). Suppose 137 = -i + f + 637, 3*f = 2*i - x. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1489 - 142 = 0. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 11*v + 8. Let p(b) = -5*b - 4. Let w(d) = 4*j(d) + 9*p(d). Let u = -2 + 5. Suppose -11 + 2 = u*f. Calculate w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 931216 and 259?\nAnswer: 6518512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 840514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -0*b - d - 10, -d = -5*b + 25. Factor -u**2 - u**2 - 10*u**4 + 4*u - b*u**3 + 12*u**4 + u**3.\nAnswer: 2*u*(u - 2)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5*g - 5733, 0 = 1991*a - 1989*a + 3*g - 2861. Calculate the remainder when a is divided by 354.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 254*k - 254*k - 161*k**2 - k - k**2 + k + (-k - k + 5*k)*(0*k - k + 4*k) to h*k + p*k**2 + g and give p.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -37*a**3 + 3920*a**2 + 219*a - 772. Give d(106).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(14*(-4 + 5)). Let d = w - -117\/406. Do 1\/2 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 53. Let h = -4 + v. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 970 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 - -30.7. Let x = 34.5 - n. What is the nearest to 27 in -2, x, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 + -148. Let n be (2 - c\/(-15))\/((-18)\/45). Sort 0, n, -1, 4.\nAnswer: -1, 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*u - 4*o, -5*u = -5*o - 0 - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 201, 316, 431?\n\"Answer: 115*g + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1284 (base 10) to base 13\nAnswer: -77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + 5*(5 + 1*sqrt(125)) + 4 + -1 + sqrt(125) + 0.\nAnswer: 26 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 3. Let i be 5*(-34)\/(-35) - (-9)\/63. Sort i, w, 96 in ascending order.\nAnswer: w, i, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-348)\/(-6090))\/(6\/(-20)*-2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -23, -20, -19, -20, -23?\n\"Answer: -s**2 + 8*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from kergkgdkekkkgrkekkk?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 889 divide 35910266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448 + 1354 - 448 + 0*s**2 - 458 - 8*s**2 + 3*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 5*h**2 + 2*h - 6. Let j be i(5). Let b = -1501 + 18113\/12. What is the common denominator of ((-26)\/j)\/((-3)\/(-5)) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2440*p - 25848 = 1722*p for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**3\/3 - 2*q**2 - 2*q - 141. Let l(b) = -b**3 + 9*b**2 - 13*b - 12. Let x be l(7). What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 9:00 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34, -60, -108, -184, -294, -444, -640, -888?\n\"Answer: -t**3 - 5*t**2 - 4*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bb794 (base 16) in base 6?\nAnswer: 102533324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6\/19 - -40\/247. Which is the third smallest value? (a) -5 (b) m (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229468, 458925, 688382, 917839, 1147296?\nAnswer: 1376753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 5*w - 159. Give j(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**21\/(((i*i**(-9))\/i)\/i*((i*i*i**(1\/11))\/i)\/i) assuming i is positive.\nAnswer: i**(-122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 27438395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-138)\/115)\/(6\/(-2360)).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668350934?\nAnswer: 2, 334175467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.462 * -0.035.\nAnswer: 0.01617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + (-4)\/18. Let i = 374 + -236. Let m be i\/60 + 3\/(-2). Which is the nearest to 1\/3? (a) r (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2099, -9895, -23395, -42599, -67507, -98119, -134435?\n\"Answer: -2852*y**2 + 760*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/21*2\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y + 5*t - 45621, 0 = 3*y + 3*t - 68409. Suppose 45599 = -3*z + 7*z + j, -2*j = 2*z - y. Suppose -i = -0*i + z. Round i to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -35*z**2. Let j(k) = 90*k**2. What is j(t(r))?\nAnswer: 110250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n + 6 = 0. Suppose 5 = n*u - 3*u. Let p = u + 31. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2 - 192067*k - 19102 wrt k?\nAnswer: -2*k - 192067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m - 27. Suppose -74 - 47 = 11*d. What is the remainder when g(d) is divided by (-2 - 2)\/((-4)\/26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1849.751 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5290957558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 683 + -598 - (10 + 3 + -6)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k + 48. Let s be w(-15). Solve -2*l = -s - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6028256 and 1118.\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 7) in base 14?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54*5*8\/20. Suppose -r = -w + 3*w. Calculate the remainder when 1\/(160\/w - -3) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8293125 + 61202830.\nAnswer: 52909705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 351819 - 351824.000008. Let x = d + 5. Round x to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:03 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6258.081 less than -376.74971?\nAnswer: -6634.83071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -40*j**3 + 60*j**2 - 60*j - 60. Let a(v) be the second derivative of v**5\/20 - v**4\/12 + v**3\/6 + v**2\/2 + 746*v. Determine -60*a(z) - w(z).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10592 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.66 rounded to 0 decimal places?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((1*-3)\/(6*13\/(-104)))\/22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*(31\/2 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(77)\/(sqrt(33)\/sqrt(3)) + sqrt(84)\/(sqrt(24)\/sqrt(2)) + (sqrt(7) + 0)*1 + -5.\nAnswer: -10 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + g = -3, 2*u = -103*g + 100*g + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21322 - -21353. Let r(f) = f**2 - 34*f + 90. Determine r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -20\/1707?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -182*k + 50*k - 1008*k + 21660 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13354*c**4 - 10194*c**2?\nAnswer: -320496*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702 and 2730.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6386301709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (42627\/(-14209))\/(3\/67)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 80740*q**3 - 1095201432*q**2 - 5106986581212*q - 1564504710263334.\nAnswer: -2*(q + 329)*(q + 13347)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 3*c**2 - c + 1. Suppose 0 = 5*o - 119 + 39. Suppose -o + 4 = -4*h. Calculate i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 171896 = m, 4*m = 3*j - 761907 + 246191. Round j to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by 14.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 a factor of 7740236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(72))**2 - ((sqrt(2) - (sqrt(2) + -1))**2 + 2))*-1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -11, 0.06, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 - (-658)\/(-141). Put 4, 1, i, 12 in descending order.\nAnswer: 12, 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/36 - (-9 + 1 + 10).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (10*1)\/2. Let v be d\/2 - 2\/1. Let w = -31.8 - -32. What is the closest to 1 in v, w, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n + 4 = 0, 5*k - 74 = -2*n. Which is the third biggest value? (a) k (b) 2\/15 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10680347?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:11 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8)\/t**(2\/25))\/((t*t**0)\/t**6) assuming t is positive.\nAnswer: t**(909\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -17 - -37) + 8 + -12 + 11.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 7*c**2 + 5*c - 6. Let a be u(-4). Suppose 0 = -3*i, a = x - 4*i - 38. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 176 = -2*g, -5*y = -2*g - 2*y + 176. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*(u\/((u\/(((u*u**(8\/11)*u)\/u)\/u))\/u))\/u)\/u*u*u)\/(u**(7\/4)*u))\/((u\/(u\/(u**(-13)\/u)))\/u**23))**38 assuming u is positive.\nAnswer: u**(31749\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 + 8*f - 2. Let d(u) = 3*u**3 - 7*u + 2. Let v(r) = r**2 - 5*r - 7. Let s be (-1*1)\/(18\/(-90)). Let l be v(s). What is l*d(i) - 6*h(i)?\nAnswer: 3*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 72. What is the closest to -0.2 in b, 0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.137 - 0.073. Let t = 7.045206 + -7.1091. Let n = d + t. What is n rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000981 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 13*t + 9. Let n(k) = -7*k - 4. Let b(o) = -5*n(o) - 3*w(o). Let m be b(-6). Let r = 35 - m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 b when three letters picked without replacement from bsgkgggasghsgasaags.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 342?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 1915960\/2660 + 2*2\/(-14).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(5*l - 18*l + 6*l)*(4*l**2 - l**2 + 0*l**2) in the form g*l**2 + w*l**3 + j*l + t and give w.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80*8\/(-576)*1\/((-50)\/(-6)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112205\/9 - 12467. Let x(l) be the first derivative of -m*l**3 + 1\/2*l**2 + 2\/3*l - 19. Determine q so that x(q) = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586814590?\nAnswer: 2, 5, 59, 433, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -4.8088453\nAnswer: -9.8088453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 754 + -501. Let s = 257 - b. Let o(c) = 5*c - 13. Calculate o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(15)\/sqrt(3) + -3)*1 - ((sqrt(605) + -2 + -2)*4)**2.\nAnswer: -9937 + 1409*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 337 - 352. Let n be 190\/w*(-5)\/((-10)\/(-48)). Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -3) + 2 - -1) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (17558\/(-9))\/((-82)\/369) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975 and 4329300.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -16 (b) -0.05 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 843*d**2 + 3*d - 1. Let h be g(1). Let y = -505 + h. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let b = l + 2. Suppose -4*v + 4 = -2*v. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)*4\/(-2). Let d(a) = a + 0*a**2 + 0*a - 2 + a**2. Calculate d(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**30*d*d*d**6*d assuming d is positive.\nAnswer: d**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 6*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 779 - 779. Solve b*r = 5*z - 2*r - 23, -13 = -3*z + 2*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - -0.1455. What is s rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = v - 995, -2*v = 5*f + 183 - 2671. Let p = f + -474. Solve 2*t + h = -3*t - p, -5*h - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-7)\/84*-4*3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -746*g**2 + 7*g - 4. Let o(v) = -3732*v**2 + 32*v - 18. Determine -3*o(k) + 14*t(k).\nAnswer: 752*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352*w + 257 = -1396*w - 843 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*h - 9150 = 110*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 1\/6*v**3 + 0*v - 1\/10*v**5 + 0 + 1\/120*v**6 + 5\/24*v**4 - 209*v**2. Calculate x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22.984 + -20\nAnswer: 2.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((65450\/(-75))\/(-22))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42568 and 29988.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u + 22. Let i be p(22). Let c = i + -100. 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: Round -0.006951254299 to seven dps.\nAnswer: -0.0069513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7831938795 and -91?\nAnswer: 7831938886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 26 = -0*m + 4*m, j - 25 = -5*m. Solve 2*q - m*q = 5*h - 25, -q = -5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1354 divided by -2.\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -42*v**2 + 1675. Let a(n) = 17*n**2. What is h(a(w))?\nAnswer: -1428*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/336 - 89*i**5\/12 - 2707*i**4\/24 + 7674*i**2. Find the second derivative of a(j) wrt j.\nAnswer: -20*j**3 - 890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 9*a**2 - 11*a + 8. What is z(-6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -546, -1089, -1828, -2751, -3846, -5101, -6504?\nAnswer: -8043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 4, -13, -28, -41?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -2\/73 (c) -3 (d) 0.4 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96282 - 61490 = -259*k + 81544. What is the highest common divisor of k and 6237?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463 + 244 + 717*k - 717*k + 13*k**2 + 237.\nAnswer: 13*k**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 equal to 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 6. Let k(p) = p**2 + 7*p + 6. Let q be k(-7). Suppose -5*y + 31 = q. Give g(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 2 = -q + 4*k, -4*q - 25 = -3*k. Sort 2, q, 0 in descending order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-961*v + 83358 - 83358)*(1 - 5 + 2) to c*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*r**2 - 307*r**2 - 551*r**2 - 652*r**2 + 3 - 14*r**3.\nAnswer: -14*r**3 - 2178*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 663 + -318. Let q be (-8)\/(-3 - (-1029)\/i). Round q to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 431*w - w**4 + 1 + 0*w**2 - 439*w as t*w**4 + i + q*w**3 + r*w + l*w**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**8\/6720 + x**7\/720 - x**6\/360 + 2*x**5\/15 + 10*x**2. Let a(z) be the third derivative of r(z). Factor a(f).\nAnswer: -(f - 2)*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 10\/7, 5, -5, -4?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -5*sqrt(117))**2 - (sqrt(325) - (2 + sqrt(325))**2) - -6*(sqrt(1300) - -5*(sqrt(1300) + 0 - sqrt(1300))))*-6.\nAnswer: -13206 - 450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + a + 2235 - 470, 0 = 2*t - 4*a - 872. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*m - 246*m + 126 + 117 - 243.\nAnswer: -391*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 - 14 - 152490*q + 152487*q.\nAnswer: -3*q - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(1331) + -1) + sqrt(1331) + -4*(-1 + sqrt(1331)).\nAnswer: -55*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324075 divided by 1108025?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + (4 - -8 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 27 = 1. Solve -y = -5*j - 0*y + 14, -v*j = 2*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132621 less than 27929?\nAnswer: 160550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 < -35936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12850, -12804, -12758, -12712, -12666, -12620?\nAnswer: -12574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 266\/4 + 5\/(-10). Suppose -372 = -3*v + u, -v - 4*u + 45 = -b. What is the greatest common factor of v and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2.173 (c) -15 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -57. Let a = -39 + 21. Let z = b + a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*a - 2*g, 4*a - 3*g + g - 24 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-15)\/(w\/((w\/w**(-3)*w*w)\/w)))**33)**(2\/79) assuming w is positive.\nAnswer: w**(-726\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 - 5*j**2 - 21*j. Let u(m) = 2*m**3 - 3*m**2 - 12*m. Let w(d) = 7*u(d) - 4*y(d). Calculate w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/55)\/(-2)*(-2)\/(-4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m + 43 + 7*m - 6*m - 41 + 37*m. What is a(1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 346 and 353266.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/7 + 1881\/77.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -111222201202?\nAnswer: -111222201101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7470769 to the nearest integer?\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-32))\/k)\/k)\/k)\/(k*k\/k**(2\/5)) assuming k is positive.\nAnswer: k**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176 a factor of 33334896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6 = -0*q + 3*q, 5*q = 20 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6553932 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 146\/4*7\/(-42) and -11\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4341 - 294*k**3 + 4341 - 318*k**3 + 465*k**3.\nAnswer: -147*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -117*s + 238. Let x be l(2). Solve -2*h - 7 = -3*r - 0, -3 = 5*r + x*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 350*l + 676. Determine n(-7).\nAnswer: -1774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*s - s - 5*g, 31 = 3*s - g. Solve -4*u = -s*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, -6, -1 in decreasing order.\nAnswer: 0, -1, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1201442 (base 5) to base 3\nAnswer: -1010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113372 is divided by 37571.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29392 and 352?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 5*k**2 + 6*k - 3. Let v be n(4). Let f = 2 + v. Suppose a = -3*y - a + 235, y - 75 = a. Calculate the highest common divisor of y and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = m + 21. Is ((-1)\/m)\/(7\/(-14721)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*b + 5*c, -4*b = 3*c - 21. Suppose 4*n = 2*h - 18, 5*n + 10 + 14 = b*h. Solve h*a = -0*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-1 - -1 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(-15)))\/i**(2\/27) assuming i is positive.\nAnswer: i**(376\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 < 1043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t**2 - 1 + 11*t**2 - 1664*t**3 + 1663*t**3 - 15*t**2. Calculate q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -971 - -2484. Let c be t + -1 + (-21)\/(-7). Suppose 0*z = 3*z - 3*q - c, 3*z + q = 1531. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*v + 897*v + v**2 - 1 + 1 - 448*v.\nAnswer: v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/150*3\/4*1520\/(-76).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 7*u**2 - 5*u - 6. Suppose -p + 5*p - 24 = 0. Let s be x(p). Suppose -j = -s*j - 9. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**5 + 6*o**5 - 6*o**5 - 2*o**5 + o**5 + 0*o**5 + (2*o**4 - 2*o**4 + o**5)*(-4 + 2 + 1).\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20664 = 5614*u - 85323 + 27391 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*1*12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -26*t**2 + 589*t - 4067. Determine n(7).\nAnswer: -1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 775*n**2 - 10679*n + 19040. Calculate q(761).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31.993 - 0.007. Let c = -10 - f. Let r = c - 21.93. Round r to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1781501.5 and -0.5.\nAnswer: 1781501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (8*(-4)\/(-24))\/((-254)\/(-3654933))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -6. Let q(s) = 13*s + 835. Let o be q(-64). Let c(f) = -20*f**3 + 10*f**2 + 19*f**o - 4 + 3*f + k*f. Give c(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 13*q**2 - 7*q + 7. Let f(a) = 1 + 7*a**2 - 6*a + 2*a + 3. Let m(s) = -7*f(s) + 4*h(s). Find the third derivative of m(n) wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 3 - 2*b - 2*b)*(-1 + 1 + 2) as t + p*b and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.1 and -24929032012.\nAnswer: -24929032005.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76305.\nAnswer: 3, 5, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*f - 2*f + 2, -s = 2*f - 5. What is the third derivative of 1 - 2*d**2 - 1 + s*d**2 - 2*d**4 wrt d?\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 7*k - 5*k)*(-56*k - 29*k - 93*k) + 2*k**2 + 3*k**2 - 3*k**2 + (0 + 1 + 1)*(k**2 + 0*k**2 + k**2) + 5*k**2 - 3*k**2 + 0*k**2.\nAnswer: -704*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4244.665 and 1.3?\nAnswer: 4245.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3659 and -0.16456?\nAnswer: 3659.16456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4586*s - 348518. Calculate x(76).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1*(-3)\/12). Suppose -3*v + 234 + 38 = l*g, -3*g = -5*v - 204. Let y be 76\/g - (-1 - -2). What is the second biggest value in 0.4, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(-2580)\/(-14). Let u = 1773\/14 - a. What is the common denominator of u and 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - n + 2*f + 20 = 0, -4*n = 5*f + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r**2 + 231*r - 33. Determine y(-18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 9:13 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -4*x + 256. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 235 = -5*o, -34 = -2*r + o + 61. Let h be (1\/((-10)\/3))\/(r\/(-128)). Factor h + 6\/5*w + 2\/5*w**2.\nAnswer: 2*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Sort 5, 9, 3, 2, -11847 in ascending order.\nAnswer: -11847, 2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b + 15. Let k = 0 - 2. Let y = -54\/17 + 307\/102. Sort b, -4, y, k.\nAnswer: b, -4, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 + -103. Suppose -2*f = -6*p + 7*p - 45, 4*p + 3*f = 145. What is the remainder when x is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from {y: 7, c: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259\/2 - -132. Let z(o) = -o - 4. Let f be z(-8). Let v(u) = u**2 - 6*u + 5. Let h be v(f). Put t, h, 4 in ascending order.\nAnswer: h, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1022664 - 9?\nAnswer: 102265a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {r: 1, v: 3, f: 5, x: 1, b: 3, c: 4}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * -0.2.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 342 = 36*p - 4*s, -5*p = -3*s + 29 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 46305500 to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -19\/3, 2\/11, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -16. Let x(g) = -10*g**2 - 8*g - 2. Let f be x(-3). What is the least common multiple of m and 17\/f + 18\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -1401, -2102, -2803?\nAnswer: -3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*s - 73*s = 0. Let i(j) = -3*j. Let o be i(s). Suppose -4 - 2 = -2*n. Solve 0 = a - o*a - n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqgggqggqgqgqqqqqg. What is prob of sequence qgg?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1695 + 1908. What is the third biggest value in 1\/2, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38347 + -190\nAnswer: -38537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-684 + 538 - (5 + (0 - 1)))?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - q - 1. Let y be d(-1). Let b(i) = -2*i - 6*i**2 + y + 5*i**2 + i. Give b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 17 - 14) + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 4:38 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148 + u + 178 - 11 - 38*u**2 - 19.\nAnswer: -38*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = 41*z - 46*z + 2*n, 5*z = -38*n + 692. What is the remainder when 2392 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -10. Suppose -g*w = -24 - 24. Calculate the greatest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*c + 1647 = -674*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 + 0.2. Let v = -2 + p. Which is the biggest value? (a) -0.5 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 2 + 33 - 28.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161.6 - 18.6. Let t = l - 142.6. Let d be 7 + 2*-1 + 0. Put -3, d, t, 1 in descending order.\nAnswer: d, 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -16. Let q(s) = 14*s + 238. Let c be q(-19). Let o = 70 + c. What is the remainder when o is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*z - 2*c, -6*z + 2*z = -5*c + 17. Let d = 83 + -80. Find l, given that -7*l**3 + 5*l**4 + 4*l**5 + 4*l + 8 - 16*l**z - l**3 + d*l**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20*71\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 - 17 = 0. Suppose 4*d - 2*j = -6*j + 16, j - 10 = -4*d. Suppose 0 = 4*n - 5*c + 7*c - 12, 0 = d*c - 8. Solve -5*m + k = n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/12*16*1. Suppose -m = 1 - d. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-3)\/30*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1469*v**2 + 2*v**3 - 5*v**3 - 1426*v**2 in the form d*v**3 + o*v + r + u*v**2 and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -8. Let s(a) = j*a - 8*a - 8*a + a. Let t(y) = 6*y - 1. Determine 3*s(u) + t(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + u - 24. Let l = u - 6. Let r = 25\/2 + -13. Is l <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - -384. What is the first derivative of -4*d**3 - 507 - 13*d + d + c - 2*d wrt d?\nAnswer: -12*d**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 39. Let q = -1 - -1.7. Let v = 0.3 - q. Which is the smallest value? (a) 2 (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72\/7? (a) 2 (b) -5 (c) -4 (d) 2\/13 (e) -1776 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9863 and -3\/263483.\nAnswer: 1844381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 4*q + 9. Let s be o(4). Let j(l) = -l**2 + 14*l - 5. Let v be j(s). Is (v\/(-28))\/(-5) + (-2147)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97083237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*l + 294450 = 294452, -9*g = 7*l - 2*l - 81 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y - 2*y + 27*y**4 + 28*y**2 - 35*y**4 - 372*y**3 + 350*y**3 in the form s*y**2 + n*y**3 + v + r*y**4 + x*y and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, -12341 in increasing order.\nAnswer: -12341, -13, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 529 = 2*g + 533, -66 = 5*f - 2*g for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.76 + 0.24. What is the nearest to -2\/5 in -5, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -10 (b) 1\/8 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.07507 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62159 is divided by 749?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/220 and -119\/287180?\nAnswer: 3158980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 7:16 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*h = -10, -2 = -31*q + 32*q - 5*h. Let w be 0 + 1 + 0 - -2. Suppose -m + 6*m = -q*o + 140, -w*m = -4*o + 177. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2227 + -1174. Let x = -9505\/9 + h. What is the common denominator of -61\/6 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -4, 2\/7, 15, -10494, 2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 - 6. Let l = -23.938 + u. What is l rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -0.19 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2308, 2389, 2470, 2551, 2632?\nAnswer: 2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -28*y + 5. Suppose -3*o + 32 + 7 = 0. Suppose 5*d + o = -2. Is h(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4746*t + 1510*t + 1589*t = -1556*t - 3731 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose -h*z - 5 = -0*a + 5*a, 4 = -2*a. Sort 5, z, -5.\nAnswer: -5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*b**2*u**3 - 3*b**2 - 2*b*u**3 - 582*b*u**2 - 35365*u**3 + 170 wrt u?\nAnswer: 1236*b**2 - 12*b - 212190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*r + 1098. List the prime factors of r.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*w - 120*w + 42*w)*((0 + w**2 + 0)*(-2*w + 4*w + 0*w) - 7 + w**3 + 7).\nAnswer: -537*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(85) - 4*sqrt(85)*-1) + -4*(sqrt(85) + (sqrt(85) - (sqrt(85) + 2*sqrt(85))) + sqrt(85))))\/((1*sqrt(5)*4 + (1*sqrt(25))\/sqrt(5))*-3).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t + 632 + 3062 + 1660 + 8*t + 2798 to d*t + h and give h.\nAnswer: 8152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -20. Let y(g) = 17*g + 5. Is 5 a factor of y(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33326 - 33291. Solve w*y - 279 = 4*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h**2 + 6*h**2 + 1330*h**3 - 11038*h + 7420*h wrt h.\nAnswer: 7980*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11623561 + 20?\nAnswer: -11623541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.3, -10\/11, -0.1, -1\/4.\nAnswer: -16, -10\/11, -0.3, -1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x\/(x\/x**(-6)))\/x*x)\/x*x*x*x\/(x*x*(x**(-2\/17)\/x)\/x*x*x*x))\/(x**1*x**(-12)) assuming x is positive.\nAnswer: x**(104\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 4*m + (1 - 2*m - 1)*(1 + 0 - 2) + m + 0*m + 0*m)*(2420*m**3 - 6096*m**3 + 1875*m**3 - 9076*m**3).\nAnswer: -65262*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7187 + -7186.99988197. Round n to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*i - 76*i = 102. Sort -4, 4, i.\nAnswer: -4, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqjqnuyu. What is prob of picking 1 u, 1 y, and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 + -0.5. Let y = 1.35608 + 1.64392. What is the nearest to y in -1\/4, -2\/11, l, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 p when three letters picked without replacement from ponopoonnm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from pdpdpddpddpdd.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106864.\nAnswer: 2, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245994682?\nAnswer: 2, 127, 131, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/3 - 19*j**3\/3 - 35*j**2\/3 - 17*j\/3 = 0. Calculate j.\nAnswer: -17, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 119.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = -2*t. Let x be 0\/(t\/((-12)\/(-4))). Suppose -2*i + 138 = -x*i. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473502 and 84588?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.224 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {b: 1, w: 2, q: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*n + 681, -4*d - 387 = -3*n + 164. Let x = d - -229. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -731*x + 708*x = -920. Solve 12*z - x = 32*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49012325 or 49012323?\nAnswer: 49012323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-6))\/(2233\/3828).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b. Let q(c) be the third derivative of -3*c**2 + 3\/20*c**5 + 0*c + 0 + 0*c**3 + 0*c**4. Give q(p(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 9*j - 8. Let v be h(-8). Solve v*b + 12 = 3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 11:58 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 31*i - 32*i. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -i + 17, 3*i + 8*h = 3*h - 29. Let n = 44.31 - 44. Let p = n + 2.69. What is the closest to 0.3 in i, 2\/13, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37041 is divided by 1122.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1 = 5*m - 2, 2 = -2*m - 2*g. Let h(p) = 7*p + 1. Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 6*r**2 + r**2)*(-118 - 2*r**2 + 123 + r**2) + 4*r**4 - 2*r**4 + 0*r**4.\nAnswer: 6*r**4 - 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:59 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722 - 252 = 94*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20471 - -29045. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315746829 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34 by -1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22160634.\nAnswer: 2, 3, 353, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwwn when four letters picked without replacement from {n: 2, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -17.327243.\nAnswer: 17.227243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 28*c**2 - 62*c + 2281. Determine y(10).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 45*m = -14 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -110\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1480)\/(-18) - (-2)\/(-9). Let b = -55 + h. Let s = -11 - -15. Solve -s*i + 11 = b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-20)\/385*-38. Let b = l + -20\/77. What is the biggest value in -0.24, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 14, e: 4}. What is prob of sequence eej?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**3 - 4*i**2 - 12*i - 19. Give s(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1 + (-1)\/1). Does 14 divide 594\/9 - (-4 - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -5. Let m = i + -4. Let h = -5 - -3. Put m, 1, h in decreasing order.\nAnswer: 1, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -20, -58\/17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -1\/546*r**8 + 0*r**5 + 0*r**4 + 3*r**2 + 0*r**3 - 4\/1365*r**7 - 1\/780*r**6 + 0*r + 0. Factor l(x).\nAnswer: -2*x**3*(2*x + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z. Let j(a) = -a**3 - 10*a**2 + 10*a - 9. Let n be j(-11). Let i(q) = n*q - 7*q - 12*q. What is -2*i(c) + 9*x(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -1, -65, -2\/21, 5 in decreasing order.\nAnswer: 5, 0.4, -2\/21, -1, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*s - 227*s + 5155*s + 187970 + 263482 = 0 for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/15606 and -193\/454410?\nAnswer: 7724970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2349537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 19. Let h = -15 - x. Solve 2 = r - 0, 0 = 2*z + h*r - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**16*(k*k*k\/(k*k**7)*k)\/k*k\/(k*k**3)*(k**5\/(k*(k*(((k\/(k**0*k))\/k)\/k)\/k)\/k*k))\/(k**(-1\/6)\/k**3) assuming k is positive.\nAnswer: k**(-185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 729 + -681. Let l = q - 48.000000241. Round l to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 4. What is the remainder when 25 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802 + 21882 = 620*j for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*66\/(-7) + (1279 - 1261)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - -1*(-1 - -2). Let m(j) = -j + 2. What are the prime factors of m(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/16 and -39\/19.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:52 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:30 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 + 3*o + 3. Let w be 3\/9 - (-22)\/(-3). Let t(f) be the second derivative of 2\/3*f**3 + 2*f**2 + 4*f + 5\/6*f**4 + 0. Calculate w*x(i) + 5*t(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40110 and 45840.\nAnswer: 320880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 0*h**2 + 3*h**2)*(-234 - 657 - 122).\nAnswer: -6078*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f**2 - 42*f**2 - 19*f**2 to the form t*f + k*f**2 + q and give k.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n + 0*n - 2*n)*(18*n**2 - 44*n**2 - 2*n**2 + 2*n) in the form h*n + b + v*n**2 + a*n**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 259 + -206. Let x(r) = -r**2 + 50*r + 164. Let m be x(j). Solve -m*u = -5, 0*d - 5*u = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365020575 to the power of 1\/2, to the nearest integer?\nAnswer: 19106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250550 (base 6) to base 13.\nAnswer: -a17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*t + t + 11, 3*l = 3*t + 15. Is (-6 - 320\/(-24))\/(l\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299742109 to the power of 1\/2, to the nearest integer?\nAnswer: 36052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/18 + (-61)\/(-9). Let o(c) = c**3 - 3*c - 2. Let w be o(-2). Let a = h + w. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195475.\nAnswer: 5, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2068 divided by 10\nAnswer: 1034\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**4 - 2*z**4 + 3*z**4)*(-4 + 4 - 1) - 11*z**4 - 28*z**4 + 44*z**4 - 1 - 5*z in the form m*z + q*z**3 + n + a*z**4 + f*z**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.5927 - 29.8643. Round z to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -5*m + 432. What is the remainder when m is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/170 and (-413)\/(-780) + (1 - (-66)\/(-78))?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, -9, 5 in descending order.\nAnswer: 5, 1, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cct when three letters picked without replacement from {t: 1, x: 1, c: 2, q: 1, s: 1, y: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3) - (-15)\/(-45). Let i be (0 - x)\/((-35)\/4655). Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s - 6. Find the common denominator of 53\/4 and s\/(-10)*(-1155)\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11499864 divided by 2?\nAnswer: -5749932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 1 v when three letters picked without replacement from viopuvv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.17154ng in tonnes?\nAnswer: 0.00000000000001217154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15351646 bigger than -15351643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x - 12. Let f(z) be the first derivative of z**3\/3 + 3*z**2\/2 + z - 1. What is the units digit of f(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, 6.5, -1 in descending order.\nAnswer: 6.5, -1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3817, 141, 6739, 15977, 27855, 42373?\nAnswer: 59531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 62905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -16760?\nAnswer: -16770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82287246 a multiple of 4006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4632 + -64891\/14. Find the common denominator of b and -81\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/20 + q**3\/6 + 5*q**2\/2 - 5*q. Let j be u(0). Suppose -a = 2*f + 4*a - 14, -j*f + 62 = -a. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.03.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -20*m + 15*m. Suppose -7*p + 136 = -m*p. Let q be (-5)\/(30\/4) + p\/6. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g = -18*g - 16. Let u be 7\/(14\/g) + 0. Solve 5 + 3 = u*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btmbbtxxxxxxxxmbb. Give prob of sequence bx.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10602092.\nAnswer: 2, 131, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 6. Suppose -3*b = -4*b, -5*p = 2*b + 35. Let j be n(p). Let y = -9 + j. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 0. Let b = 1 + c. Let z be ((-4)\/(-10) - b)*10. Solve 10 + 6 = z*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 392*y\/11 + 19208\/11.\nAnswer: 2*(y - 98)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 6*d - 10. Calculate m(10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -64.8. Is -59\/5 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 17 + 55 + 18 + (2 + 1 - 1)*(1 - 1 + q).\nAnswer: 3*q + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-236)\/(-5) + (-32)\/(-40). What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 e when three letters picked without replacement from mmekm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o + 1389651 - 1389644 - 24*o.\nAnswer: -34*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 296, 1190, 2680, 4766, 7448, 10726, 14600?\nAnswer: 19070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 - 2*a**2 + (-2 + 2 - a**2)*(-1 + 2 + 1) + 0*a + 0*a + a**2 - 40318 + 40318 - 81*a**2)*(-2 + 2*a + 2).\nAnswer: -168*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*q - 288, 5*f - 3*q - 310 = 34. Let r = 99 - f. Suppose 0 = -5*o + 4 - r. Which is the third smallest value? (a) 1 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 12 = 0. Suppose 13*j = 5*j - 80. What is the least common multiple of (-218)\/j + ((-155)\/(-25) - 6) and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99559, 99284, 99009, 98734, 98459?\n\"Answer: -275*y + 99834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygg when three letters picked without replacement from gzyg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 86*h - 11. Calculate u(-86).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j. Let f(l) = 11*l + 65. What is i(f(o))?\nAnswer: -33*o - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200 divided by 75.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = 3*v + 41. Let b = 113 + v. Suppose -3*o + 56 = a, -3 = -o + 5*a + 5. Calculate the remainder when o is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:37 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 3. Suppose -50 = -t - 24. Let z be (-1)\/((-13)\/(-2)) + (-48)\/t. Sort z, -5, c in increasing order.\nAnswer: -5, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 25*f**2 + 258*f + 46. Determine a(33).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (26 + -47) - 53.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) + (-1120332)\/(-36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*n - 1 + 314 + 857. Solve n = -2*u + x, 3*u + 3 = -u - 3*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a. Suppose -3*b - 263 = 4*s, 2*s + 3*b = -2*b - 121. Let f = s + 70. Let c(j) = 23*j**2 - 5*j**f - 9*j**2 - 6*j**2. Determine n(c(g)).\nAnswer: 57*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1108 + -1591. Let q = -482.9283 - d. What is q rounded to three dps?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*u + 4*u + 12 + 8 wrt u?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.1 (c) 10 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -54. Suppose -v + 8 = c. Suppose 2*l + 5 = 15. Solve -l*w + 5 = -r - 13, 4*w - 18 = v*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -307495 + -0.6390269\nAnswer: -307495.6390269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/((-9)\/(-18)*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5482524068.\nAnswer: 2, 7, 643, 304517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 7*i**2 - 231*i - 1967. Give h(-9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 33, 53, 91, 153?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 6, a: 5, z: 4, c: 4}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**5\/3 - 1190*j**4\/3 + 765*j**3 + 15290*j**2\/3 + 11800*j\/3 = 0.\nAnswer: -2, -1, 0, 5, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818.114 rounded to the nearest integer?\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:00 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 162540380 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3 and -53\/2413.\nAnswer: 7239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3795215371 to the nearest integer?\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 3*j**2 - j + 2. Let n(s) = s**3 + 14*s**2 + 30*s + 70. Let q be n(-12). Determine y(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 6 - 2*h + 5. What is z(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = -7*z + 9744. What is the tens digit of -1 + z - -6 - 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5 = -4. Let v be (q - (8 - 3)) + 1. Put 9, v, 4 in descending order.\nAnswer: 9, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -29*r + 2992. Calculate w(66).\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/(i\/i**(-6\/5))))\/i))\/i)\/i**(-15)*(i**(1\/7))**(21\/4) assuming i is positive.\nAnswer: i**(291\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 16 = -46. Let v = -221 - -165. Calculate the smallest common multiple of b and v\/14 + 34\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**2 - 2*m - 11*m**2 - 8*m**2 + (2 - 2 + 1)*(-4 + m**2 + 4) - 3*m**2 + m**2 + 0*m**2 - m**2 + 6*m**2 - 3*m**2 as u*m + x + y*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 262 - y**3 + 10*y**4 - y**3 - 259 to the form b*y**3 + o + q*y + r*y**4 + g*y**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*i - 3*i**3 + 9*i)*((-i - 4 + 4)*(6 - 3 - 11) - 2*i + 5*i - i) as l*i + p*i**4 + b*i**3 + a*i**2 + r and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2\/15)\/(6\/18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-7)\/(-266)*-6\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:28 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 221 = 5*q, -q + 143 = -5*l + 707. Suppose -10*u = 120*u. Let y = l + u. What are the prime factors of y?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.010604 - -0.01. What is t rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.66 + 0.66. Let x = 46.99976 + k. What is x rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/2 - 7\/(-14). Let l be y\/5 - (-4)\/10. Solve l*i - 2 - 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3173869 and 168152.\nAnswer: 25390952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149563 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (216 - 208) + -5 + 9 + (2 - -47) + -2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1984 + -1304. What is the remainder when 329 is divided by 294\/10 + (f\/50 - 13)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.101 - 0.101. Let j be (-20)\/(-1) - (-1 + 1). Suppose -2*v - 3*v = j. What is the nearest to f in v, 4\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1830 by 122.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**29*r)\/r)**17*(r\/(r*r**(-41)*r*r)*r)\/(r**(-1)*r) assuming r is positive.\nAnswer: r**533","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - -54 - 79 - ((-15 - -5) + -3).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 497, 2, -2\/9, -1, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110725*h**2 + 557*h**4 + 110725*h**2)*(-4*h + 2*h + 4*h) + (h**4 + 0*h**2 + 0*h**2)*(h - 4*h + h).\nAnswer: 1112*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = -21. Let l(d) = 5*d + 7. Let k(u) be the first derivative of 3*u**2\/2 + 3*u + 7. Let b(z) = j*k(z) + 4*l(z). Determine b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {u: 5, e: 2, y: 1, q: 1, h: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z**3 + 2*z)*(0*z - 2*z + 0*z) + (-3*z**2 - 2*z**2 + 3*z**2)*(14*z**2 - 2*z**2 + 0*z**2).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/30*(-42)\/28 + -1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) 0.03 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(4*a - 4*a + a)*(2 - 7 + 2 + (0 - 1 + 0)*(-2 - 1 + 2)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*w**4 + 2*w + 2*w**3 - 3*w**2 + 4*w**4 - 3 + 1 + 8*w**4 - 2*w**4 as q*w**4 + i*w + t*w**2 + x + u*w**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292 - 285. Let t(b) = -5*b**3 - 7*b**2 - 2*b - 7. Let x(m) be the first derivative of -m**4\/2 - m**3 - m**2\/2 - 3*m - 2. Calculate i*x(j) - 3*t(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 + 7*s - 5. Let d be l(-3). What is the highest common divisor of 70 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*((-22)\/(-4) - 5). Factor 2\/5*h**l + 6\/5*h**4 - 2\/5*h**5 - 6\/5*h**3 + 0*h + 0.\nAnswer: -2*h**2*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, 7, 14 in descending order.\nAnswer: 14, 7, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17*3\/102 + (-41)\/2. Which is the closest to -0.1? (a) 0.4 (b) 2\/39 (c) i (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -374*x + 195 + 235*x - 955*x - 477*x - 797 wrt x?\nAnswer: -1571","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32610001*u**2 + 186197992 wrt u?\nAnswer: 65220002*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 112 - 31 + 13*b + b**2 - 24 + 0*b - 42. Determine p(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472672 (base 9) in base 12?\nAnswer: 118518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9376 + -8395. Calculate the least common multiple of g and 11.\nAnswer: 10791","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Let g = 1 - -1. Suppose 4*p = -g*s + 6*s + 12, 5*p = 2*s + 12. Is p less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = 4. Let p be 2 - ((u - 0) + -1). Suppose 2*m + 6 = 0, -m = p*j - 2*m - 11. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 5*k - g, -2*k + 7*k - 3*g - 149 = 0. Suppose 2*o + 4*j + 16 = 0, -k = -o + 5*o + 4*j. Which is bigger: o or -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/40 and 109\/748.\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 31*z - 430 = 46*z. Let a(g) = -g**2 - 1. Let m(l) = -22*l**2 - 5. Calculate z*a(t) + m(t).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 340232 (base 7) in base 6?\nAnswer: 1142242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5186659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6274\/10787 + -60\/161. Is 2\/7 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itt when three letters picked without replacement from iciitxtczscciic.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*x**6 + 2*x**2 + 6.\nAnswer: 9120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Suppose t - m*t + 70 = 0. Suppose -5*d = -0*d - t. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 16791?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*h + 676, 4*h + 5*y - 16 = -660. Let g = 176 + h. Solve 18 = -3*s + 3*u - 12, 0 = 2*s + 4*u - g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**3*m**3 + 14851*a**3*v - 3*a**2*m**3 - 2*a**2*m**2 - 10196*a**2*m - 7*a*m**3*v wrt v.\nAnswer: 14851*a**3 - 7*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*g - 1. Let f be 1\/((-4)\/(-16)) + 30. Suppose -4*i = -4*d + 4, f + 11 = g*d + 5*i. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 1. Let v(w) be the third derivative of 7*w**5\/60 + w**3 + 4*w**2. Let m(y) = -6*o(y) + v(y). Let b(r) = -r**2. Calculate m(b(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 14.\nAnswer: -29\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l + 44. Let j be c(-5). Suppose -j*t - 478 = -5*z, -z + 3*t + 285 = 2*z. What is the remainder when z is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose -o*n + 20 = n. Determine b so that -2*b**4 + 3*b**5 - 2*b**5 - 2*b**5 + 2*b**n + b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 9. Let t be f(5). Let a be 9\/2*(-12)\/(-9). Let o(z) = -2*z + 8. Let n be o(a). Sort 0, t, n in increasing order.\nAnswer: n, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**3 - 1724504*i**2 + 172420400*i - 4310260000 = 0.\nAnswer: 50, 431026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13718 - 9653. Which is smaller: -0.2 or b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 1. Let x(s) = s**2 - 5*s - 5. Let r(d) = -5*a(d) - x(d). Let f(o) = 2*o**2 + o. What is f(r(j))?\nAnswer: 2*j**4 - j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -4. Suppose 2*l - v = -l. Suppose 0 = l*d - 4*d + 106. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/2)*s)\/s*s**(1\/3))\/(((s*s**(-3\/7))\/s)\/(((s\/(s*s\/s**1))\/s)\/s)))\/((s*s**(1\/5))**(2\/9))**(-1\/20) assuming s is positive.\nAnswer: s**(-761\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-4)*(-190055316)\/(-33414). Let f = 54035 - p. Let h = f - 517897\/55690. Calculate the common denominator of h and -27\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - ((-3 - -4) + -1). Let b(r) be the second derivative of 0 - 1\/20*r**5 - 1\/4*r**4 + 1\/2*r**y - 2*r - 1\/6*r**3. Determine b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from fccmcmcmmcmcmmcmmcm.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5316 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, 1\/3, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760 = 742*y - 894*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 5 (c) 2 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.97 less than 786.4?\nAnswer: 893.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6664.5 + 6664. Which is the closest to -2? (a) 5 (b) -3 (c) z (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -582*g**7\/7 - 4*g**5\/5 - 1070*g**3 - 3191. Find the third derivative of u(f) wrt f.\nAnswer: -69840*f**3 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 43*y**2 + 52*y - 398. Suppose -p - 4*p - a = -648, 3*p + a - 388 = 0. Calculate the remainder when p is divided by d(42).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2762101 (base 8) in base 12?\nAnswer: -317001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 6*q - q + (-6*q - q + 2*q)*(-4 + 1 + 2 + (-4 + 4 + 1)*(-6 + 3 + 1) - 1 + 1 - 5).\nAnswer: 43*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 333 = 4*y + 59, -2*y = -4*c - 134. What is the remainder when 335 is divided by y?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 - 3*c**2 + 4*c - 2. Let s(v) = 3*v**3 - 4*v**2 + 3*v - 2. Let y(x) = -2*h(x) + 3*s(x). Suppose -8 = 4*z - 32. List the prime factors of y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/(-6)*54\/(-5094) and 1\/10.\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 120. Let k be j(25). Let l = k - -42. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6*-2)\/(-3) + 1. Let d be (-1)\/(-4) + n\/20. Let p = 6 + -4. Which is the nearest to p? (a) 2\/5 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5764 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1441134 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -112*g**2. Let k(w) = -12*w - 4*w + 8 + 5*w - 4 + 16*w. Calculate k(c(y)).\nAnswer: -560*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -2\/11, -0.33, 0.3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876 is divided by 228.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 139, 146, 157, 172?\n\"Answer: 2*f**2 + f + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efki when four letters picked without replacement from cfcqffckeqecif?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-4 + 17 - 26).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 4*y + 1. Let n be s(-3). Suppose -q + 129 = -4*l, -l - n = 3*l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:39 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.7 + -1.7. Let v = n - 5. What is the second smallest value in 2\/15, v, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23670269 divided by -3.\nAnswer: 23670269\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-4*-4*sqrt(99)*3)**2 - sqrt(99)*-3*-3*-3))*-1.\nAnswer: -228099 - 81*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2. Let i(n) be the second derivative of -n**3\/6 + 5*n. Calculate w(i(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 n, and 1 v when four letters picked without replacement from {x: 1, v: 5, n: 1, s: 3, p: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13196065 and -5?\nAnswer: 65980325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3233120 + 33?\nAnswer: -3233032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48612 and 133851?\nAnswer: 2168921604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*2*sqrt(5).\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 430.6 to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5136 divided by -5136\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52 + 1cc76?\nAnswer: 1ccc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 406775*y**3 + 824777*y**2 wrt y.\nAnswer: 2440650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -7*l**4 - 33*l**2\/2 - 14. What is the second derivative of y(z) wrt z?\nAnswer: -168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -55*m + 3. Calculate d(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Let n(y) = y + 3. Let u be n(-6). What is the closest to u in l, 0.1, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123790, -123791, -123802, -123829, -123878, -123955, -124066?\nAnswer: -124217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/103790 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1580 + 6385\/4. Find the common denominator of 1515\/(-120)*2*6\/132 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 14*z**2 + 126*z - 53. What is the hundreds digit of h(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5175 in -4, -5, -187, -0.8, -0.3?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*l + 4 + 36 = 0, 0 = k - 5*l. Let h = -13 + k. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3756.771kg to nanograms.\nAnswer: 3756771000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - c + 1. Let n be i(-2). Let g(m) = -2*m - 5. Let u(l) = -9*l - 30. Let x(a) = -6*g(a) + u(a). What is x(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1046257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/18986 or 1?\nAnswer: -1\/18986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249975167 is divided by 12285.\nAnswer: 12272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*g - 3, -40*g + 38*g = k - 11. Solve 3*r - 5*y + 6 = 2*r, -y = k*r - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 1 = g - x, -x - 1535 = g - 1524 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 11408711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 44. What is the greatest common divisor of w and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - 2\/8. Let s = 0.4 - 0.3. What is the closest to 4 in -1\/6, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 54 = -r. Suppose r + 39 = 3*g. What is the highest common divisor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 16 = -4*u, -u = 2 + 2. Let q = 76 - 72. Suppose q*x + w + 0*w = 113, 3*x + 4*w - 75 = k. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/4 - 535*c**2\/2 - 1540*c + 4160.\nAnswer: -5*(c - 2)*(c + 8)*(c + 208)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -739 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**7\/1120 + a**6\/160 - a**5\/40 + 46*a**3 + 150. Let i(r) be the third derivative of n(r). Determine c, given that i(c) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 4*z - 3*d, 0*z - 170 = -2*z + 2*d. Calculate the remainder when 2248 is divided by z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/4 - 13101*h - 3418935\/4 = 0 for h.\nAnswer: -65, 17533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1110, 2 in descending order.\nAnswer: 3, 2, -1110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2 + 8622*i + 8619 = 0.\nAnswer: -2873, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1290 and 2709.\nAnswer: 27090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (66\/(-45))\/11 + (-8)\/30. What is the fourth biggest value in 2, -0.8, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxjejxxxejjxjxxax. Give prob of picking 3 x and 1 e.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23221 (base 4) in base 9?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2615 divided by -5?\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 97, 99, 103, 109, 117, 127, 139?\n\"Answer: l**2 - l + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153368.8 grams in nanograms?\nAnswer: 153368800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -1.2. Let r = i + 1. Let m be ((-8)\/(-40))\/((-2)\/(-4)). Which is the biggest value? (a) r (b) m (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.07, 5\/3, 119576 in descending order.\nAnswer: 119576, 5\/3, 2\/5, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 102 - 43 + 14 = -4*x - 123, m - 35 = -16*x for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*b + 32 + 71, 2*b + 4*x = -68. Let d be 21\/b + 27\/36. What is the nearest to d in -2\/17, -6, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12960 divided by -405?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) -5674 (c) -1 (d) 1\/3 (e) 0.2 (f) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -354\nAnswer: 5\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*o)*(4094*o - 4 + 102*o**2 - 4091*o + 6).\nAnswer: -204*o**3 - 6*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1046 or -171871?\nAnswer: -171871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**3\/3 + n**2 + 4*n + 18. Suppose 2*f - 2 = 3*f. List the prime factors of h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2. Let i = 0.14801 - 0.24801. What is the nearest to i in u, 2\/3, -7\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-25)\/(-5) + -3)\/((-2)\/(-26)) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 2*l = 48*s + 10, 2*s - 13 = -5*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*w)*(8*w + 5 - 5) - 1 + 2*w**2 + 1 + (1 - 1 - 4)*(w - w + w**2).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1800 (c) 5\/6 (d) 1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147825 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -1. Let l be ((-350)\/(-21))\/(2\/t). List the prime factors of 1 + 1 - l\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 2. Let s be n(8). Let z(a) = 8*a**2 + 2. Let q(b) = 17*b**2 - 7*b + 13. Let u(w) = q(w) - 2*z(w). Give u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -66*h**3 - 303*h**2 + 5*h + 15. Let d(f) = 66*f**3 + 303*f**2 - 4*f - 12. Let q(l) = -5*d(l) - 4*y(l). What is the third derivative of q(t) wrt t?\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 2*h - h - 5*j, -6*h + 4*h + 13*j = 10*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:11 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (8 + 1 + -1 - (66 - 60))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 792*b - 34. Let h be n(-4). Let l = -2039 - h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24070072*t - 24070072*t - 298*t**3.\nAnswer: -298*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*i - 4*x, -2*i + 3*x + 22 = -5. Let c be i\/9*1*99. Let b = c - 27. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 146 - 70. Suppose 4098 = -11*q + 1172. Let i = 286 + q. Calculate the remainder when u is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -688*r - 955699 + 955699.\nAnswer: -688*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + -4*((-12295)\/20 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 1. Let j be 3\/(-2)*(-24)\/(-36). Let t(p) = 17*p + 26. Let i(u) = j*t(u) - 4*d(u). What is the units digit of i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 5:50 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o - 11*o - 4224 = 0. Calculate the highest common divisor of 99 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-114)\/190 - (-1)\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*u - 36, -3*u = 2*c + 2*c + 16. Let y = -7 - c. Suppose 3*q - 10 - 50 = y. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s + 5. Let y(d) = -13*d - 4. Let p(t) = 4*o(t) + 5*y(t). Let u(f) = 1356*f**2. What is u(p(m))?\nAnswer: 1356*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9020233*w**2 + 44*w - 44*w.\nAnswer: -9020233*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 - 29*(-1)\/(-20). Let s = t - -9\/5. Factor s*h**2 + 0*h - 3\/5.\nAnswer: 3*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 12. Let g be v(14). Let x = g + 72. Is 2724\/x + 2\/(-7) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**2\/6 - 741875*f\/2 - 1112815\/3 = 0.\nAnswer: -1, 445126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 3*u - 7*u - 83*f + 135 + 32, 0 = -u + f - 54 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -54. Let v be (13\/n)\/(2\/234). Let b = v - -121. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1123145 * 0.3.\nAnswer: 336943.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20) + 0 - 5*(sqrt(20) + sqrt(5) + sqrt(5))**2).\nAnswer: -1600 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2. Let a(i) = -220*i**2 + 121*i - 121. Let o(w) = -11*w**2 + 6*w - 6. Let y(x) = 6*a(x) - 121*o(x). What is y(m(s))?\nAnswer: 44*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*y + 31, 42 = -2*y - 176*x + 167*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.056494*-0.05\nAnswer: -0.0028247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2, -3, 282?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from phpppphppp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -344444.877 to the nearest 10.\nAnswer: -344440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3165306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1296 - -3616. Let b = 2321.497 - y. What is b rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 816 divided by 1919\nAnswer: 816\/1919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26391671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5300701*-0.43.\nAnswer: 2279301.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 525055127 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.7 + 4. Let h = k - 0.4. Which is the third smallest value? (a) h (b) -2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-13)\/(13\/4). Let r(i) = -5*i - 115 + 111 - 7*i**2 + 2*i**2 - i**3. What is r(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 27. Let q = j + -74. Suppose q = -r + 4*r + 15. Which is greater: -19\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, n: 1, i: 1, c: 3, t: 2, f: 1}. What is prob of sequence xxfn?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66347999 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: Divide -69846 by -6.\nAnswer: 11641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 10) to base 5\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-4 - (7 + (3 - 6) + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 3*w**2 - 4*w + 5. Let h = 123 + -119. Let a be t(h). Let i be 3\/(-114)*-2*2. What is the biggest value in 4, a, i, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let g(y) = -13888745*y**2 + 2*y. Calculate g(m(z)).\nAnswer: -13888745*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06429898 to 4 decimal places.\nAnswer: 0.0643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhggghgmgtgg. Give prob of picking 1 t, 2 h, and 1 g.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + f - 6 = 0, 5*r - 33 = -3*f - 31 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188 - 94 - 65*j - 97)*(3*j + 2*j - 2*j) + (-j - 4*j + 4*j)*(5*j - 3*j - 4*j) - j**2 - 2*j**2 + 4*j**2 - 2*j**2 - 3*j + 3*j.\nAnswer: -194*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.3, 222.\nAnswer: -0.3, 2\/11, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1448336810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2556\/1136 - 18382\/(-8). What is the highest common factor of 50 and m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 16*b**2 + 1 - 2*b + 74*b**2. What are the prime factors of y(1)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -7 (c) -0.5 (d) -2\/13 (e) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 168*t**2 - 309*t - 1554. Let z be x(82). Factor 9\/2*s**3 + 3\/8*s**z + 81\/2*s + 243\/8 + 81\/4*s**2.\nAnswer: 3*(s + 3)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/42*3 - (19 - 1647\/126)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2522797989?\nAnswer: 3, 157, 5356259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4 = -3*w - 1, -5*w + 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46438 divided by 31.\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 56*l**2 - 4972*l - 222. Determine i(89).\nAnswer: 846","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -97\/3. Suppose -3*h + 10 = 2*b, b + 3*h + 10 = 3*b. Put o, -9, b in descending order.\nAnswer: b, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 8 (c) 0.2 (d) -0.4 (e) -1\/2 (f) 164\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -137\/10? (a) 0.1 (b) -2 (c) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(57)\/sqrt(3) - sqrt(19))*2 - -6*(sqrt(1216) - sqrt(1216)*-1))**2.\nAnswer: 175104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -12. Suppose c*i - 653 = -206. Calculate the remainder when i is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {d: 1, q: 7, o: 2, j: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - 11*f - 2. Let j be i(-5). Find the second derivative of j*z**4 - 113*z**4 - 48 - 2*z**2 + 3*z + 39 wrt z.\nAnswer: -1020*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - -21. Suppose l + 27 = 2*c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32501, 65003, 97505, 130007?\n\"Answer: 32502*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-144) - (-7)\/(63\/2). Find u, given that w*u**4 + 0 - 1\/4*u**2 + 1\/4*u - 1\/4*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2. Suppose 7*p + 54 = -2*p. Let b be (p\/(3 + -5))\/((-3)\/(-2)). Let q(u) = -14*u + 10*u + 4*u - u**b. What is t(q(r))?\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 579 - 9841\/17. Which is the second smallest value? (a) 1\/8 (b) o (c) 0.2 (d) 2\/115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(130))\/((sqrt(30) + 1*sqrt(30))\/sqrt(3)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**5*q**(3\/4)*q**4*q*((q*q*q**(2\/3))\/q)\/q*(q**(-7)\/q**4)**(-2\/9) assuming q is positive.\nAnswer: q**(535\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y - 8 + 17 + 90*y + 172*y.\nAnswer: 237*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 7*h + 6. Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + (-2)\/6)\/((-22)\/(-33)). Let t(f) = -f**2 + 2. Let a be t(b). What is the units digit of (a - (-80 + 4)) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 1222*h\/7 - 4920\/7.\nAnswer: 2*(h - 615)*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 0.3, -4, 1259, 1\/2 in descending order.\nAnswer: 1259, 1\/2, 0.3, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/50 - 41*b**4\/15 - 68*b**3\/3 - 344*b**2\/5 + 1048*b - 2. Find r, given that t(r) = 0.\nAnswer: -2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*f - 13, -3*f + 6 = -4*p - f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 114. List the prime factors of i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 17. Let j(o) = -54*o + 3. Give j(y(s)).\nAnswer: 108*s - 915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575*z - 548*z + 27 = 0. What is the nearest to 0 in z, -3\/10, -3, 6?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -449*n**2 - 1783*n + 62. What is w(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 367118 and 10.\nAnswer: 1835590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201790 and 4987774?\nAnswer: 423960790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -95287.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340010 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*x - 17*x**3 - 10*x**3 - 6*x**3 + 50*x**3 - 7*x**3 to i*x**2 + n*x**3 + d*x + h and give d.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 6. Let p(v) = 130*v - 28. Determine 3*a(d) - p(d).\nAnswer: -124*d + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1523?\nAnswer: -1523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 8, 46, -1420 in decreasing order.\nAnswer: 46, 8, -0.1, -4, -1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 - -0.2. Let d = -11.9 - -12. Which is bigger: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 212 - 369 + 156. Let f(m) = -3*m**3 + 11*m**2 - 4. What is -f(w) + 4*x(w)?\nAnswer: -w**3 - 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 - 10*q + 3. What is f(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 4) + -2 + (-4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(2*c**2 - 2*c**2 + c**3) + c - 3*c**3 - c + (-4*c + 3*c - c)*(42*c**2 + 10*c**2 + 15*c**2).\nAnswer: -136*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.37 and -28.\nAnswer: -22.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - 5*g)*(0 - 1 + 3)*(10 + 1 - 3).\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 118*o - 105. Let v(r) = 39*r - 38. Determine -3*b(u) + 8*v(u).\nAnswer: -42*u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -145 and -0.7.\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y - y. Calculate the common denominator of (-314)\/(-24) - y\/(-6) and 59\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in minutes?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26009.9990325 + 26010. Round k to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/15)\/((((r*(r\/(r\/r**(-20)*r))\/r)\/r*r)\/r)\/r)*(r*r**19)\/r**(-6\/13) assuming r is positive.\nAnswer: r**(8501\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*a = -6078, d + 2434 = 3*d - 2*a. Let j = d - -3514. Suppose -4*z - j = -20502. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 581542 or 581541?\nAnswer: 581541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96 by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 5}. Give prob of picking 1 b and 1 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 524 (c) -5\/4 (d) 0 (e) -1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 11016.\nAnswer: 55080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 + 12*m**2 - m**2 - 8*m**2. Let f(q) = -24*q**2 - 3. Determine f(v(l)).\nAnswer: -24*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g = -3*z + 91, -g + 60 = 2*z. Let h = z - 9. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvtkxxqvqktvt. Give prob of picking 1 x and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 5*v - 10. Let t be z(-5). Suppose 2*j = -4*w - 0*w + 34, -3*j = -t. What is the units digit of -6 + w + 2\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*g + 83 = 3*g, o = 3*g + 29. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**2\/2 + 16*r + 3906. Give a(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1663, 3327, 4991, 6655, 8319?\n\"Answer: 1664*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 + -114. Put a, -4, 1\/3, -5 in increasing order.\nAnswer: -5, -4, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 643584.\nAnswer: 1930752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Let b(f) = f + 5. Let o be b(-4). Is o < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 18130170?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3554*w + 3555*w - 6 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-254)\/(-36) - (-8)\/(-144)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:14 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 - 10 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -25. Let p = 41 - g. Let z = p + -16.9. Is 5 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000579223 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1435?\nAnswer: -5740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 25602?\nAnswer: -25603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 25*x + 91. Let p be v(3). Suppose -8 = p*f - 29. Solve -f*z = 16 - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65010, 65012, 65014, 65016, 65018, 65020?\n\"Answer: 2*p + 65008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*s = -152, -s - s = -4*q + 176. Let g be ((-100)\/60)\/(43\/q - 1). Is 9805\/7 + (-20)\/g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12424.68 and 38?\nAnswer: 472137.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1 - (-95 - -72 - -67)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.83 rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/12293 - -49158\/86051. Put 0.015, g, -29\/4 in decreasing order.\nAnswer: g, 0.015, -29\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1012 + -681. Let g = -182 + a. What are the prime factors of g?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 + -4 + -6 + 1 + -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (0 + 1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r + 4. Let k be z(3). Let p be (14\/(-18))\/(k\/(-42)). Solve p*t**3 - 4\/3*t**2 + 0*t - 10\/3*t**4 + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-412 + 398)\/((-10)\/(-75)*5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2903907 and 2337?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = 4. Suppose 28 + 7 = p*y. Let h = 43 - y. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -140, -249, -378, -527, -696, -885?\n\"Answer: -10*o**2 - 59*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l - 52*l = 156. What is the common denominator of (-35 + 39)\/(-3*(-36)\/l) and -19\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**4\/12 - k**2 + 6*k. What is the derivative of y(o) wrt o?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:12 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 1, b: 1, h: 1, q: 1, z: 2}. What is prob of sequence bhz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-14 - (-220)\/15) + (-1654)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 4. Let q be x\/2 + 2 + 40. Suppose -k = 5*r - 115, -4*r = k - 52 - q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32412856 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*w + 10, -2 - 2 = -3*v + w. Suppose 0 = -0*k - k + v. Suppose -k*d + 2*n = d - 36, 4*n = -5*d + 58. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 62 - 50 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3633 and 2070291.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooosdoodssos. What is prob of picking 2 s?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -5 (c) 88244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80026754 divided by 52033.\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -393.\nAnswer: -393, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4 - 4)*(2 + 2 - 2) + 9*d - 7*d - 1 + 0.\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 471, 5, -195 in descending order.\nAnswer: 471, 5, 4, -3, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -8 - (-23 - (-13 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 + 193. Suppose 64*k - c = 4*k. Solve -k*j - 15 = -5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Suppose -g - 4*x = -t*x - 11, 3*x = 4*g + 11. Let y(u) = 7*u - u**2 + g - 9*u - 12*u**2. Calculate y(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**5 - d**5 + 2*d**5)*(4 + 2 - 2).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -20 (c) 133 (d) 2 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11725341157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*p - 2528 = -i + 6*i, 1900*p + 144 = 3*i + 1903*p for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 175*l - 666. Calculate b(-4).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/3, -3, -51?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 628*d - 1398*d - 927*d in the form o*d + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217*f**4 - 26*f**3 + 865*f + 44 wrt f?\nAnswer: 2604*f**2 - 156*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10517, 11, -749, 4 in decreasing order.\nAnswer: 10517, 11, 4, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69065 is divided by 1303.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w**5\/4 + 951*w**4\/4 - 1101*w**3\/4 - 747*w**2\/4 + 282*w - 51 = 0. Calculate w.\nAnswer: -1, 2\/9, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71511*a**3 - 115294 + 115294.\nAnswer: 71511*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4578 (base 11) in base 12?\nAnswer: -3592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = o, -3*o + 15 = -x + 5. Let y be ((-3)\/(-12))\/(o\/(-12)). Is 0 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -6, -47, 0, 29 in increasing order.\nAnswer: -47, -6, 0, 3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 83, 165, 289, 461?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 4634.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 122, 4 in ascending order.\nAnswer: 4, 5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 4730?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -418182, -418193, -418204, -418215?\n\"Answer: -11*d - 418171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d642 (base 14) in base 8?\nAnswer: 1240252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 6064 + 6061 - 12116 + 8*m.\nAnswer: 10*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 24202 = -5*y, -4*c = -9*y + 6*y - 32251. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432.1 * -5\nAnswer: -2160.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 8*t - 6*t + 3*t - 3*t + 2*t + (2 + 0 + 1)*(3 - 3 + t) - 2*t + 1 - 1 as d*t + y and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 2:16 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -5 (c) 0 (d) -114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 5, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/4 (b) -16 (c) -5\/3 (d) 2\/99 (e) -2\/5 (f) -1 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 41\/(240\/(-35) - -7). What is the greatest common divisor of 41 and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b. Let a(n) = 2*n. Let z(g) = -24*a(g) + 5*j(g). Let i(w) = -6*w**2. Calculate z(i(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -3*z - 12. Let h be ((-5)\/15)\/(2\/z). Sort -1, -3, h in increasing order.\nAnswer: -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735892541?\nAnswer: 283, 2600327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -71 - 34. Let t = a + -13. Suppose -d - 3 = 4*h, -d - h = -0*d - 12. Calculate the smallest common multiple of d and t.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1636*m - 60092. Determine l(36).\nAnswer: -1196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a day?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/7 - 4\/28. Let u(p) = -p**2 - 4*p + 1. Let s be u(r). Suppose s*w - 18 = 38. What is the highest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*j = 8, 2*k - 5*j = -2 - 2. What is the smallest value in -0.22, -0.1, k?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16688*l + 400589. Determine h(-24).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 - 40*d - 3. Let f = 962 + -442. Let m(x) = 81*x**2 - 19*x**2 + 40 + 3*x**2 + f*x. Let w(b) = 3*m(b) + 40*v(b). Factor w(l).\nAnswer: -5*l*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -26792*t**2 + 482263*t - 125. Determine q(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.1. Which is the nearest to 1? (a) 4 (b) -2\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 378039302 by -986.\nAnswer: -383407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52332, 52337, 52342, 52347, 52352, 52357?\nAnswer: 52362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f - 4 + 4 as x + a*f and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/4)\/d*d*d*d)\/d**(-6\/13))**6 assuming d is positive.\nAnswer: d**(579\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -3 (c) 0.3 (d) -0.11 (e) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579773 is divided by 1512.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-149*d - 631 + 631)*(7 + 33 - 11) to c + b*d and give b.\nAnswer: -4321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 - 12*m**2 + 3*m + 3. Suppose -16*o + 11*o - 25 = 0. What are the prime factors of c(o)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 5*u**2 - 12*u + 31. Let f be z(3). Suppose -4*o + k = -3 + 5, -6 = -2*o + 4*k. Sort -5, 6, o, f in descending order.\nAnswer: 6, f, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3123 divided by -3\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*s**3 + s**2 + 285*s + 49170.\nAnswer: -27*s**2 + 2*s + 285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3087)\/(-2058)*(-2 + 1\/((-31)\/(-60)))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -344, 466612, -3 in descending order.\nAnswer: 466612, -3, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3210323 + -20?\nAnswer: 3210303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.66 take away -6.8?\nAnswer: 226.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -407013, -407019, -407023, -407025?\n\"Answer: w**2 - 9*w - 407005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/5 - 1342*n**3\/5 + 268*n**2 = 0?\nAnswer: 0, 1, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i - 40. Suppose b - 2*b - c = 4, -c = 4*b + 13. Let z(j) = -2*j + 8. Let g(x) = b*k(x) - 16*z(x). What is g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 y, and 2 w when four letters picked without replacement from xjynwjjxyjjwwwynnyxj.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 156829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 3*t + 3085*t**2 - 544*t**2 + (-3*t - t + 0*t)*(4*t + t - 4*t).\nAnswer: 2537*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = 5*x, 1 - 5 = -4*w + 2*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -6.693?\nAnswer: -6.693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q - 23. Let l be (-220)\/(-8)*(-8)\/(-20). Let f = q - l. What is the greatest common factor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/12)\/((-14)\/(-24)). Let z = 11 - 8. Let s = -5 + z. What is the second smallest value in s, -2\/13, a?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*g + 95*g = -29875. Which is greater: 1196 or g?\nAnswer: 1196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (250 + -2)*(13\/(-2))\/((-43992)\/846)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1952285 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-57)\/(-342))\/((-8)\/18) - (-3)\/8. Let q = -16 + 11. What is the closest to -1\/8 in -4, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + s = 3 - 11, 0 = a + s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 9970\/(-770))\/(2\/7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.063589 and 45414.\nAnswer: 45413.936411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265550 is divided by 8551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 408.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/13)\/(2*(-22)\/572).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/18 and -131\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526615857.\nAnswer: 3, 37, 527143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -20*c**2 - 4*c. Let a(y) = -19*y**2 - 3*y. What is -4*a(w) + 3*i(w)?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48092.08 * -0.5.\nAnswer: 24046.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.41 to one decimal place.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8836187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let s(n) = -2*n + 1 + 3*n + 0*n. Let j(h) = -h**3 + 4*h + 4. What is b*j(k) - 4*s(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*m = 13, -55*u = -51*u + 5*m - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*n - 64*f**2*p**2*t + 2*f**2*p**2 - 3*f*n - 545*f*p - 216*n*p**2 - 16*p*t wrt p?\nAnswer: -128*f**2*t + 4*f**2 - 432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**2 + v + 4. Let d be j(3). Let b be (-9)\/6 + d\/8. Solve -4*t = -r - 4*r - 33, b*t + 5 = -3*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**7\/840 - u**6\/60 - u**5\/20 - u**4\/12 - 5*u**3\/6 - 10*u. Let m(c) be the second derivative of g(c). Determine m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 3. Let i be h(-5). Let g = i + -6. Let b(x) = x**3 + 3*x**2 - 3*x - 6. What is b(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210420, -420773, -631126?\nAnswer: -841479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 36 = 11*f. Let a(q) = q**2 - 2*q + 9. Let v(y) = -1. Let i(m) = a(m) + 3*v(m). Let k be i(6). Calculate the greatest common divisor of k and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 47. Let r be m(-7). Let q be 144*7\/((-105)\/r). List the prime factors of (q\/(-15))\/((-3)\/(-15)*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 8*i**2 - 8*i + 9. Let l be z(9). Solve 31 = l*t + 103 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/21*45\/(-2). Let j = n + -28. Solve -j*d + d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8164 = -6178*h + 6492*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1440?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 7015809*f + 14031606.\nAnswer: 3*(f + 2)*(f + 2338601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5793 - -3.0793. Suppose 3 + 5 = 4*f. Suppose 2*j = -3*p - f*p - 11, 3*p + 5 = -2*j. Which is the nearest to -1? (a) p (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/4*(-2)\/18*-9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*j + 9 = -173*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -48690 divided by 45\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + 28 + -22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q**2 + 2*q - 1. Let p(i) = -5*i**2 + i - 1. Let s = -865 - -868. Determine s*y(z) - 7*p(z).\nAnswer: 2*z**2 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 280\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)\/(1*(-3 + 4)). Let v(o) be the first derivative of -1\/5*o**5 - 3\/4*o**4 + 0*o + 1\/2*o**6 + 1\/3*o**3 + i*o**2 - 3. Determine m so that v(m) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26202 is divided by 12765.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qicq when four letters picked without replacement from {e: 2, j: 1, i: 1, q: 2, c: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.9667395 to 1 decimal place.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89701845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 2. Let l(y) = 5*y - 3. Let t(o) = 3*l(o) + 4*s(o). Let q be t(-2). Let k = 147 + -48. Calculate the greatest common factor of k and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h - 15*h + 14*h - 7*h - h**2.\nAnswer: -h**2 - 36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 239050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3220350 and 4200.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 - 2*k**2 + 2*k + 2. Let n = 55 - -62. What is the remainder when n is divided by q(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -169841, -169771, -169701, -169631?\n\"Answer: 70*y - 169911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657480502.\nAnswer: 2, 7, 79, 594467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9077111 centimeters?\nAnswer: 0.000009077111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 70. Suppose 0 = -27*v + 37*v - 250. Let o be x(v). Calculate the greatest common divisor of o and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smmssstvsmmst. Give prob of sequence tv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 12*l**3 + l**2 - 18 + 13 - 5*l**2. Let j(m) = -12*m**3 + 4*m**2 - 5*m + 6. Let c(f) = 5*j(f) + 6*o(f). Find the third derivative of c(b) wrt b.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 20. Let k be n(-17). Suppose -2*b = k*b - 20. Let o be (b - (3 - 0))*7. Let g(c) = c**3 - 7*c**2 - c. Calculate g(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56232 + 56233.32162. Round j to two decimal places.\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 282*z + 346*z + 89*z - 15*z in the form c*z + t and give c.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2085 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57128.38mg in nanograms?\nAnswer: 57128380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7960 - -7959.9. Let p = 2 + -6. What is the closest to y in -4\/11, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -763 + 124?\nAnswer: -63c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-323)\/38*(-408)\/52020?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11484125.\nAnswer: 5, 91873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 + -162.62. Let l = -2.68 + q. Let g = 5 + -10. Sort g, -0.5, l in decreasing order.\nAnswer: -0.5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483915 + 483915 + h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7)**(4\/13)*z\/(z**(12\/5)*z)*z*z**(-22) assuming z is positive.\nAnswer: z**(-1381\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 298004248 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1153524*a + 29 - 1153525*a - 2*a**2 + 2307049*a.\nAnswer: -2*a**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*11\/77 - (-530)\/(-140).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {p: 2, y: 7, g: 1, q: 1, i: 4, h: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639364?\nAnswer: 2, 409841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102727 is divided by 16072.\nAnswer: 6295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**5*y**(1\/9)\/y)**(-19)*y\/(y*y\/(y**(1\/4)\/y))*(y**(-2\/3)*y)\/y*y*y**(2\/13)*y**(2\/3) assuming y is positive.\nAnswer: y**(43193\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15843 (b) 6 (c) -5\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/3 (b) -2 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082*o + 1087*o = 1605. Suppose 10*y - o = -291. What is x in -3\/4*x**y + 1\/4*x**5 + 1\/4*x**4 + 1\/2*x + 0 - 1\/4*x**2 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/30*-3)\/(1\/(-1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -554 (base 9) to base 7.\nAnswer: -1216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383123 a multiple of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 49 + (10 - -11 - (14 - (-15 - -6)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)\/k)**(-9\/2))**34*(k*k\/(k**(1\/3)*k))**(1\/52)\/((k*k**(2\/3))\/k)**(12\/11) assuming k is positive.\nAnswer: k**(652079\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - 0.2. Let r = z + 0.4. Let i = 475\/28 - 69\/4. Which is the biggest value? (a) r (b) i (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -40*k**3 - 4*k**2 + k + 6. Let n be j(-2). Calculate the highest common divisor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 858 + -857.467. Let l = x - 0.47. Let p = l - 0.022. Round p to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90638.908 rounded to the nearest 100?\nAnswer: -90600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(5*b**5 - 4*b**5 + b**5) + 9*b**5 + 43 - 43 + b**4 + b**5 - 2*b - b**4.\nAnswer: 14*b**5 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 238*t - 323. Let x(d) = 59*d - 72. Let c(k) = -2*b(k) + 9*x(k). Let l(y) = 2*y**2. Calculate c(l(v)).\nAnswer: 110*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 10. Let b = -5 + 1. Sort b, g, 2 in increasing order.\nAnswer: b, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - (8 - 124)) + 1 + 4. Let j be (1 - v\/30)\/(2\/(-3)). Solve x + 0*x - j*k = 10, 3*x = -3*k - 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g. Let i(h) = 13*h. Let t(j) = -11*c(j) - 6*i(j). Let w(k) = -1. Let r(b) = -8*b - 48. Let x(o) = r(o) - 48*w(o). Calculate t(x(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 2, 29983?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2683.707 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -356, -745, -1156, -1589?\n\"Answer: -11*f**2 - 356*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101 - -10000100000?\nAnswer: 1111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 2*t**2 - 5*t**2 + 2*t**4 + 5*t**3 - 6*t**3 + t**5.\nAnswer: t**2*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*s - 5, 2*g - 3*g = 2*s - 13. Suppose 2 = 3*r - 3*q - 79, -9 = -r - s*q. Calculate the remainder when 43 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z + 0*z**2 + 11 + 4\/3*z**3. What is i(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.809 and -400.\nAnswer: -399.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w + 1. Let i be y(4). Let z be (-102)\/i + 8\/36. Sort z, 1, -3 in decreasing order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -9, 1 in descending order.\nAnswer: 1, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000231 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -55 + 317. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f**3 - 1230*f**2 + 3823*f - 41. Give o(-85).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -70, -4, -0.3, 3985?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/(i*i**5)*i)\/i)**(-43)\/(i**(-2\/9)\/i**(-8\/7)) assuming i is positive.\nAnswer: i**(8069\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.91421 seconds?\nAnswer: 5914.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*r + 133, -5*r + 207 = -2*s + 3*s. Let p(b) = b + 8. Let q be p(-6). Suppose q*y - 159 = -r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -287 - -269. Let w(d) = -d**3 - 20*d**2 - 47*d - 83. What are the prime factors of w(k)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 3*g)*((3 - 6 + 4)*(0 - 1 - 1) + 3 + 5 - 10)*(20 - 20 + g**4 + (g**2 - 3*g**2 + 5*g**2)*(g**2 + g**2 + 2*g**2)).\nAnswer: 104*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n + 2 + 0*n**3 + 0*n**4 + 1\/20*n**5 - 1\/30*n**6 + 0*n**2. Let g(r) be the first derivative of v(r). Let g(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -0.15 (b) 4 (c) 2\/5 (d) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*f - 5*i, -f - 5*i - 19 = 8. What is the tens digit of (-350)\/(-1)*(5 + f)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3015 and -103\/120.\nAnswer: 24120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -23, -40?\n\"Answer: -17*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = w - q, -2*q = -2*w + 3*q + 464. What is the remainder when w is divided by (-92)\/3*231\/(-154)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399519 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105606 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllylylkyllyllyllyy. Give prob of sequence lk.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -11, 3, -1\/437, -4 in descending order.\nAnswer: 3, 1\/3, -1\/437, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2, 6, -35, -5 in descending order.\nAnswer: 6, 5, 0, -2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 3 + 3*k - k**2 + 3*k. Let u be b(7). Let y(j) = -3*j**2 - 3*j + 4. Give y(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = -0*z - d, d + 29 = 3*z. Calculate the remainder when 31 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -7. Let h = 2114 + -2114.1. What is the closest to h in -2, 2\/43, f?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - -1 - ((4 - -534) + -3). Let b = h + 1199. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 625 (base 11) to base 2\nAnswer: 1011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.606932691 rounded to three decimal places?\nAnswer: 0.607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025241 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -8*i - 202 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 5.9437, 23, 1\/8 in ascending order.\nAnswer: -1.4, 1\/8, 5.9437, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 104184844463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10104 - 21040?\nAnswer: -10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + 1)*-2 - ((sqrt(18) + 2)*-1 + sqrt(18)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74818223\/3 + 22146215891\/888. Let d = 113261\/8 - 14133. Let r = d - i. Are 1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*(-2)\/68?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 140, 213, 282?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/5 of a micrometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*d = -31*d - 2*c - 2452, 0 = 3*d + c - 1480. Calculate the highest common factor of 78 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(40\/(-240)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/9))\/p)**(-24) assuming p is positive.\nAnswer: p**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2448) + -2 + sqrt(2448))**2.\nAnswer: -96*sqrt(17) + 9795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -5*h - 68. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65047*h**2 + 1 + 145*h**3 - 65047*h**2 + h as a*h + y + k*h**2 + x*h**3 and give x.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v. Let f(z) = -15*z. Let k(l) = -4*f(l) - 66*x(l). Let c be (-5)\/(-3) + 1\/3. Let i(d) = 0*d**c - 2*d**2 + d**2. Calculate k(i(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8780, -70210, -236950, -561656, -1096984, -1895590, -3010130, -4493260?\nAnswer: -6397636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 174541572 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*f**2*g**3 + 215*f**2*g**2 - 10*g**3*p**3 - 6*g**2*p**3 wrt g?\nAnswer: 576*f**2 - 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38979?\nAnswer: 3, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161246 - 67829*v + 161246.\nAnswer: -67829*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -261, -260, -259, -258, -257?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -48)\/((-1677)\/(-774) - (-1)\/(-6)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.12026 and -6530873.\nAnswer: -6530873.12026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1*(-22)\/(-8). Let u = -8 + v. Is 0 + 3 - u\/(-1) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 5. Let i(t) = 3*t**3 + t**2 - 4. Let o(a) = -5*i(a) - 4*r(a). Find the third derivative of o(d) wrt d.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - -100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/388, -254 in ascending order.\nAnswer: -254, 1\/388, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 13*w**2 - 16*w - 29. What is r(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y - y)*(1 + 1 + 0)*(-2 + 2 + y**3 + 2*y**3 - 4*y**3 + y**3 + y**2 - 2*y**3 - y**2 + (1 + 5 - 3)*(y**2 - y**2 + 2*y**3)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(80)\/sqrt(4)*4 + sqrt(20) + sqrt(20))\/sqrt(4) - ((-1 + sqrt(180) + -1)**2 + 4).\nAnswer: -190 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -41908600 to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/5 - 50736*v\/5 + 124014672\/5.\nAnswer: 4*(v - 9378)*(v - 3306)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 36, 23.\nAnswer: -9, 23, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 3:43 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 297*x + 88780. Calculate b(-299).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooutiuiutoit. Give prob of picking 2 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 41. Suppose 2*z - 71 = -5*h, 0 = -h - h + 2*z + n. Calculate the highest common divisor of 52 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53633668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**5 - 3*u + 195*u**4 - 1 - 1 + 18*u - 5*u**5 wrt u.\nAnswer: -40*u**3 + 2340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 286250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*d - 5*d + 291, -d = -3. Suppose 3*t + 2*c + 7 = p, -t = 3*c - 36. Calculate the remainder when t is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 2}. Give prob of picking 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.92 + 0.02. Let a = d + 3. Let k = 0.3 + -0.1. Is k at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 668*v**2 - 6*v - 18. Let r(n) = -8015*n**2 + 70*n + 210. Calculate 35*j(m) + 3*r(m).\nAnswer: -665*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x + 0*x)*(-4*x**2 - 22*x**2 + 3*x**2) + (-3 + 4 - 3)*(-2 + 2 + x**3) + 3*x**3 - 3*x**3 - x**3 + 4*x**3 - 3*x**3 - 3*x**3.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - a + 6*a - 108, -4*a = 5*m + 176. Let k = m - -37. Suppose -k*p - 3*s = -510, -35 = -4*s - 15. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - c**2)*(846*c - 484*c - 544*c)*(-4*c**2 + 0*c + 0*c).\nAnswer: -728*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00318127 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coococooccoc. What is prob of picking 2 c?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -169549484*u. Let z(c) = 4*c**2. Give l(z(m)).\nAnswer: -678197936*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206230155 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: What is 39*1338\/(-3122)*7\/3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -2. Let c be (6\/(-10))\/(h\/(-20)). Suppose 0 = -0*l - c*l + 9. Solve r = -5*y - 8, -5*r + y - l = 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/1677 and -16\/301.\nAnswer: 11739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p - 1 = -l, 0 = -5*l - 4*p + 41 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5*-1*sqrt(66) - sqrt(66))\/sqrt(6) - (-2*sqrt(1100) + 1)).\nAnswer: -2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 801, 3, -3, 6, 26, 2 in increasing order.\nAnswer: -3, 2, 3, 6, 26, 801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -348*q**3*u**3 + 8*q**3*u**2 - 356*q**3*u*y + 16*q*u**3 + 33*u**3*y + 3*u**3 + u**2*y wrt y?\nAnswer: -356*q**3*u + 33*u**3 + u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/60 + l**4\/6 + l**3\/2 - 11*l**2. Let n be m(-3). Solve -20 = 5*b, q - 21 = -n*q + 4*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4023c - -4?\nAnswer: -40238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.3. Suppose 7*o = -5*o + 48. Sort o, s, -2\/3.\nAnswer: -2\/3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let q(y) = 48*y + 5. Let h(j) = 120*j + 12. Let d(p) = p**2 + 16*p + 10. Let s be d(-15). Let k(a) = s*h(a) + 12*q(a). Give k(z(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12070 rounded to the nearest 100?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34971280 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -128077.43 rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-7 - -8)) + 2 - (-2 + 7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(49) + sqrt(49)*2)*1 - -3*sqrt(196))\/((sqrt(49)\/sqrt(7)*1 + sqrt(7))*-1*5))**2.\nAnswer: 567\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 49088?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17334 is divided by 15774.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 6:02 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2))\/sqrt(7) + sqrt(360)\/sqrt(5))**2 + 0.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8368 = -278*v + 2121*v + 8925 + 10352 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -28858774 times -5\nAnswer: 144293870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -337723 - 688?\nAnswer: -338522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-4)*13*((-1568)\/364)\/(-14)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 91 - 151 + 2*i.\nAnswer: 2*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w - 540 = 3*n, -215 = -2*w + n. Suppose -5*m = -p + 48 - 5, 5*p - 3*m = w. What is the least common multiple of 2\/9 + 68\/p and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 11*b + 88 = 0, 31*b + 59 = -4*g + 36*b for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1470) + sqrt(1470) + (sqrt(30) + -2*sqrt(30))*3 + sqrt(30))\/(sqrt(110)\/(sqrt(1331)*-2)) + 2 + 4.\nAnswer: -418*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let j(h) = -20*h + 1. Let s(u) = -5*f(u) + j(u). What is s(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4097*c + 140 - 40 - 4087*c. Suppose 0 = -0*l - 2*l + 116. Calculate the remainder when l is divided by h(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 4, x: 9}. What is prob of picking 1 i, 1 o, and 1 x?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -36786.\nAnswer: -1\/6131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(847)*1*2 + 4.\nAnswer: 4 + 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let m be 5 + (-1 + p - 0). Suppose -m*h + 46 = -4. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - c - 792. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g - 2*g**3 - 13*g + 50*g + 6775 - 20*g.\nAnswer: -2*g**3 + 6775","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*a**2 - 2*a - 2*a + a - 43*a**2 - 10 - 5 in the form q*a**2 + s + m*a and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42544986 to the nearest integer?\nAnswer: 6523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 18 + h**3 + h**3 - 3*h**3 - 6*h + 2*h**3. Let w(m) = m**2 - m - 1. Let q(b) = -p(b) - 5*w(b). Is q(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from qqqqqqeqqe.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -442, -2, 2.\nAnswer: -442, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 510404 (base 8) in base 7?\nAnswer: 1300240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4\/5 + 2058*h**3\/5 + 12402*h**2\/5 + 18622*h\/5 + 1656 = 0.\nAnswer: -4, -1, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + l**3 + 3*l - 4*l**4 + 1 + 4*l**4 - l + 2*l**4 to the form j*l**3 + r*l + y*l**2 + q + b*l**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -76\/13*q + 24\/13*q**3 - 2\/13*q**4 + 6\/13*q**2 + 48\/13 = 0. Calculate q.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:53 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -37. Let y(v) = q*v + 36*v**2 - 64*v**2 + 30*v**2 - 5*v**3 + 1. Let j = 2 + -3. Give y(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 1209 - 1153. Calculate the highest common divisor of d and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516351122 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49427388 is divided by 123?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.01965 to 3 decimal places.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5815 is divided by 993?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 24 - 300 = 0. Let d = 12 - w. What is the greatest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68735bb + -3?\nAnswer: 68735b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 693*j + 179. What is the remainder when 671 is divided by d(0)?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 352985488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49789\/13 or 3829?\nAnswer: 49789\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2 - 4. Let u be l(-3). Let x be 1 - (u - (1 + -2)). Let i = -4 + x. Solve f - 1 = -3*n - 3, -4*f + 4 = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*sqrt(30)\/sqrt(5)*3)\/(5*-2*sqrt(18)).\nAnswer: -5 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/33))**(-5)\/(x**(14\/5)\/(x*(x*x**(2\/19)*x)\/x)))**(-44) assuming x is positive.\nAnswer: x**(75212\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**5 + 85083*n**4\/4 + 14895339*n**3\/2 + 16681494*n**2 + 22210095*n\/2 + 7399821\/4 = 0. Calculate n.\nAnswer: -6721, -367, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 2*n. Let q(j) = 10*j**2 + 7*j + 1. Let v(o) = -3*q(o) + 10*r(o). What is v(2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) 0.3 (c) 25 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.007\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/32 - 477\/24. Let j = 31 - h. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 5*k - 3. Let s be a(3). Let v be ((-5)\/(-25))\/((-3)\/6). What is the nearest to s in 1, v, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 429793 and 9446?\nAnswer: 859586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**4\/6 + 67*v. Let j(r) = 2*r + r - 5*r. Calculate h(j(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13488 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -705 = 13*j + 2363. Find the common denominator of ((-182)\/12)\/(j\/(-12) + -9) and 93\/40.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4127 = -6*a - 26615. Is (1\/((-6)\/a))\/(8\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 9*c**2 - 17*c + 261. Give o(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4503317 and 4199?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Suppose -n*t - 3 - 1 = 0, 2*t + 38 = a. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15453 + -15303. Calculate the least common multiple of 392 and d.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b - 5*c + 65, 2*b - 40 = -4*c. Suppose y + b = -18. Let w = 27 - y. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -117, -247, -419, -627, -865, -1127, -1407?\n\"Answer: x**3 - 30*x**2 + x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/3 + v**2 + 2*v - 11. Let t be b(0). Solve 0 = 3*j - h + 15, -t*j - 3*h - 11 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h)**(-41)\/(h**(-1\/3)*h**(1\/2)\/h) assuming h is positive.\nAnswer: h**(251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 3*m + 10, 17835*j + 14 = 17840*j - 4*m - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132683278?\nAnswer: 2, 13613, 41603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45601184173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/((-3)\/(-8)). Let r be (70\/12)\/(-7) + (h - 3). Let d(k) = -k**2 + k + 3. Let g be d(0). Which is the biggest value? (a) g (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*z**2 - 2*i**3 - 563037*i**2*z**3 + 255*i**2*z - 2*i*z - 114*z wrt z?\nAnswer: 2*i**3 - 3378222*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*o - 45*o - 116 = 0. Which is the closest to o? (a) -1 (b) 0.11 (c) -3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - (15 + -8) - 2937\/838. Let o = d - -2\/419. Which is the closest to -0.3? (a) 0.1 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/210*6\/(-3))\/((-952)\/53550).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(110) - sqrt(110)))\/(-5*sqrt(50)\/sqrt(5)) + -4.\nAnswer: -4 + 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43782 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -14 + 114*x**2 - 107*x**2 + x**3 - 3 - 11*x. What is the remainder when v(-6) is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52994 by 2.\nAnswer: 26497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4.9902*-3.92\nAnswer: 19.561584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.073 and -21851?\nAnswer: -1595.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 2*c + 196 - 206 = 0, 5*m + 5*c - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 - -189. Let o = f + 25. Let d = o + -41. What is the highest common divisor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**5\/7 - 516*x**4\/7 + 2116*x**3\/7 - 228*x**2 = 0.\nAnswer: -133, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*h = 2, 4*m - 3*h = 2*m + 21. Suppose 2*g - 30 = -3*r - r, 0 = m*r - 4*g + 5. Solve -5*x - 11 = -2*s + 5, r*s = 3*x + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y - 21 = 0. Let n(l) = -3*l - 8. Calculate the remainder when n(-7) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -51, 1, -4, 53 in descending order.\nAnswer: 53, 3, 1, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 11*j - 2*i - 5359, -2*i + 1067 = j. List the prime factors of j.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37998 is divided by 500?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -1\/4, -0.1, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2473*b - 4694*b + 3145*b.\nAnswer: 924*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/2)\/(1\/3))\/1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 3703\/(-621)) + (-6100)\/54?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -5*r - 196 + 72 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2*h - 2*h**2 + 2*h) + (3 - 1 + 0)*((-1 + 4 - 4)*(-2*h - 2*h + 6*h) - 4 - 3*h + 4)*(3*h - 5*h + 47*h).\nAnswer: -452*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -7*u**5 - 31*u**4\/3 + 16*u**3\/3 + 8*u**2 - 5*u. Solve y(s) = 0.\nAnswer: -1, -2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1764 + -276?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82 * 4.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-45) + (-2396)\/(-30). Suppose 0 = -32*i + 34*i - u. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 4. Let i be t(-9). Suppose -i*l = -26*l + 24. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794731*j**2 + 2042 - 1794729*j**2 + 327.\nAnswer: 2*j**2 + 2369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {m: 2, h: 1, u: 1, y: 10}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -856, -1781, -2708, -3637, -4568, -5501, -6436?\nAnswer: -7373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/7 - 6536*i**2\/7 - 26176*i\/7 = 0 for i.\nAnswer: -4, 0, 3272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaxgy. Give prob of picking 1 y and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g + 2*g + 3*g)*(g + 2*g - g + (8*g + 0*g - 2*g)*(-82 - 15 - 7))*(g + 24 - 24) to d*g + b*g**2 + q + v*g**3 and give v.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 177, 358, 539, 720, 901?\n\"Answer: 181*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.66 + 14.67. Which is the closest to -1\/3? (a) 1\/9 (b) -0.019 (c) 0 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11318 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - y - 4. Let b be i(0). Let q be ((-2)\/b)\/((-19)\/(-190)). Solve 2*s = q*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) - (-1 + sqrt(1152))**2 - (1 + -3 + sqrt(242)).\nAnswer: -1151 + 41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*f - 50. Let d = f + -32. Let p = -24 - -45. What is the remainder when p is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 4*i**2 - i - 2. Let p(q) = 2*q**3 + 20*q**2 + 7*q + 10. What is -5*d(s) - p(s)?\nAnswer: 3*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6072 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 - 2)*(-2*i + 2*i - i) - 1790*i + 1359*i - 1670*i)*(2*i**4 + 0*i**4 + 0*i**4).\nAnswer: -4196*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6254 = 93*r - 488 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -123897.107?\nAnswer: -123901.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 114264118040008?\nAnswer: -114264118040004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 307, 306, 305?\n\"Answer: -p + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20031210 (base 4) in base 5?\nAnswer: 2034021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**2\/2 - 6*t + 5. Let c(z) = z**3 + 4*z**2 - 3*z + 7. Let p be c(-5). Calculate r(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(243) + 0))**2 - (sqrt(3) + (sqrt(6)\/sqrt(2) - sqrt(3)))*5.\nAnswer: -5*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + -6.9. Let r = -5 - p. Suppose -2523 = -116*x - 667. Sort x, r, -1\/5, 2 in decreasing order.\nAnswer: x, 2, r, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -f + 2*f - 119, 598 = 5*f + 2*l. What is the greatest common divisor of f and 800?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1715, -79 in decreasing order.\nAnswer: 1715, 5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.97 - -0.03. Let m = f - 8. Put m, 3\/5, -0.04 in decreasing order.\nAnswer: 3\/5, m, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + 3 + (-29)\/(174\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 19. Let i be n(-12). Suppose -i = -2*o + 25. Solve -5*w + o = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46046 and 114884?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -7 - 1\/2*z**3 + 9\/2*z + 3\/2*z**2. Factor m(o).\nAnswer: -3*(o - 3)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*y + 76*y - 144*y)*(1 + 5 - 5)*(-5 + 5 + y**3).\nAnswer: 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/11 + 14*o**3\/11 - 36*o**2\/11 + 40*o\/11 - 16\/11.\nAnswer: -2*(o - 2)**3*(o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (3 - (2 + 0)). Let m = z + -3. Let d be m\/2*(-3 - -1). What is the highest common divisor of 36 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 8*z**2 - 38*z - 31. What is the lowest common multiple of u(-5) and 132?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1280, 2789, 4310, 5849, 7412, 9005, 10634?\nAnswer: 12305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(70\/(-20))*15\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3961143 + 13*g**3 + 5*g**3 + 3961143.\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(160)\/sqrt(4))\/(-2*sqrt(648)) + (-1*sqrt(220) - sqrt(220))\/(sqrt(121)\/(sqrt(11)*2)))*2.\nAnswer: -140*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35\/3 + -12. Let l = -0.1 + 0.1. Let a be 8\/10*(-75)\/135. What is the nearest to k in l, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/63352692 and 47\/17597970?\nAnswer: 316763460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(243)*4 + 0 + sqrt(243) + -1 + sqrt(243) + (sqrt(243) - 1*(sqrt(243) + 2) - (sqrt(243) + 1)*-6))*-6)**2.\nAnswer: 7776*sqrt(3) + 140292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 420243283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-32)\/24)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4308000 divided by -5.\nAnswer: -861600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*v - 5*v - 1128 = 0, 0 = -d - 5*v + 1160. Let j = d - 444. What are the prime factors of j?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/6 - 13*k**3\/6 + 4*k**2\/3 + 26*k\/3 - 8 = 0. Calculate k.\nAnswer: -2, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaff. Give prob of sequence fafa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-29488)\/1940 + (96\/4 - 9)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t - 12*t**4 + 28*t**2 - 10*t**2 - 18*t**2 wrt t?\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let k(s) = -s**2 - s + 1. Let v(p) = 16*p**2 + 12*p - 12. Let x be (3\/(-6))\/(4\/(-96)). Let y(j) = x*k(j) + v(j). Determine y(l(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (-4 - (-277 + 285 - (-2 + 13 + -2)))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 15 = 3*k, 0 = 4*k + 3202352*w - 3202353*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o. Suppose j - 11*j + 380 = 0. Let r(w) = j - 25 - 13 - 26*w. Determine y(r(u)).\nAnswer: 234*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -35. What is the remainder when (-99)\/6*1*o\/(-3) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053412 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00105097 rounded to 6 decimal places?\nAnswer: -0.001051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04266 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.04 (c) -2\/15 (d) 3415.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + 10. Let m = z - 33. Let q = 22 - m. Which is bigger: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5224 - -0.0876. Let s = g + -0.61. What is the smallest value in s, -0.3, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = -5*y, -3*x + 5*y + 1 = -3. Let a = 149 + -134. Suppose 6*o - 3*o - a = 0, 0 = x*b - 3*o - 111. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*o**2*t + 58*m*o**2 - 2*m*t - o**2*t - 5*o**2 - 2*o wrt m.\nAnswer: o**2*t + 58*o**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 6. Let j be m(-12). Suppose 2*x = -j*x + 160. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/31)\/(22\/1188*27).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(1\/5))\/x)**(-5\/6)*x**(-3\/5)\/(x\/x**(-9)))**(5\/2))**(1\/87) assuming x is positive.\nAnswer: x**(-313\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/7, 13, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1*35 + 0. Let x = 45 + -62. Calculate the common denominator of 10*-10*6\/u and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 3:58 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1920)\/352)\/((-53)\/(-212)*(-8)\/11)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/54 and 73\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*i - 1373 + 2245 = -4438 - 4314 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144724 minus -1?\nAnswer: -144723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -44*q**2 + 145*q - 6. Let d(y) = 21*y**2 - 71*y + 2. Let w(l) = -7*d(l) - 3*m(l). What is w(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u + 5*u - 8*u. Let z(h) = -12*h**2. Give z(m(l)).\nAnswer: -108*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -y - 3, -27*o + 15 = -22*o - 3*y. Is (8\/o + -3)\/(1\/(-27771)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 8:08 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434792?\nAnswer: 2, 17, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = 2, -p = -3*q - 11. Suppose 0 = p*u - 3*u. Let w be (-68)\/(-18) + 12\/54. Solve u = -4*z + w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:29 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137899 divided by 3.\nAnswer: 137899\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -187*s**6\/60 + 158*s**3\/3 - 379*s**2. What is the derivative of q(h) wrt h?\nAnswer: -1122*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)*1*4 + sqrt(68)\/sqrt(2)*1)\/((sqrt(2) + (sqrt(2) - sqrt(10)\/sqrt(5)*-2))*-5).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*t**2 + 0 + 0.\nAnswer: 126*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 56, 101, 168, 263, 392, 561?\n\"Answer: j**3 + 2*j**2 + 16*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2816130 divided by 563226?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129051 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 463105 (base 10) to base 11\nAnswer: 296a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 62. Let t = 14 + o. Solve -v + t = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19605 or -19723?\nAnswer: -19605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30498, 30498, 30496, 30492, 30486?\nAnswer: 30478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 25. Suppose -c = -z + 5. Calculate the smallest common multiple of 3\/(0 - (-1)\/2) and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -591.000000154 + 591. Round l to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 2*i + 2. Let p(y) = -y. Let r(m) = -b(m) - 4*p(m). Let t be r(2). Let l = 17 + t. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, -8, -25 in decreasing order.\nAnswer: 4, -0.2, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-97 + 91)\/((-4)\/6*(-6)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -14198?\nAnswer: -14192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2647*a. Let t(i) = 7012*i. Determine m(t(w)).\nAnswer: 18560764*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxyxxxxyxxyxxxxxx. What is prob of sequence xyy?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 649\/6 + -12979\/120. Let q(x) be the third derivative of -6*x**2 + 0*x + 2\/3*x**3 + r*x**6 + 0 - 1\/15*x**5 - 1\/24*x**4. What is q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (69 - 1)*(-8)\/(176\/(-3157)). Suppose -3*l = 31*l - i. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1539)*-1 + 4))**2*-2*4.\nAnswer: -447840 + 20736*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 689919026035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (10 - (-2 + 8) - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24153447 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j)*(-3 + 3 - 2) - j + j - 2*j + (4 - 1 - 4)*(-j - 4 + 4) + j + 0*j + j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*j + 6*g*j**3 - 7*g*j + 412901*j**3 with respect to g.\nAnswer: 4*g*j + 6*j**3 - 7*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14679 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*p + 10, -2*f + 4*p = -6*f + 36 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.0434 - 37.39. Let a = 0.0466 + k. Let c = -3 + 0. What is the third biggest value in -2\/17, 0.1, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*a - 86*a + 189 = 57*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0*s*s)**(2\/17)*(s**(2\/7))**(-3)*(s\/(s\/((s\/(s\/(s\/s**(-2)*s)*s))\/s))*s)**(-2)\/((s*s\/s**0)\/s**(1\/16)) assuming s is positive.\nAnswer: s**(-16073\/1904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2189690*f**4 + 283740*f**2 - 4 wrt f.\nAnswer: -52552560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45474447.\nAnswer: 3, 15158149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, i: 3, d: 1, t: 1, j: 4, g: 1}. What is prob of sequence gt?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*g - 5*d = 1008*g - 34, 2*g - 4*d = -14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7508409312 + -0.07\nAnswer: -7508409312.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**4 - 8*m**4 + 3*m**4 + 29*m - m**3 + 2*m**4 wrt m.\nAnswer: 24*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346 - 326. What is the smallest common multiple of y and (-2)\/4 + 90\/4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424244*s**3 - 21901*s**3 - 130583*s**3 + 94826*s**3.\nAnswer: -481902*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 763*n**3*t**2 + 2*n**2*t**2 + 97*t**2 + 3*t wrt n?\nAnswer: 2289*n**2*t**2 + 4*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0, 2\/13, -5, -2\/5, -188, -0.00648?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 1, z: 7}. What is prob of picking 1 o and 3 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*t**3*u**3 - 5*t**3*u + 3*t*u**2 wrt u?\nAnswer: 150*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -4, 24\/7?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 57. Let d = 21.96 - s. What is the nearest to 0 in d, -3\/2, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003122527668 rounded to five decimal places?\nAnswer: -0.00312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 309*x + 310 = 0. What is x?\nAnswer: -1, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 922958978 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:43 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:45 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 1300122?\nAnswer: -1300033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 332\/(-4) + 1. Let y = h + 92. Let w = -5 + 8. Solve -y = -g - w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2))**19*(r**1)**(1\/9)*(r**(-8\/7)\/(r**(-2)*r))**5 assuming r is positive.\nAnswer: r**(-1273\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134221*j**2 + 268446*j**2 - 134241*j**2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 4*v**2 - 4*v**2)*(2 - 4 - 3) - 5*v + 6*v**4 + 5*v.\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2203, -4406, -6609, -8812?\nAnswer: -11015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2651, -4465, 3?\nAnswer: -2651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Suppose -3*x + 6 = -b*o - 8, x + 4*o = -6. Suppose 0 = 2*w + j + 3, x*w + 3*j = 4 - 13. Let p(z) = z**2 - z + 2. Give p(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1244 + -655. Let w = m - 406. Suppose -3*f + w + 51 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 15. Let k = 260\/3 + -89. Let s = k - -37\/12. Sort 0.2, s, j in ascending order.\nAnswer: j, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16032 and 576.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 2*d**3 + 1 + 9 + 53.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (936\/(-130))\/(1 + 95\/(-75))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {p: 9, j: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - sqrt(27)\/(sqrt(12)\/sqrt(4)))\/(-4*sqrt(3)*1 - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22022 - -10333?\nAnswer: -11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116466 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 2801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 + -2.6. What is the third biggest value in 1, -0.2, -1, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 482*w + 53324. Give f(310).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbg when three letters picked without replacement from ibbupig.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 + q - 12. Suppose 4*r = 2*r + 10. Let s(b) = b**3 - 3*b**2 - 6*b - 5. What is the remainder when t(7) is divided by s(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-18 + (0 - -2)). Let w = 59 - l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 3) in base 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 + 18432*b + 56623104.\nAnswer: 3*(b + 6144)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/9)\/b**(5\/3))\/(b**12\/b**6))**(-8) assuming b is positive.\nAnswer: b**(544\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*j**3 - 3*j**2 - 6*j + 26 wrt j.\nAnswer: 588*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - (4 - 0 - -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*y**2 + 77 + 852*y**3 - 428*y**3 - 425*y**3 wrt y.\nAnswer: -3*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 25*q**2 - 4*q + 161. What is the remainder when u(25) is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 415 = 122. Let m be 1\/((-12 - -5) + 5) - (-1986)\/4. Let f = m - l. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2\/11 (c) 0.1 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.538 - 75.7522883?\nAnswer: -76.2902883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5391)\/6*(-5 - 44\/(-12))?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2 + 247*v + 243. Let i(y) = y**2 - 6*y. Let w(t) = c(t) + 4*i(t). Find the first derivative of w(j) wrt j.\nAnswer: -2*j + 223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skskssssssksssss. What is prob of sequence kssk?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**38)\/q**2)\/((q*q\/q**(18\/7))\/(q*q*(q\/q**8*q)\/q)))**(-5\/8) assuming q is positive.\nAnswer: q**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4*(1 + 0))\/1. Let w = 2 - 0. Suppose w*y + c - 4 - 3 = 0, 0 = 5*y - 3*c - 12. Solve -y*j + i = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20163 + 20164. What is the closest to y in 4\/5, 23, -0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43409736 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -0*b. Let o = -3 - -12. Let f = -9 + o. Solve b = 2*p - f + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7556.756km in centimeters?\nAnswer: 755675600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (14\/((-532)\/57))\/(-3*(-1)\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -6, 3 in ascending order.\nAnswer: -29, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10563792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*t + 66, -4*u + 102 = -0*u + 2*t. What is the greatest common factor of u and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 26111?\nAnswer: 26103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -55, -101, -165, -253, -371, -525, -721?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 2*s - 30. Let p(u) = 3*u**2 - 3*u - 3. Let o = -11 - -7. What is the remainder when p(o) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7162 and 741489022?\nAnswer: 7162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*u - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 158, 337, 592, 929, 1354, 1873?\nAnswer: 2492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 611 + -741 + -6 + 67.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 116, -20, 19 in ascending order.\nAnswer: -20, -1, 4, 19, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -498301853 by -3.\nAnswer: 498301853\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*h - 17. Does 8 divide (-259)\/(-35) + 6\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, m: 2, o: 4, k: 3, w: 1}. Give prob of picking 1 g, 1 w, 1 m, and 1 o.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8 and 117\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k**3 - 14*k - 15057 + 15057.\nAnswer: -54*k**3 - 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**4\/6 + 4*w**3\/3 + 7*w**2\/2 - w. Let k(g) = -g - 1. Let y be 15*(21\/3 + (132\/(-20) - 0)). What is y*k(m) + d(m)?\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0*h**6 - 4*h**2 - 5\/24*h**4 + 1\/42*h**8 + 0 + 0*h**7 + 0*h**3 + 0*h + 0*h**5. What is the second derivative of k(r) wrt r?\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 - 1032*x**2 + 88644*x - 2534720 = 0. What is x?\nAnswer: 80, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 + 2*v**2 + 2*v. Let n be h(-1). Solve w + s = 2, -n*s + 2*s = -12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 o, and 1 m when four letters picked without replacement from {u: 2, m: 1, o: 1, v: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7756 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + x = 3*x + 84, 5*t + 5*x = 170. Let c = 68 - t. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**3 + 6*m - 6. Let z(r) = -r**3 + r - 1. Suppose 0 = -3*p + 6*p + 27. Let o = p - -3. What is o*z(l) + c(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 249*x - 1258. Let w be h(5). Solve -z = 4*l - 19, -w*l + 10*l + 15 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/12 + ((-27)\/3)\/(-9) and (122\/(-16))\/(10*(-6)\/(-120)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 divided by 736?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11209632545 and -25370?\nAnswer: 11209607175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -258, -814, -1438, -1896, -1954, -1378, 66?\n\"Answer: 39*a**3 - 268*a**2 - 25*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.90350134 to three dps.\nAnswer: -5.904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143\/2 - -73. Put -2\/17, k, 5 in ascending order.\nAnswer: -2\/17, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 5*o + 3. Let p be k(5). Suppose -p*h = -8*h. Which is smaller: 4\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/2)*y**6)\/(y**(2\/7))**(3\/8)*(y\/(y\/(y**(-4\/3)\/y))*y\/y**(-4\/11))**(2\/117) assuming y is positive.\nAnswer: y**(581219\/108108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = 7. Let q = -1.2 + 1. Which is the nearest to -1? (a) q (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n + 7. Let z = n - -15. Let b(s) = 7*s - 16. Calculate the remainder when b(5) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -26. Let h = -14 - -17.5. Let p = h + o. Which is the closest to -2\/15? (a) 0.1 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -50 (c) -0.1 (d) -4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*i**2 - 4*i**2 + 10*i**2)*(2*i**2 + 3*i**2 + 10*i**2 - i).\nAnswer: -615*i**4 + 41*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:40 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131160 (base 8) to base 7.\nAnswer: 250115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 7*w - 2*w + 3 - 3. Let i(j) = -304 + 304 + 5*j. Determine z(i(g)).\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -5\/6, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4169, -4062, -3917, -3740, -3537, -3314, -3077?\n\"Answer: -z**3 + 25*z**2 + 39*z - 4232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f - 32\/3*f**2 + 0 - 4\/3*f**3.\nAnswer: -4*f*(f - 1)*(f + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45981481 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 1 + 6*n**3 - 1 - 2*n**2 - n**3 + 2*n**2 + (2 - 2*n - 2)*(0 + 0 + 2*n**2).\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 - 1 - 112*g**2 - 134*g**2 - 4*g**3 + 5*g**3 + 10*g**2 as o*g + p + l*g**3 + m*g**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75.703 - -3.583. Round o to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2*s + 2*s)*(5*s - 16*s + 10*s + (-4 + 3 + 0)*(-s + 6*s - 4*s) - s + s - 2*s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Suppose 6*f - f - 25 = r. Differentiate -f*i**4 + 2*i**4 + i**4 - 1 wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 0, -10, -17\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 7*j**2 + 14*j - 30. Let v be p(13). Suppose -4*r + c = -1507, -4*r - c + v + 182 = 0. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4102666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from grnvvnvnrgn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -662*o - 11914. What is v(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013543129 to 5 dps.\nAnswer: -0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 + 1724*g\/7 - 69264\/7.\nAnswer: 4*(g - 37)*(g + 468)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Suppose -4*x + 9*x - 20 = 0. Suppose 0 = 4*m + 3*c - 14, -5*m + 4*c = c - 4. Let j(t) = x - 4 - t**m. Calculate y(j(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 7*i**2 - 11*i + 20. Let m be c(8). Let v(h) = -h**3 - 4*h**2 - 2*h - 4. Give v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n**2 - 14*n + 9. Let g(m) = 2*m**2 + 3*m - 2. Let p(w) = 11*g(w) + 2*k(w). Let o be p(-4). Let s = o + -5. Solve 0 = 5*q + 18 - s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2302650*r + 5242581 wrt r?\nAnswer: -2302650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28600*v + 14396*v + 14369*v.\nAnswer: 165*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-7)\/(-42)). Let w = 3 + q. Find the third derivative of 3*o**w + 2*o**2 - 2*o**5 + o**2 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + -2 + 105 - 3 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y + 0 + 1\/42*y**5 - 2*y**2 + 0*y**3 - 1\/84*y**4 - 1\/105*y**6. Factor j(h).\nAnswer: -2*h*(h - 1)*(4*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 2370?\nAnswer: 16590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-174)\/42 + 5)\/((-2)\/(-14)). Let r(q) = -10*q - 13. Let y(p) = -p + 1. Let w(b) = -r(b) + 4*y(b). Let j(h) = 2*h + 6. Give v*w(i) - 17*j(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 - -101. Let n = u + -29. Are -5 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 8. Let y be p(-10). Let w = y - 4. Let c(d) be the first derivative of d**3\/3 + 4*d**2 + 8*d + 9. Determine c(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-2) - (-4)\/8. Suppose v*d + 25 = 1. What is the units digit of (-3)\/d + 14\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 + (-3 - 0) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*h**2 + 86*h**2 - 2436*h**3 + 2439*h**3 - 17*h.\nAnswer: 3*h**3 + 3*h**2 - 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/4 - 31*w**4\/4 + 39*w**3\/2 + 49*w**2 - 202*w + 168 = 0. Calculate w.\nAnswer: -3, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - a**2 + 2*a**2)*(82 - 86 - 28*a + a) to r*a**2 + x*a + f + n*a**3 and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/87 - -31\/87. Factor 2\/3 - p*d**3 + 0*d**2 + d.\nAnswer: -(d - 2)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -59*q**7\/2520 + 61*q**4\/12 + 5*q + 5. Let u(h) be the third derivative of o(h). Let i(a) = -a**2. Calculate i(u(c)).\nAnswer: -3481*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o + v = 30*o - 421, -3*o + v = -1263. Let g(w) = -w**2 - 6*w - 5. Let c be g(-5). Suppose -5*h + o + 179 = c. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyny when four letters picked without replacement from {n: 11, y: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34724 from 24917682.\nAnswer: 24882958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62315427?\nAnswer: 3, 67, 310027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**2*s**2 + 3*n**2*s - n**2 - 3*n*s - 604*s**3 + 13 wrt s?\nAnswer: 14*n**2 - 3624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7 - 3*w - w + 2*w**3 + 6*w**2 - 3*w**3. Let b be m(5). Let q be (-4 - (2\/8 + (-2380)\/560))*-1. Sort q, b, -7, 4 in descending order.\nAnswer: 4, q, b, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/55)\/(-5) - (-17)\/(-33)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4081.35284 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/18178 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1. Let x(y) = 4*y + 5. Let z(w) = -7*w - 9. Let f(l) = -10*x(l) - 6*z(l). Let o = 572 - 575. Calculate o*b(g) + f(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241, 1818, 6107, 14464, 28245, 48806?\nAnswer: 77503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/4 + 129*s**4\/4 + 360*s**3 + 1053*s**2.\nAnswer: s**2*(s + 6)**2*(s + 117)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2970 - -40b?\nAnswer: -2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4035242 to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2068 + -4.2068. Let j = 0.1 + -0.6. Sort a, j, -2\/5.\nAnswer: a, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*v = 3*v - 0*v + 17558 - 4766 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 248 and 247 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suuu when four letters picked without replacement from {u: 14, s: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 538 - -40633?\nAnswer: 41272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448.2711 weeks to minutes.\nAnswer: 4518572.688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187209 = 7*h + 43331. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z**2 - 1. Let w be d(1). Suppose -4*r = -2*r - w. Suppose 4*n + c = 24, 36 = -2*n + 6*n + r*c. Sort 0.12, -4, n in descending order.\nAnswer: n, 0.12, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81 - -1baaa?\nAnswer: 1ba29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -483, -389, -255, -69, 181, 507, 921?\nAnswer: 1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 - 9*b**5 + 13*b**5 + (0 + 0 - 3*b**2)*(-5*b**2 + 5*b**2 + 2*b**3) - 3*b + b**5 + 3*b.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 19 = 24. Suppose 0 = 3*f + m*n, -3*f + 2*n + 3*n = -30. Suppose -b - 5*u - 529 = -4*b, -f*b - u = -891. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*w - 8, 3*i + 2*w - 7 = 2*i. Suppose -4*a = -2*h - 122, 9 = i*a + 5*h - 166. Suppose -a - 48 = -4*s. 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 the second derivative of -15*c**2 + 17*c**2 - 1182*c + 7*c**2 + 14*c**3 - 18*c**3 - 4*c**2 wrt c?\nAnswer: -24*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 22707*j**3 - 8 - 22712*j**3 + 8.\nAnswer: -5*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.35138 rounded to two decimal places?\nAnswer: 157.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4224.45259 to the nearest ten.\nAnswer: -4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 212 = 1316. What are the prime factors of r?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -17 - -31 - (0 + -4013)?\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 133.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.122 - 7.578. Let m = -1.3 + o. Let f = m - -8.9909. Round f to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 19. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y = -8. Let t = -27 + 32. Calculate the greatest common divisor of y and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-3))*n\/((n\/(n\/(n*n**(-7\/4)*n)))\/n))**(-23\/2))**19 assuming n is positive.\nAnswer: n**(-8303\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/((-780)\/8) + 2*(-746)\/(-20). Which is the biggest value? (a) 2.2 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -84 - 14 - 67 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 6:34 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 22. Which is the second smallest value? (a) 9\/7 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:10 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -41*a**8\/168 + 13*a**5\/30 + 2*a**2 - 6. Find the third derivative of u(t) wrt t.\nAnswer: -4920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 72*y + 100. Give r(-34).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v - 20. Let q(d) = -d. Let k(o) = -6*q(o) - u(o). Let w(f) = -7. Let t(r) = -2*k(r) - 7*w(r). Find the first derivative of t(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + -4) - (2 + (-4 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*j + 26*j - 5*j + (2 - 1 - 2)*(j - 4*j + 4*j) as z + d*j and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**5\/120 + 5*x**4\/24 + x**3\/3 - 3. Let k(h) be the third derivative of a(h). What is k(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + x**4 + 1698*x**2 - 3*x**3 - 1698*x**2 as l*x + t*x**4 + q*x**2 + j*x**3 + z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 429 + 439 + 261*s - 872 + (3 - 1 + 0)*(-s + 2*s - 2*s) in the form c + g*s and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 87783.266 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let t(b) = -13082978*b**2. Give t(l(h)).\nAnswer: -13082978*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40976 - 40976 - 1219*d)*(2 - 2 - d**2) + (d - 2 + 2)*(3*d**2 - d**2 + 0*d**2).\nAnswer: 1221*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 4*l - 4*l + (-110 + 110 + 9*l)*(-1 + 0 - 1).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2) - (167\/668)\/((-3)\/20)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + (4 - 12) + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-1)\/(-4) + 0). Let o(j) = y*j + j - 2*j. Let n(q) be the second derivative of -q**4\/6 - 4*q. Calculate o(n(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:47 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358660633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -11 - (-3 + 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*m**2 - 14*m**4 + 1 + 4*m**2 + 7*m**2 + 4*m**2 in the form l*m + h*m**2 + v*m**4 + b*m**3 + o and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 14. Let u be b(-7). Let p be (u\/((-16)\/(-4)))\/(-1). Suppose 36*k - 33*k - 285 = p. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -22*l + 6. Let m(t) = -23*t + 7. Determine -5*f(j) + 4*m(j).\nAnswer: 18*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -36*n**3 + 11*n**2 - 1185 + 2405 + 16*n - 1199. Let f(z) = -7*z**3 + 2*z**2 + 3*z + 4. Calculate -2*c(b) + 11*f(b).\nAnswer: -5*b**3 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -429, -857, -1287, -1719, -2153, -2589?\nAnswer: -3027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + 779. Suppose -4*u + r = -716, 4*u - r - x = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41985 and 3732.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 2*d**2 + 5*d - 3. Suppose -426*r + 85 = -409*r. Determine q(r).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3955831040.\nAnswer: 2, 5, 7, 441499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 16 = 4*r, j - 12 = 5*r + 4*j. Suppose -3*g - 48 + 60 = r. Suppose -v + 2*v + u = 149, 0 = -g*v + u + 581. Does 27 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -139. Is (g\/3)\/((-76)\/6042) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -b - 0*u + 7, -4*u - 26 = -3*b. Let j(h) = -27 + 25 + 0*h + h**b - h. Let z(g) = -3*g**2 + 2*g + 6. Give -8*j(o) - 3*z(o).\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -2095\/9. Let r = 127\/36 + -34\/9. What is the third biggest value in z, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -308*b**2 + 607*b**2 - 295*b**2 + 2 - 2*b + 0 as y*b**2 + v + d*b and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 463064\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.602015 tonnes in grams?\nAnswer: 602015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03808696842 to 6 dps.\nAnswer: -0.038087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 694531 from 1660.05477.\nAnswer: -692870.94523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69*x**2 - 33*x**2 - 126*x**2)*(3*x + 0 + 0*x - 1) in the form v*x**2 + q*x**3 + f*x + t and give q.\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31955 - 13*c + 31955.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 350 - 2791\/8. Calculate the common denominator of v and -1 + 2\/6 - (-1244)\/264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -13*t + 36. List the prime factors of w(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 13786*x**2 + 38*x. Let o(g) = -g**2. Give c(o(b)).\nAnswer: 13786*b**4 - 38*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 13) in base 7?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 107.17\nAnswer: 428.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d + 112. Let v(p) = 16*p**3 + 37*p**2 - 40*p + 2. Let i be v(1). Give l(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*q**3 + m**2*q*z - 10*q**4 - 2*q**2*z - 60*z wrt q?\nAnswer: -6*m**2*q - 120*q**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 + -46 - (-14 + -2)) + (4 - 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 3*t - 3. Suppose -3*b + 5*b - 2*j = 4, -j + 10 = 3*b. Suppose 3*v - 3*k - 23 = -2, 0 = -b*k - 6. Determine w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72043044 rounded to 3 dps?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-378)\/(-207)) + -1\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + f + f - 3, 4*m = 3*f + 12. Let k(x) = -x**2 + 4 - 9 + 6 + x + 0. Determine k(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35327779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-388)\/(-26))\/(4560\/29640)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 239*j + 718\/3.\nAnswer: -(j - 1)*(j + 718)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -12, 1.3, 0.045, 16, 2\/11?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 2. Suppose p = 6*p + 25. Suppose k + 52 = 3*k + 2*y, 4*y = k - 46. What is the remainder when k is divided by f(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3117 and 255?\nAnswer: 264945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**5 - 3236*z**4 + 6492*z**3 + 3236*z**2 - 6488*z = 0.\nAnswer: -811, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8071.1 rounded to the nearest 100?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) - (-6)\/27. Solve i - 2 = -l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*2)\/((-4)\/(-32)). Let x be (-3)\/(-12) + (-9)\/4. Let g be 50 + (x - (2 - 2)). Calculate the greatest common divisor of z and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k - 2858835 + 475966 - 1790681 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -14*o**3 + 2*o**2 - 32*o - 31. What are the prime factors of i(-7)?\nAnswer: 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 54 = 3*v. Let o(l) be the first derivative of -l + 6*l + 0*l + 30*l**5 - 11 - v*l**5. Differentiate o(f) with respect to f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*q - q - 391 = 0, -j - 3*q + 141 = 0. Suppose -39*d + 38*d + j = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 162 = -0*q. Suppose -24 = -5*k + 3*i + q, -k + 17 = -2*i. Let x be ((-275)\/(-792) - 3\/24) + (-264)\/(-27). Solve -k = -5*s + x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 876 = 6*f. Let r = f + -133. Solve -2*c + n + r = 0, 4*n - n + 19 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2071, 3320, 5417, 8374, 12203, 16916?\n\"Answer: 2*h**3 + 412*h**2 - h + 1658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -294 + 583. Suppose -5*w + 281 = -z. What are the prime factors of w?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189416408 and 9980.\nAnswer: 1996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*g = -127*g + 35 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y - 15. Let i(u) = u**2 + 3*u + 1. Let s be i(-1). Let c be s + -1 - (1 + 0). Is y != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40151693 is divided by 3224.\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 0, -3*o - 2*o + 40 = 5*n. Suppose 85*f = 535 + 1250. Solve 4 + f = -o*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -344 - 27?\nAnswer: -36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**4 + 2*a**4 - a**4 + (-a**4 + 3*a**4 - 4*a**4)*(-4 + 1 + 4) + 0*a**4 + a**4 - 3*a**4 + 0*a**4 + 0*a**4 + 3*a**4 - a**4 + a**4 - 2*a**4)*(-4 + 0 + 3).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 0.35665066?\nAnswer: 5.35665066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1721250 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*l*v**2 - 76*l*v - 7136*l - 3174*v**4 - 2*v - 3 wrt v.\nAnswer: 592*l - 38088*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/3 + m**3\/3 + m**2\/2 + 4*m. Let b be (1 + 0)*(-1)\/1. What is a(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33917987.\nAnswer: 33917987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 505*s - 48954. What is u(-131)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 + 4. Let b be k(-6). Determine y so that -8*y**4 + 95*y**2 + 0*y**b + 24 - 15*y**2 + 24*y**3 + 96*y - 20*y - 4*y**5 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 9 = 0, 4*o = -2*w + 25850 - 25844 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -75, -14, -4, -31, -1, 2 in decreasing order.\nAnswer: 2, 1, -1, -4, -14, -31, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 6*x + 4. Let n be f(-4). Let p(v) = 2 + 5*v**2 + 2*v**3 - v**3 + 0*v**3 + 4*v. What is p(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -11*j - 5*l - 224, 0 = 4*j - 3*l + 97 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71190614.4 + -4995651919.6. Let p = -5066842268.0000131 - b. Let z = -266 + p. Round z to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*f**2*l**3 - f**2 + 3*f*l**2 - 3*f - l**3 wrt f?\nAnswer: -314*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152398.57 - 3540.43. Let z = 155937.84047 + p. Let k = z - -1.16. Round k to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191487936 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9*a**2 - 2*a. Let f(q) be the first derivative of -6*q**3 + 5*q**2\/2 - 1509. Give -6*f(z) - 15*t(z).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4. Suppose -4*t - 2*q + 18 = y, 8*q = 4*q - 4. Suppose -5*r = -5, -t*r + 5 = -k - 0*r. Let v(z) = z - 8. Calculate v(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 8:37 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-20)\/12)\/(3*4\/(-36)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043005 to five decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2db - -e?\nAnswer: -2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.8 - 115.1. Round r to zero decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268 divided by 4\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 6. Let p be i(-6). Let c = 34 + p. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -1\/434485 in increasing order.\nAnswer: -0.5, -0.1, -1\/434485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z, 0 = -3*b - 5*z + 2*z - 180. Is ((-3)\/(-1))\/((-3)\/b) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -y + 11, 5*p - 9 = 2*y + 4. Suppose r + 1 = -y. Let s = 9 - r. Solve -s = -3*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*u + 87, 3*g + u - 129 = 4*u. Let x be g\/8 - 15\/(-20). Determine k, given that 4*k**4 - 9*k**2 - 3*k**4 + 2*k**4 + x*k = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c + 3*c**3 - 4*c**3 + 2*c.\nAnswer: -c**3 - 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -99584\nAnswer: -47\/99584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 8:57 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + 6 - 6 - 11) + 0 + -47.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -542, -1045, -1482, -1859, -2182, -2457?\n\"Answer: -n**3 + 39*n**2 - 613*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 47200*l + 802408. Give t(-17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 + d. Let r be l(-1). Let t be r\/((-21)\/(-13556))*-9. Suppose t = u + 148668. What is u rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944477128.\nAnswer: 2, 3, 59, 2079433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**3 - 620*z**2 + 19825*z - 37210 = 0.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1675*z - 36988. Determine n(22).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274903*c*w**2 + 7*c*w + 2873*w wrt w?\nAnswer: -549806*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 2, -5*u - 86 = 5*y - 106 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (-2*sqrt(600) - sqrt(600) - sqrt(600)))\/sqrt(12) - ((sqrt(80) - sqrt(20))\/sqrt(10) + (sqrt(4)*2)\/sqrt(2)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to 44.50382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u + 57. Let n be j(-15). Suppose 0 = n*b - 385*b - 82. What is b rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 17 = 4*i, 13*x - 29 = 14*x - 4*i. Calculate the lowest common multiple of x and -4 - -2 - (2 + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:16 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*n + 5*u, -2*u = 20*n - 18*n - 28. Suppose -n*x + 96 = -2*x. Calculate the smallest common multiple of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 9*a**2 - 6*a - 7. Let z be r(11). Let d = z - 97. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(17) - (sqrt(17) + -5)**2*3.\nAnswer: -127 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8 + 9 = -r, r - 3 = 0. Let t = 0.04 + 0.06. Which is the nearest to t? (a) -0.4 (b) h (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**1*p)**(-4))**(10\/17)\/(p*p**(1\/14)*p*p**(-2)*p*(p**(-3\/10)*p*p)\/(p\/p**(3\/4))) assuming p is positive.\nAnswer: p**(-28401\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Let x be -2*(-9 + 39\/12 - -6). Put x, -1\/7, 4, n in increasing order.\nAnswer: n, x, -1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.7. Let a = t - 4.3. Let i = a + -1.2. What is the closest to 0 in -0.2, 0.3, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -641083*x**2 - 43443?\nAnswer: -1282166*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49592 = 5*c - c. Let r = 48500 + c. Let x = -13102 + r. What is x rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13550.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -5. Let i(q) = q**2 - q + 1. Let o(w) = -w**3 - 5*w**2 + 7*w - 3. Determine h*i(v) - o(v).\nAnswer: v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -4, 6 in increasing order.\nAnswer: -4, -3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -b3a6 (base 14) to base 2\nAnswer: -111100011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/15 (b) -0.13 (c) -0.0295 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15878 - -35122135\/2212. Let l = r - -74107\/11060. What is the common denominator of l and -87\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 3*h. Let o(w) = 29 + 21 + w + 32 - 82. Give -k(i) + 2*o(i).\nAnswer: -i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/2 + 387*o**3 + 1572*o**2.\nAnswer: -3*o**2*(o - 262)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1067 divided by -208\nAnswer: -1067\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:45 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/331666489 and -19\/99.\nAnswer: 2984998401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 999936.\nAnswer: 999936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*(((k\/(k\/(k**(-1)*k)*k))\/k)\/k)\/k)**(-8) assuming k is positive.\nAnswer: k**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02437325 to five dps.\nAnswer: -0.02437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cycpyppypp. Give prob of picking 2 c and 1 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 8*i + 46*i - 31*i)*(i - i - 3*i**2).\nAnswer: -21*i**3 - 156*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80711, -80697, -80673, -80639, -80595?\n\"Answer: 5*s**2 - s - 80715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**3\/3 + 302. Let n(h) = h**3 + 8*h**2 - h**3 + 1 - h**3. Calculate -n(y) + 5*q(y).\nAnswer: y**3 - 3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1678, 6751, 15228, 27109, 42394, 61083, 83176?\nAnswer: 108673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 + 0.8. Let w = -171.0008 + 171. Let y = w - -11.0008. Which is the third smallest value? (a) -1\/3 (b) -1\/2 (c) t (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59509711 is divided by 19836569.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/25 - 83\/150. Let h = -84 - -57. Let b = 29 + h. What is the smallest value in -0.3, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 2*q**2 + 0*q)*(19 - 19 - 126*q) as w*q**3 + s + b*q + n*q**2 and give w.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Suppose p*x - 165 = 8*x. Let o = x - -38. Calculate the remainder when 9 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -416 - -590. Let b = -126 + p. Calculate the smallest common multiple of b and 54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/42 - (-7)\/21. What is the biggest value in -1\/2, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35011847, 35011843, 35011839?\n\"Answer: -4*d + 35011851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 4*c - 6. Let h = 13 + -19. Let a be z(h). Is ((-134)\/a)\/(1\/(-9)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478475.\nAnswer: 5, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) -0.22 (c) 55.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 + 5. Let y = 5.4 + j. Let o(n) = 3*n**3 + n**2 + n + 1. Let d be o(-1). What is the biggest value in d, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2693013?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -451*n**2. Let r(a) be the second derivative of a**4\/12 - 693*a. What is r(m(d))?\nAnswer: 203401*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(1377)*1 + -2 + sqrt(1377)*3).\nAnswer: -4 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 - 418*b + 2517. What is the remainder when s(6) is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/17))**(-14))**(6\/7) assuming t is positive.\nAnswer: t**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w**2 - 2*w + 2 - 17*w**2 + 7*w**2. Let y be z(2). Let k = -3 + y. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 17*q**4 + 3)*(0*q + q - 9*q).\nAnswer: 136*q**5 + 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 6*o**2 - 5*o + 16. Let b(t) = -3*t - 19. Let r be b(-5). Let c be z(r). Solve -2*p - 3*k = 2*p - 7, -3*p - c*k = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*n + 130*n - 259*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28319 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011020111 + -102?\nAnswer: 10011020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1688 and 5275?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 29 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880307.8 nanometers to centimeters.\nAnswer: 0.08803078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106.3 rounded to the nearest ten?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293914142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26149346 - -75465609. Let b = c + -27686263. Round b to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 3}. What is prob of sequence gfg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -9. Let s = 0.0467 - 0.4467. Let i = -0.6 - -3.6. What is the closest to f in s, 1, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-7 - 3) + 5 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2481120.\nAnswer: -1\/620280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1145 + 1119 = 4*z + u, -1114 = -2*z - 5*u. Let b = 854 - z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.15 - -0.15. Let d = 0 - -0.1. Sort p, -0.4, d in ascending order.\nAnswer: p, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 5*o + 3. Let x(j) = 5*j**3 - j**2 - 3*j + 1. Calculate -3*v(a) + 5*x(a).\nAnswer: a**3 - 5*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v**2 - 3\/8*v**4 + 0*v + 1\/2*v**3 + 4. Factor f(h).\nAnswer: -3*h**2*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k, -2*a - 6*k + k = -168. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/3 - 4 - (-3 - -1). Let m(v) = v**3 + v**2 - v - 2. Calculate m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/7)\/a)*a\/(a\/a**(-3\/4)*a))\/(a**5*a*a\/(a**(1\/4)*a*a)) assuming a is positive.\nAnswer: a**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.685 from -68.4.\nAnswer: -67.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664937680.\nAnswer: 2, 5, 11, 19, 39769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 2. Suppose v*x = 12, 5*z + 3 = -4*x + 10. Which is smaller: z or 1\/55?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + ((-72)\/(-180))\/((-2)\/80).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 5*g**3 - 270*g**2 - 720*g.\nAnswer: 5*g*(g - 8)*(g + 3)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250086 equal to 4250086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.367 * 141.\nAnswer: -192.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 72237 = 130563. Is 50 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 plus 5?\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*l - 3*t, t + 6 = 2. Suppose -2*f = -2*u - 36, 0 = -4*f - l*u + 12*u + 66. 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 the next term in -1181, -4108, -10575, -22352, -41209, -68916?\nAnswer: -107243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1092\/168)\/(-1 + 0 - 6\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**18)**49 assuming a is positive.\nAnswer: a**882","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*w - 16 = 0. What is the third derivative of 6*i**2 - 4*i**2 - 5*i**w + 4*i**2 + 5*i**2 wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 1, 0.175, -0.012?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186075 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4012\/60 + 2\/15. Suppose m*y = 64*y + 516. What is the remainder when 19 is divided by -2 - (-48)\/28 - y\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Suppose 6*k - 2*k + a - 21 = w, -27 = -3*k - 3*a. Let b be (-430)\/(-6) - k\/(-12). What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 81\/(2\/(-8*4\/(-16))). What is the greatest common divisor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -3847, -12975, -30745, -60037, -103731?\nAnswer: -164707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 845*d**3*k**2 - 421*d**3 + 5*d**2*k**2 - 3*d**2*k + d + 2*k wrt k.\nAnswer: 1690*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g**2 - 3*g + 3. Let y(i) = 98*i**2 - 28*i + 28. What is 28*b(m) - 3*y(m)?\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 186, 739, 1688, 3033, 4774, 6911?\n\"Answer: 198*n**2 - 41*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d**3 + d**2 + d. Let c be 3\/2*(-8)\/12. What is r(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 - 7*y**2\/2 + 652*y + 752. Differentiate l(i) wrt i.\nAnswer: -2*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-7 - 14)\/(-882)). Is r at most as big as 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/16 and 35\/335256?\nAnswer: 670512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h - 148. Let n be u(31). Suppose -8 - n = -2*d. Calculate the greatest common divisor of 144 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47 - b8?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 411, 5089, 14031, 27237?\n\"Answer: 2132*i**2 - 1718*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {p: 4, g: 5, v: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6025 - -6025.1. Sort h, 1\/3, 2\/7, 0.08, -24 in descending order.\nAnswer: 1\/3, 2\/7, h, 0.08, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -2\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/7))**(-19))**12)**(-5\/3) assuming h is positive.\nAnswer: h**(2280\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*v - m - 12 = 188*v, -v = 2*m - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 153 + 84. Let y be ((-41)\/(-5) - -3)\/(1\/(-40)). Let l = b - y. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.377904 kilometers to micrometers.\nAnswer: 377904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 559.\nAnswer: 1\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 317?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270695 = 45*g - 201535. Is 159 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/16)\/(11*20\/(-880))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -7 (b) -2.21 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/6)\/((-3)\/18). Find the third derivative of 22*t**3 - 45*t**3 + 39*t**6 + 23*t**3 - a*t**2 wrt t.\nAnswer: 4680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 330 - 333.94. Let m = -0.06 + r. Which is the nearest to -1? (a) 0.1 (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 2. Let p(k) = -k + 2. Calculate -6*c(j) + 7*p(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-784)\/64 + 11176\/(-4576)?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 4*c - 3*j - 150, 5*j - 350 = 5*c. Let p be (-2)\/(274\/2790 - (-8)\/c). What is the highest common divisor of 62 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + j**4 - j**4 - 36 + 3038*j**4 + 52 - 16 + (2 - 2 + 2*j)*(j**3 + 0*j**3 + j**3).\nAnswer: 3040*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6595655402 rounded to two dps?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094 is divided by 158.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -159 + -23a?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3382848 divided by 64.\nAnswer: -52857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 t when three letters picked without replacement from {c: 2, t: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/5 - 29*k**3\/5 + 239*k**2\/5 - 619*k\/5 + 408\/5 = 0 for k.\nAnswer: 1, 3, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -34. Suppose 2*b + y + 27 = -0*b, r*b - 2*y = -54. Let d = 101 - b. What are the prime factors of d?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwaaaaw. What is prob of sequence awaa?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/36*4)\/((-1940)\/2328)*(-90)\/(-280)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323 + 329. Calculate the lowest common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07295 to three dps.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t. Let g(w) be the second derivative of -3*w**3\/2 + 24*w. Suppose 0 = 6*o - 32 + 104. Let h = -16 - o. Give h*g(u) - 7*r(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h**2 - 33*h**2 + 57*h**2 - 503*h**3.\nAnswer: -503*h**3 + 64*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -8. Suppose -26 = -2*d + x*m - 2*m, 3*m + 9 = 0. Solve 0 = 2*n + 1 - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + 2*s - 2*s)*(-20*s**3 + 33*s**3 + 54*s**3) in the form h*s**3 + b + o*s**4 + v*s**2 + j*s and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1039, 2728, 5067, 8056?\n\"Answer: 325*z**2 + 714*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 - 2*i**2 + 0*i**2 + (-3*i - 1 + 5*i - 3*i)*(3*i + 3*i - 7*i).\nAnswer: -5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -67 in 0, -5, -2\/17, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 - 96 = 33*o. Let t = -1.98 - 0.02. What is the closest to 0.1 in t, 3, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(5\/2))\/(i\/i**(-2\/15)))\/(i**(-2\/7))**(-29\/4)*(i**(-5)*i**(-1))**(-1\/10) assuming i is positive.\nAnswer: i**(199\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 6*t**2 - 4*t + 6. Let v = 16 - 47. Let l = 49 + v. What is the remainder when h(-5) is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/19, -4, 2, -296, -1\/57, -0.4 in descending order.\nAnswer: 2, 1\/19, -1\/57, -0.4, -4, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/60 and -41\/65100?\nAnswer: 65100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5425*l**3*v**3 - 18840*l**3*v**2 + 3*l**3 - 126*l*v**4 + 7*l*v**3 - 54*l*v**2 wrt v?\nAnswer: -32550*l**3 - 3024*l*v + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 11:39 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let r(l) = l**2 - 7*l + 9. Let g(x) = 5*j(x) - r(x). Let w be g(10). Suppose -w*z + 4 = -4*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -655*k*t*v**2 + k*t + 3*k*v**2 - 40*k*v - 10*k - t*v**2 + 2*v wrt v?\nAnswer: -1310*k*t + 6*k - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 - p - 1. Suppose 0 = 7*g - 2*g + 5. Let v be d(g). Solve h = v*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 321*c + 2504. Let r be i(-8). Solve r = -0*q + 3*q + 2*k - 1, -k = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, -887, -5, 0, -112 in decreasing order.\nAnswer: 4, 2, 1, 0, -5, -112, -887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -27.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 301 + -291 + (-108)\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -6. Let l(j) = -7*j + 9. Let f(g) = 4*g - 5. Let m(y) = x*f(y) - 6*l(y). What is m(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + 2*l + 1. Let n(v) = 3*v**3 - 3*v - 2. Suppose k = -4*s + 14, 2*s + 2*k = -2*k + 14. Give s*n(c) + 5*r(c).\nAnswer: -c**3 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k + 8*k + 3*k as o + g*k and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -33 - (186 - 142)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 + 4*b + 10. Let i(o) = o + 1. Let k(r) = -4*i(r) + m(r). Find the first derivative of k(j) wrt j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 32685*h + 163300 = 0. Calculate h.\nAnswer: 5, 6532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Let o = -15 + 15.1. Let p = -3 - -5. What is the nearest to o in -1, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) - (sqrt(162) - (sqrt(162) + sqrt(162)*-2))) + sqrt(162))\/sqrt(9))\/(sqrt(72)\/(-2*sqrt(12))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -10. Which is smaller: q or 9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 4224?\nAnswer: 4229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(-1387*x - 1 - 1392*x + 2766*x) to j + q*x and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121805955 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(51)\/sqrt(3))**2.\nAnswer: -99 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6557\/166*(1 - -205). Calculate the highest common factor of w and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 85 - 91. Let f be d\/3*(22\/4 + -7). Solve o - 2*t = -3*t - 7, -t + f = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*p**3 + 8*p**3 - 8*p**3 + (-5 + 1 + 3)*(-4*p**3 + p**3 + 0*p**3))*(4 - 4 + p).\nAnswer: 152*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175941 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -24*i - 183. Let j(n) = -107*n - 734. Give -2*j(y) + 9*u(y).\nAnswer: -2*y - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73\/77 + 12\/11. Sort 4, a, -1.\nAnswer: -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*r - 151*r - 278*r - 8265 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 10*u = 927. Suppose -939 = -5*a - u. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866835172 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 1895*i + 11550.\nAnswer: -5*(i - 385)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 + 4912*z + 48919. What is p(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.2964*-0.05\nAnswer: -0.21482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 365, 310, 233, 134, 13, -130?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 equal to 2882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1208 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) - (-2*sqrt(228) - sqrt(228)))*6)\/(sqrt(1200) + sqrt(1200)*-4) - (4*sqrt(1539)*2 + 0)*-3)**2.\nAnswer: 31666939\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 9:46 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1056 = -15052*y + 15118*y. Put 0.5, 2\/9, y in descending order.\nAnswer: y, 0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-17)\/((-3944)\/(-24)))\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 2\/3. What is the third biggest value in v, -2\/7, 8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -r - 22, 17*r - 14*r + p = 4. Does 14 divide (-549)\/(-2)*(r - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 623.5 + -624. Let r = -9 + 5. What is the biggest value in r, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Let w = u - 11. Let l = w - -6.7. Which is bigger: -0.1 or l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1918 + -1676. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -9, 5, -5, 74, -0.06 in ascending order.\nAnswer: -9, -5, -3\/8, -0.06, 5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4520000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbx. Give prob of sequence bxb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, f: 4, q: 1, a: 2, t: 3}. What is prob of picking 1 f and 1 p?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.03 (c) 0.02 (d) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(12)\/sqrt(2))*6.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -13. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 19*v**5\/60 - v**4\/24 - 3*v**2. Calculate the remainder when 59 is divided by f(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -415487 smaller than -4570351\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -570285 or -570284?\nAnswer: -570285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-759)\/44)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-10))\/(120\/300))\/118\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -587 - -587. Let a be (-1)\/(-2)*8\/2. Let x be (5\/15)\/(a\/36). Put x, 5, j in descending order.\nAnswer: x, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142997\/36 + -7951\/2. Find the common denominator of a and 5\/102.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y, -5*a + 5*y = -0 + 30. Let v be (-32)\/a*(-12)\/(-16). Suppose -v*m + 85 = m. Calculate the greatest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33577 not equal to 33576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2 = -0. Let p(x) = 3*x**2 - 4*x - 6. Let c = -13 - -8. Let s(f) = -20*f - 15*f + 36*f - f**2 + 90 - 89. What is c*s(y) + q*p(y)?\nAnswer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-7 + -2 - (285678\/(-540))\/59)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18774?\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 528\/415, -4, -2 in increasing order.\nAnswer: -4, -2, 1, 528\/415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 20*p**2 - 32*p + 77. Let t be u(-18). Put 1.15, 0, t in decreasing order.\nAnswer: t, 1.15, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 15 - 0. Let t be i + -1 - (1 + 1). Suppose t = 3*l - 12, -2*n - n + 4*l = 4. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 9 = -17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/282570 and -1\/1920.\nAnswer: 18084480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 55. Let h be (-4)\/(8\/(-3))*(m - 2). Solve 8*l + 17 = 3*l - 2*g, -5*g = h*l + 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrfftfrrfjzrrrrrrtt. Give prob of sequence ffjt.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 - -4 - 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20326.017705 - 20326. What is b rounded to four dps?\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.344903 rounded to 0 decimal places?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 - 86314*l**3\/7 + 4326554*l**2\/7 + 5680714*l\/7 + 1267860\/7 = 0. What is l?\nAnswer: -6215, -1, -2\/7, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/144*6)\/(1\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -17.1. Let f = m + -4.7. Which is the second smallest value? (a) 10 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4142 + 400?\nAnswer: 10042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-3*1 + 2*sqrt(70)*-1)\/(sqrt(80)\/sqrt(72) - (sqrt(70)\/(sqrt(28)\/sqrt(4)) - sqrt(10))).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(44) - (sqrt(44) + -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p + 217. Give z(-23).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38004?\nAnswer: 2, 3, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, 7, -17 in descending order.\nAnswer: 7, 0.1, -0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 + 3*t**2\/2 - 4*t - 6. Let a(h) be the first derivative of l(h). Calculate a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -791330*q**2 - 11*q + 1. Let s(d) = 18*d. Calculate s(p(v)).\nAnswer: -14243940*v**2 - 198*v + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2222513 - 10?\nAnswer: -2222523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*g**3 - 81*g wrt g.\nAnswer: 936*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**(4\/13))\/m)*(m\/(m\/m**(-25)))\/m*(m*m*m*m**(1\/4))\/m*m\/(m*(m\/((m\/(m\/m**(-7)))\/m))\/m))**(-36) assuming m is positive.\nAnswer: m**(14247\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62369239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 q, and 1 x when three letters picked without replacement from {y: 1, q: 2, i: 6, x: 4}?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 640*x - 3180. Let o be w(5). What is the fifth smallest value in -1, 4, -0.5, o, -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 4*s = 11, -3*v + 3*s = -12. Determine t, given that -21*t**3 - v - 174*t - 17 - 1 - 45 + 267*t**2 = 0.\nAnswer: -2\/7, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(sqrt(128) + 2)**2 + (3*1*sqrt(128)*6)**2)*-4.\nAnswer: -166420 - 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1985 - -5268.3015. Round r to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 16*n**2. Let w(v) = v**2. What is 2*s(r) - 40*w(r)?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -189882 divided by 10549?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.827 + 0.173. Let h = 656.9 + -657. Which is the nearest to h? (a) -2 (b) 3\/5 (c) 0.2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/364 and 9\/(-6) + 8965\/7700.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 2160*c**2 - 310500*c + 14850000.\nAnswer: -5*(c - 150)**2*(c - 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 330741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247052 - 123526 - 123526 - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.13 + -2.87. What is the nearest to -0.2 in u, -0.4, 0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5 + 486*h**4 + 29278*h**3 - 30254*h**2 - 29280*h + 29768 = 0.\nAnswer: -122, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -193*i + 184*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - w**2 - 7*w**3 + 2*w**2 - 2*w**4 - 4 - 5 - w to the form h + x*w**2 + g*w**3 + k*w**4 + m*w and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2283 - 2283. Sort 5, 3\/7, -12, b.\nAnswer: -12, b, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 225*-6\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/4 - 4*l**3\/3 + 2*l**2 - l - 7. Let y be -5*(-1 + (-6)\/(-15)). What is m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 8:19 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {w: 1, p: 3, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2503937545?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 8724094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/124164856 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - -109. Let m be 2 - ((-1)\/2 + (-1)\/2). Suppose 3*r - 172 = 4*v, 3*v - a = -m*r + 18. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3360 and 28560.\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2884 - 2882. What is the biggest value in 0.2, q, 4, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1925)\/(-66))\/25*-6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2109*j + 10*j**2 - 2109*j. Suppose 35 = 3*u + 4*l, 2*u - 2*l = -0*l. Let p(c) = 5*c - c - u*c. What is p(q(r))?\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-21)*1*21\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 507*v**3 - 999*v**3 + 511*v**3.\nAnswer: 19*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 97.43, -4, -2\/9, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and -9289 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atnn when four letters picked without replacement from {t: 1, n: 2, a: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*h + 5*l - 22, 5*l - 5 = -5*h. Suppose 2*w - 79 = -2*w + 3*g, -5*w + 3*g = -101. What is the remainder when ((-82)\/(-2))\/(h - -4) is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m - 9. Let f = 12 + m. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183489 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1752)\/(-108) + (-2)\/9. Suppose k - 6 = 2*p. What is the common denominator of -33\/7 and (-3)\/p + 1244\/(-60)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110630 + -110520 - ((34 - 0) + 0)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/(-9) - (-8)\/12. Let i be (b\/27)\/(2\/(-18)). Solve -i*h - h - 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let u be r(-1). Suppose 2*b + u*h = -3*b - 170, -136 = 4*b - 4*h. Let z = b + 44. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*a - 25*a + 47*a + 16*a.\nAnswer: 96*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2570, -2572, -2584, -2612, -2662, -2740, -2852, -3004?\n\"Answer: -o**3 + o**2 + 2*o - 2572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + (sqrt(40)\/(sqrt(8) + 2*sqrt(8)) + sqrt(5) - (sqrt(605)*1 + sqrt(605) + sqrt(5)))))**2.\nAnswer: 4680*sqrt(5) + 84824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 4*k - 1. What is n(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -20*l - 312 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**6\/120 - v**5\/20 - 7*v**4\/24 + 7*v**3\/6 + v**2. Let u be 30\/45*9\/1. Does 16 divide f(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238649614 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23000 (base 4) to base 15.\nAnswer: -31e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*w + w. Suppose 5*i - 42 = -4*s, w*i - 19 - 23 = s. Let h(c) = 10*c**2 + 7*c + 4. Let b be h(-2). Calculate the highest common divisor of i and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803.8 rounded to the nearest ten?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 105\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 14. List the prime factors of (-10)\/(-15)*3 + s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:07 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 4*z**2 + 4*z - 4. Suppose 13 = 2*o - 11. Let n = -9 + o. What is the units digit of s(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11064800 divided by 1106480?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 28*a**2 - 33*a - 5. What are the prime factors of u(7)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3458501558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 11*u**2 + 5*u - 12. Calculate m(11).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y - 73. Let d(j) = j**2 + 2*j - 6. Let h be d(-5). Calculate the remainder when 181 is divided by w(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1814.612794 + -17502.410096. Let c = -19322 - f. Let k = -4.98 - c. What is k rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (5 - 7) - -1. Let f(a) = -2*a**2 + 5*a. Let q(g) = -g**2 + 2*g. Let z(r) = 3*f(r) - 5*q(r). Let u(w) = -w**2 + 6*w + 1. Determine n*z(x) - 3*u(x).\nAnswer: -x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*w = 335*w + 365*w - 94*w - 33969 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 2. Let w(j) = 13*j - 9. Let n be ((-18)\/(-4))\/((-10)\/20). What is n*m(x) - 2*w(x)?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0364 times -3717?\nAnswer: 135.2988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16342789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:30 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.2, 5\/8, -10\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*d + 14 = -21, 4*d + 40 = 4*a. Suppose 30 = a*p + 2*t, -3*t - t - 20 = 0. Suppose -2*n = p + 2. Put -2, -11, n in descending order.\nAnswer: -2, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)*l*l\/l**(-1\/3))\/((l**(1\/6)*l)\/l*l)**(9\/2) assuming l is positive.\nAnswer: l**(-269\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 33 - 3*c - 14 to the form z + f*c and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067034 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**4 + 2*k**5 - 3*k**5 + 0*k**4)*(-12 + 2 + 0).\nAnswer: 10*k**5 - 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46332 divided by 3861.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -520230 (base 7) in base 5?\nAnswer: -10321311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-96))\/((-14)\/(-8))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and -7\/2773.\nAnswer: 27730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ieiiiiiieiiiiiiiii.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a\/((a*(((a*a\/a**(-7))\/a)\/a)\/a)\/a)*a)\/a)**(-30\/7)*((a*a**(-13))\/a*a)\/a*a*a**11*a assuming a is positive.\nAnswer: a**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 240. Let g = h - 58. Suppose 10*l = g*l - 616000. Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.519 - 4.488. Let m = z - 0.131. Let n = m + -4.899332. What is n rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.7 + 10. Let x = d - 5.3. Let o = 1.7 - 0.9. Is x greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3760 smaller than -3623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44772 is divided by 22381?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 2*k - 216 = 3*g, 4*g + 3*k = 170. Suppose g + 81 = -5*s + 4*c, -36 = s - 3*c. What is the common denominator of 7\/s - (-235)\/(-24) and 53\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1256 - -5?\nAnswer: -1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(95)\/sqrt(5) + sqrt(19) + sqrt(19) + -3)**2*-5.\nAnswer: -1565 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/4 - 2*n**3 - n**2\/2 + 10*n - 15. Let y be g(6). Solve -2*h = 5*c - 2, c + y*h + 12 = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:30 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2640 and 1584?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 13 + 3*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743840844?\nAnswer: 2, 19, 23, 1569703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - 4*q - 33, 0 = 220*m - 218*m + 6*q + 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -973 + 7b46b?\nAnswer: 7a6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 12. Find the second derivative of -y*u - 2*u**3 + 0*u**3 + 3*u wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98327.48 litres in millilitres?\nAnswer: 98327480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*f - 72852, -71*x + 182094 = -66*x - f. Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 - (-2 + -3 - 6). Solve -4*w = 5*z, -z - 3*z - 3*w = n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441 and 392.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvzvzzzzvvzvzzvz. Give prob of picking 4 z.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25158 is divided by 569.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2097*f + 12626. Determine c(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g**3 - 24*g**2 + 32*g - 215. Is l(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1229 = -148*u + 9813. Calculate the highest common factor of u and 1856.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1736282 - -1737112.527. Let b = j + -831. What is b rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3440*r - 3572*r + 3696 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -277972 + 3*x + 277972 - 5*x. Let o be -2 + (-1 - -4) + -8. What is z(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*d + 2*d + 3*d to b + f*d and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -21179\nAnswer: 44\/21179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.16, -4800, -32?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*z**3 + h*z + 867*h - 45*z wrt z?\nAnswer: -3*h*z**2 + h - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105 + 105.248. Let w = j - 31.048. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-6) - (50\/60 - 15). Solve 0 = q - z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let h be 0\/1*(-6 + 7). What is the remainder when (m - h) + (6 - 0) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 235 + -240. Put 11, -2, y in decreasing order.\nAnswer: 11, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**2 + 448*q. Give j(-64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -68527 * 746\nAnswer: -51121142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b - 0. Suppose -c - 3*z = -9, -b*z + 5 = 4*c - 5*c. Let n(u) = 2*u + 22. Let o be n(-9). Sort -1, c, o in ascending order.\nAnswer: -1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b**2 - 13*b + 8. List the prime factors of x(2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16454198 is divided by 145612.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*c**2 + 37*c**2 - 38*c**2)*(1 - 2 - 6*c - 1) + c**3 - 4*c**3 + 4*c**3.\nAnswer: 397*c**3 + 132*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 + 22*m + 59. Let s be p(-7). Let i(u) = 7*u**3 - 2*u**2 - 5*u - 1. What is the remainder when i(s) is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1736 + -883. Suppose 3*s - 2746 = -z. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -5\/4 (c) -1 (d) 1 (e) -31 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05618552096438 and 73?\nAnswer: 73.05618552096438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m**3 - 21*m**2 - 2*m - 3. Let g(q) = 130*q**3 + 210*q**2 + 21*q + 32. Calculate 21*d(k) + 2*g(k).\nAnswer: -13*k**3 - 21*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*v**2 + 122*v + 184*v - 15*v wrt v?\nAnswer: 464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 18*y**2 - 88*y + 20. Let j be g(-22). Solve -b - w = -0*b, 4*b = w + j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -539.9835 - -540. Let r = -0.0164894 + t. What is r rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -216, -326, -436, -546?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/273 - 26\/273. What is the closest to 0 in 24, 3\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 3*o + 1. Let c be q(-2). What is the second derivative of c*w**3 - w - w**3 + 5*w - 5*w wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + -1. Let l = f + 8. Let y = l + 1.0000004. Round y to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/22 and (-51)\/102 - 157\/(-104)?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.5 + 8.5. Which is the closest to 1\/10? (a) -1 (b) 13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -822*f**3 - 10*f**2 - 22*f - 8. What are the prime factors of s(-4)?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 16*l**2 - 8*l + 4. Let x(i) = i**2 + i. Let j(q) = -t(q) - 6*x(q). Let y be -1 - 18\/4*-2. What are the prime factors of j(y)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12606, 50476, 113592, 201954, 315562, 454416?\nAnswer: 618516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2257820, -9031386, -20320670, -36125678, -56446416, -81282890, -110635106, -144503070?\nAnswer: -182886788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4467 to two dps.\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 30*q**2. Let m(i) be the first derivative of 14*i**3\/3 - i**2\/2 - 8919. Determine m(t(l)).\nAnswer: 12600*l**4 - 30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:03 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(24) - (sqrt(216)*-5 - sqrt(24))))\/(3*sqrt(200)*-5).\nAnswer: 68*sqrt(3)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2349 and 464.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 221 + -679\/3. Suppose 2*q - 5*p - 13 = 0, q + p = -0 - 11. Let r = m - q. Which is the nearest to 3? (a) 2 (b) 5\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210000220 (base 3) in base 2?\nAnswer: 11101111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 + (1 - (5 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 5782*h + 178281 = 0. What is h?\nAnswer: -5751, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 7820*n - 3057620.\nAnswer: -5*(n + 782)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15563 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4606*j - 2304*j - 34*j**3 - 17*j**3 - 165*j**3 - 2303*j.\nAnswer: -216*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 12 = 3*j. What is the first derivative of 2*f**4 - 1 + 2*f**j - f**4 wrt f?\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*4\/18*-3. Suppose d - 101 - 103 = -4*x, -k*d + 140 = 3*x. Suppose -5*t + t = -x. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186670 divided by -154\nAnswer: -8485\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 186\/8 - 7\/28. What is the greatest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 2*m)*(-51 + 4*m + 3*m + 49).\nAnswer: 7*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 1.55. Let g = f + 1. Let l = -25264\/17 - -1486. Which is the second biggest value? (a) l (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3554310 by -257.\nAnswer: 13830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.0005 - -11. Round p to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - x + 20, -3*c - 13*x + 14*x - 155 = -19*x - 8*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 507 + 409 = -f, 2*g + 1792 = -2*f. Let d be (-378)\/(-22) + (-7 - f\/132). Calculate the highest common factor of 1649 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18019 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/(-20))\/(-8))\/(-13*12\/(-24180))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u**2 - 14*u - 2. Let w(j) = j**2 - j + 2. Let m(s) = 2*w(s) + y(s). Find the second derivative of m(i) wrt i.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/2 - 4241*l\/2 = 0. What is l?\nAnswer: 0, 4241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 318866803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:26 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000222220 + 101120?\nAnswer: -1000121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in -6803, 3\/7, -2, 1\/7, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*z - z = 6279, 4 = 4*z. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 4:27 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6560 is divided by 1090.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let d = -60.39 + 34.1. Let c = d + 26.1. Is t != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*z + 2 - 17 = 0, 0 = j + 5*z + 21. Suppose -12 = -3*l - 3*s + s, -s + 3 = 0. Sort j, 3, l in ascending order.\nAnswer: j, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 4. Let m(a) = -a + 4. Let o be m(5). Let j(f) = f**2 + 1. Suppose 0 = 4*k - 2 - 2. Let l(c) = k*j(c) + o*y(c). Determine l(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - 3*j + 2*j + (-3*j + j + 4*j)*(0 + 2 + 0) + 0 + j + 0 + 2976*j - 16635*j - 14660*j + 3013*j - 1076*j.\nAnswer: -26376*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 3*m - 9. Let g be 34\/(-10) + -3*(-2)\/15. Calculate the smallest common multiple of 24 and o(g).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/4 + x**2 - x + 439. Let p(j) = -j. Determine d(h) - p(h).\nAnswer: -h**3 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49 in -1, 0.25, 2\/1437, 0.1?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2380620 to the power of 1\/2, to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/16 and 65\/7564?\nAnswer: 30256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.096 - 2.098. Let d = h - -0.194. Let n be 2\/((2 + 1)\/6). What is the smallest value in d, n, 1\/2, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1891438 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010100101010011000100 (base 2) in base 6?\nAnswer: 252224340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53495452 divided by 26747726.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 4:57 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 4*k. Suppose 2*i = 4*z - i - 10, -z + 4*i - 4 = 0. Solve k = m + z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969504991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1. Let f(c) = -2*c + 1. Let b(m) = f(m) + g(m). Let z(y) = -101*y**2. What is b(z(j))?\nAnswer: 202*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -4*r + 28. Let x be r + (12 - 2)\/((-3)\/(-3)). Solve y = f, 0*y = 3*f + y + x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -270 + 273. Solve 0 = -w*m + t - 12, m = -7*t + 2*t + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 6*a - 6. Let x be b(-7). What is the closest to -0.1 in x, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 19590265*u. Let s(g) = -2*g**2. What is s(i(h))?\nAnswer: -767556965540450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 1 (b) -22 (c) 0.11 (d) -0.4 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 447\/5 + (-6)\/(-10). Suppose -5*n + 560 = k. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 130a5?\nAnswer: -130a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100599 - -100599.0044653. Round w to five dps.\nAnswer: 0.00447","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Let d = -162 + 281. Suppose -d = -17*l - 34. Solve 5 + h = l*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - -58 - -13 - (-1 + -9 + 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*f - 2 - 0, 16 = -4*f. Let r(k) = k**3 - 5*k**2 + 5*k. Let q be r(4). Suppose 9*l = q*l + u. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**4 - 1472*c**3 - 1464*c**2 + 1472*c + 1468 = 0.\nAnswer: -367, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28422933 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (18 - -2)) + 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.245 - -71.555. Let d = -63 + y. Let m = 10 - d. Round m to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - k**2 + 27*k - 7. Let l be y(4). Solve -2*d + l = 3*j, -3*d + 2*j - 4 = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 143?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 4*n**2 + 4*n + 2. Suppose -d + 1 = 3. Let j be i(d). Let g(b) = -b + 1. Let o be g(-5). Solve -5*r + j = o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65844791 and 782?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**2 - 67*f**3 + 68*f**3 - 4 + 3 + 3 + 2*f. Suppose 2*z - 6*z - 20 = 0. What is the remainder when 30 is divided by b(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 1195*z\/4 - 1193\/2.\nAnswer: -(z + 2)*(z + 1193)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*u - u - 7, 2*u - 4*v = 26. Suppose 5*p - 66 + 31 = 0. Calculate the lowest common multiple of u and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 31*c - 67. Solve 5*n = i + 28, -4*i - 3*n = -c*i - 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -g**5\/270 - g**4\/36 + 4*g**3\/27 - 33*g**2 - 47. Let t(r) be the second derivative of n(r). Factor t(d).\nAnswer: -2*(d - 1)*(d + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 79447*r**3 - 4*r - 79441*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 20 = 2094*s + 9 + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36208 and 417994204.\nAnswer: 9052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57390, 57387, 57382, 57375, 57366, 57355, 57342?\n\"Answer: -o**2 + 57391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 8*p**2 - 6*p - 3. Let m be d(7). Suppose 6 + 3 = 3*c. Let y = 3 - c. Solve -w + m*u - 2 - 8 = y, -4*w = 4*u - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455012 (base 6) to base 9\nAnswer: -58038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 257 = 87. Which is the second biggest value? (a) -0.5 (b) 10 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-5) + -2 - -6. Suppose -3*d = v - 7, x*v + 18 - 2 = 4*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133130809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3060 and 360.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose 0 = 4*v - 2*i - 50, l*v = -2*i - 2*i. Calculate the highest common factor of v and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 6*t + 20 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 42 * 0.09\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909485 is divided by 1030?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-171)\/(-42)*(-4)\/(-6). Let x = 0.003 + 0.157. Which is the nearest to 2? (a) x (b) f (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)*12\/(-28). What is the second biggest value in 0.1, 1\/5, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/99485 and -53\/1094335?\nAnswer: 1094335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/143 + (-568)\/(-22). Suppose 4*p + 8 = 0, -3*x = x + 5*p + f. List the prime factors of (-4)\/40*x - 246\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.18 + -3.58. Let b = -0.03 + 0.01. Let g = 0.282 + 0.018. Put b, 1, o, g in increasing order.\nAnswer: o, b, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -26\/51 (b) 119 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 61. Calculate the greatest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 18632*o**2. Let h(x) = -x - 34. Let d(b) = -4*b - 153. Let n(f) = -4*d(f) + 18*h(f). Give j(n(z)).\nAnswer: 74528*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 167.75 and 385.\nAnswer: 64583.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*-2)\/sqrt(2) - -3*sqrt(2160))\/((sqrt(5808)*-1)\/(-4*sqrt(12)\/sqrt(3) + sqrt(4))).\nAnswer: 48*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374 divided by -34.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-1)*(1350\/45)\/150.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-270))\/((-7)\/(-63))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2692 is divided by 531.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 + 35*q**3 + 15*q**2 - 95*q - 70.\nAnswer: -5*(q - 7)*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) + 3)**2 + 3 + (sqrt(231)\/sqrt(112))\/sqrt(11).\nAnswer: 25*sqrt(3)\/4 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 491?\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-40) - (5\/4 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 3744 = -20*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h - 20 = -37*h, 0 = -4*s + 3*h + 868901. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**2. Determine d(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016567 minus -3699?\nAnswer: 3698.983433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*q = -0*w + 249, 4*w = -5*q + 513. What is the remainder when w is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*o, -2*s - 3*o + 23 = 2*s. Solve -s*v = -4*v + 8, -3*r - 2*v = -11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 1\/6 (b) -51 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -598*i**3*o + 2*i**3 - 40*i wrt o.\nAnswer: -598*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -105*h + 11. Let r(o) = 40*o - 4. Let s(d) = -3*l(d) - 8*r(d). Suppose 3 = -4*a + 7. Suppose 0 = -2*v + 2*c + 5 - a, 4*v = -5*c - 37. Calculate s(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 280*u - 809 + 277*u - 549*u as h*u + y and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -1\/15*q**5 + 0 + 0*q + 1\/3*q**3 - 1\/120*q**6 - 1\/12*q**4 - 5*q**2. Determine b(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 75) + (-85 + 45 - (-14 + -5)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -83. What is the smallest common multiple of x and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2391*b**4\/8 - 6541773*b**3\/4 + 65543841*b**2\/8 + 22896588*b - 115017\/2 = 0.\nAnswer: -5477, -2, 2\/797, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by (-3)\/24*-20*14.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53205681 rounded to the nearest 100000?\nAnswer: 53200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zztz when four letters picked without replacement from zztzztzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 11. Let y = 15 + -25. Let w be h(y). Let q(a) = 21*a**3 + 1 - 48*a + 30*a + 18*a. Calculate q(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + sqrt(336)\/(sqrt(12)\/sqrt(2)))\/sqrt(4))\/(5*sqrt(56)\/sqrt(7)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.7626671 to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29872?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 100*z**2 - 18*z - 324. What is n(-50)?\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 47*x + 17. Let s be p(-9). Sort -1.1, s, 4 in ascending order.\nAnswer: -1.1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 0*d**2 + 5*d**2 + 2*d - 5*d**3)*(0*d - 4*d + 5*d).\nAnswer: -5*d**4 + 2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -41*c**2 + 3 - 8 + 25*c**2 - 3*c**3 + 2*c**3 - 16*c. Let d be l(-15). Calculate the greatest common divisor of d and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -8.03. Let p = g - -10. Let o(r) = -r**3 - 2*r**2 + 3*r + 3. Let n be o(-3). Which is the smallest value? (a) p (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12437274 to the nearest 10000.\nAnswer: 12440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -432 - -264. What is j rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t - t - 3*t)*(-130 + 285 + 190) + (3 - 3 + t)*(2 + 2 - 6) + 3*t - t - t - 3*t + 0*t + t in the form b*t + z and give b.\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 34*a - 16*a = 324 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 100*s - 6. Let a be v(4). Suppose 0 = -5*f + 4*n + a, -3*n + 5 = -8*n. Suppose -x + 3*x = f. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 268 (b) -1 (c) -2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f, -7*b + 2*b + f - 18 = 0. Let p = 4 - 6.4. Let t = 2.3 + p. Which is smaller: b or t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1455695896208 + 2.3\nAnswer: 1455695896210.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/15*36\/24.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.5, 0.5, -80 in decreasing order.\nAnswer: 0.5, -0.3, -0.5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12198, 12344, 12490, 12636, 12782, 12928?\n\"Answer: 146*u + 12052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q*q**7)\/(q*(q*q*q**1*q)\/q)**1)\/(q**7\/q**(-1\/6)*q**(4\/7)\/(q*(q*q**(-1\/2))\/q)) assuming q is positive.\nAnswer: q**(-131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/4*6*7\/21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5, -1, 3\/4, 122?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2320 is divided by 234?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10143 + 19792. Does 103 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(((sqrt(637) + sqrt(637) + 0 + sqrt(637))*-3 - ((sqrt(637) + 1 - sqrt(637)) + 3)) + 2 + (sqrt(637) + 0 + sqrt(637) + sqrt(637))*6))**2.\nAnswer: -12096*sqrt(13) + 1857748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q. Let d(m) = -m. Let b(p) = 11*d(p) - 2*i(p). Let t(c) = 0*c - 2*c + 5*c. Let w(y) = -y. Let f(j) = t(j) + 4*w(j). Give b(f(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -92, -2, -89, -0.3, -4?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-54) + (-21)\/18)*(-299)\/(-8 - 15).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 1) + 20 - (-15 + -7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2 - -7)*3)\/1. Suppose -9*o - w + 51 = 0. What is the remainder when 20 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (((-60)\/2)\/(-2))\/((-2940)\/1764)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 236. Let w(y) = 2*y - 237. Let n(x) = -3*v(x) - 2*w(x). Let p(d) = 2*d**2. What is n(p(i))?\nAnswer: 4*i**2 - 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4324, 4322, 4318, 4312, 4304?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**2 + 6*i + i**3 - 3 + 3*i**2 + 4 - 6. Does 39 divide c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 34*f - 72. What is the remainder when k(-13) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*n**3*o + 4*c**3*n**3 + 6*c**3*n*o + 17*c**2*n**3 + 2*c**2*o wrt c?\nAnswer: -42*n**3*o + 24*n**3 + 36*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*v**2 + 9*v**2 + 28*v**2 as a*v**2 + z*v + g and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189 - 2254 + 173 - 311 - 841)*(0*i**4 - i**4 + 2*i**4).\nAnswer: -3422*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156534*g**4 + 2*g*y**2 + 991*y**2 + 17*y wrt g.\nAnswer: 626136*g**3 + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2932 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1444*a**5 - 87780*a**4 + 18528*a**3 - 976*a**2.\nAnswer: -4*a**2*(a + 61)*(19*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -385507945*k**2 - 119286059 wrt k?\nAnswer: -771015890*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22026\/10*3 - 10\/(-50). Suppose -34*n = -27*n - b. List the prime factors of n.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*(-56)\/(-720)*9\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-24)\/4 - -23 - -3 is divided by 2*6\/(-4)*10\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047540298 a multiple of 341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 6*v + 2. Let z be f(6). Let s(r) = -13 + 194*r**z + 200*r**2 - 395*r**2. Let h(l) = l**2. Give h(s(x)).\nAnswer: x**4 + 26*x**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 2, j: 1, n: 5, a: 3}. Give prob of sequence nnaj.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 544 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 15*g**2 - 6*g - 28. Let q be i(16). Let m(t) = -q*t - 126*t + 256*t + 4. Let h(a) = a**2 + 6. Let z be h(0). Give m(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**3 - 9*m**2 - 6*m + 7. Let l(f) = 2*f**3 + 4*f**2 + 3*f - 3. Calculate 7*l(o) + 3*r(o).\nAnswer: -o**3 + o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 - -221. Let y(i) be the third derivative of -i**6\/120 + 2*i**5\/15 - 5*i**4\/24 - i**3\/3 + 2*i**2. What is the tens digit of y(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {s: 4, n: 1, p: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.53436 and -0.2.\nAnswer: -2.506872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3*n - 10, n = 5*t - 845. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 - 6*x - 5. Let u be l(-4). Let n = 74 - 50. Suppose 5*v - 8 = -j, 8*v + n = 3*j + 5*v. Solve d - j = u*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 660 = -4*r. Suppose -4*f = -r - 282. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 384. Let b be q(-191). Factor -10\/9*i**4 + 0*i + 2\/9*i**5 - 14\/9*i**b - 26\/9*i**3 + 0.\nAnswer: 2*i**2*(i - 7)*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*x - 192, 4*x = -2*u + 756589 - 756473 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*i + 197*i - 71535 = 536*i + 548*i for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313012\/(-3038) - -103 - (-2)\/62*2?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 25 = 8*x. What is the least common multiple of 9 and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from uzzwvwvwziiz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20955863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -10168107.\nAnswer: 10168106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*((-91)\/13)\/(-7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2759128 is divided by 25547?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3459 + 161132227\nAnswer: 161135686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244\/(-1281)*(-12)\/16.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15527\/46563 + -2\/15521. Let 0*b**2 + 0 + z*b**3 - 1\/3*b = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 10) to base 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + (18 + 3 - 15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 366 - 371. Put 4, -1\/2, 2, x in increasing order.\nAnswer: x, -1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 plus -0.0121?\nAnswer: -0.9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 3, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 25*k + 88. Let g be j(-9). Let z = g + 5. Are -132 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-30))\/(((-3)\/(-4)*(18 + -16))\/(-36))\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 69727 divided by 12\nAnswer: 69727\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:41 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from jddjojq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3dd - a996d?\nAnswer: -a9d6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 21*j = 147. Sort 5, 3, j.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1021746 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 - 7*r - 7*r**3 + 10*r**3 + 4*r as s*r**2 + f*r + v*r**3 + p and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -411, -936, -1595, -2382, -3291, -4316, -5451, -6690?\n\"Answer: d**3 - 73*d**2 - 313*d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98649973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 - 6*s**2 + 13*s + 10. Let p be u(-13). Let f(x) = x. Let o be f(p). Solve 0 = 3*g - o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w - 33 = -4*u, 4*u - 24 = 4*w. Find the third derivative of v**2 + 272*v**6 - 2 + 42*v**3 - 42*v**3 - u - 10 wrt v.\nAnswer: 32640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*f - 4836 = 2654*f + 37738 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -14*w - 3*b, -324*w + b = -321*w + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1415961\/137470 - 2\/13747. What is the common denominator of c and -3\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14558 and 5020.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 25*g**2 - 9*g + 11. Let m(z) = 13*z**2 - 4*z + 6. Let h(v) = 11*m(v) - 6*r(v). What is the second derivative of h(u) wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a**2 + 693548*a + 1196517370.\nAnswer: -10*a + 693548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1553*r**2 - 4*r + 171775?\nAnswer: -3106*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.5 and -11929.48484?\nAnswer: 11936.98484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/3, 0.1, -100, -16 in ascending order.\nAnswer: -100, -16, -1\/3, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851491141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.14 - -0.14. Let y = -11 - p. Which is the smallest value? (a) 2\/17 (b) y (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose 4*t = 4*r - 40, 0*t - t = r. Let l be 18\/(-105) - s\/r. Sort -2\/5, l, 5 in decreasing order.\nAnswer: 5, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibw when three letters picked without replacement from uuiwppwwwbuwwiwwpw?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.7. Let j = 0.0545 - -0.2464. Let u = b - j. What is u rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -7.5. Let r = s - -7.6. What is r rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/6 + 22*u**3\/3 - 85*u**2 - 578*u\/3 + 34391\/6.\nAnswer: -(u - 17)**3*(u + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 520 = 2*u. Let z = 28677 + -28652. Calculate the remainder when u is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2. Let n(g) = 2*g**2 + 2*g**2 - 2*g**2 - 3*g**2. Give i(n(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(99) + 1 - sqrt(99)) + sqrt(99) - sqrt(99))**2 + -1 + sqrt(132)\/(-2*sqrt(12)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (3 - -19) - (-148 - -131).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -32\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51.9236 + -0.0236. Let g = -52 + i. Let l = 157 - 1253\/8. Which is the second smallest value? (a) g (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyymyymymm. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 18*b - 22. Let k(f) = 19*f - 21. Let h(i) = 5*k(i) - 4*s(i). Let o(a) = 4*a - 3. Let u(c) = 6*h(c) - 34*o(c). Let j(y) = y. Give u(j(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - 279930?\nAnswer: -279948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 9 = -q + 26, -q = -5*o - 17. Let f be -4*(-9)\/(-12) + 50\/q. Is -1 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 317.17 * 5.2\nAnswer: 1649.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.028851 + 0.03411. What is w rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 1 - 6*h**2 + h**3 + 8*h + 2*h**2 + 2*h as w*h**3 + d*h + s + m*h**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/3)\/((-584)\/438)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d - 10 = 0. Suppose -d*v = -6*v. Let m = -0.0895 - -1.0895. Sort 4\/7, v, m, -0.4 in decreasing order.\nAnswer: m, 4\/7, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5441 + -102001?\nAnswer: -52120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2662 and 4818?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1234432 + 321432?\nAnswer: 2111414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*g + 18, 5*f - g = -87 + 86 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d + 6*d**2 - d + 6*d.\nAnswer: 6*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -740, -3009, -6790, -12083, -18888?\n\"Answer: -756*m**2 - m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5326*q + 24480 + 82040 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 0 + (-1 - 0) - (146 + -159)) + 19\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/6)\/((-2)\/(-9)). Let r(x) = -x**2 - 27*x - 31. Calculate the remainder when r(-24) is divided by (-1)\/(-3)*a\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*(-21)\/224\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 397771111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 14*p**2 - 21*p - 72. Let t be h(-13). Which is the smallest value? (a) 2 (b) 2\/7 (c) t (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/((u*u**(-2)*u)\/u))\/u)\/u)\/u*u**(-5)*u*u*u**(-2)*u**(4\/3))**(-9) assuming u is positive.\nAnswer: u**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 14. Let t(m) = -3*m - 14. Let i(f) = 3*k(f) - 4*t(f). Let v be i(-4). Solve -6*s + v*s - u - 12 = 0, -9 = 3*s + 3*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - -16 - (43 + -58).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 greater than or equal to -292\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18357 + 36220. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.57 and 4?\nAnswer: -6.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75181663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssaaaaasaa. Give prob of picking 1 a and 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.91316 seconds to milliseconds.\nAnswer: 76913.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of c**4\/3 - 20*c**3 + 450*c**2 - 44*c. Factor u(m).\nAnswer: 4*(m - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4746536 by -4.\nAnswer: -1186634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*-2*sqrt(264))\/(2*sqrt(96) + sqrt(6)))\/((sqrt(12)*-4)\/sqrt(3) + sqrt(4) + (-2*sqrt(8))\/sqrt(2)))**2.\nAnswer: 44\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhddddddhvddhh. Give prob of sequence hhv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzygyowwwgowwzw. Give prob of picking 2 g and 1 w.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5687*v**3 - 2*v**2 - 3*v - 2. Let r be b(-2). Let q = r - 36500. Round q to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 878*m**2 + 41*m + 117. Let l(x) = -293*x**2 - 12*x - 39. Let v(n) = -7*l(n) - 2*o(n). What is the second derivative of v(d) wrt d?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 79*y**2 + 4*y + 1615. What is g(-39)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 227184 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 6\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (5 - (9 + -15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18780 = -8203. What are the prime factors of p?\nAnswer: 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 9, t: 4, p: 2, k: 4}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77744 and 344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60938503 plus -2632?\nAnswer: 60935871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 3817326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 72*r - 3563. Give x(6).\nAnswer: -3131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661\/156 - 27*(-2244)\/(-14256)?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 623378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/2)\/((-2)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*b**2 + 93*b + 2.\nAnswer: -(b - 2)*(47*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*h**3 - h**2 + 46 + 0*h**2 + h**2 - 147*h**3.\nAnswer: -31*h**3 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**2 + a - 1. Let f be 1\/(-2) + 170\/20. Suppose q = -q + f. Let r(n) = -n. Give q*r(p) - i(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k + 35*k - 7*k**2 - 89*k + 41*k. Let y(n) = -3*n + 7*n - 5*n + 7*n. Determine m(y(z)).\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006841 to six dps.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-931)\/14)*7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15657.61 less than -5?\nAnswer: -15662.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 81*s**2 + s - 4. Let k be (-16)\/10*(-20)\/8. Let t be j(k). Suppose -7*u - 5*u = -t. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4429 is divided by 4295?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5079813*k**3*n**2 + 3*k**3 - 5*k**2*n + 11*k*n**3 + 10*k*n + 2*n - 2636 wrt n?\nAnswer: -10159626*k**3 + 66*k*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2810 and 1967.\nAnswer: 19670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3886*w + 1288*w + 1265*w + 2*w**4 + 5*w**3 + 1284*w in the form m*w**2 + l + z*w**4 + x*w + k*w**3 and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvtt when four letters picked without replacement from uuruutuuvutvuuut.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 14) to base 11\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647821?\nAnswer: 647821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21505?\nAnswer: 5, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiziziiiz. Give prob of sequence iiii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(4 + (-3 - 3)). Let n be (-4)\/m*(1 + -1). What is the nearest to n in -5, 0.1, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**3 - 30255*m**2 - 44643960*m + 3422183060 = 0.\nAnswer: -3062, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/sqrt(7))\/sqrt(12) - (sqrt(6)\/sqrt(2) + -2) - (5*2*sqrt(30))\/(sqrt(20)\/sqrt(2)*2))**2.\nAnswer: -20*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -637994, -637973, -637952?\nAnswer: -637931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 + -2 + 7. Suppose 2*d = -3*d + 5*q + 80, 4*q = -c*d + 48. Suppose -17*j - 20 = -411. Solve j = 5*l - 2*u, 4*l - d = 4*u + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 9*k**2 + 69*k - 71. What is r(9)?\nAnswer: -908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -235, -421, -675?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168359 is divided by 1402.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -4*o**2 - 30*o - 2525. What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*z - 14 = -i + 402*z, 0 = -7*i - 4*z + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273418, 273422, 273426, 273430, 273434, 273438?\nAnswer: 273442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378825730 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (506\/253)\/(2\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -1\/3 (c) 1 (d) -63\/26 (e) 6.6 (f) -0.11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161\/(-3)*(19 - 25).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020010220 - -120210?\nAnswer: 11020201200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 4*l - 22. Suppose 0 = 6*g - 3*g - 24. Let k be d(g). Suppose -5*z + k = -3*z. Calculate the remainder when 32 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 18 = -2*q. Let i be (3\/21)\/(2\/q). Let w = 0.68735 + -4.68735. Sort -9, i, w in decreasing order.\nAnswer: i, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146557995 to the nearest integer?\nAnswer: 12106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 4*i**2 + 0*i**6 - 1\/70*i**7 + 0 + 0*i**3 + 0*i**4 + 0*i + 1\/12*i**5. Find the third derivative of y(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3\/8 - 1092477*a**2\/8 + 45888003*a\/8 - 481837923\/8 = 0?\nAnswer: -364201, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(689\/(-429)) - -37)*((-189)\/(-240))\/7?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n. Let k(u) = 5*u - 15. Let d be k(8). Let o = 29 - d. Let t(l) = -o*l - l - l + 3*l. Calculate b(t(p)).\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -4036362\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -26*b + 2410. Calculate the remainder when 114 is divided by q(91).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -32308\/1417 equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16, 78\/11, 51?\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 63*c - 57. Let r be s(64). Let i(y) = 8*y**2 + 6*y + 7. Let z(p) = 8*p**2 + 5*p + 6. What is r*z(h) - 6*i(h)?\nAnswer: 8*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhlwwi. Give prob of picking 1 h and 1 w.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22644\/72)\/((-2)\/4). Let u = g - -650. Calculate the least common multiple of 30 and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 - 0)) + (-33 - -30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**2 - 293*f + 68. Let z be v(-49). Solve 7*i - 5*i = -3*r + 5, -2*i + 5*r - z = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32133330 (base 4) to base 3.\nAnswer: -10000110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + -109?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*o - 10 = 0, 5*o + 7 = 4*q - 21. Solve 3*x - 4 = -q*w + w, -w = -4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-2)\/(-5)*10*12\/(-96).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i + 21 = 34*i + 3*n, -2 = -i - n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {d: 5, a: 1, n: 3, l: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6016841 divided by 6016841\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 17*t + 20. Let p = 28 - 44. Let b be d(p). Suppose b*q = 3*q + 25. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 3*p**2 - 5*p - 4. What is h(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**5 - 1623*x**4 + 4923*x**3 + 14703*x**2 + 8160*x = 0?\nAnswer: -544, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18706.\nAnswer: 2, 47, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-24))\/(2\/248). Let g = 80 - o. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23c + 2b42?\nAnswer: 2d80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:37 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 883, 1766, 2649, 3532?\n\"Answer: 883*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/7126 and -57\/2.\nAnswer: 7126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1958)\/(-504) + -3 + (2592\/63 - 42)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*r - 93*r = -1224 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (6 - 9)\/((-3)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 939 = 10*y - m, -2*y - 322*m = -317*m - 143 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 349 (b) -4 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10425a (base 15) to base 8\nAnswer: -2746442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:09 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -43*v**3\/3 - 26*v + 36. What is the derivative of q(b) wrt b?\nAnswer: -86*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.7 in 0.2, 2, 39.013?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-17*2\/(-102))\/(4\/15948) and 9.\nAnswer: 3987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 + p**3\/6 + p**2 + 12*p. Factor f(k).\nAnswer: -(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.44083 and 0.07526.\nAnswer: -0.0331768658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227044275.\nAnswer: 3, 5, 109, 27773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*1\/(-7)*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21316 - 3747. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -238 - 845*p - 80\/3*p**3 + 260*p**2. What is o in h(o) = 0?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.379776 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5783 + 16782138583.\nAnswer: 16782138583.5783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*d + 11 = d, -3*g - 46 = 5*d. Let n(k) = -28*k - 20. Is n(g) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2 + 20768*v + 762940 = 0 for v.\nAnswer: -5155, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(((-56)\/22)\/(870\/(-1595)))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*c - 13 + 4, -2*p - 2 = 4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z + 1. Suppose -5*x - 4*t = 15, 15 = 2*x + 3*x - 2*t. Let a be h(x). Let f be (-2)\/a + (-9)\/6. What is f rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l - 7. Solve 0 = w - 5*w - 2*t, -20 = 4*w - l*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50*24.54\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28583 + 2.0999?\nAnswer: 28585.0999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/26*2197\/(-5070).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/3)\/(1\/5). Let d = x - 10. Suppose -2*t + 6 = -d. Calculate the greatest common divisor of t and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**5\/g)*g**3)**39*(g**8*g*g*g*(g**(-1\/2)\/g)\/g*g*g)\/((g**(-7)\/g)\/((g**(-6)\/g)\/g)) assuming g is positive.\nAnswer: g**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97.711 - -10.001. What is o rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcjc when four letters picked without replacement from cjccjjccjjccjjcjjc.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1943\/(-2030) - (-12)\/14. What is the second biggest value in 2\/3, -0.01, x, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 12*t**2 + 57*t - 42.\nAnswer: -3*(t - 2)*(t - 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -111202 (base 3) in base 13?\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x**2 - 38*x - 15. Let c be t(5). Suppose -61*i + c*i - 48717 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -243*d**2 - 9*d. Let u(b) = -122*b**2 - 5*b. Let c(w) = 5*t(w) - 9*u(w). Let o(m) be the first derivative of m**3\/3 + 26617. What is o(c(g))?\nAnswer: 13689*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 1051*b - 1. Let y be 69\/2 + 7\/14. Let o = y - 33. Is x(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2 + 3*p + 2. What is m(-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 4*p + 4*p)*(612*p + 416*p - 134*p) + 0*p**2 + p**2 - 3*p**2 + (-3*p**2 - 4*p**2 + 5*p**2)*(0 - 5 + 3).\nAnswer: -1786*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7520.99996799 - 7521. Round i to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 4*w**2 - 5*w - 2. Let t be u(-3). Is 4 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 0) + -2 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 331 + -98. Let a = m + -245.7. Let i = a - -13. What is the closest to 0.3 in -1, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0 + 4\/3*d**4 + 0*d**2 + 1\/5*d**5 + 22*d + 2*d**3. Factor y(k).\nAnswer: 4*k*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -73, -255, -561, -1021, -1665?\nAnswer: -2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnjccnnncnyctcgjn. Give prob of picking 1 c and 2 j.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624660?\nAnswer: 2, 3, 5, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54537*g + 4*g**3 + 3*g**3 + 54537*g.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/16535 and -40\/9921.\nAnswer: 49605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*j - 2*b, -b = -4*j + 9 - 1. Suppose -5*f = 20, 2*d + j*f - f - 2 = 0. Solve d*q - 5*z + 20 = 0, -6 = 2*q - 5*z + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137 - 135. Solve j*s + h = 9, 3*h - 5*h - 6 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*(sqrt(224)*-2 + sqrt(224)))\/sqrt(8))\/((sqrt(8)*2)\/sqrt(2)*-6).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 424753920 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61814 divided by -107?\nAnswer: -61814\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (-37)\/(1443\/(-858))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:45 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155583.\nAnswer: 3, 59, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iffd when four letters picked without replacement from {i: 2, d: 1, r: 1, f: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.5, -8 in decreasing order.\nAnswer: -0.5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3751515?\nAnswer: 3, 5, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 23. Let t be c(-16). Factor 27*o**2 - 38*o**3 - 6*o - 10*o**3 + 12*o**3 + t*o**4 + 8*o**4.\nAnswer: 3*o*(o - 1)**2*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 201 - 450?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 3*r + 24, 0 = -2*h + 6*h + 3*r + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1088) + -2))**2.\nAnswer: -32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 150312021?\nAnswer: 150312010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhu when three letters picked without replacement from rhuri?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15951 or 15940?\nAnswer: 15940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvb when three letters picked without replacement from vvvfvfvbvfvfbf.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 3*4\/7. Suppose 5*r = -2 + 7. Which is the closest to v? (a) -1 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, b: 1, y: 1, x: 1, q: 1}. What is prob of picking 1 q and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48610362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6095 + 6110. Solve 38 - 113 = -q*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 4*x - 2. Let p(v) = -1 - 3*v**3 - 2*v**3 + 6*v**3 - 3*v + 4*v**2 + 13. Let j be p(-5). Calculate c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25, -3, 3, 4, 37 in ascending order.\nAnswer: -5, -3, 3, 4, 25, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-1)\/6*3). Let c = 13 - 8. Let b = -0.77 + 0.37. Put c, r, b in increasing order.\nAnswer: r, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -51, -102, -171, -264, -387?\nAnswer: -546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199\/((8\/(-84))\/(4\/(-6))).\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w**3 + 11*w**3 - 18*w**3.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let o(y) = 10*y + 55. Let m(a) = o(a) - 3*x(a). Let p be m(-4). Solve -5*w = 2*r - 10, 2*w = 5*r - p*r + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 2962?\nAnswer: 2979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(304) + -1 + sqrt(304) + sqrt(304)).\nAnswer: -12 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -391, -380, -353, -304, -227, -116, 35?\n\"Answer: v**3 + 2*v**2 - 2*v - 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/((-98)\/(-3) - -8). Suppose 3*o = v - 3*v + 8, 2*v - 8 = -5*o. Let a(j) = -j + 1. Let u be a(o). Which is bigger: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 - 141 = -4*k. Let q be 3 - (k + (-4 - -6)). Calculate the greatest common factor of q and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 - -3 - 3) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - q = -154, -2*g + q + 62 = -18. Let r = g - -113. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58766 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 22*h**2 - 20*h - 117. Let y = 105 - 111. What is the units digit of a(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*q - 3, -26 = 3*y - 4*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -1\/3*p**3 - 1 + 0*p + 0*p**2. Let v(n) be the first derivative of -4*n**3\/3 - 39. What is v(c(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 30*i**2. Let p(u) = -u**2. Let a(x) = 2*p(x) + r(x). Let n(w) be the second derivative of 0 - 1\/3*w**3 + 0*w**2 + w. Calculate a(n(z)).\nAnswer: 112*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1 + 5 - 25\/7. Let 0 + m*i + 3\/7*i**2 = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y + 24 = -u, 4*u + 5*y + 100 = 0. Let k be (76\/u - 1) + 5. Which is the third smallest value? (a) k (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + 24. Let h(d) = -46*d**2. Let c be h(-1). Let j = w + c. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.9. Let j = -20.9 + 17.9. What is the nearest to o in 1\/4, 4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = 2*i, 5*i + 6 = -4*m + 7*m. Suppose 5*j - 617 + 197 = i. Suppose -7*r + j = -28. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 20986 - 5932. Let s be ((-100075)\/(-5)*-1)\/8. Let z = q - s. Calculate the common denominator of z and -19\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 3*r**2 - 8*r + 12. Let w be s(6). Let u(b) = b**3 + 7*b**2 + 10*b. Let t be u(-7). Let x = t + w. Solve -2 = -2*i + x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*y**2 + 43*y - 43*y - 47*y**2.\nAnswer: -100*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 - 20*l**2 + 15*l - 13. Let y be a(6). What is the second biggest value in y, -0.3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 4719?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -18\/49 (c) 129 (d) 0.13 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-3\/10)\/m)\/m*m)\/m*(m**(-9)*m)\/m)**38\/((m**(-2\/5)\/m)**(2\/3)*m*m\/m**(1\/2)*m**(-6\/11)) assuming m is positive.\nAnswer: m**(-129169\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-256) + 315\/56?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -17281 divided by 1571\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svsosvsgfs. Give prob of picking 3 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**4\/5 - 3*l**3 + 336*l**2\/5 + 1068*l\/5 + 144 = 0.\nAnswer: -12, -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1344627485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 1 + 1)*(2 + 0 - 1) + 6*x - 46*x - 33*x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/6)\/((-1)\/(-6)). Let c(d) = -8*d**2 + 0*d + u + d + 7*d**2. What is c(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 237, -5, -27 in increasing order.\nAnswer: -27, -5, 0, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1161 and 2021.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -55. Let z(s) = s**3 - 3*s**2 + s. Let l be z(1). Sort -2, g, l in increasing order.\nAnswer: g, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 3*v - v**3 + 1\/4*v**4 + 0*v**2 + 2. Let c(p) = 4*p**3 - 10*p**2 + 10. Let h be (-7 - -1)*4\/6. Determine h*c(j) + 14*f(j).\nAnswer: -2*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 111*y + 1252. Give o(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -328 + 328. Suppose b = -6*a + 10*a - 84. Solve 0 = 5*k + 4 + a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvdavvavavdvvedadz. What is prob of sequence ev?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(-8*(-105)\/(-4704)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 820*s - 168299. Determine z(-396).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223140 (base 15) to base 12.\nAnswer: 667636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-35) + 52\/14. Suppose 0 = -5*u - 6 - 4. Let y be u - (p\/(-2) - -5). What is the third smallest value in -1, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 280 + -277. Solve -1 + a = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13\/359 (b) 0 (c) 5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 11. Calculate the smallest common multiple of 17 and n(-4).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 5*m**4\/12 - 10*m**3\/3 - 11*m + 1. Factor d(o).\nAnswer: 5*o*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 23*q**3 + 3*q**2. Let a(s) = 8*s**3 + s - 40*s**2 + 41*s**2 - s. Let l(k) = -k**3 - 6*k**2 + 4*k + 7. Let p be l(-6). What is p*a(i) + 6*w(i)?\nAnswer: 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1314132 and 5412.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4199822 + -0.42. What is b rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1425 + 6293. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.571 + -7.329. Which is the nearest to -0.1? (a) -1 (b) 4 (c) 2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllqdlllqllly. Give prob of sequence ldl.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -51*b - 366. What is g(-5)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/5)\/((-675)\/50). Is j smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + x**2 - 2*x**2 + (-4 + 4 - x)*(-2*x + 0 + 0))*(4 + 11 - 4)*(45 + 103 + 139).\nAnswer: 9471*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9676 at most as big as -396732\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 14\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6*b + 3*b. Solve 2*s = -b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2354 and 8\/47725.\nAnswer: 112344650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 118831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**14*m)\/(m*m**(-16\/3)*m))\/(m**(9\/5)\/m**(-1)))**(-4\/3) assuming m is positive.\nAnswer: m**(-932\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37fe (base 16) to base 13.\nAnswer: 66a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26449, 52955, 79461, 105967, 132473?\n\"Answer: 26506*g - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11677702 and -5.\nAnswer: -0.5838851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85525 and 550.\nAnswer: 171050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 44 = -0*m. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 4. Let m = s - -2. Suppose -5*l + 5*v - 15 = 0, 0*v = -2*l + v - 3. Solve m = d + 4 - l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(4)*1)\/(sqrt(32)*-2).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*p**4 - 4*p - p + 8*p**4 wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 9*z - 8*z - 463, -r - 1405 = -3*z. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(-2*sqrt(2904) + sqrt(2904)))\/(-4*sqrt(192)*1).\nAnswer: 1 + 11*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5597935kg?\nAnswer: 559793.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31359617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16)*4*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-7) - (-2)\/7. Let c = p - 1. Suppose c = -4*v - z + 4, -8 - 6 = -5*v + z. Solve 4*q - 4 = 5*n + 37, 5*n - v*q = -33 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36844.987271 + 36845. Round q to four dps.\nAnswer: 0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 16 + 12. Let j(n) = n**3 - 8*n**2 + 93*n - 549. What is the remainder when j(7) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 14*v + 25. Let q be b(3). Solve q*t = -49 + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {u: 7, k: 9}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvphvvg. What is prob of picking 1 g and 2 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -137, -216, -311, -428, -573?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 141*u**2 + 131*u + 1569. Give o(142).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457415409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2218, 2142, 2066?\n\"Answer: -76*x + 2294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let k = 467 + -467. Let t(i) be the third derivative of k*i**3 + 1\/12*i**4 - 7*i**2 + 0*i + 0. Determine t(v(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 21136 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-288)\/(-364) + 1 + -2. Let m = l + -1\/13. Put -5, -2, m in decreasing order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + 5*(1 + sqrt(180) + sqrt(180)*1 + 1)*-5))**2.\nAnswer: 117600*sqrt(5) + 1809604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(121)*-2 + sqrt(121) - sqrt(121)) + sqrt(121) - -1*(sqrt(121) + (sqrt(121) - sqrt(121)*-1)))*1)\/(3*-6*sqrt(539)*-3).\nAnswer: 2*sqrt(11)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.23924l in millilitres?\nAnswer: 39239.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2646.01 and 290.\nAnswer: -2356.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1380 and 2717565.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -3 (c) 5 (d) -102\/7 (e) 0.3223 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 6*b**2 + b - 2. Suppose -6 = 3*c - 4*c. Let k be a(c). Solve -3*v = -4*f - k, -6*f = -2*f + 5*v + 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961 = 46*x + 29*x + 389 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - l**2 - 31 - 3*l**2 + l**2 with respect to l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-4)*(-4)\/2. Suppose k*y - 65 = -0*y. Let m = -13 + y. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:44 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207368 divided by 51842?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:57 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.04, -2\/11, -0.05, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 3. Let f be w(-5). Suppose m = 3*v + 5, f*v + 0 = -3*m + 4. Let r = 9 - 9. Put -2, m, r in increasing order.\nAnswer: -2, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4))**28\/(f**(17\/2)*f**(-32)*f))**(-32) assuming f is positive.\nAnswer: f**2864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -966.57566 rounded to the nearest ten?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_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: Are -133564521 and -133564534 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(-1)*120\/144.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4279*f**3 - 1152*f - 234*f**3 - 465*f**3 - 4*f**2 wrt f?\nAnswer: -29868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211*t**2 - 3136*t**2 + 1858*t**2.\nAnswer: -67*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 11:01 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2 + 3*k - 1. Let n be g(2). Let d = 10 + n. Let q = d - -12. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.3 (b) -1 (c) -0.01 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1131195929 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 10:09 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1262.2 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-43 + 4 + 18 + 1 + -9 - -5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 14*y**3 - 5*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 25, -3*o + 18 = 2*t - t. Suppose 5*x + 2*g - 8 = 0, -2*x - t*g - 13 = -7*x. Let h be (x\/(-3))\/(2\/(-6)). Solve 0*q - 6 = h*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205\/82*(-10)\/1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d9 - -3?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - i = 0, -3*d + 5*d = -i - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 43*n + 23*n - 66*n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1013*b - 7 - 4 - 515*b - 521*b in the form w*b + f and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -743591.881597?\nAnswer: -743592.181597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4964823.\nAnswer: 3, 43, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 103*w**3\/6 - 14*w**2 + 123*w. Let h be u(4). What is the highest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 - 83226.\nAnswer: -83136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (584\/(-8103))\/((-140)\/(-21)).\nAnswer: -2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 38. Suppose -c - 522 = -s*c. What is the greatest common divisor of 261 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/10*-1)\/(24\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*437\/(-322))\/1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaayuaukauuuaaaaaa. What is prob of sequence aaak?\nAnswer: 143\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1170683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwnwnnwwww. What is prob of sequence ww?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 27. What is the units digit of 2*o\/12*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*j - 15 = 0, 13 = -i + 5*j - 11. Let a be 2 + (2 - 2) + i + 2. Solve -a*s - 9 = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -432\/5*m - 36\/5*m**3 + 6\/5*m**4 - 402\/5*m**2 + 864\/5 = 0.\nAnswer: -4, -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15895167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 589*m - 804*m**2 - 814*m**2 - 1178*m + 589*m + 1616*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 927, -5, -1, 3.\nAnswer: -5, -1, 3, 927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1129 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -81*m**3 - 6*m**2 - m + 7. Let d(s) = 80*s**3 + 9*s**2 + 2*s - 10. Calculate -3*c(b) - 2*d(b).\nAnswer: 83*b**3 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - m + 0*m = 13, a - 5*m - 23 = 0. Suppose -7 = -2*v - a. Let w = v - 0. Solve 0*z - w*z = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -363, 58, 1, 86 in descending order.\nAnswer: 86, 58, 1, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 0*u)*(0*u + u + u) - 3*u**2 + 0*u**2 + u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(448))**2 + (sqrt(448) - (sqrt(448) + -1 + sqrt(448) + 1))**2.\nAnswer: -1797 - 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -11800806.\nAnswer: -11800682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7 (b) -5 (c) -15 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 417216546101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -45*s - 125. Let v(y) = 24*y + 62. Let z(b) = -6*q(b) - 11*v(b). Determine z(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/(-910) - (-4)\/26. Let u = l + -1\/21. Which is bigger: u or 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (0 + 8)) + (-318 - -339) - -28?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:31 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 + 132. Let j = -1.9929 + -0.0071. Which is the closest to 2\/13? (a) j (b) 1\/5 (c) w (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) 4 (c) -3 (d) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/875297 or -1?\nAnswer: -33\/875297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*i, -l + 3*i = l - 7*l - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 190045 = -30040. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**7\/210 - 5*r**3\/6 + 9*r**2. Differentiate o(g) wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 327 - 410. What is the least common multiple of (28\/35)\/(10\/25) - h and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 26 - (6 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 60\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1826 + -1806. Let x = 32.5542 + -12.547. Let q = x - h. What is q rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/4 - 5*y**2. Give m(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*z - 3*z - 116, 2*s - z = -116. Suppose -g = 2, c - 4*g - 43 = -3*g. Let w = c - s. Calculate the highest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-3))\/(-1))\/((-2)\/36*4485\/(-5083))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1506624 and 141246.\nAnswer: 4519872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -672 + 673. Calculate the least common multiple of 1030 and n.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-20))\/((-3)\/(-10)). Let i = -9 - v. Let f = 0.2 + -4.2. What is the smallest value in f, -0.4, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 8:29 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 11:30 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 7:47 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 3*j**2 + j. Let g be b(-2). Let o be (-9)\/3 - (-6 - 2\/(-2)). Find the third derivative of 0*v**4 - 2*v**g + v**4 - 2*v**4 - v**o wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 11. Let k be (-3 + (-5)\/l)*0. Solve 4*y - 8 = -k*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -351*a + 3521. What is d(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -97. Calculate the greatest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-120) - 18\/(-135) - (-154)\/12. Let q(m) = 22*m - 293. Give q(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.028 - 64.972. Let a = l + 20. Let u = a - -34.6. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5*v - 1998, -3783 = -3*u + 5*v - 786. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-414)\/92).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/795 and -79\/2703.\nAnswer: 13515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 7:39 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtwttttwtt. Give prob of sequence ttt.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 11*p**2 + 9*p + 14. Suppose -i - i + 20 = 0. Calculate the smallest common multiple of 4 and g(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -97. Solve -4*c = 4*s + 16, -2*c - d*c + 15 = -2*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0*c**3 + 0 + 1\/12*c**4 + 0*c**2 + c. Let w(g) = -g**2. Calculate w(t(z)).\nAnswer: -z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 14.95, -0.109, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-144)\/(-8))*2)\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16554370 to the nearest one hundred thousand.\nAnswer: -16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11444, 11383, 11322?\nAnswer: 11261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29009*(-9 - (-8 + -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*t**2 + 25*t**2 - 11*t**2 - 2*t + (0 + t + 0)*(0*t - 3*t + t) + (2 + 2*t - 2)*(-5*t - t + 5*t) - 2*t**2 + 5*t - 5*t.\nAnswer: -30*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, 1 b, and 1 f when four letters picked without replacement from qymfyybyy.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/6, 3\/5, 0.3, -0.4, -1, 210 in descending order.\nAnswer: 210, 5\/6, 3\/5, 0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p + 40*p = 360 + 198 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-3 - (28 - 64)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26068 divided by 6517\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r. Suppose k - x - 18 = 3*x, 3*k - 3*x - 18 = 0. Let w(o) = 4*o - 4*o - k*o. Calculate w(j(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(1\/12)*l)*l)**(-2\/11)\/(l**(2\/43)\/(l*l**(-16)*l)) assuming l is positive.\nAnswer: l**(-39821\/2838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2107 divide 566630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/x**3*(x**(2\/3))**35 assuming x is positive.\nAnswer: x**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 8*w. Let x be 49 - (-12)\/((-288)\/312). Let n(u) be the first derivative of 0*u - 1\/3*u**3 + 0*u**2 + x. Give n(h(a)).\nAnswer: -a**4 + 16*a**3 - 64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)*(-4)\/((-8)\/86). Let o = c - 32. What is the remainder when 43 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -16. Let l = w - -5.8. Let o = 3.2 + l. What is the third biggest value in -1\/5, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383878?\nAnswer: 2, 11, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 5\/7, -31, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - 1 - 8)*(142\/(-55) + 10\/55).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 26806 = -5*t, -3*t - 21446 = -7*t + 2*i. What are the prime factors of t?\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pndh when four letters picked without replacement from uuindppnuunuuuhuuu.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y = 5*u - 50*y, u - 11 = 6*u - u + 3*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/757 or -5318\/7?\nAnswer: 4\/757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(484)*2) - sqrt(57)\/(-4*sqrt(75) - sqrt(3)))**2.\nAnswer: 35131\/213444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8812 * -0.2.\nAnswer: 1762.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781457?\nAnswer: 193, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 10*r**2 - 13*r + 4. What is the tens digit of q(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q - 10*q - 8*q + 26*q to the form d + o*q and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-42)*21\/18 - 689\/3339?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + ((-94)\/(-17) - 3). Let i(g) = g**3 + 16*g**2 - 36*g. Let o be i(2). Is o < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 + 204. Is j a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 19*g**3 + 5*g**2 + 3*g + 5. Let s(w) = 115*w**3 + 29*w**2 + 17*w + 28. Determine -6*s(q) + 34*v(q).\nAnswer: -44*q**3 - 4*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*r - 24*r - 6*t + 27, 0 = -2*r - 4*t - 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = 6*r - 2*r, 10 = 2*r. Let q = 0 + 5. Suppose -s - q*b + 82 = m, 220 = 4*s - 5*b - 8. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o - 200*o**3 - o**2 - 4 - 10*o - 11*o - 376*o**3 + 751*o**3 as i*o**3 + n*o**2 + s + m*o and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001916572605 to 7 dps.\nAnswer: -0.0019166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -20. What is the second derivative of h*c + 12*c**3 - c**3 + 0*c - 9*c wrt c?\nAnswer: 66*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2 - g + 1. Let k(m) = 2*m**2 + 2*m - 5. Let d be (-1 - -1)\/1 + 17\/17. Calculate d*k(o) + 2*w(o).\nAnswer: -2*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20*3\/(-15))\/((-20)\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1455 (b) -9\/2 (c) 0.3 (d) -6\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1072166 (b) -150 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1244233 - 504?\nAnswer: 1243325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3\/6 + 38*n**2\/3 + 146*n\/3 + 48 = 0. What is n?\nAnswer: -72, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m + 12 + 16 - 26 + (-3 + 4 + 1)*(-m + 2*m + 2*m).\nAnswer: 12*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 + 12 = 0. Let g = 28 + -25. Let x be 1\/(q\/g) - -2. Solve x*l - 15 = 8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 12*d - 4*a - 28, -4*a = 0. Calculate the greatest common factor of d and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4380 by -219.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 2*sqrt(171) + sqrt(171))*-3)\/((sqrt(9) + sqrt(36)\/sqrt(4))*3 + sqrt(9)).\nAnswer: -12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121451229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 197203.8 to the nearest one hundred.\nAnswer: 197200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(2450) + sqrt(2450)*-2*-4)*-4 + ((sqrt(2450) + sqrt(2450)*-2)*6 - (sqrt(2450) + 0)*-2)) + 0)**2.\nAnswer: 62720000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 486, 485, 484, 483?\n\"Answer: -c + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369 by -123.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5708 - 2327 = -s + 5*b, -3*b + 24105 = 3*s. What are the prime factors of s?\nAnswer: 5, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*p**5 - 2*p**4 - 20799*p**3 + 1620*p**2 - 21*p + 8 wrt p?\nAnswer: 3240*p**2 - 48*p - 124794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 - 31 = d, 3*x = -d - 25. Let j = -22 + d. Let c = j + 62. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z + 12 = -59*z. Let r(c) = c**2 + 5*c. Calculate r(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218652746 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 293\/44?\nAnswer: 293\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 101570?\nAnswer: -10156e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*t + 481 = -671 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106639 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 106*a - 13. Let s be o(35). What is the highest common divisor of s and 308?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-252) - 506\/(-18). Solve 4*c = -2*i + i - 20, 0 = 5*i + 2*c + h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-113828)\/2786 + 4 + 58\/(-14)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 119612064 and -2006702?\nAnswer: 121618766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2950.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 1929809.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2254371*h + 14 - 14.\nAnswer: 2254371*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = w - 9, 0 = z + z - w - 1. Factor 3*t**3 + 3*t**z - 204 + 11*t**2 + t**2 + 177 + 9*t.\nAnswer: 3*(t - 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - h**2 + 0*h**2)*(6*h + 12 - 12)*(-301*h + 203*h - 269*h).\nAnswer: -4404*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 4*w**2 + 6*w**2 - 2*w**2 - 1195*w.\nAnswer: -8*w**2 - 1195*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**9\/60480 - j**8\/13440 + j**7\/10080 + j**6\/1440 + 2*j**4\/3 - 18*j. Let i(n) be the third derivative of f(n). Factor i(g).\nAnswer: -g*(g - 1)*(g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 311*b + 1555. Let s be n(-5). Solve 0 = 3*h + 5*t - 18, s = 5*h + 3*t - 34 + 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 5. Suppose 28 = b*v - v. Calculate the remainder when 12 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/16)\/(3\/2). Which is the closest to -2\/7? (a) -1\/2 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = -2*b, -6*p - b = -p + 29. Let a = -16 + p. Let v = 39 + a. What is the greatest common divisor of 68 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 18}. Give prob of picking 1 d and 1 y.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*t - 91*t + 196. Calculate the remainder when 45 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 11*y - 6. Let w = 15 - 21. Let z be n(w). Suppose 2*k = 4*k - z. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5484 - 54839\/10. Let s(r) be the second derivative of 3\/100*r**5 - 24*r - 9\/10*r**2 + 0 - q*r**3 + 3\/20*r**4. Factor s(t).\nAnswer: 3*(t - 1)*(t + 1)*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 516953239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7104.465 and 0.00589.\nAnswer: -7104.45911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 11*h**2 - 10*h - 13. Is z(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**49*c**(-4)\/c**(-1\/5) assuming c is positive.\nAnswer: c**(188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 0 - 2*o - 3. Let k be u(-4). What is the highest common factor of k and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((72\/(-6))\/48)\/((-2)\/(-28)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = -22. Let w be (-6)\/((-1)\/(-2) + -2). Let o be -17 + 0\/4 + 20. Put o, d, w in descending order.\nAnswer: w, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**3 - 3*k**2 - 7*k. Let d(a) = 23*a**3 - 5*a**2 - 13*a. Let t(y) = 3*d(y) - 5*m(y). Find the second derivative of t(b) wrt b.\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 13*y**2 + 29*y + 16. What is p(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 2 (c) 4\/141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -65311?\nAnswer: -52\/65311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1635*p - 3526*p + 10324 = -1713*p for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 z when four letters picked without replacement from cccecczccxeezccxxc?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754723667?\nAnswer: 754723667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6566, 6567, 6568?\n\"Answer: x + 6565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) - 335\/(-9). Let s = -17 + w. Let f = 54 - s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116.4 + -135. Let q = -18.5 - i. Which is the closest to -2\/7? (a) -0.17 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 + -2.9. Let l = 0.1 + 3.9. Sort d, l, 3 in descending order.\nAnswer: l, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 263, 573, 991, 1511, 2127, 2833?\n\"Answer: -y**3 + 63*y**2 + 14*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/5 + 136*j**2\/5 + 1608*j\/5 - 3744\/5.\nAnswer: -2*(j - 78)*(j - 2)*(j + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**3\/3 - 7316*i**2\/3 - 4256480*i\/3 - 764449600\/3 = 0. Calculate i.\nAnswer: -740, -349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -1.44, -0.3, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -23. Let q be (-4 - -2)\/(6\/192). Let a = q + 79. Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-180)*-15 - ((-2)\/(-2) - 23140) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 5.7. Let o = -0.6 - u. Let q(l) = 3*l**2 - 10*l + 3. Let i be q(3). Which is the closest to i? (a) o (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1 - -5. Let k = -0.78 + 7.38. Let v = k + x. What is v rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 12*d**2 + 7. Let w be l(-12). Suppose -3 = -5*b + w. Differentiate 2*o**2 + 7*o**2 - 2*o**b + 7 with respect to o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = -2*p - w, 2*p = w + 13. Let q = 11 - p. Let n = -1 + q. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-16))\/(2\/(12\/(-3))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**3 + 11*m**2 - 4*m - 11. Give z(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -83332740 divided by -25260\nAnswer: 3299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 + k - 2. Let i be b(-2). Let g be 1 + 0 + -6 + i. Solve -s - 3*s - 26 = -2*w, 3*w + 3*s = g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 - -0.32. Let n(j) = -j**3 - 4*j**2 - 2*j + 1. Let r be n(-3). Let b be ((-4)\/8)\/(r\/4). What is the closest to -1 in b, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75828 is divided by 381?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 5987943.2743?\nAnswer: -5987943.1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -5, -41, 3, -4 in decreasing order.\nAnswer: 4, 3, -4, -5, -10, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/522 and -1\/174.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 204, 419, 648, 897, 1172, 1479?\n\"Answer: z**3 + z**2 + 205*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*g - g + 3*a, -2*g = -5*a + 10. Let r(d) = -2*d - 17. List the prime factors of r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14012185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 + 13*a**2 + 24*a**2.\nAnswer: 41*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 - 8*q**2 - 3*q + 6. Let h(y) = 4*y**3 + 9*y**2 + 4*y - 7. What is 4*h(n) + 5*m(n)?\nAnswer: n**3 - 4*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 0, -4*n + 5*n = 2*n + q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/5 (b) -2\/3 (c) 0.5 (d) 2 (e) -2.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43959938261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - (sqrt(54)\/sqrt(6) - sqrt(9))*-5)\/(-1*sqrt(75)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-1))\/(-2*1). Let q = b - -1. Let j be 264\/q*(2 - 1252). What is j rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*m + 111*m - 41*m - 43*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 + d + 5. Give u(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 4*n**2 + 5*n + 1. Let k(w) = w**2 + w. Let y(b) = -j(b) + 5*k(b). Let u(f) = 7*f**3 - 8*f + 6. Let x(v) = u(v) + 6*y(v). Calculate x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 4:08 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 + 217. Calculate the greatest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 177\/(-12) - 6\/(-8). Let k be ((-188754)\/(-31452) - 6)*(-8)\/v. Let l = k - -68128\/23589. Which is bigger: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5944 + 0.5943993742. Round f to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -53.16, 4, -1, -0.2, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/5 - 34674*d**4 + 667635903*d**3 - 4277297926440*d**2 - 111816318373056*d + 4960364555672064\/5 = 0. What is d?\nAnswer: -33, 7, 19272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1815, -3635, -5455, -7275, -9095, -10915?\nAnswer: -12735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 306 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83820876.13999834 - -83820875. Let p = -124 - -122.86. Let t = j - p. Round t to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 5. Let k(s) = 6 + 4 - 43*s - 27*s. Let f be k(d). What is f rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 775978 in decreasing order.\nAnswer: 775978, 14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 t, and 1 p when four letters picked without replacement from {g: 2, p: 2, t: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26238 is divided by 5237?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 8*c**2 + 21*c - 135. Give u(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16703525 to the power of 1\/2, to the nearest integer?\nAnswer: 4087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*m + 21, 1276*m + 31 = 3*l + 1274*m. Solve 0 = l*c - 692 + 588 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 25, 15 in descending order.\nAnswer: 25, 15, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**2 - 278 + 858*t**3 - 428*t**3 - 430*t**3 - 2*t**4 + 3*t**2 to b + a*t + x*t**4 + i*t**3 + c*t**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159645 and 4037?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -624.7 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 1780?\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 2. Let j be 3\/6*-2*3. Let y be b(j). Put y, 1, -5 in decreasing order.\nAnswer: y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2417178*y + 19683 = 2416935*y for y.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/13))**41 assuming x is positive.\nAnswer: x**(82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 230043*y**2 - 4410786861*y - 30864236949.\nAnswer: -3*(y + 7)*(y + 38337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 4*t**2 + 5*t + 1. Let q be k(-3). Put -3\/4, 3\/7, q in decreasing order.\nAnswer: 3\/7, -3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220741603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5752256.\nAnswer: 2, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 760.4394361 and -0.3.\nAnswer: 760.1394361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {q: 3, s: 1, l: 1, z: 3, w: 3, n: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-845)\/2197)\/((-10)\/(-8)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.049115 millilitres?\nAnswer: 0.000049115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - (-6 - -715)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 3*q = -84. Let k = -10 + q. Solve 5*l - 6*i + k*i + 31 = 0, 3*i = 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61718561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2. Let a = -9 + 24. Let p(u) = u**2 + 4*u + 4. Let s(b) = -3*b**2 - 15*b - 15. Let d(f) = a*p(f) + 4*s(f). Calculate d(w(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f - 4*f)*(-5 - 2 + 4)*((0*f + 3*f - 2*f)*(f + 0*f - 2*f) - f**2 + 3*f**2 - 4*f**2).\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -26. Let m be (-8 - (-4 - 0))\/(-1). Suppose 3*u = -m*t + 7*u + 36, 3*u - 21 = -3*t. Calculate the lowest common multiple of j and t.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -819 + 889. Which is greater: m or 141\/2?\nAnswer: 141\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p**2 - 5*p - 5. Let r(s) = 5*s**2 + 5*s + 17. Let z(l) = -l**2 - l - 3. Let c(x) = r(x) + 6*z(x). Determine 5*c(j) - g(j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o. Suppose -29*y + 7843 = -6*y. Let t = y - 334. What is the lowest common multiple of z(-2) and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:12 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615 - 1586 - 1621 = 324*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3060 + 18675 - 1635 + 4933 + 5551 + 1933)*(-3*w + 3*w - 2*w**3).\nAnswer: -65034*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2184)\/(-14))\/(48\/8)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49547, 49543, 49537, 49529?\n\"Answer: -b**2 - b + 49549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8396.1484 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 + 8*d + 21. Let p(g) be the second derivative of g**4\/3 + 5*g**3\/6 + 7*g**2 - 6*g. Let r = -15255 - -15260. What is r*x(u) - 8*p(u)?\nAnswer: -2*u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovo. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 183.712079 * 3.\nAnswer: 551.136237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1811 <= -1811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -45647706 divided by 134654\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/60*-4*(-12)\/(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -45 in ascending order.\nAnswer: -45, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*s - 2475 = 78*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -53*z**2 + 8477*z + 617. What is k(160)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 373339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 31, 28, 25, 22?\n\"Answer: -3*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-183)\/(-6) + 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**6\/30 - k**5\/60 - k**4\/12 - k**3 - 1. Let z(a) be the third derivative of t(a). Let z(r) = 0. Calculate r.\nAnswer: -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 3a?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 312, 655, 1000, 1347, 1696, 2047, 2400?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/8)\/((-225)\/600). Solve -2*p + 4*k + b = 0, 4 = 7*p - 6*p - k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/75515 and -79\/1565220.\nAnswer: 17217420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + 0.61. Let v = 0.67 - g. Let m = -83 + 583\/7. Are m and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39347323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 9\/3 - 3. Let m(z) = -z**3 - 4*z**2 + 6*z + 6. Let f be m(-5). Suppose -j = 3 - f. Is a greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -640, -857, -1274, -1957, -2972?\nAnswer: -4385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 36. Suppose -2*y = -2*d - 16, 0*y - 2*y = 2*d - n. Suppose -6*k + y*k = 8. Solve -1 - 9 = k*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otts when four letters picked without replacement from otsyootozototttotzo.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/83931123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 94 = -16. Suppose -r - 20 = 4*q, -y*r + 5*q + 31 - 6 = 0. Solve -3*t + r - 1 = c, 0 = -3*t + 5*c + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95) + -2*sqrt(95)))\/(sqrt(25)\/(-1*sqrt(5))).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 3. Let j(i) = 5*i - i**2 + 9*i**2 + 6 + 5*i - i**3 + 2*i**2. Let x be j(11). Let z be r(x). Solve -4*n + z*n - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(228)*-5)\/sqrt(12))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 - 215*w**4 + w**3 - w - 9603 wrt w?\nAnswer: 40*w**3 - 2580*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -2\/3*i**3 - 12 + 0*i**2 + 0*i - 7\/2*i**4. Find the third derivative of p(h) wrt h.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4590 - 4561. Let s = 12 - -5. What is the remainder when o is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2183.7 + -2179.7. Which is the nearest to 2\/7? (a) 5 (b) h (c) -25 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -38 (b) -3 (c) 0 (d) -51549\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1301 and 0.39.\nAnswer: 1301.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-7238)\/(-6204) - 4\/12) + 1603\/(-1938)\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10418.0214 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 85 + 43*c - 148*c + 2*c**2 + 83*c. Let b be s(7). Does b = 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 5*c + 21, 4*z - z - c - 1 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*u**3 + 9*u**2 + 9*u**2 - 19*u**3 - 18*u**2.\nAnswer: -628*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 16 = r + 5*z, -r + 2*z + 2 = 0. Suppose -r - 6*o**2 + o + 3 - 10*o = 0. What is o?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2366.1 - -2366. Which is the fifth smallest value? (a) -5\/4 (b) 1\/8 (c) 1.5 (d) 3 (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3861, 3757, 3483, 2955, 2089, 801?\n\"Answer: -14*j**3 - j**2 - 3*j + 3879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*g**4*m - 6*g**3 + 15*g**2*m - 5*g**2 - 3*g*m + g - 681*m + 9 wrt g.\nAnswer: -192*g**2*m - 36*g + 30*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x - 2. Let k be s(2). Let w = 26 + k. Suppose 30 = 2*m + 3*n - 18, -4*m + 76 = n. Calculate the smallest common multiple of m and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292977 divided by -9\nAnswer: -32553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.2 (c) 4.8 (d) 3\/2 (e) 0 (f) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29551.06 meters in nanometers?\nAnswer: 29551060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 127, 31, 4 in ascending order.\nAnswer: 4, 31, 62, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 229482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.486 (b) 0.4 (c) -2.5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 42*z - 10. Suppose 2*p - 2*h - 18 = 0, -2*p + 2*h + h + 15 = 0. Let b = p + -6. Calculate the remainder when t(43) is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294462\/(-3731) + ((-644)\/91 - -7)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9*r = 232. Suppose -r = z - 20. What is the third biggest value in -1, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -3. What is the units digit of 2 + 0 + -3 + w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554397 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 23 = 4*j - 0*j, -4*c + 24 = 2*j. Suppose -j*g = -3*o + 40, -2*g = -4*g - 2*o - 60. Let k be g\/6 - 17\/(-51). Is k < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 16040700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34671888 divided by -5778648.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 13) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {m: 2, e: 8, o: 4, u: 2, y: 1, f: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2284 and -0.0044.\nAnswer: 2283.9956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69968 is divided by 81?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 27. Let c be d(5). Let u(p) = -4*p**2 + 4*p + 1. Let i(o) = -13*o**2 + 13*o + 3. Calculate c*u(t) - 2*i(t).\nAnswer: -2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6460893 divided by 3.\nAnswer: 2153631","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhbbhhhbbhhh. Give prob of sequence hh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 5. Let y be (1 - 1) + o + 4. Solve 0*r = y*r + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 81. Let t be (3 + q)*(-7)\/(-77) - 1. Is -1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280477324.\nAnswer: 2, 347, 397, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 2:08 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134844 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43447.506 times -4?\nAnswer: -173790.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**4\/6 + 4*g**3\/3 + 4*g**2 + 24*g - 17. Let z(k) be the first derivative of h(k). Factor z(n).\nAnswer: 2*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 - 78*w**2\/7 - 114*w - 722\/7.\nAnswer: -2*(w + 1)*(w + 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14*i. Let l = 15 - -16. Let n = -19 + l. Let d(v) be the third derivative of -v**4\/24 - 2*v**2. Determine n*d(u) - m(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 3, e: 1, l: 6, w: 4}. Give prob of sequence oe.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19135061.\nAnswer: 11, 158141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d\/(d*(d*d*(d\/d**6)\/d*d)\/d)*d)\/((d\/(d*(d**(-2\/13)\/d)\/d*d)*d)\/((d*d**(-13))\/d*d)) assuming d is positive.\nAnswer: d**(-223\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*h = -447*h + 7246 + 19934 + 7911 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203 - -10?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64190*k**3 + 100468*k**2 wrt k?\nAnswer: 385140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/633 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-11\/5))**(-33)*(z**(-4\/5)*z**(1\/3))**(-10) assuming z is positive.\nAnswer: z**(-1019\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 595414957 and 466.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33.9, 5, -5, 2, -0.038 in descending order.\nAnswer: 5, 2, -0.038, -5, -33.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38001 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 574.6 + -644. Let n = -70 - l. Let g = n + -3.4. What is the smallest value in -2\/15, g, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -2*j**7\/21 + 124*j**5\/5 + 848*j**4\/3 + 1408*j**3 + 3584*j**2 - 1002*j. Factor h(q).\nAnswer: -4*(q - 14)*(q + 2)*(q + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*24\/16*8\/192\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 - 206. Is (5\/((-60)\/(-18)))\/(a\/(-160)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 428 and 2847484?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1878 is divided by 190?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -11 + 13. Is o less than or equal to -4\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117073486 and 2?\nAnswer: -234146972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -101827 and 3.\nAnswer: -101824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(-3 + 0 + 2)*(-2*u + 7*u - 718 + 713) to the form p*u + m and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 14*v**2 + 9*v - 14. Let t be k(-6). Let a be (9\/(-15) - 44\/(-40))*t. Solve -a*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 3 - (-10 - -4))*61 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.044 + -0.044. Which is the third smallest value? (a) -1 (b) x (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1088*w + 43*w**3 - 4*w**3 - 56*w**3.\nAnswer: -17*w**3 - 1088*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-2\/5)*w)\/w)**(-5\/17)*(w\/(w**(-4)*w))\/(w\/(w*w\/(w*w**(-7))))*(w**0)**48*((w**(-1\/4)*w)\/w)**(-15\/7) assuming w is positive.\nAnswer: w**(5267\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1403303 or -1403297?\nAnswer: -1403303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*0\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*o + 13 = 0, 4*o + 26 = 2*f + 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) 1\/3 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c**3 - 9*c**3 + 47 + 18*c**2 + 0*c + 9*c + 0*c. What is the units digit of h(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 - 154*c + 851. Determine m(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a*a**(2\/45))**29 assuming a is positive.\nAnswer: a**(2668\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 8*v + 2. Is 6 a factor of r(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3629*a**2 - 170*a - 5?\nAnswer: -7258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + v**2 - 2*v**2)*(-2 + 2 - 2*v**2)*(138*v - 11*v - 16*v).\nAnswer: -444*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 15*l**2 + 20*l + 24. Calculate v(-16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.1 and -0.06.\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -15*w**2 + 15*w + 15. Let q(n) = 3*n**2 + 27*n + 11. Let u be q(-8). Let m(l) = -7*l**2 + 7*l + 7. Determine u*m(k) + 6*y(k).\nAnswer: k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-9) - 111\/(-9). Let w be 1*-1*17\/(34\/(-8)). List the prime factors of (w - 27\/g)*12.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/117162 and -121\/1304064.\nAnswer: 29993472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 - 3*z**2 - 5*z + 1. Let m(j) be the first derivative of j**4\/4 - j**3\/3 - j**2\/2 + 7. Determine f(d) - 5*m(d).\nAnswer: -2*d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -189882*q**2*x - q*x**2 - 69897*x**2 + 2*x wrt q.\nAnswer: -379764*q*x - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336269.\nAnswer: 163, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 4*z**2 - 4*z + 1. Let n be v(6). Let g = 2339 - 2297. Calculate the highest common divisor of g and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 22 + -42 + 18 + -16 + (-60 - -1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 142 + 1049 + 1927 = -126*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 516.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 - 4 - 5 + 0 + 0*z**2. Let h(w) = -7*w**2 + w + 10. Let t(k) = 4*g(k) + 3*h(k). Let t(i) = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 9*r = 2*j - 13, -40 = -2*j - 4*r. Suppose 793*f - 786*f - j = 0. Solve -2*o - 5*v - 21 = 0, -f*v = -2*o + 4*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19\/p**(3\/2))\/((((p**(-8\/7)\/p)\/p)\/p)\/(((p*p\/(p*p\/p**(-27)))\/p*p)\/p)) assuming p is positive.\nAnswer: p**(-89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 63, 121, 177, 231, 283, 333?\n\"Answer: -m**2 + 63*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1*sqrt(68))*-6)\/(2*(-2*sqrt(4) + sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7029 and 1704?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**3 - 6*t**3 + 8*t + 4*t**3 - 5 + 3 in the form h*t + j*t**2 + r*t**3 + z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 - 2248156*l + 267473920.\nAnswer: 4*(l - 561920)*(l - 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 32*j - 1. List the prime factors of n(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 310 + -227. Let u be -3 + 7\/(-7) + n\/20. Which is smaller: u or -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74801057 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 20*o + 2. What are the prime factors of s(2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1553*j - 5471. Calculate the lowest common multiple of f(-4) and 39.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2 - 280674*b + 1122664 = 0.\nAnswer: 4, 140333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1316, 8660, 20900, 38036, 60068, 86996?\nAnswer: 118820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 10*i = -2. What is the fourth smallest value in -7, i, 0.3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412914 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -5 - 70) + 3 + 17.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 73882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - n - 2. Let o be j(2). Suppose 2*k = 2*h, k + 2*h - 20 + o = 0. Which is the second smallest value? (a) k (b) -0.01 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 40*x - 44*x. Calculate the greatest common factor of x and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**4 + 9*s**3 + 355*s**2 + 2. Let n(t) = -4*t**4 + 16*t**3 + 710*t**2 + 5. Let d(m) = 5*g(m) - 2*n(m). What is the third derivative of d(j) wrt j?\nAnswer: 72*j + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6491 - 6476. Solve 5*f - 2*d - 3 = v, -2*f + 5 = -3*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.641 + 0.359. What is the nearest to 1\/4 in -1\/4, -11, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 16. Let r = k - -32. Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 164 = -27*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-20))\/((-24)\/(-16)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.21687?\nAnswer: -0.21687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 9, s: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1867*r + 22400. Determine a(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1089464 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 3 (c) -52 (d) -0.1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 3*i**2 - 5*i + 6. Let b be v(4). Suppose -31*x = -36*x. Let z be x + b + (-20)\/15. What is the nearest to 1\/3 in 1\/6, 10, z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.037798 - -0.0378024994. Round u to seven decimal places.\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, o: 2, x: 2, l: 4}. What is prob of picking 1 o and 3 l?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34966, -34951, -34930, -34897, -34846, -34771, -34666?\n\"Answer: q**3 - 3*q**2 + 17*q - 34981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2435 = v. What is the remainder when v is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 101. Let p be 3\/(6\/(-2)) + 33. Suppose 3*b - 19 - p = 0. What is the remainder when v is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - p = -12 + 2, p = 4*g - 30. Suppose 0 = -g*z + 245 + 219. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-18*30\/180?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 5*a**2 - 2*a + 1. Let z(r) = 6*r - 1. Let x be z(1). Suppose -4*v - 3*w = -31, -3*v - 3 = -4*w + x. What is the units digit of m(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 38 - 74 = 3*i, -3*i + 64 = 5*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2. Let w(p) = 115*p - 1. Calculate w(q(a)).\nAnswer: 230*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/84910 and -79\/75.\nAnswer: 1273650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 23 - 24 + 74 + 14*l as d*l + c and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 452 = -2*g + 7*g, -3*y = -9. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 23 - -10) + -30.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4\/4 + 989*h**3\/4 - 13675*h**2\/4 + 24387*h\/4 - 2925 = 0. What is h?\nAnswer: 1, 12, 975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3657*g**3 + g**2 - 4610. Let h(w) = -3656*w**3 - w**2 + 4607. Let b(q) = 4*h(q) + 5*u(q). Find the third derivative of b(c) wrt c.\nAnswer: 21966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 - 33*s**3 - 53*s**2 + 85*s**2.\nAnswer: -33*s**3 + 26*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8183.108 + 8164. Let m = 19 + w. Round m to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1770, -2, 4, 5 in descending order.\nAnswer: 1770, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-3*y - 6 + 6 + 4*y + y - 4*y + (0 + 0 - 2*y)*(3 + 0 - 1)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-114)\/(-24))\/(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2, 5*r + 5*c - 10 = 0. Factor -7*a**2 + 9*a**2 - r*a**3 + a + a.\nAnswer: -2*a*(a - 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -3*d**6\/20 - 87*d**5\/16 - 3*d**4\/2 + 535*d + 8. Factor a(r).\nAnswer: -3*r**2*(r + 24)*(6*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 + (-2 - 0) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -20\/11250827 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 24862000 to the nearest 100000.\nAnswer: 24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588.9399 decades in years?\nAnswer: 5889.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r - 134. Calculate the remainder when 618 is divided by k(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 - 18*n**3 + 4*n**2 + 16 - 16 + 0*n**3 as l + a*n**3 + t*n + m*n**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9302 - 1113. What are the prime factors of k?\nAnswer: 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 z when three letters picked without replacement from zrruorrouzocrro.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1038, -1417, -1796, -2175, -2554, -2933?\nAnswer: -3312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by 6934.\nAnswer: 59\/3467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88431005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 69*g + 244. Calculate w(-38).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 22*u**2 + u + 24. Is 23 a factor of i(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -404102, -404093, -404072, -404033, -403970?\nAnswer: -403877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 5, 20327, -1, -2, 7 in ascending order.\nAnswer: -20, -2, -1, 5, 7, 20327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.56 - 0.44. Let j = v + -73. Let w = j - -108.000081. What is w rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42856\/137 smaller than 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4465*p + 923 - 1794 + 871 as i*p + h and give i.\nAnswer: 4465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 4) in base 14?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*(b\/b**(-2))\/b*b))**(-39)*((b**1*b)\/b)**(-45))\/((b**(-6\/13)*b)\/b**(4\/13))**(11\/6) assuming b is positive.\nAnswer: b**(2875\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000587665 to five decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63748191?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 0*y**2 + 16*y + 4 + y**2 - 13*y. Let i be v(-5). Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*p - 13, p = -2*z + 3 - 1. Determine n so that -24 - 81*n**z - 108*n - 12 - 150*n**2 + 12 - 15*n**4 = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -31, -44, -73, -124?\n\"Answer: -p**3 + p**2 + p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -213*s**3\/2 + 219*s**2\/2 - 3*s.\nAnswer: -3*s*(s - 1)*(71*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -9, -0.003?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41.042 - 2.429. What is c rounded to 0 decimal places?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315329986661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjhhjjhjhhggjjj. Give prob of sequence gg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h + 0 + 3 + 3*h. Let r(j) = 2*j - 2. Let q(x) = -16*x + 10. Let s(t) = -q(t) - 6*r(t). Calculate -3*i(d) + 4*s(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1675.238 + 11.8948\nAnswer: 1687.1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274448 is divided by 1542.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -29f (base 16) to base 6\nAnswer: -3035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 69 and 71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -z + 4, t = 6*t + 4*z - 15. Let u = 3 - -10. Is (u\/3)\/(t\/(-21)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.715 - -1.615. What is the nearest to b in -14, -3\/2, 8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 9, p: 2}. What is prob of picking 4 a?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1653 = 393. Suppose -2*m = -f + m + 40, -5*f = -2*m - s. Suppose -105 = -4*k - 3*l - 12, 2*k - 4*l = f. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 3*x**2 - 2*x**3 + 5 + 8*x - 10*x. Is a(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/44, 5, -5.\nAnswer: -5, -9\/44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*s. Let d(b) = -25*b + 14*b + b**3 - b**s + 9*b + 58. What is the tens digit of d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1575 = 255*g + 60*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233032849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/7 - 1555020*k**2\/7 - 302267120034*k\/7 - 2418037440016\/7.\nAnswer: -2*(k + 8)*(k + 388751)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/99)\/(21\/(-9)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from ispgree?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -51, -112, -193?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 74.9. Suppose h + 2*j = 4 + 3, -4*j + 17 = 3*h. Which is the nearest to m? (a) 4 (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2. Let w(v) be the second derivative of v**6\/120 + 5*v**4\/12 + 2*v. Let z(f) be the third derivative of w(f). Determine z(u(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499 - 5*w + 4*w - 500 + 999.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**3 + 13*j**2 - 30*j - 45. Let o(k) = -7*k**3 - 13*k**2 + 31*k + 45. Let c(q) = 3*o(q) + 2*v(q). Let c(f) = 0. What is f?\nAnswer: -15, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 2*y**2 + y. Let a be d(2). Suppose l + a*l - 78 = 0. Let t = l + -5. Calculate the highest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5422, 10841, 16260, 21679?\n\"Answer: 5419*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 32*o - 30*o - 1.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/5 + 292357*p**3\/5 + 1315561*p**2\/5 - 146174*p = 0. Calculate p.\nAnswer: -146174, -5, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512189.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*d = -8, -2*b + 2*d = -4*b - 4. Let t = -365657\/2460870 - 2\/33255. Calculate the common denominator of t and b + 1 + 145\/(-22).\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -1\/5, -2\/9, -8\/3, 7.24?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - 66\/(-4) - (-2)\/(-4) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 85. What is the second derivative of -8*u**5 + c*u**5 - u**3 + 37*u - 15*u - 2 + 23*u**5 wrt u?\nAnswer: 800*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457*f + 1020*f + 679*f + 510*f + 45*f to the form z + g*f and give g.\nAnswer: 2711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:39 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -517937, -517914, -517881, -517838, -517785, -517722, -517649?\nAnswer: -517566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c = 35*c + 1. Let u be 367\/2 - (10\/4 - c). What is the remainder when (u\/35)\/(3\/105) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138880 + 306949. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2095)\/45*(-1725)\/(-11). Let w = -7300 - t. Let s = -3741 + 157145\/42. Find the common denominator of w and s.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 0. Let y be (j\/(-1))\/(-3) - -15. Suppose -2*a + y = a. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75, -150, -237, -336?\n\"Answer: -6*m**2 - 57*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 1 = 4*s + 5, 4 = 2*u - 5*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 208, -3\/4, -0.2, -3 in ascending order.\nAnswer: -3, -3\/4, -0.2, 1, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7018126 months to years.\nAnswer: 0.22515105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 1)*((-3 - 2 + 6)*(4 - 2*m - 4) + 0*m + 2*m - 3*m) to p + v*m and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446 + 11*w**3 + 863 - 1309.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 b, and 1 z when four letters picked without replacement from zbzbqqjqjpjpqbzjp.\nAnswer: 27\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Let u(v) = 30*v - 20. Let h be u(2). Let x be 1\/(15\/57) + h\/(-50). Solve z - x = -o*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:42 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 1087*t + 4371. Determine i(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-132)\/(-108) + (-2)\/9. Let m(u) = 147*u**2 - u + 1. Let r be m(l). Suppose -4*y + 61 = -r. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 56*u**2 - 801*u - 2996. Determine g(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - v**2 + 3*v - 2. Let x be f(1). What are the prime factors of 2*((-3)\/x - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 3 + 0 - -3. Solve 5*s + 25 = n*x, -3 = 5*s + 2*x + 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 31*f**2 - 2*f + 82. Let z be g(31). Solve 12*l = 8*l - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z + 4*z - 6*z)*(0*z**2 + 0*z**2 + z**2) - 120*z**3 - 283*z + 141*z + 140*z to the form x + r*z**3 + h*z**2 + a*z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 28. Let g be i(13). Let b be (g + -1)*3 + 2. Let d be (-85)\/765 - (-2)\/18. Solve -5*k - 1 = -b*f + 4, 4*f + 4 = d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41, 45, 61, 95, 153, 241, 365?\n\"Answer: y**3 - 3*y + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 71?\nAnswer: 19\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -253088\/12919 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23.11. Let m = h + -0.09. Sort m, -1\/9, -1\/12 in descending order.\nAnswer: -1\/12, -1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l - 8. Calculate s(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/5 - 13*r**3\/5 - 41*r**2\/5 - 47*r\/5 - 18\/5.\nAnswer: -(r + 1)**2*(r + 2)*(r + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4888 - -4888.004468. What is s rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 5. List the prime factors of (6\/3 - 4)*o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1344 - 29?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 4. Let t be n(-4). Calculate the common denominator of t\/18*131\/(-4) and 69\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/38)\/(-1) - (-23)\/((-1311)\/(-1493064)).\nAnswer: 2, 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -o - 5*k, -7*o - 12 = -9*o - 2*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 3*l + l)*(-2 - 1 + 0)*(-2*l + l - 3*l + (0 - 1 + 0)*(2*l - 2*l + 2*l)) in the form o*l**2 + b*l + q and give o.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -2*d - 3*y, 4*y = 2*d + 3*y - 311. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 - (8 - (-16 - -20) - 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3849 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -416, -424, -432, -440, -448, -456?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -2 in descending order.\nAnswer: 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-34))\/((-2)\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6 - 5 + 6*t - 16. Let z(d) = -3*d. Let b(j) = 19*j - 3. Let g = -138 - -139. Let y(o) = g*b(o) + 6*z(o). Give -2*w(a) + 11*y(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/4992)\/((-42)\/(-112)))\/((-15)\/(-18))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 6*o + 2. Let j(k) = 2*k + 20. Let p be j(-8). Suppose -30 = m - 5*u, p*m + 5 = -2*u - 5. Give i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5715 = -7*t + 34408. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y**3 - 2766*y**2 - 22455*y + 6642.\nAnswer: -3*(y + 9)*(y + 123)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -eaa149 (base 15) in base 5?\nAnswer: -10324442134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/12 + f**3\/3 + f**2\/2 + 3*f + 20. What is l(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61663, 123167, 184669, 246169, 307667, 369163?\nAnswer: 430657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 793656081 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36612346 divided by -1.\nAnswer: 36612346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - 3. Let t(f) = 2. Let z(b) = 2*h(b) + 3*t(b). Let r be 1 - (0 - (-3 + 4)). Let x(k) = 3*k**2 + 2*k**r - k**2 + 0*k**2. Calculate z(x(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 713, 3\/5, -4, -3, 0, -19 in decreasing order.\nAnswer: 713, 3\/5, 0, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -314*h - 120921. Give o(-385).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2 - q**3 - 5 + 4*q**3. Let f = -91 - -106. Let i(p) = -3 - f + 17. Determine -3*i(x) + u(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 12. Let a = -34.5 - t. What is a rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 3*d**2 + (-3*d + 2*d + 0*d)*(-3 + 3 + d) + 839*d - d**2 - 1665*d + 831*d - 21.\nAnswer: d**2 + 5*d - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*b + 28 = p, 12 = -2*p - 4*b. Suppose p*w - 2 = -o, -2*o - w = -6*w - 13. Suppose -32 = -4*g + o. Sort g, -3, -2 in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 444*j**2 - 43*j - 116. Does 21 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.1961408 to one dp.\nAnswer: 68.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((((r*r\/((r*r**5)\/r))\/r*r*r*r)\/r)\/r)\/r)**47\/(r**(9\/2)\/(((r**2*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-289\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 333 + 8. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71726*2356\nAnswer: -168986456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 15) in base 13?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**4\/6 + v**3\/3 - 9*v**2. Let d be x(1). Calculate the common denominator of 40\/11 and ((-202)\/(-12))\/((-4)\/d).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4*-3*sqrt(396) - (sqrt(396) + sqrt(396)*-3)*-1) + 4)**2.\nAnswer: 840*sqrt(11) + 39649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, g: 7, e: 5}. Give prob of picking 2 e.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a**2 - 9*a**2 + 0*a**2)*(3*a - a - a)*(2*a - 2*a + a) in the form u*a**4 + p*a**2 + s + y*a + q*a**3 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + j + 5 - 1 - 2*j + 1 + (5 - 1 - 3)*(-3*j + j + j))*(40*j**2 + 12*j**2 - 13*j**2) to m*j**3 + f*j + t + s*j**2 and give m.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125300, -4, -6 in increasing order.\nAnswer: -125300, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + 23. Suppose -9 = o - 5*c - a, -2*c - 16 = -o. Suppose -32*n = -116*n + 43507 - 21014 - 20309. What is the smallest common multiple of o and n?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, and 1 r when three letters picked without replacement from {l: 2, a: 1, q: 1, r: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -22. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, j: 3}. Give prob of picking 4 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 6*h + 7. Let x be w(-7). Solve x = -j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 - -145. Let i be 30\/(-7) - (u + (-7 - -9)). Which is the nearest to i? (a) -5 (b) -36 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/13, 2, -3\/86 in descending order.\nAnswer: 2, 2\/13, -3\/86, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0 - r**2 + 0*r + 1\/6*r**4 - 1\/40*r**6 + 0*r**5 + 0*r**3. What is the second derivative of m(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556708 to the power of 1\/2, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + u = 116, g - 3*g - 3*u = -49. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24502 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2076576 and 21408?\nAnswer: 2076576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from gorroa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 6. What is the units digit of (-6)\/(-2*t\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v - 3. What is b(-4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*h - 318 = 275*h. Solve 10*t + h + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 721718417*x. Let k(l) = -2*l. Give k(p(n)).\nAnswer: -4*n**2 + 1443436834*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**2 + 2*n**2 + 2*n**3 + n**2 to the form o + f*n**2 + j*n + r*n**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5611410 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.6 (b) 438 (c) -0.285\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 1320?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**8\/1344 - h**7\/105 + h**6\/40 + h**5\/120 - 13*h**4\/96 + h**3\/4 - 9*h**2. Factor k(n).\nAnswer: (n - 6)*(n - 1)**3*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 78.67345 years?\nAnswer: 0.7867345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14715 - -4028. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50? (a) -141 (b) -244 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(125)*2 + 1 + 3)**2 + ((0 + sqrt(125))*-4 - 2*(-1 + sqrt(125)))**2 + 0).\nAnswer: -15060 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = c + 43, -20 = -16*c + 20*c - f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117091774 is divided by 4296?\nAnswer: 4294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 2*x**2 + 13 + 11)*((-2 - 2 + 3)*(-2 + 5 + 19) + 1 - 3 + 1) to t + q*x**2 + c*x and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*y - k, -2*y - 3*k - 35 = -24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 24*f - u = 5, 0 = -4*f + 3*u + 16. Let v = -329 - -325. What is the nearest to f in 5, 4, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 - 2. Let a(z) be the second derivative of -z**3\/6 + 3*z**2\/2 + 2*z. Let x(h) = 3*h - 8. Let g(f) = 5*a(f) + 2*x(f). Give 2*g(l) - q(l).\nAnswer: 3*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Suppose -3701*a - 16 = -3*v - 3700*a, 3*v + 5*a = 100. Solve 0*d = y*d - v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**2 + 2*k - 24. Let t(w) = -1. What is -c(j) - 4*t(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4349 + 30*s + 4*s - 4422 in the form j + r*s and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(343) + -1)*-1 + (1 + sqrt(343) + sqrt(343) - sqrt(63)*-6))*-4)**2.\nAnswer: -2400*sqrt(7) + 70144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**3 - v**3 - 2*v**3)*(15 - 3 + 18) to the form g*v**3 + f*v**2 + m + j*v and give g.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -557\/6. Let h be 6\/(30\/(-8) - -3). Let d = 7 + h. Is z at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-156)\/(-13)*(-223)\/(-2). Is (q\/(-10))\/((-1)\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*k - c, 5*k - 5*c = 55 - 20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 163*r + 1244. Let z(k) = 43*k + 311. Let m(g) = 4*s(g) - 18*z(g). Find the first derivative of m(a) wrt a.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, 0.1, 1 in descending order.\nAnswer: 1, 6\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebe when four letters picked without replacement from {e: 3, k: 8, b: 2, l: 2}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*c**3 + 2 - 2 - 72*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207292*g**2*i + 123*g*i - 3*g + i + 2 wrt g?\nAnswer: 414584*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294960, -589911, -884862?\nAnswer: -1179813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8243.711 to the nearest ten.\nAnswer: -8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 3*g - 5. Suppose 17*a + 20 = -82. Calculate r(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 5) to base 4\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 6*w - 8. Let z be h(10). Suppose o = 2*j + j + 19, -j - z = -4*o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 400 and 7314872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/5 + 540264*n\/5 + 2269197.\nAnswer: -(n - 540285)*(n + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 218890?\nAnswer: -218895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1133 (base 4) to base 12\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 288*(-7 + 115\/10). Suppose j = 10*h - 1764. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 551 = 5*y, -a - 2*a - y = 437. Let z = a + 169. Solve -2*s - 5*n + z = -5*s, 15 = 3*s + 3*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -532166, -532212, -532288, -532394, -532530?\n\"Answer: -15*r**2 - r - 532150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(34) + sqrt(850) + sqrt(850)*-2 + sqrt(34) + sqrt(136)\/sqrt(4)*-6 + sqrt(34))\/(((sqrt(2) - sqrt(8))*2 - sqrt(2)) + -1*-2*sqrt(2)).\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(133)*1*4)\/(sqrt(7) + sqrt(448) + sqrt(448) + (sqrt(448) - (sqrt(448) + (sqrt(448)*-1 - sqrt(448)))) + sqrt(448)) + -5)*1 + 0.\nAnswer: -5 - 8*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -592.9 and 0.06.\nAnswer: -592.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13932 and 344?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 + 3 + 2563360*t**2 - 2563360*t**2.\nAnswer: 8*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3988, -3, 0, 1 in ascending order.\nAnswer: -3988, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -4.7. Which is the closest to -0.1? (a) 0.5 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1297 + -1aa78?\nAnswer: -19791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-8 - -4)) + 5 - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, j: 11, p: 4, i: 1, z: 1, g: 1}. What is prob of picking 2 j and 1 g?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 6*w**2 + 9*w + 15. Let b be f(-6). Let p = -34 - b. Let j = -7 - -7. Solve -p*o + j*o + 7 = -2*t, 16 = 4*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 2 = 0. Let a(t) be the second derivative of -t**4\/6 - t**3\/3 - t**2\/2 + t. Determine a(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4160458670 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - d = 3*y + 4, 5*y = -4*d - 16. Let l be ((-3)\/4)\/(6\/(-28)). Let p = l + -17\/6. Which is the nearest to y? (a) -1 (b) p (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rur when three letters picked without replacement from raaurruuru?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1013*u + 1. Let m(y) = 4*y. What is b(m(g))?\nAnswer: -4052*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhxxllllxe. Give prob of sequence le.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 100075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 16*c**2 + 4*c + 72. Let j be s(-16). Suppose -3*i + 28 + 6 = h, -3*h + 47 = 4*i. Suppose -15 = -v - 6. Solve -v*x = -i*x + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(304) + -5 - sqrt(304) - (sqrt(304) + 0)**2*-1.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001011011011 - -10?\nAnswer: 110000001011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**2 + 17*s**3 + 39*s**2 + 7.\nAnswer: 17*s**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 + 31 + 36)*(-3*y + 3*y - y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 2*x**2 + 3*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57102 divided by -3971.\nAnswer: 57102\/3971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -177. Let k = -106 + d. Suppose 3 - 28 = 3*v - 4*x, 2*v + 18 = 3*x. Which is the third biggest value? (a) -0.02 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117972, 1117971, 1117970, 1117969?\nAnswer: 1117968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - (36 + 29) - -35) + 0 + -55?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 10*i**2 - 50*i + 14. Give t(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/8 + 49\/(-8). Let c be 2\/v - (-44)\/33. Is 3 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 195. Let f be x\/(-405) - (-4)\/18. Which is the nearest to -1? (a) 0.5 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -18*c**4\/7 - 554*c**3\/7 - 1424*c**2\/7 - 664*c\/7 + 32 = 0.\nAnswer: -28, -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/12 + 3*o**3\/2 - 3*o**2\/2 + 31*o. Is g(-12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138950 divided by 397?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393624 and 213?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = -0*c. Let a be 0*((-15)\/6)\/c. Suppose 5*n + 2 + 3 = a, 0 = 2*o + n - 15. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48540691.\nAnswer: 307, 158113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 700111412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101541724 and 1112.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 327 = 41. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1186777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**3 + 59*i**3 - 6*i**3 + 7*i**3 + 55*i**3.\nAnswer: 111*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-260346)\/(-12))\/((-3 - -7)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162190008 to the power of 1\/2, to the nearest integer?\nAnswer: 12735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4677152 and 39\/308?\nAnswer: 360140704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157369513 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + l - 39 - 0, -v + 4*l = -12. Solve -29 = -4*a + 3*p, -4*p + v = a - 5*p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1546025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7272 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2232 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -266220 + -16?\nAnswer: -266236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 52 = -w, -862*w = -3*b - 865*w - 39 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1374 - -1396 - (-7 + -38)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/80 and -113\/100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 377 - (-1 - (3 + -2)). Suppose -u + m = v, 4*u = -v + 304 + 72. Suppose 0 = -3*k - 5*g + 411, 3*g + v = 5*k - 339. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**7\/280 - x**6\/360 + x**5\/60 - x**4\/8 + 2*x**3\/3 + 2*x**2. Let i(d) be the first derivative of t(d). Does 6 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + w - 47, 4*w + 4 = -2*l + 52. Let b = -11 + l. Solve -d = -b - 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 8 = -n. Let t be ((-21105)\/28)\/(-9) - 1\/(-4). Let x be n\/(-6) - 217\/t. Which is smaller: -3 or x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*z**3 - 24*g**3*z**2 + 1987*g**3*z - 2*g**2*z**2 - 8*g**2*z - 251*g*z**3 - 2*g*z**2 + 8*g*z - 3*z**3 wrt g?\nAnswer: 12*z**3 - 144*z**2 + 11922*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000492 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*(4 + (-2 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3050 and -61\/4.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(357\/(-35) - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 7 - 1. Let b be (o\/(-8))\/((-15)\/40). Let j(a) = -4*a**2 - b + 3*a + 0*a**2 + 5*a**2. Give j(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/40*-1*1. Suppose s = -2*g + 4*y + 584, -5*g + 179 + 1266 = 5*y. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*r + 14720 + 10620, -5*j + r + 25315 = 0. What are the prime factors of j?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*n - 7*f + 2*f, 2*n - 3*f = 55. Calculate the remainder when 111 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-17)\/((-136)\/16) + (140 - -1)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 - -127. Let n = -13 + -6. Let h = n - o. What is the nearest to -3\/4 in -0.6, h, -0.1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0 = 378. Find the common denominator of 2 + (0 - y\/(-16)) and 47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4734 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2197784 litres to millilitres.\nAnswer: 219.7784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*y - 67 - 42 + 83 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 16) to base 2.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 75 = 36. Suppose -2*f + 35 = -f + 5*p, 0 = 5*f - 2*p - 40. What is the remainder when u is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404969 is divided by 50619.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + d**2 - 3*d**2 + 4 - 7 - 1.\nAnswer: -2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.066083 and -2.\nAnswer: 0.132166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, f: 9}. Give prob of sequence fff.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 4*j**2 + j + 4. Let f be s(-4). Suppose f = 4*y - 3*v - 223, -3*y + 3*v = -v - 169. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 17. What is the units digit of z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9370604.393 to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 196*g - 190*g. Suppose -4*f = 3*b - 725, -86 = g*f - b - 978. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + y = 15, -3*y = 3*q - 0*y - 21. Suppose -q*p - 6*p = 0. Let r(m) = m**2 - 6*m + 25. What is the remainder when r(p) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/835, -3.4, 1?\nAnswer: -2\/835","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*t - 4*g, 5*g = 5*t - 5 - 70. What is the remainder when 449 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + f - 2*f + 410 - f. Let u be t(0). Suppose 5*i = -0*i + u. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391170?\nAnswer: 2, 3, 5, 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqchqhqqishqcqiho. What is prob of sequence qcis?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 56\/19 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 12*x + 135 = -7*x, 0 = 3*j + 5*x - 89. Suppose 276 = -j*y + 26*y. Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1868 + 1874 - 287*o**3 - 3742.\nAnswer: -287*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-11))**(-49) assuming i is positive.\nAnswer: i**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 453, 1066, 1929?\nAnswer: 3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/5 - 622*w\/5 - 40179\/5 = 0.\nAnswer: -59, 681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 17 - 12)*(2*u - u**2 - 2*u)*(0 + 2 - 3) in the form o*u + x + q*u**2 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18704 or -18703?\nAnswer: -18704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6704727431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -7. Let p = 3 - l. Solve -p*x = -3*k - 18, 0*k - 2*k - 4 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 609 * 14.\nAnswer: 8526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((484388\/6)\/2)\/(77\/(-14)). Let h = 7340 + d. Find the common denominator of h and 88\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - p + f + 15 + 95, -12*p - 5*f - 334 = 0 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 496239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.8 + -10. Let t = y - -50.9. Let z = t + -17. Is -0.16 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/12 + 2\/(-3). Is (-1)\/(2\/(-180)) + q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/30 - j**5\/30 - j**3\/6 - 261*j**2. Calculate p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 3:22 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijimafajmiihimmm. What is prob of picking 1 m, 1 i, and 1 j?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (25 + 0 + -22 + 3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2*n, 2*n - 4*c = -c. Suppose n*m - 72 = -m. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 756306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 64*o**2. Let v(g) = 693*g + 688*g - 2088*g + 691*g. Give n(v(j)).\nAnswer: 16384*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l + 49*l - l)*(-149 - 4 + 62)*(-1 + 2 - 2)*(3 - 1 + 2) in the form w*l + k and give w.\nAnswer: 19656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19613690827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*q + 1093 = 1119, -15 = -3*q. Solve -t*i + 37 = 5*v, -5*i - 19 + 54 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442023 (base 7) to base 9\nAnswer: -127320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 3\/(27\/2) + (-104)\/(-18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1463*c - 1155*c + 177*c**3 - 151*c wrt c.\nAnswer: 1062*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 4:05 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40978, -0.2, 0.4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0.3 (c) 3 (d) 13 (e) -113158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4020 divided by -6\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Let j(h) = 3*h**2 + 271*h. Give j(w(x)).\nAnswer: 3*x**4 - 271*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 16) to base 4\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:35 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103150, -206300, -309450, -412600?\nAnswer: -515750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-96) + -1 + 12 + -561*5\/80?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381067 divided by 3.\nAnswer: -381067\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - 5\/((-20)\/(-12)). Let l(r) = -r**2 + 5*r + 1. What is l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*g + 4, f + 55 = 2*g + 50*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 184. What is the greatest common factor of 160 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 563, 3.8, 3\/4?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121482748 divided by 1.\nAnswer: 121482748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -64*i + 69*i, 2*c - 5*i - 799 = -3*c - 824 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 8*f**2 - 6*f - 7. Let z be y(7). Is (-1635)\/(-3) - (4 - z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(7) + -3) - ((sqrt(1008) - 2*sqrt(1008))**2 + -1).\nAnswer: -1001 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -521*j*v**4 + 24*j*v + j - 50*v**5 - 485*v + 2 wrt v?\nAnswer: -6252*j*v**2 - 1000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, 4, 5 in decreasing order.\nAnswer: 5, 4, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 3)**2 + -3.\nAnswer: 42*sqrt(19) + 937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**2 + 0*c - 40*c**2 + 0*c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1054*j**2 - 1. Let d(z) = -5*z. What is q(d(r))?\nAnswer: 26350*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 25*f**2 + 1618*f - 8. Let q(m) = 16*m**2 + 1075*m - 5. Calculate -14*q(k) + 9*z(k).\nAnswer: k**2 - 488*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188138, -189150, -190836, -193196?\nAnswer: -196230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.515 - 0.085. What is t rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 16520*r**2 - 13628985*r + 27324090.\nAnswer: -5*(r - 2)*(r + 1653)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2)\/((-9)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 60*q + 4147. Give m(-101).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 23. Let h be z(-8). Let k be (h + 5)\/(-3) - -5. Solve 2*x = -3*i + k, -2*x - 1 - 2 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98109*x = -96726*x + 110640 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.451739236 rounded to 3 decimal places?\nAnswer: -0.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.04 + -4. Let t = r - 0.34. Sort -0.2, -1\/3, t.\nAnswer: -1\/3, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.339 - 1.661. Which is the closest to l? (a) 0.5 (b) 23 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 - 471*j**3 + 211233*j**2\/2 + 2499170*j + 13590954 = 0. What is j?\nAnswer: -13, -9, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 334, 642, 1038, 1528, 2118, 2814, 3622?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (387\/86)\/((-9)\/(-82666)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991263445 to the power of 1\/8, 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 ouaoomuoo. Give prob of picking 2 u.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 10, 0, 5 in descending order.\nAnswer: 10, 5, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rddhh. Give prob of picking 1 r and 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229 + 338. List the prime factors of y.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1207, 9 in descending order.\nAnswer: 1207, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 2381801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 5*g - 1193 + 1212, -g + 0 = -2*v - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, -2.7, 0 in decreasing order.\nAnswer: 0.5, 0, -2.7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20495102*c**3 + 10583946.\nAnswer: -61485306*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1017, 3, 7, 0, -4 in descending order.\nAnswer: 7, 3, 0, -2, -4, -1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 9*f - 90 = 0. Let j(t) be the second derivative of -t**5\/2 - t**4\/2 + 45*t. Let k(o) = 9*o**3 + 5*o**2. Calculate f*k(q) + 5*j(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -884 + 899. Suppose 3 = -3*p, -3*x + 4*p - 73 = 5*p. Let q be x\/l + 1 + 147\/70. What is the closest to 0.3 in -3, -3\/7, q?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1203 - -1689. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2 + 213*u - 49. What is v(44)?\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 5 + 3 + 3*a - 10*a. Let b be j(-7). Suppose -17 - b = -h. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 v, and 1 z when four letters picked without replacement from vvyyvvonzzyyz?\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + -253. Let m = u - -3001\/10. What is the third smallest value in m, 0.4, -4, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2 - 1231*l - 1232 = 0.\nAnswer: -1, 1232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0373 and 26.8029.\nAnswer: 0.99974817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -13*s + 872. Let a be z(81). Which is smaller: a or -179?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -837 - l - 840 - 839 + 1859*l**2 + 2515 - 2*l**4 - 4*l**4 to f + i*l**4 + a*l**3 + h*l**2 + d*l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(7) - (sqrt(7) + 0 + 2 - sqrt(7))) + (sqrt(210)\/sqrt(5))\/sqrt(6))*-4.\nAnswer: -8*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -192375+-0.01314\nAnswer: -192375.01314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-14)\/(420\/66)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u**3 + 2*u**2)*(3*u**2 + 4*u**2 + 0*u**2) + 0*u + 0*u - 2*u**5 + (4*u - 4*u - 8*u)*(3*u**4 + 2*u**4 - 8*u**4).\nAnswer: 36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9671?\nAnswer: 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + z = m - 7, 3 = -m + 3*z. Suppose 4*s - m*d - 2008 = 0, -3*s - 2*d + 585 = -938. List the prime factors of s.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92715027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/13 + 5108*x**2\/13 + 35834*x\/13 + 3940 = 0.\nAnswer: -5, -2, 2561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 9 = -p - 2*u, 2*p + 21 = -3*u. Let z(m) = m - 1. Determine z(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 28, -37*k = -q - 38*k + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express g - 246 + 246 + 175*g**2 in the form x + i*g + d*g**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(2\/7)*((((l**(-1)\/l)\/l)\/l)\/l)**(-2\/3) assuming l is positive.\nAnswer: l**(76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 5738 + 5738. Let q(w) be the first derivative of -w**3 + 13. Determine t(q(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7224 - -18315. What are the prime factors of j?\nAnswer: 3, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00111214 to 5 decimal places.\nAnswer: 0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 464*g**3*r**3 + g**3 + 164*g*r - r**3 wrt g.\nAnswer: 2784*g*r**3 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3 - 180*x**2 - 1528*x - 91677. What is p(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 4:55 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40198, 80394, 120590, 160786, 200982?\nAnswer: 241178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6 - 2) + 4834)\/(-8 + 10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208482327 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 817627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(200)*3 + sqrt(200) - sqrt(2)) + (0 + sqrt(2)*-2*-5)**2.\nAnswer: 39*sqrt(2) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 1.4 (b) 4 (c) -13\/4692\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.128?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1.5. Let p = 5 - s. Let v = -1 - 0. Which is the third biggest value? (a) p (b) v (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiyehexhhihxheiixh. Give prob of sequence hhei.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1451 by 122.\nAnswer: -1451\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87604 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: Let g(a) = -3*a - 4. Let u be g(-3). Suppose 0*n + h = -3*n + 3, -h + 7 = u*n. Solve 8 = -2*b + 2*j, 4*b - 3*j - n*j = -17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 2. Let r(b) = -6*b - 6. Suppose -15 = -5*x, -k - 3*k = 5*x - 23. Suppose 5*n - 2*n = -y, 5*y - k*n + 17 = 0. Determine y*r(w) + 8*z(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) 215 (c) -0.1 (d) -1.59 (e) 5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108874)\/((-74)\/24 + 3). Let c = j - -2743551. Let a = c - -1349961. What is a rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/20 - 11*w**4\/24 - 11*w**2. What is the second derivative of k(v) wrt v?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 11:58 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11382*l**5*u + 11*l**3*u**2 - 237*l*u**2 + 2*u**2 + 617 wrt l?\nAnswer: -227640*l**3*u + 66*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-3\/8) assuming w is positive.\nAnswer: w**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Suppose -110*p = -113*p + 42. Let f(j) = j**3 - 15*j**2 + 13*j + 16. Let y be f(p). Which is the closest to -2? (a) g (b) y (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 329 and -22318?\nAnswer: 22647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3. Suppose -4*t - 3*j + 135 = -n*t, 0 = t + j - 33. Let d = -3 + t. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.1. Let h = 2.4 + 2.7. Let y = h + -7.1. What is the nearest to 1\/2 in 4, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 46*o**2\/15 + 44354*o\/15 - 2316 = 0. What is o?\nAnswer: -965, 18\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 + 21*n**2 + 30*n + 346. What is the remainder when j(-8) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.7 and 7237.4152382.\nAnswer: 7236.7152382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -74, -109?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9e (base 15) to base 4\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 4766039729036\nAnswer: -4766039729055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -111 (c) 117 (d) -0.527\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3477.024 years?\nAnswer: 41724.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (sqrt(28) - sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/3 + 8*m**2\/3 + 44*m\/3 - 16.\nAnswer: -4*(m - 4)*(m - 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*i + 4, -4*i = -2*v + 3*v - 20. Suppose -q + 5 = -a, 0*a + 10 = -2*a. Let k(x) = q*x**2 - 111*x + 109*x - x**2 + 6. What is k(v)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.868 - 4.868. Let m = -3.98 - -4. Sort m, -1\/6, b in descending order.\nAnswer: m, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 - 11733209*q + 0*q**3 + 11733209*q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 25, 2*m + 5*t = -3 + 198. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwxsxxqkwwws. Give prob of picking 1 x and 1 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327321968 to the nearest integer?\nAnswer: 18092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9315152 and 8624?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*k + 793 - 2164, -3*k - 1857 = -4*l. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -0.92.\nAnswer: -13.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8*w - 140. Suppose 10*o = 5*o + w. What is the lowest common multiple of 2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -22. Let a be (-10 + 12)*2\/o. Let f = 11 - 6. What is the nearest to a in -2, f, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f + 5. Let s be k(8). Let o(r) = -r**2 + 6*r - 3. Let i be o(4). Let t(v) = v**2 - 38*v + 84. Let z be t(36). Solve 0 = -i*d - z - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyjvyyvvvyfyyvvv. Give prob of picking 1 f and 1 y.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 4*l = 10*v + 768, 3*v = -l + 471. What is the remainder when v is divided by 64?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3612, -3741, -3870, -3999?\n\"Answer: -129*k - 3483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + 1 + sqrt(17).\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 28*h**3 - 7*h**2 - 7*h - 18. Let z(u) = 29*u**3 - 6*u**2 - 6*u - 18. Let q(w) = -6*r(w) + 7*z(w). Differentiate q(x) wrt x.\nAnswer: 105*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5724 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2378\/6 + 11\/(-33). Suppose -8*q = -12*q + w. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45.8 times 60.132\nAnswer: -2754.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/54*3*(-2)\/8\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 117 + 48\/(912\/(-1159))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/112*64904\/114?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -49. Let u be ((-54)\/(-42) - (-6)\/(-21))*23. Suppose -u = 3*h - 173. What is the highest common divisor of h and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 4, i: 1, m: 3, a: 1, p: 6, n: 5}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -31330233?\nAnswer: 31330233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 + 6 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:49 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 3*r + 25 = -8*m, -2*m - 2*r - 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/4 - (0 + 5)\/10. Let g(f) = f**2 - 7*f + 5. What is g(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/(-6))\/(4\/6). Let b(s) = -s**2 - 6*s + 10. Let a be b(v). Let t be (a\/(-3) - -3) + -2. Solve y = -t + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 8. Let p(h) = h**2 - 3*h - 4. Let m be p(4). Suppose m = -b - 4*d + 4, -5 = -3*b - 5*d. Solve b = l + 5*k - y - 1, k = 5*l - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**2*g + 16604*b*g - 16*b - 6354590*g wrt b.\nAnswer: 8*b*g + 16604*g - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgkkggkkgg. What is prob of picking 1 k and 1 g?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4 = 3*r, 4*r - 5 = 5*p + 1. Let n be 4521\/(-176)*p\/90. Let v = -7\/16 - n. Put v, -0.2, 0.1, 0 in decreasing order.\nAnswer: v, 0.1, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -3*w - 28. Calculate the highest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20701*l**3 + 97*l - 5.\nAnswer: 124206*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 2 - 4 + 26 - 369*u.\nAnswer: -369*u + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12901 - -12892. Let d(f) = -15*f + 2. Let o(j) = 8*j - 1. Give u*o(b) - 4*d(b).\nAnswer: -12*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*p**2*v**2 + 3*p**2 + 6*p*v**3 + p*v + 3*v wrt v?\nAnswer: 40*p**2 + 36*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from xxdxdhdxxxxxddxxhd.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650264 is divided by 9424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-144228)\/(-168) - 3\/2?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*x**4 + 18*x**4 - 10*x**5 + (x**4 - 4*x**4 + 5*x**4)*(-x + 3 - 3) + x**5 - 5*x**5 + 2*x**5 - 2*x**5 - 2*x**2 + 2*x**2.\nAnswer: -16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 205*b**3 - 26090*b**2 - 877125*b - 627750 = 0.\nAnswer: -27, -30\/41, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4128 + -4.5872. Which is the third smallest value? (a) 16 (b) -0.4 (c) -2 (d) n (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*x, 0*i + 2*x - 14 = -4*i. Let a = 138 - 118. Let c be (i\/a)\/(2\/(-16)). Which is greater: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -582, -1176, -1776, -2382, -2994, -3612, -4236?\n\"Answer: -3*r**2 - 585*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 180463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214 (base 12) to base 14.\nAnswer: -a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g - 5. Let n be m(3). Let a = n - 11. Solve 0*h - 4*h - a = v, v = 4*h + 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 5 - -18 - (-2275 + 2255).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(x - 4 + 4) - 3*x + 2 - 2)*(727 - 727 - 383*x).\nAnswer: 766*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138 - 83 - (47 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 19*m**2 - 35*m - 14. Let z be d(-17). Solve 5*v - 4*v - 1 = -w, -z*v + 1 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696711.\nAnswer: 1696711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375247 divided by -1187.\nAnswer: -375247\/1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**2 + 550*d + 353. Determine r(-68).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 + 608 = 7*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 75. Let v(a) = -6*a + 2. Let w be v(-2). Calculate the highest common factor of g and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -169 and -21.908.\nAnswer: 3702.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 151*u**2 + 872*u - 204. Determine f(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21317 - 21287. Let j(i) = -118*i + 22. Let k(x) = 17*x - 3. Let t(c) = 6*j(c) + 44*k(c). Let a(d) = -d. Calculate w*a(h) + t(h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 6. Let o(x) = -7*x + 2. Give -d(f) - 4*o(f).\nAnswer: 29*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + 6\/21. Suppose o = -3*b + a + 81, -5*b - 5*a + 81 = -74. Solve -4 = -d + p - 10, 5*p = 3*d + b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12*i**3 - 8*i**2 + 5*i - 5. What is the hundreds digit of q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*y + 2*y**2 - 33*y + 0*y**2 + 62*y as c*y**2 + t*y + g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**5 - 174*k - 23*k**2 - 112*k**4 + 5 + 63 + 9*k**5 + 168*k**3 + 67*k**2 = 0?\nAnswer: -1, 2\/3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -1619306870 to the nearest one hundred thousand.\nAnswer: -1619300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 755626 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 - 5*u + 7. Let r be s(-5). Let y = -4 + r. What is the second derivative of -y*p**3 - p + p + 3*p wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (61 - 1)\/(21\/14). Suppose -2*q + m = 2*q. Suppose q = 4*l + l, -138 = -4*o + l. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 0 + 0 + (3 - 3 - 2*d)*(-4 + 1 + 5) - d + d + d - 4*d + 8*d - 7*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 + 149. Let v(z) = -98*z + q + 338*z - 6. Let i(l) = l. What is v(i(y))?\nAnswer: 240*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76472.2409 rounded to the nearest 10?\nAnswer: -76470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y**(-7\/5)*y*y)\/y*y*y**(-4))**(-19)\/(y**(2\/3)\/(y*y**(1\/15)*y))**(5\/19) assuming y is positive.\nAnswer: y**(4367\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 988897770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 407 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 977123, 977125, 977127?\n\"Answer: 2*b + 977121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193584 divided by 1143.\nAnswer: 64528\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 38738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4149351163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311343 by 3.\nAnswer: 103781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - -382. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/(x\/(x\/(x**1\/x))))\/x*x)*x\/(x*x**(-2))*x\/(x*x*x*x**(-4\/3))*x*x*x**2)\/(((x*x**(-5\/2))\/x)\/x**4)**(-2) assuming x is positive.\nAnswer: x**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-41)\/(-18) + 10\/45). What is the second derivative of 55*a + a**2 - a**2 - 13*a**z - 19*a wrt a?\nAnswer: -260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 129.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*a - 2*a - l, a - 3*l - 34 = 0. Suppose j + 1 - 7 = 4*k, 0 = 5*k + 2*j + 14. Calculate the remainder when a is divided by k\/8 - 111\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 24*u - 64.\nAnswer: 4*(u - 8)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 566466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1 + -1 - 1\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 1 + 11 - 14*f**2.\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/8)\/((-15)\/20*2). Let s(t) be the first derivative of -t + 1\/3*t**3 + 3 - o*t**2. What is s(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28167 (base 10) in base 16?\nAnswer: -6e07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 14) in base 13?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/9)\/(d*d**(-4)*d))\/(d*d\/d**(-1\/2))**(-1\/53))**6 assuming d is positive.\nAnswer: d**(1529\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t + 2 + 126*t**3 - 127*t**3 - 2*t**2 + 2*t. Determine s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -3, 2\/11, 2, 2\/61, -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94396759*d**4 - 101209365*d**2 wrt d.\nAnswer: -2265522216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 13378144\nAnswer: 3\/13378144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 3*h**2 + 12*h + 12.\nAnswer: -3*(h - 2)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 258, 552, 964, 1494?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 40*z**7\/7 - 2*z**5\/5 - 12*z**3 + z**2\/2 - 29. What is the third derivative of s(f) wrt f?\nAnswer: 4800*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*a + 1485*a + 19 = -2*u, -2*a = u + 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/32 and 125\/48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*c + 42, 13*c - 108 = -5*w - 0*w + 5*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqmmbbqbqqbqqqq. Give prob of picking 1 m and 1 q.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/608)\/((-10)\/(-30))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4375\/(-50)*(-100)\/(-625)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*(-3)\/(-3)*-2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 - 66. Suppose -c = 2*k - 418, 0*k + i*c - 842 = -4*k. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2 - -0.2. Let l = -12 - -12.7. Let s = l + -0.4. What is the second smallest value in s, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23222 (base 6) to base 14.\nAnswer: 12d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -629*c**6\/15 + 881*c**3\/6 + 523*c. What is the second derivative of u(a) wrt a?\nAnswer: -15096*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s**3 + 0 + 1\/140*s**7 - 1\/16*s**4 + 1\/80*s**6 - 1\/40*s**5 - 2*s**2 + 0*s. Factor h(j).\nAnswer: 3*j*(j - 1)*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.9 - 54. Let f = p - -1.1. Let o = f - 6. What is the nearest to 1 in 0, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352982 is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94297 divided by -6.\nAnswer: -94297\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (12 - (14 + (-32 - 12)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**3\/5 + 1384*b**2\/5 + 4098*b\/5.\nAnswer: 2*b*(b + 3)*(3*b + 683)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -41*y**3 - 3*y**2 + 47*y + 2. Let g(t) = t**3 + t**2 - 19*t - 1. Give b(h) + 3*g(h).\nAnswer: -38*h**3 - 10*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 492*z - 5399. Calculate x(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -34, -35, -1.\nAnswer: -35, -34, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81765 and 414.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-27 + -10 + 12 + 8).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = 1. Solve a = -3*v - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2. Let q(f) = f**2 + 3*f - 50. Let y be q(-11). Let p(k) = -y*k**2 - 12*k**2 - 3*k**2. Give w(p(r)).\nAnswer: -8427*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979678, 1959356, 2939034, 3918712, 4898390?\nAnswer: 5878068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2 (c) 1\/342 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/25*177\/(-236).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 702615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -582963.0154 - -583067. Let i = -104 + f. What is i rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*x + 3*x + 138, 3*x - 6 = 0. Calculate the remainder when y is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (5\/2)\/(-2 - (-5559)\/2772)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33424 (base 6) to base 10.\nAnswer: -4696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -5981.\nAnswer: -4\/5981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2 - 3*x. Let r(u) be the third derivative of u**5\/12 + u**4\/12 + 2*u**2 + 52*u. Determine 3*g(i) + 4*r(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 2. Let x = -100 + 108. Suppose -30 = -13*k + x*k. What is g(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4729467 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 7. Let m(c) = 20*c + 20. Let p(s) = 6*m(s) - 17*n(s). Let b(r) = 4*r + 8. Let t(o) = 2*b(o) - 12*p(o). Give t(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*257.\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 20*m + 45. What is the tens digit of (0 - 190)\/(-17 - m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-13) - (-80896)\/(-55458).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 2. Let c be p(4). Let z(m) be the second derivative of m**5\/20 - 5*m**4\/12 + 7*m**3\/6 - m**2 + m - 13. Is 30 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835 divided by 818?\nAnswer: 6835\/818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 43681*t**3\/7 + 627*t**2\/7 + 3*t\/7 + 1224. Let x(y) = 0. What is y?\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1637\/603 + -33\/67. Let r = n - 49\/18. Are 0 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*s + 163 = 0, -3*g - 2*s - 251 = -s. Let x be (-21)\/g - 13\/4. Let a be (3 - -4 - 4) + x. Solve -2*v + a = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20898)\/(-3096)*(-32)\/(-6)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156313 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -7*f. Let b be (3 - 0)\/(f + -1 + 3). Solve -2*g = 5*q + 8, -8 + b = -3*g + q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2786658.1.\nAnswer: 278665.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 11*f = 0. Let p(t) = 2*t - 9. Let m be p(6). Suppose 4*i - 4*c + 0*c - 1040 = f, m*i = 4*c + 781. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 34*h - 43*h - 21*h.\nAnswer: -107*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x - 17*x - 6*x + 5. Let i(s) = -6*s + 2. Let h(w) = 3*c(w) - 8*i(w). Let o be h(1). Put o, 3, 1 in ascending order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -505 - -509. Solve -4*k - o*m = 24, -2*k + 2*m = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*l + 3)*(1 + 0 - 2)*(-2*l**2 - 3*l**2 - 4*l**2).\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3490 - -17447\/5. Let q = 1.96 - 2. Which is the smallest value? (a) q (b) d (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 292.679722368 - 0.7.\nAnswer: 291.979722368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f + 2*f - 3 - 11*f + (0*f + f - 2*f)*(-3 + 4 - 2).\nAnswer: -3*f - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4)\/t**(-10))**(2\/67) assuming t is positive.\nAnswer: t**(39\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -8, 2.\nAnswer: -8, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2622 - 7766\/3. Let m = 33 - z. Let o = -36192\/55 - -658. Put 1, o, m in ascending order.\nAnswer: m, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 384413826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18933222 divided by -462.\nAnswer: -40981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 3, -12934 in descending order.\nAnswer: 5, 3, 1, -2, -12934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*q - 34*q + 30. Find the common denominator of -106\/105 and (1886\/(-2530))\/(3\/q).\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from iffilffiffiififfff?\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + -1 + 4\/(-1). Let k(b) = -b**2 + 3*b + 5. Let r be k(u). What are the prime factors of (-67)\/r + 24\/(-60)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 34. Let z be q(20). Let o be (-1 + 10)\/((z\/969)\/(-2)). Suppose 8*l - o = -9*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a**2 - 17*a**2 - 17*a**2 + 52*a**2. Let h(f) = 5*f**2. Determine x(h(n)).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 8, l: 2, v: 4}. What is prob of picking 3 v and 1 l?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 12*k - 15. Let j be g(10). Let p(r) = -3*r + 3. Let x be p(-10). Suppose 12 = -3*v, j*v + 0*v + x = c. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011 - 111010010100011010?\nAnswer: -111010010111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20700 is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -13. Suppose 3*h + p*g = 260, -5*h + g = 46 - 470. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (39906\/(-25865) + 18\/(-21))*((-10)\/3 - 0). Find d, given that -118\/3*d**3 + 94\/3*d - 10*d**2 + w*d**4 + 10 = 0.\nAnswer: -3\/4, -1\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(180) + sqrt(180) + -3 - sqrt(60)\/sqrt(300)))**2.\nAnswer: -12744*sqrt(5)\/5 + 126936\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5732795 + 5732795 + 25107*k**3.\nAnswer: 25107*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19382057 + -387538741\/20. Let r = n + -5118. What is the common denominator of r and -47\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7105687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 8378*f + 6511060.\nAnswer: -2*(f - 670)*(f + 4859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -608.89 - 5.11. Let y = r + 613. What is the nearest to -9\/4 in y, -4, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2bbca (base 14) to base 2\nAnswer: -11010101100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 9. Let y(l) = -6*l + 7. Let v be y(s). Suppose -60 = -4*n - 4*p, -4*n - 2*p + v = -5. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 13*q**2 + q - 1. Suppose -2*f + 5*f = 3. Let r be s(f). What is the greatest common factor of 143 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*c = -0*h - 76, 4*h + 142 = 2*c. Let i be 44\/h + (-4)\/(-18). What are the prime factors of 68\/(2 + (i - -1))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -13. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + i**2 - i + 17. Give f(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/12, -5, 3\/146, 2\/5, 2?\nAnswer: 3\/146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-3)\/15 + 933\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.3, -5, 3.\nAnswer: -5, 1\/5, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89876*t = -89863*t + 182 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(228))\/sqrt(12) + 2.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 450074 + 4?\nAnswer: 450078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 3*l**2 - 5*l + 2. Determine a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279445 is divided by 995?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -72\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/4 - 2*r**2 - 8*r. Find the first derivative of u(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 12 = 16*k. Suppose 0 = -y - q + 7, -3*y + k*q + 6 = -3. What is the highest common divisor of 2 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 7*b - 5. Let t(w) be the second derivative of -w**4\/12 - w**3 - 2*w**2 - 109*w. What is 7*t(i) - 6*v(i)?\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -2)\/((17 - 8)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*(sqrt(143) - -1*sqrt(143))*2)\/((sqrt(396) + sqrt(396)*-5)*-3*-1).\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -14. Solve -4*c + b*x - 13 = 7, -2*x = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 22. Determine t(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 41*m**2 - 296*m + 17. What is j(9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 485*d**2 - d - 2115 wrt d.\nAnswer: 970*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**4 - 4*r**2 + 57*r + 4. Let w(z) = 5*z**4 - 21*z**2 + 284*z + 22. Let i(o) = 2*w(o) - 11*x(o). What is the second derivative of i(v) wrt v?\nAnswer: -12*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2464152 (base 7) to base 16\nAnswer: -4dbb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((5\/(-2))\/5). Let v be x\/12*18\/(-16). Let z be 1*4\/(-30) - 74\/198135*-102. What is the closest to v in z, 2\/3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -4)*2\/(-4). Suppose 7*q + 18 = 67. Suppose 2*g + 3*h = 127, -4*g + f*h = q*h - 249. 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: What is the biggest value in 35, 0, 3, 4, -4, 0.02?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3 = x - 25, -8*b - 26 = 3*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.293451643 rounded to four dps?\nAnswer: -0.2935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.27 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*u + 1943*u - 487*u - 487*u - 482*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 376314131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -12*y**4 - 20024*y**3 + 892284*y**2 + 3500456*y + 1931136 = 0?\nAnswer: -1712, -3, -2\/3, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 - 26 = 0. Suppose 7 = -y + 4*t, -4*t = -3*y - 9 - 12. Let q(l) = l**3 + 9*l**2 + 9*l + 6. What is the remainder when q(y) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < -4\/185365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 472 and 3658?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 12*p**2 + 2189*p**3 - 2185*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -35?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -25. Suppose q*s - 109 = -s - 3*c, s - 2*c - 30 = 0. Suppose -3*f + 4*o + 5 = 0, f = -o - 3*o + 23. What is the highest common divisor of s and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*154\/231?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1024 + 1241?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 230344 - -4?\nAnswer: 230351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2\/7 (c) 3 (d) 2\/3 (e) 20\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 16. Suppose 0 = 4*a - 0*a - 5*o - 6, -4*o = 8. What are the prime factors of a + 25 + 3*n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460471603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 14*z + 16. Give u(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932831.9um to nanometers.\nAnswer: 932831900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 146.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:27 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 16*c**2 - 45*c + 48. Calculate the least common multiple of 189 and a(12).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -40*z**2 + 23*z + 5. Let u(c) = -7 + 46*c**2 - 19*c**2 - 35*c + 33*c**2. Let y(l) = 7*m(l) + 5*u(l). Find the second derivative of y(d) wrt d.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 3*q**2)*(-2 - 9 + 0 - 4 + 1 + 1 + 2 + 1 - 2 + (-1 - 2 + 5)*(3 + 1 - 5)).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1048*i**2 + i - 23. Determine t(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + -0.01. Let q = 0.030002 - v. What is q rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = -1. Let b(d) = -13*d - 23. Let t be b(16). Find the common denominator of 31\/7 and ((-42)\/t)\/(s\/(-25)).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*l**3*z + 79284*a*l**3 + 61*a*l*z - 3*l**3 - 689741*l*z - 4 wrt a?\nAnswer: 2*l**3*z + 79284*l**3 + 61*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 12 + 192*v - 6 + 55 - 15 to t*v + q and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*i - 9207 - 12072 = -3726 + 4027 for i.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - f - 9 = 0, 4*f = -s - 9 - 1. Let l be ((-3 - -3)\/2)\/s. Let g(v) be the second derivative of v**4\/12 - v**3\/6 - v**2\/2 + v. Calculate g(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 12349152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(3 + sqrt(605)*-1))**2 - (-3 + ((0 + sqrt(605))*-1 - (sqrt(605) + -5*(-1 + sqrt(605) + sqrt(605)))))**2.\nAnswer: -38167 + 1342*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**4\/5 - 32*u**3\/5 - 42*u**2 + 92*u\/5 + 144\/5 = 0. What is u?\nAnswer: -4, -2\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1028 and 83\/284084.\nAnswer: 73009588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((-57120)\/459)\/10).\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -3\/4*h**4 + 9*h + 3*h**3 + 9\/2*h**2 + 27. Let z(i) = -i**3 + i**2 + i + 1. What is -l(p) + 9*z(p)?\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91468 and 1248.\nAnswer: 2195232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 14*g**2 - 18*g - 14. Let y be m(-15). Let q(r) be the second derivative of r**4\/6 - 19*r**2\/2 + r + 23. Let d be q(5). Is y bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 81 - 363. Suppose -25*c - 9444 = -n*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62118 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -347637 rounded to the nearest one thousand?\nAnswer: -348000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -10) + -23 - (13 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d - d)*(d**2 - 1 + 1) + 8*d**3 - 5*d**3 + d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(1872) + (2*(-2*sqrt(130))\/sqrt(10))**2.\nAnswer: 24*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.22, 0.3, -0.5, 2, 1140 in ascending order.\nAnswer: -0.5, 0.3, 2, 10.22, 1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*o - 398, -4*h - 400 = -3*o - 3*h. Suppose 0 = 3*j - 122 - o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 9*s**2 - 8*s + 4. Let m be v(8). Let r(b) = 5*b + 0*b - 9 - 4*b - m*b. Calculate the remainder when 23 is divided by r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Suppose 0 = -0*m + 4*m + 12. Let w(a) = a**2 + 1. Let p(h) be the first derivative of 2*h + 4. Let d(x) = m*p(x) + 6*w(x). Give d(o(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00357468494 to 6 dps.\nAnswer: 0.003575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(5))*-4 - sqrt(5)).\nAnswer: -5*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26788553.\nAnswer: 11, 221393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 10. Let w(u) = 3*u**2 + 8*u - 23. Let p(h) = 3*h**2 + 10*h - 22. Let j(n) = q*w(n) - 4*p(n). Find b, given that j(b) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (5 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*f = -3*s - 2, 3 = 3*s - 2*f. Suppose -1 = -k + s. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061694 rounded to three decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(54\/(-6))*(-1)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*g**4 - 1 + 29*g**4 - 26*g**3 + 15*g + 25*g**4 wrt g.\nAnswer: -24*g**2 - 156*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4232 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 113*t + 678. Let v be k(-6). Is -272 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let o(f) = -5*f - 6. Let h(w) = -w - 1. Let v be ((-3)\/6)\/((-2)\/4). Let y(q) = v*o(q) - 6*h(q). Determine s(y(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74924623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -3, -7, -9, -9, -7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is db30 + -34?\nAnswer: daeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13739161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 160680055 divided by -32136011\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32403, 64923, 97445, 129969, 162495?\nAnswer: 195023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 = -7*d + 152*d - 266 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 18. Let j = f - -7.99. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16961956 divided by 44?\nAnswer: -385499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 751\/4, 60, -334?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-14)*f**(-26)\/f assuming f is positive.\nAnswer: f**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u = 60*u - 6*u - 4441060000. What is u rounded to the nearest 1000000?\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 11:19 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7210 is divided by 533.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Let s = 45 + -45. Suppose s = u*j - 8*j. Solve 0 = -3*n + 4*p, j = -2*n + 7*n + 5*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 - 11*c + 29223. List the prime factors of m(0).\nAnswer: 3, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-147)*((-81859)\/(-58578) + 5\/(130\/(-6))).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2198 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15ac2 + -8a5?\nAnswer: -16587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 7. Let y be n(6). Let g = 8 - 10.8. Let v = 3 + g. What is the biggest value in y, -1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h = 16. Suppose 8*c = h*c - 2720. What is c rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.1 (c) 14 (d) 0.2 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:27 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = 30*z + 221 - 597. Solve 36 - 68 = z*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55200, -110400, -165600, -220800?\nAnswer: -276000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1469, 1449, 1405, 1331, 1221, 1069?\n\"Answer: -q**3 - 6*q**2 + 5*q + 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - 56\/16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76058763 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -91*v + 4085. What is o(22)?\nAnswer: 2083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - 12) + (1\/(-3))\/(-1). Which is the closest to 1\/2? (a) 1 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 69 + 474 = 0. Suppose 3*l = 6*l - a. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 13*t - 3. Suppose -57 + 17 = 5*i. Let v be w(i). Find the second derivative of -34*s**3 - 2*s + v*s**3 + 11*s wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*p - 207, 5*w + 14 + 1081 = -2*p. Let z = -130 - w. Calculate the greatest common factor of 435 and z.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -455\/3. Let o = -0.62 - -0.02. Let m = o - -0.7. Which is the closest to 0.2? (a) g (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/3 + 4544*r\/3 + 1516.\nAnswer: -4*(r - 1137)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 325.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5183 is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7733 - -13494. What are the prime factors of f?\nAnswer: 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384028369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31451360 and 323764.\nAnswer: 220159520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 333867288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 4*u + 5*u)*(-4*u + 2*u + 0*u) - 30*u**2 + 12*u**2 - 40*u**2 - 2*u + 2*u**2 - 2*u**2 + 2*u**2.\nAnswer: -54*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -722*(-1)\/(-10)*(-126)\/1197?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -32\/5. Which is the smallest value? (a) 0.3 (b) -2\/53 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 + 217.1. Let d = u + -18.1. Which is the nearest to -7? (a) d (b) -2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 49*w**2 + 752*w + 35099. Calculate v(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1935*m**2 + m. Let b(w) = 2*w. What is b(u(t))?\nAnswer: -3870*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -502, -959, -1386, -1789, -2174?\n\"Answer: -s**3 + 21*s**2 - 513*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -20*l - 13. Let d be r(-6). Let j = -66 + d. Is 41 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 7)*(-3)\/6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (5\/6 + (-90)\/108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190140 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -18*i. Let d(n) be the second derivative of -5*n**4\/12 + 157*n. Give s(d(w)).\nAnswer: 90*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2335*l + 725. Is 124 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-2) + 2 + -1. Let g(x) = 3*x - 5. Let h(m) = -1. Calculate v*g(n) + 5*h(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 45\/7 (c) 12 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 11*v + 4*u + 4 = 0, -5*v = 4*u - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 - 65*p**2 - 260*p - 300 = 0. Calculate p.\nAnswer: -6, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.13 (b) 5 (c) 57 (d) -2 (e) -0.5 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkksttkbktkkfsktk. What is prob of sequence tfk?\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*sqrt(425).\nAnswer: -4 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -3)\/(-5 - -8). Suppose g = 24*z - 15*z - 1197. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197000527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325102.964 rounded to the nearest one hundred?\nAnswer: 1325100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 1.1. What is the second smallest value in n, -5\/3, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -501*r**2 + 6*r. Let p(c) = 8016*c**2 - 99*c. Determine 33*d(m) + 2*p(m).\nAnswer: -501*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -0.4, 5, -3, -0.5 in ascending order.\nAnswer: -17, -3, -0.5, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -4*o. Let z(a) = a. Let w be z(1). What is the nearest to w in -6, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65270 - -11?\nAnswer: -65258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 20 = -80. Solve -2*y + 3*y - 25 = 4*a, -4*y + m*a = -40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23300)\/27960*144\/(-35)\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 2*h - 2*h)*(-14*h**3 - 3*h**3 - 3*h**3) + (h + h + 0*h)*(2*h**3 + 2*h**3 - 2*h**3).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(-205))\/(36\/(-15))*-16?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o - 35. Let x be 266\/o + (-4)\/(-10). Calculate the common denominator of 93\/8 and ((-2)\/x)\/((-2)\/220).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odq when three letters picked without replacement from {o: 3, d: 2, q: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/1)\/((-35)\/15470). Which is greater: o or 440?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -136 + 144. What is the highest common factor of k and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0. Suppose h = -2*l + 8, 8 = -h + 2*l - 0. Suppose -2*k - 2*r = 8, h*k - 2*k + 4*r = -22. Which is the biggest value? (a) k (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iili when four letters picked without replacement from {i: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 33\/5*i**5 - 56 + 48*i**4 + 128\/3*i**3 + 4\/15*i**6 + 0*i**2 - 2*i. Factor x(n).\nAnswer: 4*n*(n + 8)**2*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0693507 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12588 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73796 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-23 - -2 - -14)) + 26\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 2268*b**4 - 15969*b**3 + 41142*b**2 - 45756*b + 18312 = 0. What is b?\nAnswer: -763, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*i - 666*i + 400*i + 134*i - 5*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 26 = -5*o, 3*o - 4*z = 4*o + 14. Suppose 37*y = -5*g + 40*y + 46, 22 = 3*g + y. Let -3*u + u**3 - 3*u**2 + 4 + g*u**o + 6*u + 5*u = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23303122 (base 5) to base 16\nAnswer: -33fb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9379.61 micrometers?\nAnswer: 0.00000937961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i**(-14))\/i)*i*i*(i*i**(-12))\/i)**(-2\/9)\/((i\/(i\/i**1))**(8\/5)\/(i**(-1\/3))**(-16)) assuming i is positive.\nAnswer: i**(118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c**2 + 1. Let u be z(1). Let t(m) = -2*m**3 - m**3 + 0*m**3 + u - 10*m**2 + 4*m**3 + m. What is the units digit of t(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254685, 509347, 764003, 1018653, 1273297, 1527935, 1782567?\nAnswer: 2037193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.3 + -61. Which is the third biggest value? (a) -1\/6 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3011 - -3019. Let y(h) = 3*h**2 + 9*h. Let r(n) = 2*n**2 + 4*n. Let s(b) = 5*r(b) - 3*y(b). What is s(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1)\/(38\/19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + a)*(-2 + 2 + a) + (2*a + 2 - 2)*(3*a - a - 4*a) - 3*a**2 - a**2 + 9*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**3 + 3*l**2 - 6*l**3 + 7*l - 10*l**2. Determine a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d**3 - 13*d**2 + 4*d + 12. Suppose 4*j = -4*p - j + 220, -2*j = -2*p + 92. Let h = 55 - p. Does 14 divide f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 2*b + 4. Let x(o) = -9*o - 9. Let t be x(-6). What is the remainder when (-8)\/(-6) + 30\/t + 70 is divided by m(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 206*t + 373798. Calculate r(-723).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/4)\/((-2)\/(-4)). Let w be (2\/25)\/(j\/25). Let i = -203\/15 + 71\/5. Is w at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/(3\/2 - 3). Let z = 106 - w. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 t when three letters picked without replacement from {b: 3, i: 1, t: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 10. Let a be (-3)\/m*(-138)\/9. Suppose 2*h + a = 79. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220 + 220 + 479*i**4)*(2*i + i - i).\nAnswer: 958*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(216)*-3)\/((sqrt(3) + sqrt(12)\/sqrt(4))*-3 - sqrt(108)*-3))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 0*n + 2\/15*n**5 - 4 + 0*n**2 - 1\/6*n**4 + 0*n**3. Factor q(b).\nAnswer: 2*b**3*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.76917 milligrams to nanograms.\nAnswer: 76769170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 7:30 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 8.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-32)*(-76)\/1425?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**2 - 7*g + 45. Give n(5).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**20)**(1\/36)\/(w*w*w**(-8))**(-8\/13))**49 assuming w is positive.\nAnswer: w**(-23765\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:55 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50686433?\nAnswer: 7, 19, 54443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 152\/32 + 1\/4. Solve -6 = c - p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, e: 4, l: 1, r: 3, v: 2}. What is prob of sequence rrz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -1377297.\nAnswer: -4131891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96964 - 28*l**2 + 96964.\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7516, 7510, 7502, 7492, 7480, 7466?\n\"Answer: -h**2 - 3*h + 7520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035292 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 5 - (-9 + 5 + -6 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upuaupkupqkpuoppp. Give prob of sequence kuoq.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4373, 4366, 4357, 4346, 4333, 4318?\nAnswer: 4301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 135209.872 to the nearest 10.\nAnswer: 135210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 17, x: 2}. What is prob of picking 2 x and 2 v?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 2*g - 8. Let y(o) = 11*o**2 + 46*o + 19. Let s(v) = -4*u(v) + y(v). Factor s(n).\nAnswer: 3*(n + 1)*(n + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 2976124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)\/y)\/(y**(-2\/87)\/y)*(y*(y\/(y\/(y**(1\/16)*y)*y*y))\/y*y)\/y*y**34 assuming y is positive.\nAnswer: y**(44663\/1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 223*t - 929. Calculate q(112).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087168?\nAnswer: 2, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -36, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1586 and 5612.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/47))**(1\/88) assuming u is positive.\nAnswer: u**(49\/4136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34.18 and 1058438186.\nAnswer: 1058438220.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 + 0)*(-4 + 1 + 5)*(-2896366 + 2896366 - 1178*f) to the form c*f + z and give c.\nAnswer: -4712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*1\/(-3))\/(45\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 7 = 200 + 202 + 85 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b - 3304. Let q(n) = -5*n + 1102. What is -10*q(t) - 3*u(t)?\nAnswer: 2*t - 1108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 62. Suppose o*g - 5*z + 8355 = 8*g, 0 = -5*g + 5*z + 8395. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1495 - 1387. Calculate the highest common factor of 270 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1650306 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 131*i - 500. What is m(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 2 + sqrt(5))**2*-6*4.\nAnswer: -576 - 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -11*s + 1. Let x be n(3). Is ((-904)\/x)\/((-1)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46475202 and 2864?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 - 8*y + 2. Let o = 7390 + -7390. Calculate x(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13, 1, -290 in decreasing order.\nAnswer: 1, -3, -13, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 3*g + 2. Let u(w) = 12*w**2 + 13*w - 9. Let n = 32 + -42. Let t = 8 + n. Give t*u(y) - 9*f(y).\nAnswer: 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1178601 to the nearest 1000.\nAnswer: 1179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/5)*d*d)\/((d*(d*d**2*d)\/d*d)\/d))**8*(d\/d**(-4)*d**4)\/(d**2*d*d**(-6)) assuming d is positive.\nAnswer: d**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-1\/9)*i**(3\/2)\/i*(i*i**5\/i*i)\/(i\/(i**3\/i)*i) assuming i is positive.\nAnswer: i**(151\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*m + 16, 2 + 16 = m + 4*a. Suppose -y - m*y + 3 = 0. Is (y - 153)*(-9)\/18 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 2*h - 3 - 37 + h - 4*h + h + (0 + 4 + 2)*(11 - 11 - 2*h).\nAnswer: -16*h - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19323 and 33?\nAnswer: 212553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11*r\/(r\/(r\/(r**(-1)\/r))))\/(r**(-3)\/r*r**(-6\/11)*r) assuming r is positive.\nAnswer: r**(193\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418735?\nAnswer: 5, 17, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)\/(l\/((((l*l**(-5)\/l)\/l)\/l)\/l*l*l*l)))\/(l**(-1))**(-3\/31) assuming l is positive.\nAnswer: l**(-1199\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1958672095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + (sqrt(12)\/(-4*sqrt(6)*-1) + -1)*-2)*-2.\nAnswer: -14 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 2*x - 5. Let g be 3\/18 + 2\/(12\/107). Suppose -g = h - 21. What is the remainder when u(h) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -218.24904 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609640000 rounded to the nearest 1000000?\nAnswer: 1610000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**(-45)\/(r*r**(-2\/21)*r\/(r**(1\/2)\/r)*r) assuming r is positive.\nAnswer: r**(3637\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3.56, 4\/315, 0.4?\nAnswer: -3.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 20*g - 2. Let q(u) = -41*u + 5. Let o(d) = -5*a(d) - 3*q(d). Suppose 6*k = k + 15. Is o(k) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41957184221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52867641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 56*b - 160*b + 50*b - 27 = -59*b, -2*f + 4*b = 28 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-117)\/(2*(-3)\/6). Let b = -6 - -19. Calculate the highest common divisor of b and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**3\/6 - 5*d**2\/2 - 4*d. Let y be l(8). Solve -y*u - 3 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62107686.\nAnswer: 2, 3, 3450427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3896850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 69 (b) 9\/5 (c) -0.1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (90\/(-165)*11 - -26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/412, 6216, 5, 0.4 in increasing order.\nAnswer: 3\/412, 0.4, 1, 5, 6216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2883 by -2.\nAnswer: -2883\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.2 + 5. Let c = 55 + -59. Let k be (-2)\/(7 + -4 - 11). What is the nearest to k in c, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 11. Suppose 20*z = 28*z + 16. Sort z, l, 3 in ascending order.\nAnswer: z, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 13?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7023, -4, 7, 1, -11, 0 in increasing order.\nAnswer: -11, -4, 0, 1, 5, 7, 7023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 + 205. Let w = t - 129.8. Which is the nearest to 0? (a) 6 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.48 - -19.98. Let o = -4 - 10. Let t = o - -14.1. Which is the biggest value? (a) t (b) 0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 18*c**2 - 4*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -2 + 7 + -3. Let q(y) be the first derivative of 0*y**2 + 0*y + a + 0*y**4 + 1\/5*y**5 - 1\/3*y**3. What is the third derivative of q(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 43297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 2*r**7\/21 - 8*r**6\/5 + 9*r**5 - 50*r**4\/3 - 3*r + 99. Factor g(y).\nAnswer: 4*y**2*(y - 5)**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/791404 and -51\/11812.\nAnswer: 791404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926*x**3 + 315*x**3 - 710*x**3 + 1073*x**3.\nAnswer: 1604*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 51. Let u(q) = q**3 + 3*q**2 - 2*q - 2. Let s be u(d). Solve -8 = -2*r - s*x + 2, -4*x - 5 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 253*r**7\/21 + r**3\/2 + 73*r**2\/2 + 2*r + 114. What is the second derivative of l(x) wrt x?\nAnswer: 10120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 4)\/(-4 - (-246)\/60). Suppose -5*p + 2*g = -10*p + y, -p - 23 = -5*g. Solve -2*c = p*c + 2*o, 4*c - 2*o = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91476, -91436, -91374, -91290, -91184?\n\"Answer: 11*f**2 + 7*f - 91494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*x + 70*x - 315 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 6*c + 2. Let b be q(6). Suppose -v + 1 - b = 0. Let l = v + 35. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 3. Suppose 4*u + 3*t = 8*u - 44, -4*t = 16. Let h be 4 + 3 - u - (-3)\/(-1). Let p(f) = 3*f - 2. What is h*b(z) + 5*p(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 + 2*r - 2. Let p be j(3). Let u be 2\/7 + 4\/p. Suppose u = -4*n - n. Solve 0 = y - 5*o - 7 - 8, -4*y - o - 3 = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2049766, 2049762, 2049760, 2049760?\nAnswer: 2049762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 3. Suppose -3*l = 3 + 6. Let w = -1.9 + 2. What is the closest to t in l, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.05 (c) -4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126534 divided by -63267?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3972619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4277549 to the nearest integer?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 24 + 53*o + 45*o**2 - 23 - 46*o**2 in the form x*o**2 + q*o + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 23\/12 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213526 divided by 4.\nAnswer: 106763\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34823 (base 13) to base 5\nAnswer: 11031402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/140748 and 137\/138.\nAnswer: 3237204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 641\/4 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 7, r: 2, s: 2, z: 7}. What is prob of sequence xx?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 0.2 (c) -4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*k**2 - 52*k + 85 wrt k.\nAnswer: -4*k - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2299 or -17.8?\nAnswer: -2299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 24*y**2 - 28*y + 0 + 20*y - 70*y**2 + 8*y.\nAnswer: -46*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/3 - n**2\/2 + 26*n - 5. What are the prime factors of r(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 77728680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/6*4\/12*9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -27*s. Let l(k) = -4*k**2 + 101. What is l(g(t))?\nAnswer: -2916*t**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Suppose -216006 = w*u + u + 3*j, -269998 = 5*u - j. What is u rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/733260 and 67\/20?\nAnswer: 733260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -395 - -221. Let h = j - -181. Solve 12 = 5*q + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -27. Is u greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3502591 - -20.\nAnswer: -3502571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1, 6.3, -2\/585, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 4 = 25*s. Let w be -3 + 7 - 3 - 3\/s. Find o, given that -w*o**2 - 81\/4 - 9\/2*o = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**4\/12 - z**3\/3 + 2*z**2 + 4*z. What is the units digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 17 + 18. Let v = 188 - 193. Let w = b - v. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-18))\/((-2)\/176))\/(810\/1215)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - 93. Let n = -50 - p. Let m(h) = -n*h**2 + 101*h**2 - 2*h - 8 - 48*h**2. What is m(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116057?\nAnswer: 43, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - y**3 + 8 - 3*y + 5*y**2 + 0*y. Is d(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 - (1 - (-4 + -1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 1.677, 15, -4, -0.2, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1015159 = -1015156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4195 smaller than -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 121*c**2 + 10*c. Suppose -s = 4*y - 10, 3*y - 41 - 14 = 4*s. Let r be h(s). Suppose -q = -3*q - r. Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687075572 to the power of 1\/3, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 465. Suppose -2*d - d = -r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 1, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -195929.1 rounded to the nearest one hundred?\nAnswer: -195900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2008774 and -91\/8.\nAnswer: 8035096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 20169, 5, 0 in ascending order.\nAnswer: -12, 0, 3, 5, 20169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 - 98. Let f = 57 - z. What is the third smallest value in 0.042, 1\/10, f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -1837 + 1837. Let d(c) = 3*c - 4. Let q be d(3). Suppose q*y = -5*l - 70, 2*l = 1 + 1. Which is bigger: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.31 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + y + 192 = 1706, 1884 = 5*j - 3*y. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129226 is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*m**2*s - 3340*m**2 - 30*s wrt s.\nAnswer: 48*m**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-6)*71 - 21\/(-126). Solve -2*x + c = -14*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -10. What are the prime factors of 11\/2 + (-3)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 22, 42, 68, 100?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**4 + 53*q**3 - 121*q**2 + 3 wrt q.\nAnswer: -120*q + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*33\/484)\/(9\/24)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 29\/9 + 48\/27. What is the second biggest value in g, -0.07, 4, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let i(p) be the first derivative of -p**4\/12 + 3*p**2\/2 - 3. Let k(g) be the second derivative of i(g). Determine c(k(d)).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-28) - (-2)\/56. Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37004788, -148019153, -333043096, -592076617, -925119716, -1332172393, -1813234648?\nAnswer: -2368306481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l - 1. Let c(f) = 6*f + 15*f - 22*f. Let n(i) = -b(i) - 6*c(i). What is n(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m**3 + 112*m**2 - 1044*m - 360 = 0 for m.\nAnswer: -15, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8756678?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 17d7?\nAnswer: -17dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*f - 6. Suppose -24*m = -20*m + 4. Let i(b) = 2*b. Let c(p) = p. Determine f*c(r) + m*i(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 33\/2*d**2 + 43\/2*d**3 - 15*d**4 + 0 = 0 for d.\nAnswer: -1\/2, -1\/15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s - 40. Suppose 0 + s = 3*w. Calculate the remainder when 6 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p + 2. Let i(v) = -2*v**2 - 8*v + 55. Let g(c) = -i(c) + w(c). List the prime factors of g(-12).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10966, -10966, -10954, -10924, -10870, -10786, -10666?\nAnswer: -10504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + 9. What is the units digit of (3 - 1) + b\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303208955.\nAnswer: 5, 460641791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 - 1978\/9. Let z be (-4)\/64 + 310\/(-160). Is z > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 10:13 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 4*q - b, 743282*b = 4*q + 743285*b - 20 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 267?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31371563, 62743129, 94114695, 125486261, 156857827?\nAnswer: 188229393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1. Let h(p) = -3*p - 13. Let j(s) = -h(s) + 3*o(s). Determine j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -723*f**4 + 10120*f**3 - 18047*f**2 + 8626*f + 24 = 0. Calculate f.\nAnswer: -2\/723, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-1)\/12*(89 - 112).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + 3 + (sqrt(405) + -3 + sqrt(405))*-4 + 1).\nAnswer: -432*sqrt(5) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - i. Let m be q(-2). Let p be 4*1*m\/(-8). Suppose 5*d - 17 = p. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 38 - 8. Let c be (-40146)\/18 + ((-4)\/m - -1). What is c rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16422 and 262752.\nAnswer: 262752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2853 - 2853 - 1048*b + (-1 + 2 - 4)*(-5*b + 3*b + b) to the form z + t*b and give t.\nAnswer: -1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Suppose 5*s = -r*x + 31, 9 + 12 = -2*x + 5*s. Let m be x - -1*(1 + -2). Is 4\/5 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 120*j**3 - 864*j**2 - 2376*j - 2268.\nAnswer: -4*(j + 3)**3*(j + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -3. Suppose -m*l + 18 = -2. Let d(v) = -8*v - 3. Let x be d(-2). Solve 0 = -t - 3*p, -x = l*t + p + p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21219770, -21219768, -21219764, -21219758, -21219750, -21219740, -21219728?\nAnswer: -21219714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 105*d = 278*d + 69*d - 1694 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) -2\/3 (c) 15\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*1*3\/6. Suppose -5*g - 72 + 1332 = n*m, 5*m + 716 = 3*g. Suppose 175 + g = u - 3*s, 4*u + s = 1649. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000139272 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13561 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 2:12 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24240 - 5437. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2. Suppose 2*g = 3 + 5. Let r(m) = g*m - 4*m + 5*m - 4*m. Give o(r(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*2\/(-5)*30\/(-546)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185487, 185665, 185843, 186021?\nAnswer: 186199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmd when three letters picked without replacement from nemdedmeddud?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/7*(90\/1125)\/(4\/(-35))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9871526 divided by -7?\nAnswer: -1410218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(80) + -3 + sqrt(80))**2*5 - (((3*sqrt(125) - sqrt(125))*-4)**2 + ((1*sqrt(125)*6)**2 - sqrt(125))).\nAnswer: -10857 - 235*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553819806.\nAnswer: 2, 3, 23, 1337729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13700 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 936813739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 11489*v - 22941. Determine t(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4 + 4 - (0 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2)\/(78\/(-108))*(-1534)\/(-3304).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33480, 66971, 100464, 133959, 167456?\n\"Answer: g**2 + 33488*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 49 (b) 3 (c) -1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/5 + (-1139)\/67?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -209?\nAnswer: 20.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h + 5. Let r(s) = 4*s + 5. Let a(v) = -4*p(v) + 5*r(v). Suppose u - 8 = -2. Suppose -21 = 2*t + t. Let f(j) = 9*j + 6. Determine t*a(y) + u*f(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 1 - 1)*(-22*w + 374 - 187 - 188).\nAnswer: -66*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111011100111 (base 2) to base 7\nAnswer: -14060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 4:20 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 133 (c) -59 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizhzzzigzhizbigzghz. What is prob of sequence bg?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**2. Let p = -5 - -8. Let o = 5 - p. Let c(u) = -u**2 - 1 + 2*u**o + 1. What is c(r(f))?\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.354 - 0.046. Let z = v - 0.6. Which is the closest to 0.1? (a) z (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5625 + -2?\nAnswer: 5623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 90 - 82. Let h(o) = -o**2 + 6*o - 5. Let d be h(m). Let l = 21 + d. Is 1\/4 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 27 = -2*h, -5*i + 31 = -25*h + 26*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4160*l + 58222. Give g(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.693 - 2.693. Which is bigger: v or -21\/20?\nAnswer: -21\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351 by 7.\nAnswer: -351\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -5) + -2 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 2*s**2 + 1. Let k be y(3). Suppose -4*o + j - 7 = 0, -5*j - k + 9 = 4*o. Is 13 a factor of (o - 6\/(-3))*-13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52533335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -30327?\nAnswer: -6065.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1091662 by -41987.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001011111100 (base 2) to base 6.\nAnswer: -242204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016834 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1. Let r(t) be the second derivative of -t**3\/3 + t**2\/2 - 72*t - 4. Give 4*g(o) + r(o).\nAnswer: -2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = g. Suppose -s - 4*s - 15 = 0, -u = -2*s - 11. Suppose -z = -u*z. Sort g, 3, z in ascending order.\nAnswer: g, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 601.2 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*z + 8408 + 1300 + 3837 = 0 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 8*i = -20. Let s(a) = -2*a - 4. What is s(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q - 9. Give d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1205 (base 11) to base 9\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 38 + 71)*(0*a + 3*a - a) - a + a - 2*a + 1.\nAnswer: -116*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 22*w**2 - 1255*w + 1750. Determine j(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2042209 and 1885?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33593 is divided by 11197.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4896 and 768?\nAnswer: 39168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37674184*k**3 + 27110016*k**2.\nAnswer: -226045104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1315, -1289, -1275, -1279, -1307, -1365?\n\"Answer: -x**3 + 33*x - 1347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1419 - 53 = 0. Let l = -372 - a. What are the prime factors of l?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**4 + 25*z**3 + 39*z**2 + 27*z + 7.\nAnswer: (z + 1)**3*(6*z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01089 + -2546205.15?\nAnswer: -2546205.16089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -9*z**4\/4 - z**3\/3 - z**2\/2 - z - 1. Let x(o) = -51 + 13 - 25 - 40 - 6*o. Let h be x(-17). Determine u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 16*y - 17*y)*(2045 - 1021 - 519*y - 1022).\nAnswer: 12975*y**2 - 50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(2*sqrt(10)) + sqrt(19) - sqrt(76)\/sqrt(4)*-5) + 3.\nAnswer: 3 + 13*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 9*y**2 + 7*y + 10. Let q be r(8). Let w be 34 - (0 + (-4 - -2)). Suppose -q*m - 4 = -w. Solve 0*l - 4*l = -m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1) + -1 + 13. Let a(k) = k**2 - 2*k - 2. Let q be a(-4). What is p in f*p**2 - 6*p**5 - 2 - p + 0*p + 3*p - 28*p**3 + q*p**4 = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 7. Which is the second biggest value? (a) -1\/2 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3 + 26*a**2 - 46*a + 22 = 0. Calculate a.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 24 - 4 - 4*n - 26*n**4 - 14 + 2*n**2 in the form z + d*n**2 + j*n**4 + o*n**3 + w*n and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -2, 0, 5, 4824 in decreasing order.\nAnswer: 4824, 5, 0, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90912.83l to millilitres.\nAnswer: 90912830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 + 2 = 0. Let k be ((-9)\/2)\/(2\/(-12)). Let n = k + -9. Calculate the remainder when n is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 40, 199, 596, 1351, 2584, 4415?\n\"Answer: 20*j**3 - j**2 + 22*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4))\/(w**(-7)*w))\/(((w*w\/w**(-1\/2)*w*w)\/w)\/w**(2\/3)) assuming w is positive.\nAnswer: w**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d. Suppose d*o = 3*o + 9. Is 7 a factor of o\/(-1 + 4)*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/162 - (-50)\/(-18). Let j(r) = 2*r + 6. Let p be j(o). Solve v = -p*v + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.01, -1, 0.2, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddi when three letters picked without replacement from {d: 4, i: 4, y: 7}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4 (c) -1\/13 (d) 0.06 (e) 0.3 (f) -0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-9 - -17) - (-14)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -8. What is the units digit of (7\/(-3))\/((-4)\/z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 18\/7 + 12\/7*f + 2\/7*f**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11225, 22452, 33679, 44906, 56133, 67360?\nAnswer: 78587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 17. Let i be (1\/4)\/(9\/72). Let q(z) = z**i - 4*z**2 + 5*z**2. Determine n(q(x)).\nAnswer: -4*x**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121534, -244096, -367682, -492292, -617926, -744584, -872266?\nAnswer: -1000972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.05 and 0.061.\nAnswer: -0.12505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 + 5*v - 10. Let a be x(7). Let i = a - 31. Let p be 4 + (-4 - (i + 4)). Solve 0 = b - p*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 125*q + 2744. Let h be c(-19). Let w be (-2)\/1 + (1 - -3). Solve w - h = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 s when three letters picked without replacement from {e: 1, h: 3, n: 1, s: 2, k: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 8*u + 9. Let x be q(-7). Suppose 0 = r + x*r - 6. Let t be 2\/(-6)*9\/(-1). Calculate the greatest common divisor of t and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, 2*y + 6 = 4*y - 5*r. Factor -3*m + 3*m**3 - y + 0*m**3 + 4*m**2 + m**2 - 2*m**2.\nAnswer: 3*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 17382 - 5352 - 14*r + 17602.\nAnswer: -14*r + 29518","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 827, 3457, 7849, 14003?\nAnswer: 21919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15143 + 18118. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-24)\/(-10)*(12 - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100101120 + -10210?\nAnswer: 1100020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5537.4 rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 99456.5 rounded to the nearest 100?\nAnswer: 99500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -2\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 16. Let l = 6 + -4. Suppose -4*g + 2 + 10 = 0. Solve -g = 2*j - 3*d, -2*d = -h - l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 15*a**2 - 5*a - 4. Is w(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 683\/2019?\nAnswer: 683\/2019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 1, e: 4, w: 1, n: 5}. What is prob of picking 1 e, 1 w, and 1 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 0*q + 4*q - 4, 3*c = q + 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299242 and 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - ((-1)\/(-3))\/(2\/18). Suppose -4*x + 52 = 3*z + c*z, 0 = -z + 4. Suppose 9*i = -0*i + 837. Calculate the remainder when i is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 4*w + 4. Let c(p) = -5*p**2 + 7*p - 7. Let t(s) = 4*c(s) + 7*u(s). Let f(r) = -3 + 6 - 52*r - 34*r - 327*r - 3. Calculate f(t(o)).\nAnswer: -413*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/2)\/((-3)\/690) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/15? (a) -194 (b) 4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3075\/1230*4\/50.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.2 + -40.2. Put r, 2, 3, 0 in descending order.\nAnswer: 3, 2, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f**2. Let l(u) = -u**3 + 8*u**2 + 3*u + 2. Let n(m) = 2*a(m) - l(m). Let g = 12 - 15. Let k be n(g). Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzjq when four letters picked without replacement from {v: 4, j: 7, z: 2, q: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 13*g = 16. Let k be 1*-3*4\/(-114). What is the nearest to 1\/2 in k, g, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/7)*n**10)\/((n**(2\/23)*n)\/n)**(27\/5))**21 assuming n is positive.\nAnswer: n**(21981\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*q - 15, 6*g - 11 = 2*g - 5*q. Let p be 0 - (-32)\/6 - g. Factor -p - 2\/3*l + 2\/3*l**2.\nAnswer: 2*(l - 2)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087253256?\nAnswer: 2, 3, 47, 963877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*b + 54230 = 167*b + 5*q, 4*b = 2*q + 43408. List the prime factors of b.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1. Let q(o) = 4*o + 12. Let u(x) = -a(x) - q(x). List the prime factors of u(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17942003\/10 at least as big as -1794201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 10 (c) -0.1 (d) 0 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 4*t + 5*t)*(602 - 154 - 29 + 1482).\nAnswer: -1901*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + (-1 - (-11 - -7) - (3 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397 smaller than 4397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -3, -48, -8, -284, 3 in decreasing order.\nAnswer: 3, 1\/3, -3, -8, -48, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 33. Let i be (-6)\/9 + (-20)\/6. Suppose 4*h + 6 = 5*y, -12 = -5*y - h - h. Sort q, y, i in descending order.\nAnswer: y, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1817, 3580, 5349, 7124, 8905, 10692?\nAnswer: 12485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*b - 385*b = -2340. Suppose 20*x - b = -6*x. Solve 5*l = 4*f + x, f = -3*l - 0*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 0, 0*a + 5*a - n = 25. Let q = 3 - 1. Suppose d - 49 = -4*d + l, a*l + q = -2*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 1 - (-3 + -20). Calculate the highest common factor of l and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9210203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {g: 7, l: 2, x: 8, s: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*u + 4 = -3, 5*u + 36 = 2*f. Suppose -f*c - 90 = -19*c. Solve -13*j - c = -10*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/9*(-3)\/(-2). Suppose v - r = 2*x + 1, -2*x + 20 = 5*v. Suppose -3*l + 0*l + 12 = x, 0 = -4*u + 5*l - 40. Put u, 0, -4 in descending order.\nAnswer: 0, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1\/53*1). Let j = o - 369\/7. What is the smallest value in -4, j, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = -3*c + 19, -4*v - 7 = -3*c. Solve 0 = c*a - 3 - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*l**3 - 7*l**2 - 7 + 6 + l**3 to j*l + u*l**3 + g + v*l**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1997752 or 1997706?\nAnswer: 1997706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -q - 4*j, 2*j = -75*q + 72*q + 28 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*449575.\nAnswer: 44957.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 5 (b) -0.5 (c) 1\/7 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 47*d. Let c(s) = -638*s**2. Calculate i(c(u)).\nAnswer: -29986*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1038, -2076, -3124, -4188, -5274?\nAnswer: -6388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 7*x + 96. Let k(g) = -14*g - 2. Let v be k(-3). Suppose -x*r + v = -3*r. Solve -5*o - r = -2*c, 8 = c + c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 15 + (-33 - -28) + 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4617*r*v**2 - 18*r - 32*v**3 + v**2 + 12*v + 10390391 wrt v?\nAnswer: 9234*r*v - 96*v**2 + 2*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 36*d + 1. Let y be k(-1). Let u(v) = 3*v**2 - 4*v - 10. Let t be u(-3). Let w = t + y. Let b(n) = n + 4. Determine b(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m + 12299 + 0*m - 12308 + (-5 + 2 + 2)*(-6*m + 21*m + m).\nAnswer: -25*m - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 159674742 + -21.51\nAnswer: 159674720.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 + 1\/(-3). Let u be q - (-188 + 4)\/2. Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 80 - 67) + 2 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -2, -0.0808, 7, 78?\nAnswer: -0.0808","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 29. Suppose -4*k = -4*m - a, -m = k - 4 + 8. What are the prime factors of (k\/(-2)*-2 - -3)*62?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26443*o = 26409*o - 170. What is the third smallest value in o, -37, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -9\/4, 6?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 10 + 8. Let y = 55 - 39. Calculate the remainder when y is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - 4*y**2 + 0*y**2 - 3*y - y**2 + 3*y + (-2 - 2*y + 2)*(-y + 5*y - 2*y) - 7*y**2 + 3*y**2 + 2*y**2 + (-3 - 2 + 3)*(-2*y**2 + 2*y**2 - 2*y**2).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-29)*d)\/((d\/(d*d**(-14)))\/d)*(d**(1\/2))**35)**(-4\/9) assuming d is positive.\nAnswer: d**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + s**3 + 2*s**4 - 23*s - 3*s**4 + s**4 - 263 + 272 + s**4 to the form m*s**4 + r + w*s**3 + t*s**2 + c*s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 45819680 to the nearest 10000.\nAnswer: 45820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 3. Let q be w(3). Suppose -2*j + 80 = 3*d, -3*d + 7*j + 92 = q*j. Let l = -15 + d. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6\/77, -0.09.\nAnswer: -0.09, -6\/77, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*m - 3*d - 112 = -822*m, -d - 41 = 5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33580121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-147))\/((-31)\/434). Let f = 4.98 + 0.02. What is the smallest value in z, f, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16614368 a multiple of 2512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 178745918 to the power of 1\/3, to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 143? (a) -0.2 (b) 0.4 (c) 20\/167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m**2 - 576*m + 335*m - 1 + 234*m as p + y*m + i*m**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**4\/24 + 11*p**3\/6 + 164*p**2. Give w(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 3*w + 31. Suppose -c - 4*r = -4*c + 43, w = 4*c - r. List the prime factors of ((-9)\/(-4))\/(c\/24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 36) + (6 - (-164)\/(-10))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 63, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 3. Let y be z(-1). Suppose -2*v + 0*v = p - 31, 3*v - y*p - 30 = 0. Suppose -6*k = -v*k + 1976. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/4))**(2\/65)*(r**1)**(3\/7)*r*r\/(r\/(r\/r**(-3\/7)))*r*r*r*r**(-4\/5)*r*r**(-3)*(r**(-5)\/r)\/r assuming r is positive.\nAnswer: r**(-3553\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 3. Let b(u) be the first derivative of -2*u**2 - 4*u + 1. Determine -2*b(h) - 3*m(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 15*t**2 + 9*t + 27. Determine v(9).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 74054475 + -0.2\nAnswer: 74054474.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523*l**2 - l - 525*l**2 + l - 7 to the form q*l**2 + p*l + k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 1. Let h be y(13). What is the highest common factor of 27 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 141?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*k + (86 + 41 + 67)*(3 + 5*k - 3) + 3*k + 3*k - 4*k - k - 4 + 4 + (0*k + k - 3*k)*(2 + 1 - 2).\nAnswer: 967*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(88)*4*-4)\/((-2*sqrt(16))\/sqrt(2)) + 1).\nAnswer: -32*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 24*p**3 + 9*p**3 + 110*p**2 - p**3 - 3 + 8*p**3 - 1.\nAnswer: -8*p**3 + 110*p**2 - p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(0*k - 2*k + 0*k)*(-1 + 7 + 3).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34, 1, -1\/2, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211323 (base 4) to base 6.\nAnswer: 15123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -458\/2415 - 5\/483. Which is the second biggest value? (a) f (b) -4 (c) -0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478*b - 32768000 = 486*b. Round b to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e45a (base 15) in base 3?\nAnswer: -21121001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.1888349 rounded to two decimal places?\nAnswer: -39.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**5\/12 + 5*w**4\/8 + 5*w**3\/3 - 8*w**2. Factor i(o).\nAnswer: 5*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) 0.12 (c) -55 (d) -3 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 143740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89483131 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 - -23 - (92 + -119)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606868220?\nAnswer: 2, 5, 7, 277, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771*m - 771*m + 4*m**3 - 6*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 - 33. Let v = k - -110. Solve 3*m = v - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -16. What is the nearest to -5 in -5, p, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -70 + -2433 + 2496?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 672.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 194 = -6*y - 6*v, 3*v + 108 = 3*y. Solve 26*x - y*x - 60 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4278*a**2 + 2134*a**2 - 28*a + 13*a + 14*a + 2141*a**2.\nAnswer: -3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose 0*w = 4*w - 8. Let z = l - w. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2088460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2313*i**2 + 2031*i**2 - 4695*i**2. Let c(x) = 6*x**2. Determine c(t(q)).\nAnswer: 739206*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -205593 or -205606?\nAnswer: -205593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*k + 31*k. Solve 1 = -k*s + 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3997404.583 rounded to the nearest ten?\nAnswer: 3997400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 5*h - 2. Let i(z) = 2*z**2 + 6*z - 3. What is 2*i(q) - 3*r(q)?\nAnswer: -2*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1321*h**3 + 18499*h**2 + 68*h - 27. Calculate g(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6525 rounded to two decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -20 - (-15)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 0.09, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 719, 1243, 1877, 2627, 3499, 4499?\nAnswer: 5633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0035? (a) -1 (b) 1\/9 (c) -4\/3 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x. Let p(u) = -15733*u + 1. Determine p(k(t)).\nAnswer: 62932*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2389 + 2359 - ((-73 - -2) + -2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21062 - 10201. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*j - 3*j = 17, -5*j - 8228 = -4*y - 8196 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {n: 1, q: 1, z: 14}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*t - 99 = -526*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 5*a**4\/12 - a**3 + a**2\/2 + 106*a. What is the hundreds digit of p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928484636 + -0.9?\nAnswer: -928484636.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 728*t**3 - 23*t + 25*t - 46 - 2*t**2 + 4*t**2 - 726*t**3 to r*t**3 + w*t**2 + d + a*t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 7*u**4\/12 + 13*u**3\/6 + 5*u**2. Suppose -2*x + 3*r + 2*r + 1 = 0, 4*r + 4 = 2*x. Does 35 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.24 and -0.04525?\nAnswer: 0.01086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (-7 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 18*j + 143. What is the remainder when d(8) is divided by 58?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f*j**2*q**2 + f*j*q**2 - 36*f*q**2 - 2*f*q - 15*j**2 - 2*q**2 wrt j?\nAnswer: 4*f*j*q**2 + f*q**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 23 = -3*p, 3*p - 6*p - 11 = 2*j. Suppose 2*n - 202 = -j*m + 5*m, 4 = m. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 273 and 1\/45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539 and 10746043?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrrmmmfrrmrmm. Give prob of sequence mf.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.117 + -3.3. Let t = p - -0.183. Which is the smallest value? (a) 5 (b) 0.09 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 2*a**2 - 4*a**2)*(-2 + 2 + a) + a**2 - a**2 - a**3 - 2 + 4*a**3 + 0*a**3 - 2*a**3 - 5*a**3 + 6*a**3 - 3*a**3 + (-a + 2 - 2)*(-a - a**2 + a).\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obobooxoooooox. Give prob of picking 2 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/11*p**2 - 252\/11*p = 0. Calculate p.\nAnswer: 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1537.90177 - 1595.902. Let d = j + 58. What is d rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.061 (b) -1\/8 (c) -11 (d) -0.5 (e) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5398.693560349 and 0.08.\nAnswer: 5398.773560349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -116, -109, -100, -89, -76, -61, -44?\n\"Answer: u**2 + 4*u - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106340 by 8180.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 3:58 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3974*b + 6762*b + 3051*b as c*b + w and give c.\nAnswer: 5839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 6*p - 72 = 0. What is the least common multiple of 10 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/72)\/((5\/(-20))\/(2\/6))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 13*w - 3*w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/40*-5*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261933 is divided by 4852.\nAnswer: 4777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 - 21*q + 12. Let y(a) = -a**3 - a**2 - 113*a + 228. Let k be y(2). Give u(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**3 - 162024*c**2 - 810345*c.\nAnswer: 3*c*(c + 5)*(3*c - 54023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -79*r**2 - 18*r + 13. Let w(a) = 154*a**2 + 39*a - 27. Calculate 13*v(s) + 6*w(s).\nAnswer: -103*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22587, -22577, -22563, -22545, -22523, -22497?\n\"Answer: 2*v**2 + 4*v - 22593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2) + (-2)\/(-4). Let z be 1\/j*(-1 + -2). Suppose -4*t + 117 = -z*a - 28, 0 = 5*t + 5*a - 155. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, f: 1, h: 2, w: 2, t: 1, l: 1}. What is prob of sequence ytf?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/((-34)\/18))\/((-423)\/2820)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3263791 to 3 dps.\nAnswer: 0.326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73.4 - -76. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 0*d + (-d - 3*d + 5*d)*(6 - 2 - 2) - 90*d - 50*d + 64*d)*(-2*d**2 + 5*d**2 - d**2).\nAnswer: -150*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(28) + 0.\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:01 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -242759*t + 485534. What is j(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1207482 + 1207482 - 8*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n - 35 = -38*n, 0 = 4*v + n - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (31 - (32 + -21)) - -18.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 0. Let j be 6\/((-1)\/((-30)\/(-58)) - -2). Suppose p + m*p - j = 0. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of 1\/24*j**4 + 1\/6*j**3 - 4*j**2 + 0*j + 0 - 1\/120*j**5. Let n(g) be the first derivative of o(g). What is n(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 113.4131 millennia?\nAnswer: 1360957.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:02 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.4517*0.0438\nAnswer: 0.06358446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1761*l**2 + l + 882*l**2 - l + 880*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*188\/3619*-11\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.6 + 13.913. What is j rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdud. What is prob of picking 1 t, 1 d, and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1054*f + 5332. Let y be s(-5). Solve 0 = y*p + 12 + 50 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + h**2)*(-4*h + 2*h + h)*(2037516 - 2037516 - 1689*h) to d*h**4 + g*h**3 + j + n*h + y*h**2 and give d.\nAnswer: 1689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329.773 tonnes to grams.\nAnswer: 329773000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 + -60. What is the closest to -1 in d, 4\/7, 1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o**3 + 2*o**2 - o - 4. Let c(g) = g**3 + 8*g**2 + 8*g + 4. Let m be c(-7). Let w be f(m). Let h = 492 - w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174082, -346954, -519824, -692692, -865558, -1038422, -1211284?\nAnswer: -1384144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 2\/13 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40167 is divided by 13388.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6 - 39. Suppose g - 5*a - 20 = -4*g, -3*g - 4*a = -5. Calculate the remainder when f is divided by 46\/8 + g\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:50 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 - 2264*w**4 + 42300*w**3 + 147168*w**2 = 0. Calculate w.\nAnswer: -584, -3, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -1100101110100010010?\nAnswer: -1100101110100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Let k(q) = -18*q**2 - 29*q + 64. Determine k(c(l)).\nAnswer: -18*l**2 + 137*l - 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 - 5. Let n = -2.9 - w. Let v = 2.3 + n. What is v rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.7 - -0.3. Let l = 18 - h. Let p = l - 9. Which is the closest to p? (a) -0.3 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6 and 25\/1224.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 = -2, -5*j + 55 = -5*r. Calculate the remainder when j is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -16 - 12. Suppose -2*d = 2*g - 4*d - 114, 5*g - 283 = 4*d. Calculate the remainder when g is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-20)\/(-2) + (4 - 3) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -2) + 8 + -8 + -12.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 less than 42?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99314, 99223, 99072, 98861, 98590?\nAnswer: 98259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1901, 3809, 5719, 7631?\nAnswer: 9545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94720.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -9*x**2 + 0 + 1\/6*x**4 - x**3 + 0*x. Determine w(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*h, -165*s - 12 = -176*s - 2*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l = 3*z - 141, 4*z - 185 = 5*l. Calculate the greatest common divisor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzrzzggzgzzrz. Give prob of sequence zz.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-1\/7)*b)**(-4\/15))**28)**35 assuming b is positive.\nAnswer: b**(-2240\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 take away -0.062926574?\nAnswer: -439.937073426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1815874 and 6806.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*n + 3*c, -4*n - 5*c - 3 - 6 = 0. Suppose y - 6*y - 75500012 = n*o, -3*y + 4*o - 45299988 = 0. Round y to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by -12.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1017552 and -113\/239424?\nAnswer: 4070208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 14240*s**3 - 16893384*s**2 - 6672877184*s + 6689784812.\nAnswer: -4*(s - 1)*(s + 1187)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -611751413*p**5 + 211527196*p wrt p?\nAnswer: -12235028260*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 10. Let q(s) = -s - 11. Calculate the remainder when a(8) is divided by q(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*2*1 - sqrt(891) - 2*sqrt(891)*-1) + (sqrt(891) + -1*sqrt(891) + 4 - (sqrt(891) + -1*sqrt(891) + -4 + sqrt(891))))**2*-1.\nAnswer: -3628 - 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 7 - -3*(8 - 7). Let x(g) = g**3 - 7*g**2 + 13*g - 5. Give x(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukff when four letters picked without replacement from {f: 2, k: 1, u: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c**2 - 35*c + 306. Calculate the smallest common multiple of 1716 and t(8).\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9*(-2)\/4*4\/(-2). Let p = y - 8. Calculate the remainder when 3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 41 + 2934\/(-72) - 16894\/(-8).\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**2 + 8 - 2 - 37*p**2 - 11*p. Suppose -3*o + 0*o = -72. Suppose -n = -5*n + o. Let w(s) = -4*s**2 - 2*s + 1. Calculate n*j(r) - 34*w(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 720\/110 + (-16)\/(-264)*-9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853516 to the power of 1\/2, to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 59. What is the nearest to 2 in -0.4, -5\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 999677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 214805+-20.320002\nAnswer: 214784.679998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7001, -13976, -20955, -27944, -34949, -41976, -49031, -56120?\n\"Answer: -q**3 + 4*q**2 - 6980*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -363*m**3 + 869*m**2 + 141*m - 210. Let f(i) = -35*i**3 + 87*i**2 + 14*i - 21. Let c(g) = -21*f(g) + 2*q(g). Give c(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12266*i + 86875 = 29641*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1259\/5 + 252. Which is the second smallest value? (a) x (b) 5\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -57*c**5 + 7*c + 73. Let b(l) = 57*l**5 - 8*l - 73. Let p(s) = -5*b(s) - 6*q(s). Find the second derivative of p(i) wrt i.\nAnswer: 1140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 529\/4 + -133. Which is the third biggest value? (a) n (b) 1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*c - 2 + 41, 2*x - 10 = -2*c. Let h(w) = -3*w**2 - 23*w + 9. Let z(f) = 2*f**2 + 12*f - 4. Let i(k) = 3*h(k) + 5*z(k). Determine i(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**2 - 2. Let l(d) = -d**2 - 1. Let u(x) = 13*x - 80. Let f be u(6). Calculate f*g(k) + 4*l(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324*n = 1334*n + 270 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**4 - 2*d**3*m**3 + 71536*d - 19*m**3 + 1828 with respect to d.\nAnswer: -4*d**3 - 6*d**2*m**3 + 71536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 6)*(3 - 3 - 12*a) - 68*a - 4 + 2 + 62*a.\nAnswer: -42*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -489.8?\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11523 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnznooaapnnmmmzonnam. Give prob of sequence zp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 75\/2 of a milligram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*j**3 - 8 + 8 - 539*j**3 + 144*j**3.\nAnswer: 66*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 3)*(-a + a + a)*((2*a - 5*a + 0*a)*(-4*a + 4*a - 3*a**2) - 2*a**3 - 3*a**2 + 3*a**2).\nAnswer: 84*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 9. Let q be p(-12). Solve 4 + 5 = q*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {i: 3, c: 3, o: 2, d: 3, n: 1, a: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.3 - 6.5. Let x = k - -5. Let f = 973\/4 + -243. Which is the nearest to -1? (a) x (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1101?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 8*l**4\/7 + 97275*l**3\/7 - 60803*l**2\/7 - 36480*l\/7 = 0.\nAnswer: -12160, -3\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13184 is divided by 1315.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 + 4*m + 0*m**2 - 4*m.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 449 - 65. Let c be ((-7)\/4)\/((-8)\/n). Suppose -2*p + p = -c. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.0421.\nAnswer: 0.02105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33211799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 6:27 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 510 = -5*t + 3*t, 765 = 3*t - 2*h. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64*(-25)\/500)\/(1\/15*-1)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54721.8 kilometers?\nAnswer: 54721800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/7 - 204\/7*z**2 + 207\/7*z - 4\/7*z**3.\nAnswer: -(z + 52)*(2*z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2 + 6\/(-4)). Let k = -44 + 55. Suppose -t - 2*u = -1 - 9, 2*t = -u + k. What is the nearest to m in -2, -4, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, a: 2}. What is prob of picking 2 o and 1 a?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1687 - 1692. Which is the nearest to 2\/7? (a) -0.4 (b) -3\/16 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/21 and 59\/6350?\nAnswer: 133350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -368 - -548. What is the highest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304041*u**3 - 2*u + 42186.\nAnswer: 1824246*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*z**2 - 1070*z**3 + 209*z**2 - 22*z**2 + 2 wrt z?\nAnswer: -6420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/19, -1\/2, -1.3, 2 in descending order.\nAnswer: 2, -4\/19, -1\/2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 68 - (3 - 8 - 0 - (-12 - (-36 - -24)))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 230 + -221. What is the greatest common factor of 18 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/35)\/((-2)\/(-7)). Let y be ((-3)\/(-1))\/(-1 - 0). Sort v, y, -5 in decreasing order.\nAnswer: v, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -493\/10 or -50?\nAnswer: -493\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*s - 1. Let v = 2.09 - 0.09. What is the nearest to s in 1, -4, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*c + 85 = 0, 4*p - 164 + 60 = 5*c. Solve -5*f = -2*q + 17, -3*q + f = -7*q - p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28410 divided by 2.\nAnswer: -14205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(78))\/sqrt(6) + -4)**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -435 + 335 - (-6 - (-4 - 14))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11633 rounded to the nearest 100?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (987\/(-12))\/((-3)\/12). Suppose 4*p - 703 - k = -4*f, -5*f = 10. Suppose 3*m = -b - 3*b - p, b - 4*m = -84. What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 2\/7, -2, 179 in descending order.\nAnswer: 179, 2\/7, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 6*k + 5. Let h be r(-5). Suppose -s = -2 - h. Suppose 3*o - s = 2*o. Calculate the remainder when 21 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22881*w**2 + 13*w + 99. Is q(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 3*b + 8*b + b - 47*b**3.\nAnswer: -47*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 2*w + 944. Do w and 231\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*r - 830 + 323*r + 845.\nAnswer: -2*r + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**4\/12 + 359*u**2. Let o(h) be the second derivative of h**3\/6 - h**2 + h. Calculate y(o(l)).\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 30 - 62 - 6*c**2)*(2*c - 4*c + 3*c) + 0*c**3 - c**3 - c**3.\nAnswer: -8*c**3 + 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3*(-1)\/(-5) and ((-126)\/(-12) - 11) + (-14)\/(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(5\/11)*f))**7 assuming f is positive.\nAnswer: f**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2482 = 45*l + 27*l + 106 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8854 - 8851. Determine x, given that 1\/5*x**5 + 0 - 1\/5*x**4 + 2\/5*x - 3\/5*x**b + 1\/5*x**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 119. Let n be (-2 + 3*(-22)\/w)*-7. What is the tens digit of (651*-1)\/(-3) - (n - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 4*o. Suppose 2*p = o*y, -22 = -p - 3*p - 5*y. Suppose -p*n + 2*n = -28. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.1 + -19.1. Let k = -14.5 - c. Let m = -1.474 + k. What is m rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127.99999913 - -128. 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: Suppose 5*y - 24 = 1. Let x = -971.3 - -974. Which is the closest to 2\/3? (a) y (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = -f - 5, f + 3*h + 7 = 0. Let x = -2 - -4. What is the units digit of 3 + f + (-2)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p + 10*p - 26*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184453744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 781297.4l?\nAnswer: 781297400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25162.033508 - -13.6\nAnswer: 25175.633508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5259 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 7*l**4\/12 + l + 95. Let v(p) = -15*p**2. Determine d(v(b)).\nAnswer: 1575*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/4 + 3331*q**2\/4 - 1265241*q\/4 - 3825675\/4 = 0. Calculate q.\nAnswer: -3675, -3, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3 + 3)*(-277*a**2 + a + 284*a**2 - 406*a**2).\nAnswer: 798*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 <= 0.30796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13007240 is divided by 7454?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/79466727?\nAnswer: -2\/79466727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - 3401604\/4. What is d rounded to the nearest ten thousand?\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*q**2*w**3 + 250826423*j*q**2*w**2 - 61*j*q*w**3 + 2*j*q + 817*j*w + 2*q*w**3 + 5*q wrt q.\nAnswer: -4*j*w**3 + 501652846*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {w: 2, j: 3, b: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 962 and 0.05.\nAnswer: 48.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 191604 and 1772.\nAnswer: 84880572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n - 1. Let h be l(1). Suppose -t + 5*f - 13 = -2*t, 4*t + h*f = 52. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 188, -1, 22, -15, -5 in ascending order.\nAnswer: -15, -5, -1, 22, 67, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 635 + -4449\/7. Sort 5, 4, -1\/5, a in ascending order.\nAnswer: a, -1\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916 - 936 - (-39 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -912 - -1977. Suppose 2*y + 4*g - 9*g - b = 0, -3*y + 1587 = 3*g. What are the prime factors of y?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 4*f**2 + 17*f**2. Suppose 5*v = -2*y + 9*v + 16, 3 = -3*y - 3*v. Let w(z) = -5*z**2 - 9*z**2 + 26*z**2 - 10*z**y. What is w(l(n))?\nAnswer: 1058*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(91)*4)\/sqrt(7) + -4.\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329813 is divided by 1730.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -189*i**4\/2 - 118*i**3\/3 + 33*i + 34. What is the second derivative of j(f) wrt f?\nAnswer: -2268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 3*p**2 - p. Let t be i(2). Suppose 0 = 5*o - 4*z - 113, t*o - 41 = -0*z + 3*z. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13607.3 centuries in decades?\nAnswer: 136073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 - (-1 + 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6 - 14 = 0, -4*m - p = 320. What is the tens digit of 16\/(-3)*m\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*m, -2*x + 3*m - 10 = -4*x. Suppose 0 = -4*z - x + 22. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {c: 10, v: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2248 is divided by 114.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -13*x**3\/3 - 15*x - 87. Let u(l) = -95*l**2. Calculate g(u(k)).\nAnswer: 2470*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.468 - -1.5. Round u to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2802345, -5604674, -8407003, -11209332?\nAnswer: -14011661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/20 and -107\/1360.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*k - 14008 = -315*k + 281*k for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) -2 (c) 13.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/216)\/((-1)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from {p: 2, r: 7, a: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i**4 - 9*i**4 + i**4)*(-2 - 13 + 1) to the form o*i + d*i**3 + n + t*i**2 + c*i**4 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 8*d + 17\/2*d**2 + 0*d**3 - 1\/8*d**6 + 0 + 3\/10*d**5 - 1\/8*d**4. Let w(i) be the first derivative of y(i). Factor w(g).\nAnswer: -3*g*(g - 1)*(5*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and (-3)\/(-4)*-4 + 0 - -267?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -8)*(-14)\/4. Let m(u) = u**3 - 7*u**2 + 6*u + 4. Let v be m(6). Solve 3*p + 2*x = 10, -x + l = 3*p + v*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0 - 3\/2*i**3 - 8*i + 1\/20*i**5 - 1\/24*i**4 - i**2. What is the first derivative of s(u) wrt u?\nAnswer: 6*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/136 in 4, 2\/5, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 110010?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-35))\/(-2 - (-228)\/115). Let m = 409 + -411. Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:24 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12463*w + 762 = 12498*w - 323 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2513?\nAnswer: 4\/2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Let p(k) = 3*k - 12. Let t be p(4). Let q(x) be the third derivative of 0*x + 1\/24*x**4 + 0*x**3 + t - x**2. Give q(m(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((-180)\/(-54))*(-10)\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f - 2*f + 4 - 7*f - 17. Let i(c) = -c - 6. Let d be i(0). What is the remainder when w(d) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from rqrqrqrrrrrrrr?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 817 - 812. What is the lowest common multiple of (-2)\/8 + (-66)\/(-8) and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v + 55*v + 37 = -5*t, 0 = -4*t - 16*v + 15*v - 31 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 273?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*k = -4554, 5708 = 6*u - u - 4*k. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -45\/4*x + 21\/4*x**2 + 27\/4 - 3\/4*x**3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(136) + sqrt(136))*-2)\/(sqrt(8) - (sqrt(72) + -1*sqrt(72) + sqrt(72) - sqrt(72))))**2 + 1 + -5*(2 + -5 + sqrt(34)\/sqrt(2)).\nAnswer: -5*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -118, -80, -1, 0.06, -1\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8 - -2) + 3 - -97?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101.9 - -96.9. Which is smaller: -3.4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*g - 501 = 2*n, 2*n - 682 = -4*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -22) + (35 - 62) + 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-27)\/1485*415\/2 and -15\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623, 615, 603, 587, 567, 543, 515?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43170500 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35053 is divided by 171?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 1\/2*c**2 + 5*c + 40. Determine q(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 36*n**2 - 7*n - 219. Determine t(7).\nAnswer: 1153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1690, 0, -17 in increasing order.\nAnswer: -17, 0, 1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hohnxqxxoehehx. What is prob of sequence xxqh?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 108. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54806 by 818.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1206*d + 1192*d + 112 = 0. Solve -5*k + 3*w + 26 = 0, 3*w = -2*k + d*w + 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004308898073 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + -15. Let k = 361456 + -361456.4. Which is the biggest value? (a) p (b) 1 (c) k (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 7. List the prime factors of i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 10, d: 2, v: 5, k: 2}. What is prob of sequence dv?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 8, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/409?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 13) + (2 - 1) + 13 - 36.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 762, 2748, 6622, 13014?\n\"Answer: 105*d**3 - d**2 - 4*d - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ikk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2275*l - 1811*l + 4077*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129*c**2*v - 447*c**2 - 3*c*v - 3*v - 27 wrt v?\nAnswer: 129*c**2 - 3*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 15*r + 37. Let p be l(12). Let q(j) = -10*j**3 - j**2 - 2*j + 3. Give q(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 45*f**2 + 20*f - 49. What is s(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 393*l + 18689 - 395*l - 18737. Let q(z) = -82*z. Give k(q(t)).\nAnswer: 164*t - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3908783948 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 809 + -786. Suppose 16*i = -32*i - d*i. Factor 4\/5*m**4 - 8\/5*m**3 + 0*m + 4\/5*m**2 + i.\nAnswer: 4*m**2*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -u + u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*x + 2*x = 22, 0 = 4*x - 12. Solve -a*q = q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5660*c + 5898?\nAnswer: -5660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1775 and 331215?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -21. Let p = h - 7. Let g = 1162 + -1157. Which is the nearest to p? (a) -0.5 (b) g (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {k: 2, v: 4, t: 6, i: 2, y: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(136) - sqrt(136))*-5)\/sqrt(8).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 25*k + 7 - 44*k.\nAnswer: -69*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3\/12 + 13\/(-52).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 594848, 594812, 594762, 594692, 594596, 594468?\nAnswer: 594302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3298 - -5.6718. What is k rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53861 = 2148*i - 42799 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -132 + -698\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -9*t**3 + 5*t**2 - 7*t + 7. Let c(s) = 9*s**3 - 6*s**2 + 8*s - 8. Let g(w) = -w**2 + 40*w + 389. Let z be g(-8). Give z*c(f) + 6*q(f).\nAnswer: -9*f**3 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613266438 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.55519 plus -3180616975?\nAnswer: -3180616978.55519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3 + 9 = 0. Suppose 0*p = b*p + 8. Let i(c) be the first derivative of c**3\/3 - c**2 + 2. Determine i(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1776 - 328 = -8*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24850206.\nAnswer: 2, 3, 460189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/120*5*(0 + 6). Let q = -0.37 + 0.07. Let i = q - -0.1. What is the closest to s in i, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 15*w**2 - 7*w + 5. Let c be y(7). Let o(v) = 3*v**2 - 7*v + 5. Is o(c) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14506, 14470, 14434, 14398, 14362, 14326?\nAnswer: 14290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 95958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18.2? (a) 4 (b) -6\/5 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2540, -5529, -10524, -17531, -26556, -37605, -50684, -65799?\n\"Answer: -m**3 - 997*m**2 + 9*m - 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-6)*1179\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-8 + 3 + 16) - -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 0)*(-5*u - 11 + 11) to j*u + r and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 12, 37, 72, 117, 172?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2458, -4880, -7220, -9436, -11486?\nAnswer: -13328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726419.\nAnswer: 726419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/32*5*180\/450.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*b + 182*b - 12300 = 0 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/189)\/(4\/(-54))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/8 - -7\/8. Put 1, 0.3, v, -0.3 in decreasing order.\nAnswer: 1, v, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2699 + -1719. Does 28 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 80 (b) -2 (c) -7.806\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = v, t + 34 = 5*v + 5*t. Is v bigger than 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13954414 is divided by 4651457.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8929401 + 0.2\nAnswer: 8929401.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 544 divided by 2\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmcbmmmcbbot. What is prob of sequence om?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**3)**(2\/23)*f**(1\/9)*f\/(f**(-1)\/f)*f assuming f is positive.\nAnswer: f**(923\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 737.7 - 772. Let a = d + 34.5. Let i(z) = -z - 1. Let w be i(-3). What is the second smallest value in -3, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63689.38 * 1\nAnswer: 63689.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 453*c*x**3 + 1643326*c*x + 2303*x**4 - 9*x**2 + 4*x wrt x.\nAnswer: 2718*c*x + 27636*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 318031698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 14*h - 22. Let k(m) = -7*m - 1. Let p(y) = -3*k(y) - o(y). Let j = 4 + -4. Let l be p(j). What is the highest common factor of 75 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-68)\/(-51)))\/1*10\/6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -14 - (-8 - (-5 - -5)) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 4, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(875))*2 + sqrt(35))\/sqrt(7) - (-2 + sqrt(45)\/(sqrt(9)*1))**2.\nAnswer: -9 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 29. Let q = -0.3 + 0.1. Which is the biggest value? (a) v (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**3 + 86*o**2 - 54*o - 7. Let q(k) = -4*k**3 + 58*k**2 - 36*k - 5. Let v(n) = -5*h(n) + 7*q(n). What is the second derivative of v(z) wrt z?\nAnswer: 12*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 19 = p, -3*c - 8 = 4*p + 2*c. Differentiate -69*r**p - 2*r**4 + 53 + 104*r**3 + 12 wrt r.\nAnswer: -8*r**3 + 105*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a (base 14) to base 7.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11.17 (b) 2 (c) -0.4 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -7, 23, 77, 161, 281, 443?\n\"Answer: w**3 + 3*w**2 - 4*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from pswspspppwwwiws.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 114*c**2 - 16 + 10 - 650*c**2 - 2268*c**2.\nAnswer: -3032*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 5*t + 2. Suppose 0 = 4*u + 9 + 3. Let b be d(u). Suppose -b*g - 263 + 1438 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54759.99 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -308*u**2 - 9*u - 6. Let s be k(-1). Let x = 307 + s. Solve x*v - 4*v - 2*m + 2 = 0, -m = 3*v + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55224004.\nAnswer: 2, 11, 29, 113, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2 - 5*o + 436.\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110200 (base 3) to base 16.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 12*k + 124 - 117. Let w(y) = -7*y + 6. Give 6*g(r) - 7*w(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/15 + 1 + (-2)\/6. Is 23 a factor of d + (-4)\/(16\/(-372))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -18, -21, -24, -27, -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16134652*a**2 - 3*a - a + 4*a.\nAnswer: 16134652*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12440 + -12438. Calculate the highest common factor of o and 326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1220 + 1220 - 21*x**2. Let g(q) = 17*q**2. What is g(c(l))?\nAnswer: 7497*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28532 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 33 = -0*n - 3*n, 0 = 3*n - 2*i - 32. Let l be (16 - 1)*(-14)\/(-21). Let f = l - n. Sort 1, f, 2 in decreasing order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 20*d + 114. Let n be x(-5). Let l(o) = -o**3 + 16*o**2 + 5*o - 36. What is the units digit of l(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-87 + 54 - (-2 + -9)) + (-59 - -32).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-70)\/175 + ((-8)\/(-10))\/2. Let a(d) = -3*d + 32. Let m be a(n). Suppose c + 2*o = 81, -405 = -5*c - 2*o - m. List the prime factors of c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.008544 + 0.1\nAnswer: 2.108544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57.3 + -7.3. Let l = -276 + 319. Let x = l - v. What is the nearest to -1 in x, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1503191?\nAnswer: 150318a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2.4. Which is the closest to 2? (a) q (b) 2\/9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1680\/1820)\/((-64)\/5408)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 5*n - 30, 431*l - 315*n + 350 = 432*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6861 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.872221cm to kilometers.\nAnswer: 0.00004872221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*z + 227*z - 9698 = 114*z - 99*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.53 (b) -0.5 (c) -11 (d) 1\/2 (e) -17.62 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 16590552.3 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -4. Let d = 17648 - 17647.98. Let m = 227\/336 - 1\/112. What is the closest to m in d, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/5)\/a)**12*a*(a**15*a*a)\/a*a**(-1\/3) assuming a is positive.\nAnswer: a**(322\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1, -15.\nAnswer: -15, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(20\/32)\/(-5))\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*v + 47 + 37, -3*f + 3*v = -54. Calculate the remainder when 117 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1393, 1389, 1385, 1381, 1377?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5546\/19 + -292. Let h(z) = z**2 - 2*z - 64. Let s be h(9). What is the closest to s in o, 0, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 55*j**2. Suppose -4*k - 12 = -8. Let s be t(k). What is the first derivative of 55*y - 4*y**2 - 8 - s*y wrt y?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 1:28 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12234, -24541, -36890, -49275, -61690, -74129, -86586?\n\"Answer: n**3 - 27*n**2 - 12233*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(35) + -1*sqrt(35) + sqrt(35))*-2 + sqrt(315)*-3)\/((sqrt(7) - 4*sqrt(14)\/sqrt(2))*-1).\nAnswer: -55*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -11*l + 103*l. Let p(m) be the third derivative of 7\/6*m**3 + m**2 + 1\/24*m**4 + l*m + 0. What is p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75507946 to the power of 1\/2, to the nearest integer?\nAnswer: 8690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -234 + 231. Let z = 19 - 17.75. Let u = 0.25 - z. Sort -0.1, 9, y, u in ascending order.\nAnswer: y, u, -0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144634 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 t, and 1 c when three letters picked without replacement from ytbtytcbc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8670 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -469034*b**3*n**3 - 103*b**3*n + 175910872*b**2*n - n**3 wrt b?\nAnswer: -2814204*n**3 - 618*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 (base 14) in base 9?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 310.7 - 307. Let m = 3.6999806 - a. What is m rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + d**4 + 0*d**4 + 0*d**4 - 122*d**4 - 77*d**4 + (-d**2 + 0*d**2 - d**2)*(0*d**2 - 4*d**2 + 2*d**2) - 3*d**3 + 12*d**4 - 10*d**4 + 2*d**3.\nAnswer: -192*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -5890)\/2 - -4. Suppose -1557 + 83 = -2*l - 5*h, 4*l = 3*h + p. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5615\/45 + 2\/9. Let t(q) = q**2 - q - 12. Let b be t(-4). Suppose b*r = 3*r + v. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Suppose -3*l - 3*c = -5*l + 3, -o*c - 5 = 4*l. Suppose 0 = 2*x - l*x - s - 28, -5*x + 63 = s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -44 + (5 - -1) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-1\/4)*i*i*i\/i**(-1\/2))\/(i\/((i\/(i*i**(-2)*i))\/i)*i**7\/i))**(-17))**(-21) assuming i is positive.\nAnswer: i**(-3927\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1366)\/(-18441))\/(12\/(-18))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3331*w - 41530 = 18428 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/3 - 7*z**2\/2 + 5*z - 4. Let a be l(7). Solve 3*k - 16 = -3*d + a*k, -28 = -5*d + 4*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72904988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 1)*(-2 + 2*c + 2) + 1 - 1 - c - 8 + 8 - 4*c)*(3*c**2 + 3*c**2 + c**3 - 3*c**2) to x*c**3 + v*c**4 + z + m*c**2 + n*c and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((5405\/(-10))\/47)\/(15\/(-60))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 0, 4*w = -4*a + 3*a. Suppose 0 = 3*u - 19 + a. Calculate the remainder when (12 - 0) + ((-45)\/5)\/3 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 239730*z + 3115645.\nAnswer: 5*(z + 13)*(z + 47933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30*(-5 - (-1153)\/3). Round t to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.135457 + 13.298743. What is v rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -5, -3, 0.038 in ascending order.\nAnswer: -5, -3, 0.038, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/56 and 69\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.0158 (b) -3 (c) 72\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, j: 5}. Give prob of picking 1 l and 3 j.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2329830*k**5 + 3*k**3 - 176*k**2 + 11217.\nAnswer: 139789800*k**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54\/665 + -47573\/11970. What is the common denominator of b and -127\/3460?\nAnswer: 31140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -302 and 0.9.\nAnswer: -301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 400*g + 44712. What is o(-119)?\nAnswer: -2888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 528*g**2*r**3 + 8*g**2*r**2 - 6*g**2 + 7*g*r**2 wrt r.\nAnswer: 3168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2. Let d(g) = 3*g - 16. Let v = -212 + 207. Let w(i) = v*r(i) + d(i). Give w(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -35, -15, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*a + 16*a - 12*a + 1)*(-5 + 2 + 2)*(1 + 2 - 4) to g*a + b and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24778*g**3 - 2*g**2 - 18721.\nAnswer: 148668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*q + 55586 - 24477 = -42691. What is the greatest common factor of 225 and q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1984 + -1981. Solve j = 2*j + 5*y + 25, 3*y = -w*j - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:38 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/3 - 1513916*f.\nAnswer: 4*f*(f - 1135437)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -27*m**2 + 3*m + 6. Let s(p) = -83*p**2 + 10*p + 18. Determine -7*i(w) + 2*s(w).\nAnswer: 23*w**2 - w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -925 + 4 + ((-24)\/42 - 51\/21). Which is bigger: -923 or w?\nAnswer: -923","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 733428 and 918?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8489, -8488, -8487, -8486?\nAnswer: -8485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-14) - 12\/(-42). Is (5331\/18)\/(b\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213 - 123. What is the remainder when r is divided by 65\/(-5) + (1 - -6) - -52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 25 = u, y + 5*u + 21 = 10*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 z, and 1 o when four letters picked without replacement from {s: 2, z: 2, o: 1, g: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13307441.8 * -0.1.\nAnswer: 1330744.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a + 223 = 239 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1091 - -1093. Which is the nearest to i? (a) 0.1 (b) 20 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 11*u - 24*u - 16*u**3 + 4*u + 16*u - 2 to t + y*u**2 + q*u + l*u**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:51 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 85 = 4*q, -3*l = 3*q - 82 - 2. Suppose -4*h - q = -5. Does 8 divide 4\/h*(-225)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 27 = -r, 9*f + 64 = 4*r + 4*f. Let u = 6 - r. Which is the third biggest value? (a) -3\/4 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/83? (a) -1 (b) 5 (c) 3\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3739*q - 3713*q = -52. Let k(g) = 3*g**2 + 7*g + 4. Calculate k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -10 - (-5 + -379). What is the greatest common divisor of 120 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2072 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -250029, -500066, -750103, -1000140, -1250177, -1500214?\n\"Answer: -250037*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*sqrt(180).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -o - 49, -11 = -q - 3*o + 8*o. Solve -q = 6*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 26*((-24)\/(-8) + -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1275554m?\nAnswer: 127555.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55682.24kg in tonnes?\nAnswer: 55.68224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1944 and 49\/48?\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3590, 3853, 4116, 4379, 4642, 4905?\nAnswer: 5168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 10:29 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5372 - 2597. Suppose 339 = -12*l + x. What is the highest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + -1102?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*t + 67 - 67 - 2*t - 2 + 4 - 4 + 2*t - 5*t + 4*t + (t + t + 0*t)*(-3 + 1 + 0) + 3 + t - 3.\nAnswer: -22*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3 + 41109*l + 11 + 4725*l. Let k be f(-12). What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5455\/2 + 4309449\/1580. Let p = 9184\/395 + o. Calculate the common denominator of -77\/2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2626*g + 133*g**3 + 2626*g + g**3 + g**3 - g**3 + (2*g**2 + 5*g - 5*g)*(-2*g + 0*g + 4*g) in the form i*g + q + f*g**2 + n*g**3 and give n.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -810920000 rounded to the nearest one million?\nAnswer: -811000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -115. What is the third derivative of 7 + 11 - 29*z**3 + 26*z**m - 18 wrt z?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 3 - 30*v**3.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 2*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -93*s + 90*s + 1002, 0 = -2*t + s + 506. Calculate the least common multiple of 360 and t.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-1)*-5)\/(-2). Suppose -5*b + 40 - 5 = 0. Solve 5*r - 23 = -3*y, -2*r - p = -b*r + 5*y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 711099.4 grams?\nAnswer: 711099400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15309 and 5670?\nAnswer: 153090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -584 - -965. What is the remainder when (-6)\/15 - q\/45*-3 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -772, -1278, -1868, -2542?\nAnswer: -3300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 13*l**2 - l - 19. Let w be b(13). List the prime factors of (5 - w) + 2 + -2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.58 - 0.02. Let a = 0.6 + s. What is the closest to 0.1 in a, 1\/4, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 3. Let s be g(-3). Suppose -3*f + 176 + 139 = s. Suppose -4*l + f = -l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4160*o = 2*b - 4157*o + 33, 2*b + 38 = -4*o for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -764a5 + 93?\nAnswer: -76412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*f + f**2 + 72*f - 2*f**2.\nAnswer: -f**2 + 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 23. Let d be v(5). What is the greatest common divisor of d and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3085934992.\nAnswer: 2, 7, 397, 69403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*m**6 - 3550*m**3 + 3550*m**3 + 16*m**2 + 2 wrt m?\nAnswer: 2640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.277 and 2935.2831643?\nAnswer: 2935.5601643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/30*12 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 1:16 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4)*3 - sqrt(24))\/(-2*sqrt(800) + sqrt(800)) + (sqrt(9)\/(sqrt(3) + sqrt(3)*1) - (sqrt(12) + -5))**2 + -3.\nAnswer: -76*sqrt(3)\/5 + 115\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - d - 7, 4*p - 9 = d. Let b = 173\/6 + -545\/24. What is the common denominator of b and (7 + -66)*p\/(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7824 is divided by 3907?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9 - 6 + 13 - f**2 + 6*f - 3. Calculate a(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 + -0.16. Let n(r) = -234*r + 8655. Let o be n(37). Sort -1, o, x, -0.4 in ascending order.\nAnswer: o, -1, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:29 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(27))**2*4 - (((sqrt(15)*-2)\/sqrt(5))**2 - (sqrt(132)\/sqrt(4))\/sqrt(11)).\nAnswer: sqrt(3) + 34980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r - 2*r)*(0 - 2 + 1) + 6 - 124504*r + 124163*r - 12.\nAnswer: -340*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*18479\/6256 - 2\/16. Is 6 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12)*p**2)\/(p**(1\/5)*p**(8\/5)))**(-19\/3) assuming p is positive.\nAnswer: p**(1121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - 3*g)*(1 - g**3 + 3*g**3 + 11).\nAnswer: -2*g**4 - 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b + 10. Let c(i) = 4*i**2 + 2*i - 2. Let r be c(1). Let m be x(r). What is the greatest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*w - 3\/7*w**5 + 0 - 6\/7*w**2 + 0*w**3 + 6\/7*w**4.\nAnswer: -3*w*(w - 1)**3*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -78. What is the tens digit of (-954)\/(-30) + 3*x\/90?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m + 8*m + 0*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001076299 to 7 decimal places.\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 4, e: 2}. What is prob of picking 1 e and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75400*w + 226302*w - 75407*w - 75373*w.\nAnswer: 122*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2357 - 18?\nAnswer: -2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7357290 divided by 5\nAnswer: 1471458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1946*j**3 + 446*j**2*r + 236538*r - 1 wrt j.\nAnswer: -5838*j**2 + 892*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 30*u**2 - 33*u + 54. Let g(c) = -c**3 + 29*c**2 + 33*c - 54. Let r(o) = 3*g(o) + 2*l(o). What is the tens digit of r(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-27)*b**(-23)*(b**(-6\/7))**(-5\/6) assuming b is positive.\nAnswer: b**(-338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 40429.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w**2 - 78*w**2 - 79*w**2.\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9669 not equal to 9666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1307 - 719. Suppose 6*a - l = -0*a. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3902*c**2*x*z + 17*c**2*x - 269*c**2*z - 4251*c*x*z + 68*c*x + 3*c + x*z wrt c.\nAnswer: 7804*x*z + 34*x - 538*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.04 + -0.06. Let f = v + 1.03. Let p = -6.53 + f. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -34*h. Which is greater: 3\/13 or h?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24959937.\nAnswer: 3, 619, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/17 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p**(-12)\/p))*p)**(22\/5) assuming p is positive.\nAnswer: p**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/40)\/(3 - 4 - -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 3*w**2 - 8*w - 4. Let l be -4 - -7 - (-3)\/(3\/(-8)). Give h(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 5*n - 25, 0 = -101*n + 99*n - 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0276 + 2.9724. What is the second smallest value in -0.383, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64962 is divided by 436?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4521824716 rounded to the nearest 1000000?\nAnswer: -4522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880)*-6)\/sqrt(9) + 5)**2.\nAnswer: -480*sqrt(5) + 11545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + 88. List the prime factors of i.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/9)*y)**46)**(-2\/67)\/(y**12*y**(2\/9))**(-43) assuming y is positive.\nAnswer: y**(315898\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 6815\/241?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*3 - sqrt(95))\/(sqrt(5) + sqrt(245)*-2).\nAnswer: -5*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1331625 divided by -5.\nAnswer: -266325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/22 and 55\/243849742?\nAnswer: 2682347162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**24\/x)**(-39)\/(x**35*(x**(8\/13)\/x*x)\/x) assuming x is positive.\nAnswer: x**(-12111\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/11 + 209592*d**2\/11 + 33152982*d\/11 + 1310035828\/11 = 0.\nAnswer: -79, 104954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -3. Let a be n\/(-4) - 2\/8. Solve 2*s**a + 3*s**3 + s + 5*s - 2 - 3*s**3 - 6*s**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/2490 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + -10111?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90521324*y**3 - 2015*y**2 + y + 1112 wrt y.\nAnswer: 543127944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 + 18*i**2 - 3*i + 9. Let v be (0 + 12)*(-33)\/44. Let h = -180 + 285. What is the remainder when h is divided by g(v)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*b = 7*b - 6, -2*r + 4*b = 12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, y: 5, j: 8}. What is prob of picking 1 y and 2 i?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112133 is divided by 27417?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -70. Calculate the highest common factor of 369 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (232 - 228 - (-31 - 1)) + (3 + 0 - -5)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9)\/i*i*i*(i\/(i*i*i\/i**13*i*i)*i)\/i*i)\/(i\/(i*i*i*(((i**(2\/3)*i)\/i)\/i)\/i))**(-41))**(-1\/9) assuming i is positive.\nAnswer: i**(76\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3647)\/7 + 1 - 7. What is the tens digit of 4144\/34 - 62\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -17782.\nAnswer: -88910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.157 - -43.157. Let u = -43 + f. Is 0.026 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:43 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4167 and 757478649.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301426, 301421, 301416, 301411, 301406, 301401?\nAnswer: 301396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 12:29 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 16*c**2 + 17*c + 15. Calculate q(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-163372 - 5*a + 326724 - 163463)*(-a**2 + 2*a**2 + 0*a**2) to the form p*a**3 + h + l*a**2 + u*a and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 100?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**3 - 5. Let r(p) be the second derivative of p**2 + 0 - 3\/20*p**5 - 46*p + 0*p**4 + 0*p**3. What is -4*q(w) - 10*r(w)?\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.788489 millilitres?\nAnswer: 0.000788489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17578*0.2\nAnswer: -3515.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3445.93 - -3430. Let q = 16 + t. Let g = q - 0.06912. Round g to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 48233964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.7 - -70.4. What is t rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 24 - 49 = -5*g, z - 11 = -4*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.946825 weeks to hours.\nAnswer: 999.0666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(325))**2*-4 + 5 + ((sqrt(78) - ((sqrt(78) - -2*sqrt(78)) + sqrt(78)))*-2)\/(sqrt(24)*-2).\nAnswer: -5195 - 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 239847*i**4 - 266065 wrt i?\nAnswer: 959388*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8698666 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270*m**3 - 2889*m**2?\nAnswer: 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 201794*u - 403580. Calculate x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(243)*1)**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -0.5 (b) 2 (c) 1.446 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a microgram in nanograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(891)*2 + sqrt(891))*-6 - (-1 + 1 + sqrt(44)\/sqrt(4) + -5))**2.\nAnswer: -4870*sqrt(11) + 2608884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/311 - 1627\/3732. Find the common denominator of -29*((-26)\/28 + 1) and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/396*(-240)\/(-6)*(-12)\/(-8)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1*0\/5. Is (-2 + 0 - -4)*(-1151)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075841.52 rounded to the nearest 100?\nAnswer: -1075800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -135*a**2. Let u(j) = 2*j**2. Give u(i(y)).\nAnswer: 36450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-9)*((-15)\/18)\/((-45)\/81)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -16. Let g(z) = -z**3 + 6*z**2 - 6*z + 4. Let b(s) = -s**2 + s - 1. Give v*g(n) + 6*b(n).\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 16*d**2 + 483*d - 140480. Determine b(-110).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 265*g + 28*g**4 - 58*g**4 - 7 + 32*g**4 to h*g**2 + u*g**4 + q*g**3 + o*g + l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 308*x**3 + 14 - 13 + 19 - 12*x - 310*x**3 to the form i + d*x**2 + f*x + r*x**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -873 divided by -43\nAnswer: 873\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -47. Suppose -112 = -5*a + 2*l, -5*a - 2*l = -s - 112. Let r(y) = 16*y. Let q be r(1). What is the greatest common factor of q and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 211360 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -61, 18, -4 in decreasing order.\nAnswer: 18, 5, -4, -6, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 66 = -10*d. Calculate the common denominator of (-185)\/12*2\/5 and (-12260)\/(-600) - 1*2\/d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 7129485.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2 - 20*s + 5. Let z be i(10). Is z bigger than 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + (sqrt(833) - 5*(3 + sqrt(833))) + -5 + (sqrt(833) + sqrt(833)*4 + -1)**2*-1.\nAnswer: -20849 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**0*h)\/h)*h*(h\/h**5)\/h*h)\/(h**(-1\/5)\/(h\/(h\/(h\/h**(5\/3)))*h)) assuming h is positive.\nAnswer: h**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 8 - 11 + 30)*(2*k + 5*k + 3*k)*(2002*k - 2002*k - 92*k**2).\nAnswer: 1840*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnan. Give prob of sequence nann.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -395029506*t**3 - 20818939?\nAnswer: -1185088518*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 7*c + 2. Let d be -7 - 2*(-5)\/10. Give q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w = 98*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/8 - (-33)\/44. Suppose z + 3*n = 2*n + 2, 0 = -3*z - k*n + 4. What is the third derivative of 0*h**3 + h**6 + 0*h**2 + 0*h**z - 2*h**2 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 20*j**2 + 5*j - 65. What is the remainder when 67 is divided by z(20)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iobnbbiiivvl. Give prob of picking 2 i and 1 b.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2 + 874*z - 10200 = 0.\nAnswer: 12, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370\/(-16) - -4*(3088\/512 + -6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10486, -19675, -28864, -38053, -47242, -56431?\n\"Answer: -9189*d - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z - 2*z**3)*(-1 + 0 + 0) + 6*z**3 - 76*z**2 + 11*z**3 + 75*z**2.\nAnswer: 19*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + (0 - (-7 + 7 - -5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*h**2 + 9*h**2 + 5*h - 49*h**2.\nAnswer: -136*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 43*x**3 + x**2 - 4*x - 1. Let j be l(3). Let w be (6\/(-18))\/(3 + (-148)\/48). Suppose -5*n + j = w*z, 0*n + 4*n + z = 919. Is n a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + 1. Let p be t(-2). Let d = p - 9. Suppose -7 = -3*x + d. Solve 3*k - 3*q - 6 = 0, x*k + q + 0 = 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-12)*t**(3\/2)*t*t\/(t*t**(-3))*t)**(-7\/3) assuming t is positive.\nAnswer: t**(-259\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 173*o + 29. Let z(u) = -2*u**2 - 119*u + 19. Let n(g) = -11*f(g) + 16*z(g). Let a = 0 - 0. Determine n(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -59. Suppose 4*s - g*z - 29206 = 0, 0 = -5*s - 2*z + 6009 + 30485. Round s to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-104))\/(4\/(4 - -4)) - -1\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2) + 81\/18. Suppose 4*w + 20 = p*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/280 - c**5\/140 - 5*c**4\/56 - 3*c**3\/14 - 4*c**2. What is w in a(w) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - -13. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3 + 3.7. Let i = d + -5.9999895. What is i rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3296, -6455, -9478, -12365, -15116, -17731, -20210?\n\"Answer: 68*p**2 - 3363*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4.1. Let w = 4.24 - -0.66. Let p = w + -5. Which is bigger: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1394757 and 1641?\nAnswer: 762932079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -4, -13\/5, -15, 0.238, -3?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5 = -0*v, 2*v + 32 + 69 = 21*a - 18*a + 6*v for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*u**2 + 2 + u**3 - 12*u**2 - 1 + u**4 to the form p + o*u**2 + j*u**3 + q*u + b*u**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -44628.1467 to the nearest 100.\nAnswer: -44600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-841*n**2 - 8 + 12 + 140*n**2 - 4)*(-n**3 + 8*n**3 - 8*n**3) + (-6 + 3 + 4)*(-4*n**5 + 4*n**5 - 2*n**5).\nAnswer: 699*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 + 2\/3*m**4 - 5\/6*m**3 + 87*m**2 + 0*m. Let n(y) = -y**2. Give v(n(i)).\nAnswer: -16*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 - 81*a**2 + 409*a + 122. Determine i(20).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 906.8946 - 907. Let l = z - -0.1. What is l rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2. Let w(u) = -2*u**2 - u. Let s(p) = 34*p**2 + 16*p. Let q(a) = 5*s(a) + 80*w(a). Calculate k(q(m)).\nAnswer: -800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12) - sqrt(768)) + 0.\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -510, 5 in ascending order.\nAnswer: -510, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52.277 + 52.5. Let a = 0.2377 - c. What is a rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 70 = -2*l. What is the greatest common factor of l and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -540*m**2 - 4*m + 17. Let s(v) = 538*v**2 + 3*v - 16. Let n(g) = -6*s(g) - 7*t(g). Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - 5*-1*sqrt(84))\/(sqrt(7) + (sqrt(189)\/sqrt(3))\/sqrt(9)))\/((5*sqrt(24)\/sqrt(2))\/(sqrt(90)\/sqrt(5))))**2.\nAnswer: 162\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 - 2*w - 1. Suppose 5*b - 66 = 7*b. Let z = b - -31. Determine q(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356 is divided by 91?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 316, 330, 362, 418, 504, 626, 790?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*m**2 - 45*m**2 - 70*m**2 + (2*m - 4 + 4)*(-m - 4*m + 6*m) in the form q*m**2 + y + t*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17167.\nAnswer: 17167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*c - 2. Let l = 78433\/70587 - 1\/23529. Find the common denominator of 54\/c - 2\/7 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((56 - -11 - 11) + -26).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (3 - 0 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29030*s + 1402*s**2 - 29030*s.\nAnswer: 1402*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3\/4 (c) 63 (d) -18 (e) 1\/5 (f) -29 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -14419*w**3 - 2*w - 1. Let o be b(-1). Suppose -4*k - o = 5*a - 61900, 9510 = a - 2*k. What is a rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 9. Let d(y) = 130*y + 7019. Let a be d(-54). Determine m(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1864 times 247\nAnswer: 460408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 32*a - 1238. What is the remainder when a is divided by (-34)\/(-4) - 1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3202 or -0.046155?\nAnswer: -3202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12876574?\nAnswer: 2, 193, 33359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3004, 3006, 3018, 3046, 3096, 3174, 3286, 3438?\nAnswer: 3636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 91*x**3 + 2*x**2 - 2*x - 1. Let r be u(2). Suppose -167 - 12 = -d - j, -j = 4*d - r. Suppose d = 7*a - 236. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**1))**(-35)\/((o\/o**(-3\/4))\/o**(-2\/13)) assuming o is positive.\nAnswer: o**(1721\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 27 - 18)*(-2*n + 2*n + n)*(0 + 0 + 2*n)*(-2*n**3 + 6*n**3 - 5*n**3).\nAnswer: -66*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.235 + -0.235. Let r = 22528\/25551 + 1\/1503. Let o = r - 126\/85. Which is the smallest value? (a) p (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + 58\/4. Suppose -g = -4*f + 6. Let o be f + -2 + 1 + -1. Solve -5*y + 3 = -2*m + 10, m - 2*y = o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z**(2\/11)*(z\/((z\/z**(-4))\/z))\/(z*z\/((z*z**(-2\/15))\/z)) assuming z is positive.\nAnswer: z**(-170\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 463512*q**4 - 2 + 2*q**3 - 463541*q**4 - 3*q**3 + 28*q as g*q**2 + j*q**4 + f*q + c*q**3 + l and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8219*y. Let v(m) = 51*m**2. Give f(v(l)).\nAnswer: -419169*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0086 + -2.0086. Which is the second biggest value? (a) k (b) -63 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/175950 and 181\/280288350.\nAnswer: 280288350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 516.6\nAnswer: -154.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*q - 14 = 0, -1 - 3 = -4*r + 2*q. Suppose l - r*l - 32 = -4*t, 0 = -l + 3*t - 27. What is the biggest value in -2, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21563*l**3 - 23364. Let b(p) = 8625*p**3 - 9345. Let s(q) = 17*b(q) - 7*d(q). Find the first derivative of s(h) wrt h.\nAnswer: -12948*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 13*i = -14*i + 18, 0 = n - 3*i + 12. Let d(a) = -2*a**3 + 10*a**2 - 11*a + 20. Give d(n).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3, 0.01, 1.7, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 2*x**2 + x. Let n(u) = 3*u**3 + 4*u**2 + 4*u + 60. Give 2*b(s) - n(s).\nAnswer: -s**3 - 2*s - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 12. Sort w, -2, 2 in decreasing order.\nAnswer: 2, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157254 divided by 7\nAnswer: 157254\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*n - 14 = 0, 24*n = 5*i + 20*n - 50. Solve -3*d = -k - i*d + 7, 0 = -3*d + 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtwnnwwwwwtwmwwwtt. What is prob of picking 1 w and 1 n?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60014.6301 - -60007. What is l rounded to 1 dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552005 is divided by 36799.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 398*k**2 + 14388*k - 46800.\nAnswer: 2*(k - 3)*(k + 52)*(k + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -303*a**3 - 3032*a**2 - 2747*a - 18 = 0.\nAnswer: -9, -1, -2\/303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100110010110001001 (base 2) to base 3\nAnswer: 21222110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4\/3 - 28*k**3\/3 - 36*k**2 - 116*k\/3 - 40\/3.\nAnswer: 4*(k - 10)*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 5*m**2 + 3*m + 2. Let x be r(3). Let v be (13\/26)\/(-1*(-2)\/(-16)). What is the biggest value in x, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*j - 63 = -160*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 6. Let -1 + 2 + b*l - 2*l**3 - l**2 - l**3 = 0. Calculate l.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5766063ng in milligrams?\nAnswer: 0.0000005766063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*n*q**2*x - 12*n*q - 33*n*x + n - 2*q**2 - 5 wrt x.\nAnswer: 19*n*q**2 - 33*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -14\/23 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15491838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6646 = 2*v + 4499, -2*c = 3*v - 7430. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 18*s - 5. Let d = 128 - 146. Determine p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 4, 4*o + 3*p - 46 + 49 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**4 + 0*t**4 + 2*t**4)*(1 - 2 - 1 + 2 - 5 + 2 + (3 - 2 + 0)*(-1 + 2 - 2) + 0 - 1 + 2) to z*t**3 + g*t**4 + j*t**2 + c + h*t and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 + 10*y - 11. Let t be l(7). Solve 4*s - t = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 30398 = -3*f, f - 11675 + 1544 = 2*w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.1 - -41. Which is the closest to i? (a) 2\/9 (b) -7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 74.04. Let d = i - -0.04. Which is the nearest to -0.2? (a) 2\/5 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 3*m, -4*m = -3*y + 16038. What are the prime factors of y?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 10) in base 14?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -491 - -486.02. Let k = 5.28 + j. Let w = -0.01 + 0.11. Which is the third smallest value? (a) k (b) 22 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22519, -22817, -23347, -24109?\nAnswer: -25103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5)*f)\/f)**(-15) assuming f is positive.\nAnswer: f**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5673*c - 25330 = -5678*c. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (54369\/(-2) + 3)\/((-9 - -2)\/14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3020*j + 3025*j + 3033*j + 3022*j - 15133*j + 3021*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -8 - (15 - (6 + 8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 2*i**2 + i. Suppose -4*q - 4 = -0*q. Let a be g(q). Suppose a*v = -4*v + 32. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9 - -9306) + (-20)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 3:02 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-20)*v*v**(-1\/19))\/(v**(-1\/9))**8 assuming v is positive.\nAnswer: v**(3905\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -312*g**3*j**4 - 15*g**3 - 529*g**2 wrt j.\nAnswer: -1248*g**3*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -2\/3, 13812.\nAnswer: -2\/3, 2\/3, 13812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -21. Suppose 8 = -v + 3*u, -w = 2*v - 2*u - 3*u. Suppose -8 - 2 = -5*r. Solve r*q + v = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:15 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -979, -975, -971, -967?\n\"Answer: 4*w - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1771914 (base 10) to base 11\nAnswer: -10002a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-5))\/(((-1134)\/140)\/(-27))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49, 94, 153, 232, 337, 474, 649?\n\"Answer: t**3 + t**2 + 35*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -128.3.\nAnswer: 14.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 14*d**2 - 2*d + 38. What is i(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkamaauuuuamaku. Give prob of picking 1 k and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*38\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40685*k**2 - 185238 wrt k.\nAnswer: -81370*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from {o: 1, g: 1, k: 1, x: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 57*i - 1159 = 0. Solve i = -7*y - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108840 and 210135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -16*g + 4. Let c(h) = -3*h + 1. Let k(s) = 6*c(s) - i(s). Let q be k(11). Which is smaller: q or -17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -17, -89, 6, -2, -5, -4.\nAnswer: -89, -17, -5, -4, -2, 6, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m*y**2 - 293*m*y + 1892706*m + 554*y**2 wrt y.\nAnswer: -4*m*y - 293*m + 1108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - (-1 + 4)\/1)*3. Let z(m) = 6*m**3 + m**t + m**2 - 9*m**3 + 5*m. Let f(o) = -3*o**3 + 2*o**2 + 6*o. What is 3*f(v) - 4*z(v)?\nAnswer: -v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**4\/12 - q**2. Suppose 4*w = 3*g + 18, 0 = 4*w + g - 3 - 7. Let j(v) = 5*v + 3 - w. Calculate j(u(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:59 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 + 6*q + 4. Let w be a(4). What is the remainder when w\/(-36)*6*123 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.467 and 2.9404.\nAnswer: -1.3731668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170253 divided by -170253?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -507?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**5\/7 + 197128*k**4\/7 - 28170*k**3 - 5914052*k**2\/7 - 14981992*k\/7 - 1577040 = 0?\nAnswer: -98565, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 49334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-3)\/25*5. Solve -3*m - 9 = c, -12 = 2*z + 2*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 366\/14 + -6 - (-2)\/(-14). Solve z - 2*k + 4 = 0, -5*z + k - w = -k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 368 and -0.164?\nAnswer: -60.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**4 + 225*q**3 - 121*q**2 + 16*q. Let y(m) = m**4 + 45*m**3 - 24*m**2 + 3*m. Let g(b) = 2*x(b) - 11*y(b). Find the third derivative of g(r) wrt r.\nAnswer: -24*r - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.5, 0.23, 2\/5 in decreasing order.\nAnswer: 0.5, 2\/5, 0.23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 15398491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**2 + 1. Let j be 3\/15 - 18\/(-10). Let d(k) = 13 - 13 + 3*k**j. Give d(v(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhyeyiyeyiyhyeih. What is prob of picking 3 y and 1 e?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*c + 3*c**2 - 45*c + 13 - 54*c + 5 as m*c**2 + v + n*c and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -34*h + 29*h - 18, -5*u + h = -30. Solve -78*q + u = -72*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 3*d, -5*d + 25 = j + j. Let r = -0.4 + -0.6. Which is the closest to d? (a) r (b) 5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2502306 to 3 decimal places.\nAnswer: -2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/5 - 1)\/(6\/(-15)). Let t(z) = z + 7. Let s(n) = -2*n - 11. Determine g*t(r) - 5*s(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)*s*(s\/(((s*s\/(s\/s**3)*s)\/s)\/s))\/s)\/((s**3*s)\/(s\/s**9)) assuming s is positive.\nAnswer: s**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -23*o - 191. Let u(g) = 23*g + 162. Let x(m) = 5*p(m) + 6*u(m). Determine x(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (7 - 1 - (-87 - -85)) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/147 - 101*i**6\/105 + 575*i**5\/14 - 16199*i**4\/42 + 16168*i**3\/21 + 35344*i**2\/7 + 11349*i. Let x(n) = 0. What is n?\nAnswer: -1, 4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-42) - 2\/(-12). Solve l = -0*w - 2*w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(605))**2 + (sqrt(90)\/(sqrt(2) + (sqrt(8)\/sqrt(4) - sqrt(2))))\/sqrt(9).\nAnswer: -1210 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 divided by 4?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10238*o - 286 = 10264*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-18))\/((-9)\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 43*m - 660 - 358 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/66934 and 149\/147528.\nAnswer: 7228872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -13\/296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 12. Let v(z) be the first derivative of -z**2 - 1310. Determine v(i(j)).\nAnswer: 8*j + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + 22. Let v(f) = -f**2 + 13*f - 10. Let w be (2 - 2) + 9 - 1. Let g be v(w). What is the highest common factor of q and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(-9\/2))\/y)\/y**(-4)*(y\/(y*y*y*y**(1\/3)))**49)\/(y**(-1\/5)\/(y**3*y*y)*y**(2\/21)*y*y*y**(-2\/9)) assuming y is positive.\nAnswer: y**(-63949\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from iidmimiimxxxus.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 27*f = 0. Solve 5*s = -f*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 + -129. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -20*j - 41. Let t(b) = 141*b + 285. Let o(i) = 4*t(i) + 27*v(i). List the prime factors of o(4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 16. Let s = v - -3. Suppose -5*w + 73 = u, -2*u = -s*w - 7*u + 85. Solve -3*t = 2*k - w, 2*t - t + 18 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 39. Which is the second biggest value? (a) 0.4 (b) -2\/9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2260000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (10 - 258\/24) + 1003\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 152*t + 2214. Determine p(43).\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -1, -0.2, 0.2, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 414*t**2 + 913*t + 36663. What is x(-412)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3399.01372 + -0.01372. Let p = d + -2134. Let q = p + -1270.43. What is q rounded to one decimal place?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6644 and 20240.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15098 is divided by 888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 838032734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.02 (c) 5282.6 (d) 0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20892570 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 385 and 175.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2 - 347\/(-173)). Let l = 11 - 8. Suppose -y - l*j + 44 = -4*j, 0 = 4*y - 5*j - o. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36*27\/(-2268))\/(2502\/84).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -221.\nAnswer: 5\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 109786?\nAnswer: -109781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ssisisss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 35 + 34. Is (-1 - -1)\/(w + 2) - -11983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 4. Suppose -5*x - 45 = 2*o, 5*o + 0*o + 2*x + 60 = 0. What is f(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - l)*(-3 - 2 + 3)*(7*l - l - 3*l).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40087 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.313*0.2.\nAnswer: -0.0626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-1) + (3 - 1). Suppose d = 2*g + g. Let v = 475\/11 + -43. Which is the second biggest value? (a) 0.2 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-5)\/(-2)*2. Let g(y) = -r*y - 2*y - 4*y + y + 2*y**2 - 10. Does 15 divide g(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-16 - -9 - -10)\/(-3)). What is the closest to n in -3, -1, 57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206b (base 13) to base 12.\nAnswer: -2717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7292*s + 526 + 5*s**2 - 527 - 4*s**2.\nAnswer: s**2 - 7292*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46250, -92503, -138760, -185021, -231286, -277555, -323828?\n\"Answer: -2*m**2 - 46247*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29999992 - -0.3. Round p to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*u*y - 80*j*u - 3*j*y**3 + 4*u*y**2 - 4*y wrt y.\nAnswer: -2*j*u - 9*j*y**2 + 8*u*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56 and 2185?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*u + 18 + 3*u - 13 as s + x*u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - 6. Suppose -4*f + 13 = -2*y + y, -c*f = -4*y - 10. What is the third derivative of 2*a**6 - f*a**2 + 2*a**2 - a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y. Let o be 3\/(-6)*(0 - (-8)\/(-12)). Let q(l) be the second derivative of 0*l**2 + o*l**3 + 0 + 2*l. Give 3*a(p) + 8*q(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 713801 (base 11) in base 13?\nAnswer: 312099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3 + (sqrt(1573) - 4*sqrt(1573)))**2 - 2*1*(sqrt(104)*2)\/sqrt(8).\nAnswer: 260*sqrt(13) + 14173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000486126 to 6 decimal places.\nAnswer: 0.000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138085878 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/24*(-64)\/24*297\/(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15222420 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8972*f + 906164. Give b(101).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20*a**2 + 8*a - 56. Let x(t) = 7*t**2 + 3*t - 19. Suppose 0*h - 42 = -14*h. Let q(b) = h*p(b) - 8*x(b). Let u(w) = -w. Give q(u(d)).\nAnswer: 4*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 6\/5, 5, -2\/3 in increasing order.\nAnswer: -8, -2\/3, 6\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0*x + 0*x)*(-2*x + 5*x - x) - x**2 + 5080 - x**2 - 5053 - x - x.\nAnswer: -4*x**2 - 2*x + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/23 + 13*17\/(-221).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.38 + 5.\nAnswer: -11.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 29*g**2 + 83*g - 84. Calculate q(26).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 4*w + 242 = 0. Solve -6*j = -w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 252.458 + -34.768. Let p = b - 219. Let k = 2.22 + p. What is k rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 19*w. Let h(r) be the first derivative of w*r + 0*r**3 + 2 + 0*r**2 - 3\/28*r**4. Let h(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*(-1 - (-1)\/2). Let q(n) = 0 - 6*n - 2 - 3. Does 5 divide q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.519 + -2.481. What is the nearest to 0 in -55, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, -0.1, -0.09, -5, -15\/133?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, 1, -2.\nAnswer: -5, -2, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3559 and 0.27.\nAnswer: 3559.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*t = 73 + 69, 4*t - 192 = -4*y. Suppose -f + 5*f - 141 = -d, -3*f + 5*d = -77. Calculate the remainder when y is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x - 32. Let k be d(0). Let v be 336\/k*8\/6. Let a be (40\/v)\/(14\/(-98)). Solve -a = 4*w, -w + 23 = -u - 6*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (204\/(-170))\/((-6)\/7870)?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -2*s - s, -4*s - 4 = 4*u. Suppose -s*r + 127 = -2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6759*l**3 - 3150*l**3 + 1 - 1.\nAnswer: -9909*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -1036\nAnswer: 25\/1036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:11 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.2484 (b) 1 (c) -1301\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14375 and 1125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (5 + 4)) + (-8 - (0 + -1)) + 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42289 is divided by 3252.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-2))\/(30\/(-40)). Find the first derivative of -5 + n + 2 + i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -799256412 - -713.6.\nAnswer: -799255698.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112102 - 1201?\nAnswer: 110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + 1 - (-16 + 40)) + -29 + 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((2*sqrt(5929))\/(sqrt(336)\/sqrt(3)) - ((sqrt(7) + sqrt(7) + 2 + sqrt(7))*-2 + -2)*-2))**2.\nAnswer: 156*sqrt(7) + 1759\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.78, -2\/9, 4\/9, 2\/15, 1\/3.\nAnswer: -0.78, -2\/9, 2\/15, 1\/3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) -1\/8 (c) 3\/4 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305525978.\nAnswer: 2, 152762989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, t: 6, d: 3}. Give prob of picking 3 e and 1 t.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58819 is divided by 98.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + x - x**2 + x**2 - 5*x**2 + 3*x**2 + (2*x**2 - x**2 + x**2)*(-2 + 2 + 2) + (-x - 3 + 3)*(-960*x - 733*x + 1445*x) as w*x + z + q*x**2 and give q.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -164888642 divided by -6\nAnswer: 82444321\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 + 6*t**4 + 4*t**2 - 20*t**2 + 5*t + 10*t**2 - 2*t = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 21*n + 5. Let c be 0\/1 - -14*(-12)\/(-8). Let f be a(c). Sort -5, f, 4.\nAnswer: -5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 21*f + f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15447\/(-171) + (-203)\/21\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 58\/(-18) - (-2)\/9. Let p(s) = s**3 + 4*s**2 + 2*s - 1. Let z be p(n). Suppose 8*d - 72 = z*d. Solve 2*v + d = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 smaller than 3034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -133 - 425238?\nAnswer: -425372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332807708.\nAnswer: 2, 17, 4894231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -5.6 (b) 0.4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 19, r: 1}. Give prob of picking 1 q and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**2*m - 194*j**2 + 822*j - 11*m wrt j?\nAnswer: 18*m - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.3. Let j = 13.4 + -30.8. Let x = 18 + j. Sort y, -1\/4, x.\nAnswer: -1\/4, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159282493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -18. Let j be (27\/q)\/(3\/(-16)). Let u be 3\/j - (-19)\/4. Let l(o) = -o - 1. Determine l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 15. Let i(a) = -a - 13. Let y(w) = 3*i(w) + 4*l(w). Let u(p) = p**2 + 16*p - 6. Let b be u(-15). Let j be y(b). Solve -5 = s - j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-351)\/18)*(-54)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7*((2 - -2) + (-330)\/77). Which is the third smallest value? (a) 2\/9 (b) -1\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246093913?\nAnswer: 13, 29, 149, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b + 18c3?\nAnswer: 18ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 5, q: 1, p: 1, d: 10}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -1 - (-4)\/(-14). Let g = 84436.3 - 84436.4. What is the nearest to g in -5, -0.5, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/53? (a) -2\/11 (b) -92 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 6. Which is the smallest value? (a) s (b) -1\/6 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - (-2*-1*sqrt(84) - sqrt(84))))\/(3*1*sqrt(12)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -23*r**2 + r + 2. Let p be b(-2). Let d = p - -254. Calculate the greatest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 96186.22 tonnes?\nAnswer: 96186220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 2*v - 7, -3*y + 4*v - 9 = -2*y. What is the closest to 0 in y, 3, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7))**(-17)*y**7*(y*y**(2\/9)*y)\/y assuming y is positive.\nAnswer: y**(212\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/16)\/(77\/56). Sort p, -0.4, 4, 0.5.\nAnswer: -0.4, p, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3285 + -3285. Solve 9 = 3*t - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*(-6)\/4. Suppose -2 - 2 = 2*u, 3*d - n = -4*u. Suppose -k - 2*x + x = -60, 0 = -4*k - d*x + 244. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (-26 + (-4 - -40))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*r = -109, 3*a - 4*r = -264 + 641. What is the greatest common divisor of a and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*i + 90*i + 104*i + 4*j + 57, -47 = 8*i - j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/10)\/(((-2)\/(-5))\/(-2)). Solve -5*b = 3*f - 15 - y, 5*b - 3*f - 17 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y + 6. Let f(s) = -4*s + 9. Let r(n) = -2*f(n) + 3*k(n). Let i(o) = -21*o. What is r(i(j))?\nAnswer: 84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)\/((-3)\/(-9)*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/192420 and -25\/3292.\nAnswer: 158361660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4631196 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -be87a (base 15) to base 5\nAnswer: -123343130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 8*s**2 - 6*s - 19*s + 5*s + 20*s**3.\nAnswer: 4*(s - 1)*(s + 1)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 + 2 - 2 - 3*x**2. Let l(i) be the third derivative of 0*i**4 + 0 - 9*i**2 + 1\/15*i**5 + 0*i + 0*i**3. What is l(m(o))?\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) 1 (c) -3 (d) 0.021\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133*d**5 - 47*d**4 + 1001*d**2 - 2*d + 1.\nAnswer: -7980*d**2 - 1128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 5*l = 22. Calculate the remainder when 255 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23126907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (1 - 0)*-2. Solve h*c = -3*z + 2, -c = 3*c + 2*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -4, -64, -178, -364, -640, -1024?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -2 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045603 at most 33501628\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:55 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1848*k. Let o(y) = -2*y. What is o(z(l))?\nAnswer: 3696*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55404 + -55402. Factor -3\/4*f**b - 12 - 15\/2*f.\nAnswer: -3*(f + 2)*(f + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 e, and 2 v when four letters picked without replacement from evgyvg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -2. Let l = y - 5. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-32 - -22) + -24 + 7 + 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*-67297\nAnswer: -201891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 1. Let m(q) = -q**2 - 3*q + 1. Let b(s) = -m(s) - 4*r(s). Calculate b(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1769, 7309, 16609, 29669?\n\"Answer: 1880*o**2 - 100*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 26*i + 65. Let s be r(-27). Let n = s - -869. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 44566?\nAnswer: -5\/44566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7377222, -14754442, -22131662, -29508882, -36886102?\n\"Answer: -7377220*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*k = -61, 4*z + 0*k - k = 87. Let y = z + -20. Suppose -4*b - 630 = -2*t, 3*t - t - 642 = -y*b. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11628929 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - w + 4*w**2 - 2*w**2 - 4*w**2. Let s be (2\/(-5))\/((-3)\/(-15)). Let g be n(s). Solve g*f + f - 15 = 0, 7 = -2*j + 3*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 123207868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108690 is divided by 216?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*w - 38, 5*n + 3*w - 62 = -0*w. What is the least common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 6 - ((-3 - 0) + 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (2 - 3))*(-24)\/(-3). Let w = 379 - 178. Suppose 407 = 19*d - w. What is the greatest common factor of d and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**10\/y)\/y)\/y**(-32))**(1\/31) assuming y is positive.\nAnswer: y**(40\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/15 (b) 1\/2 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*x**4 - 114*x**3 + 213*x**2 + 204*x - 108 = 0. What is x?\nAnswer: -9, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 11*n. Let t(k) be the first derivative of -20*k**3\/3 - k**2 + 814. Determine t(v(y)).\nAnswer: -2420*y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 33*l**2 + 44*l + 83. Is o(32) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 8*g**2 + g + 9. Let i be k(-4). Suppose -2*c = 3*l - 14, -2*c = -i*l - 0*l + 2. Solve c*s + 1 - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-204)\/(-54) + 4\/18. Let n = 8 + d. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -196 + 345. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 6, 7, -2, -27, -74, -149?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8395 + -12864895.999\nAnswer: -12856500.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 30280468.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1.3, 0.74 in descending order.\nAnswer: 0.74, -1.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 17. Suppose -2*v + 245 = -0*v + 5*w, 535 = c*v + w. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -3*8\/10)*-5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1 (c) 3\/22 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*d = -261 - 7, 3*c - 209 = 5*d. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 28733.55 kilometers?\nAnswer: 28733550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6052 and 37\/30005.\nAnswer: 10681780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*n + 26*n + 15*n**4 - 11*n - 21 + 26 - n**2 in the form k*n + r*n**4 + x*n**2 + s*n**3 + v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 10*r**2 - 2*r + 1. Let j be y(8). Suppose -j = -2*u - 31. Let f = -24 + u. Solve 0 = -4*v - w - 25, -3*w - f = 5*v + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or 266037?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*p = 275, -5*p + 575 = 15*a - 13*a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (82 + -76)*(2 - (-1686)\/4)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 13*k**2 - 10*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -275*i - 63464. What is r(-231)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1455431 + 26?\nAnswer: -1455403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 3\/5, -329, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 125\/(-35) + 3 + 520\/273. Let s = -5 - -9. Let g = -14 + s. Sort -1\/3, v, g.\nAnswer: g, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9884, 16 in decreasing order.\nAnswer: 16, -2, -9884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/7)\/r*r)\/r)**(-5\/9)\/(r**(-1))**(-30))\/((r**(-1\/2))**25\/(r*(r*(r**(1\/2)\/r*r*r)\/r)\/r)**44) assuming r is positive.\nAnswer: r**(689\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133\/5619 or 2\/33?\nAnswer: 133\/5619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)\/((-1)\/3). Suppose -102 = -5*g + f*g. Calculate the remainder when g is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135\/10)\/((24\/56)\/(24\/(-28))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9896)\/(-48) + 2\/(-12). Let n = -85 + s. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366320?\nAnswer: 2, 5, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 - 1. Let t = 4416 + -4415. Let l(v) = v**2. Suppose 0*b - 6 = 2*b. Determine b*l(f) + t*r(f).\nAnswer: 3*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -887, -1347, -1829, -2339, -2883, -3467, -4097?\nAnswer: -4779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.4. Let l(j) be the second derivative of -j**4\/12 + 2*j**3\/3 + 2*j**2 - 10*j. Let d be l(5). Which is the nearest to d? (a) o (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16323 - 3900 = 291*o + 458*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7816992 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 6*m**2 + m - 4. Let j = 11 - 5. Let a be r(j). Suppose a*l - 63 = 9. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088256*b**3 + 366575*b**3 + 823831*b**3.\nAnswer: 2278662*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 32264\nAnswer: 5\/32264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120212212012 (base 3) to base 9.\nAnswer: 3525765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (7 - (6 - 4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -24. Suppose 5*f - 9 = a. Suppose -z - f = -2*z. Solve -z = -2*b - 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 166113038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 83695 and 46693.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 31*g**2 + 141*g - 7. What is d(35)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, -4, 0.2, -2, -659, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -56. Let o = -6 - a. Suppose 0 = 4*t - 11 - 13. Calculate the smallest common multiple of o and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-750 - -744) + (36 - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649270749.\nAnswer: 3, 17, 23, 553513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1540*n + 663*n - 739*n - 2126*n - 61*n. Let a(w) = w**2. Determine k(a(i)).\nAnswer: -3803*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -266 + 179. Let h = z - -127. Solve 2*l + 6*l = -h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*p**4 - 607 + 607)*(0 - 1 + 5).\nAnswer: -176*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 185\/9, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdol when four letters picked without replacement from laolvhdvloal?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6)*(-3)\/8. Let b = -1\/33477 + 3723\/111590. Put 5, b, q in descending order.\nAnswer: 5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**3 + 4*o**2 + 5*o + 5. Let w(c) = c**3 - 37*c**2 + 39*c - 102. Let h be w(36). Let n(r) = 5*r**3 + 5*r**2 + 6*r + 6. Give h*f(k) - 5*n(k).\nAnswer: -k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 + 20*o - 2. Let a be m(7). Let q be (-2)\/a + 3961\/(-45). Let b = 87 + q. What is the common denominator of b and 71\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3578256 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f**3 + 50*f**2 + 16*f + 1. What is k(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 661 = -5*j, -d - 25 = -j + 107. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 6. Suppose n*t - 11 = 2*r, 5*r + 3*t - 8*t + 35 = 0. What are the prime factors of 43\/((-36)\/r - 4)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-8 + 10 + 10 + -13)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 20*y**2 + 52*y + 171. Let l be k(-22). What is the biggest value in -20, -6, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1985800 divided by 397160.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 12 = -3, 0 = 2*n - 5*j - 23. Let h(s) = s + 5. Let g be h(-4). Solve 0 = n*y + g + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -43. Suppose s - 8 = a. What is the highest common factor of a and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (16 - (0 + 7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1034, 2074, 3110, 4142?\n\"Answer: -2*v**2 + 1046*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -2. Let m = v + 239. Let r = 5714\/21 - m. What is the third biggest value in 2, r, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357\/(-49) - (-15)\/420*8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142813 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4273?\nAnswer: 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*f**2*o**4 + 33*f**2*o + f*o - 2*o wrt o?\nAnswer: -624*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-595560)\/(-147))\/((-19)\/(-133)).\nAnswer: 2, 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23034, 179928, 605768, 1435026, 2802174, 4841684, 7688028?\nAnswer: 11475678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let r(o) = 1908052*o**2. Calculate q(r(b)).\nAnswer: 3640662434704*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.95233 to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -28. Suppose 2*f = f + q. Suppose 5*j - 11 - 4 = -5*a, -4*j = 0. What is the highest common factor of f and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58.2 + 74. Let m = 4.8 - q. Let r = m - -10.999757. What is r rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*h**3 - 389*h**3 + 28*h**3 + 0*h**3 - 5*h**3 - h**3 + (-2*h + 2*h**2 + 2*h)*(-5*h + 0*h + 3*h) to the form p + u*h**2 + d*h**3 + w*h and give d.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*i**2 + 52*i**2 - 35*i**4 + 82*i**2 - 100*i - 19*i**2 + 15*i**5 + 20 + i**2 - 35*i**3 = 0 for i.\nAnswer: -2, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - o - 3*d + 11, 0 = 5*o - 5*d + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247492581 divided by -161.\nAnswer: 1537221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1346\/34401 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z**3 - 2 + 0*z**2 + 1\/4*z**4 - 3*z. What is the derivative of q(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3383, -4564, -5745?\n\"Answer: -1181*y - 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*f - 1. Suppose -z = -f*z. Let g = 1 - -1. Solve z*r + g*r - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:46 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2847 by -13.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*d = -4*u + 8, 0 = -u + 3*d + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58356 and 1116?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 397340.7ml?\nAnswer: 397.3407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 18. Let x = -48\/11 + 299\/66. Which is the third biggest value? (a) x (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3493 = 418*b + 948 + 11443 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2964828040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 7534?\nAnswer: -1\/7534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + 0 + (-13 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2. Suppose -4*b + 5*q = -17, 7*b - 10 = 2*b - 5*q. Let d(h) = b*h - 2*h - 3*h. Determine d(i(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d + 1. Let y be m(1). Let x(k) = k**2 - 6*k - 5. Let r be x(7). Let z be (2\/2)\/(r\/4). Which is the nearest to 0.1? (a) -0.4 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1 (c) -5 (d) -2\/5 (e) 1015 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 6. Let t be (-16)\/(-12) + -2 + u. Which is the second smallest value? (a) 0.2 (b) -3\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 4*v**2 + 2*v - 3. Does 19 divide p(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 4*q**2 + 4 + q - q**2)*(-2 + 2 + 4*q).\nAnswer: 4*q**3 + 4*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 10*i - 26 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let x = d + 2. Let v be 1*((-4)\/(-14))\/(-2). What is the nearest to 1 in -0.2, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -1 + (-197 - -195)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 38440158 to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*n - 121*n + 230*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o + 7. Let z = -8 + 1. Let i(t) = -6 + 0 + 1 + 2*t. Let a be (2 - 3)\/(2\/10). Calculate a*r(b) + z*i(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 285831443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.842197 + -11.4275999. Let z = 0.60241 + q. Let d = -0.017 + z. Round d to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -44*x**2 - 212*x + 1610. What is u(-9)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from {k: 18, q: 2}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 - 3*l - 8. Let n be g(6). Let t be n\/6 + 3 + 2. Let o = 22 - 87\/4. Which is the closest to t? (a) -3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 80, -3, -1370 in increasing order.\nAnswer: -1370, -4, -3, -1, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -40, -5, 414, 0 in descending order.\nAnswer: 414, 0, -3, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/60 + 25*c**4\/24 + 58*c**3\/3 + 45*c**2 + 6*c + 1. Give b(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -893 - -905. Solve -4*a - o = 0, -2*w - 5*a + 3*a - 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7477807.\nAnswer: 17, 61, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 + 284\/(-16). Let y = f - -47. Let r be (4 - 6 - -4) + y. Calculate the greatest common divisor of 128 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**2\/2 - 5*w - 244. Let k(a) = -a**2 + 3*a**2 - 4*a**2. Give x(k(y)).\nAnswer: -2*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 62 = -17. Solve 2*w + y = 11*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, 281, 308, 375, 482, 629?\nAnswer: 816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 1417499?\nAnswer: -1417499.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -702?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 178083.\nAnswer: -178083.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215765726 by 2.\nAnswer: -107882863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2422*z**3 + 2 - 4556*z**3 + 0*z + 2171*z**3 + 0*z.\nAnswer: 37*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*i - 2587*i - 168326 - 154475 = 2465 for i.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 4. Let u = y + 9. Let m = -10 - -16. Solve -4*p - g + 0 = -m, 0 = u*p - 3*g - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 152?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 4 - 96*u - 6 + 0.\nAnswer: -94*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)\/b*b**(2\/9)*b**(-3)\/b**(2\/15)*(b**(2\/3))**(-13\/5)*b*b**9*b*b\/b**(-5)*b assuming b is positive.\nAnswer: b**(1067\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.091, -0.5, -8, 113, 4\/9 in descending order.\nAnswer: 113, 4\/9, -0.091, -0.5, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llalfaaeeflle. Give prob of sequence ll.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2178 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxnznzzuwz. What is prob of picking 2 w and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -19. Let r = z - -20. Suppose -m - 1 = -r*m. Solve -m = -3*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -5*a + 74. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 24*y**2 - 27*y**2 - 17*y**2.\nAnswer: -20*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 + 825 = -141*v - 1062 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5, -3*z - 5*v + 7 = -z. What is the tens digit of ((-204)\/18)\/((-4)\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6271*a + 0 - 1 + 1.\nAnswer: -6271*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 42*z - 1018. Determine f(62).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j, -4*j + 17 + 17 = -2*o. Let h be o\/(-1 + 4) - -7. Suppose -27*s**3 - 2*s**h + 8*s**5 + 13*s**3 - 4*s**5 + 12*s**3 = 0. Calculate s.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20844 and 1103381.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-4 - -2)*-1. What is the remainder when 6 is divided by -1*(-1 + -2 - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 35. Suppose -3*n - n = -z. Suppose -3*r - n = -46. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 4*i**4\/3 - 1022*i. Let v(r) be the third derivative of 0 + 0*r**4 + 0*r**3 - 3*r**2 + 1\/60*r**5 + 0*r. What is v(d(t))?\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(288)*1 - sqrt(288) - sqrt(288))*3)\/(((sqrt(90) + (sqrt(90) - (sqrt(90)*-2 + sqrt(90))))*-2)\/(sqrt(10) + sqrt(90)\/(sqrt(9)*1) + sqrt(10)))*3.\nAnswer: -108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12475 by 499.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3953949.\nAnswer: 3, 563, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 2193?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q + 23. Let i(r) = 4*r**2 - 24*r - 184. Let j(v) = -8*f(v) - i(v). Let n(t) = 899*t. What is n(j(c))?\nAnswer: -10788*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -110, -233, -368, -515?\n\"Answer: -6*l**2 - 105*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509877558 by 18.\nAnswer: -28326531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 6*p**2 + 2*p + 5. Let a(o) = 9*o + 1. Let l be a(2). Let b = 5748 + -5773. Let v = l + b. Calculate m(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -936 = 3658*t - 3619*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 21, 20, 1 in descending order.\nAnswer: 21, 20, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 27. Is 3\/2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (209\/57)\/(2\/114)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q. Let l(c) be the third derivative of 0*c + q - 1\/24*c**4 - c**2 + 0*c**3. Let s(t) = -t**2. Calculate s(l(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 7*x - 8. Let k be (-3)\/1 - -1 - -9. Let q be t(k). Is (-9)\/36 - 834\/q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Suppose -m*k = -k + 52. What is the units digit of (14 + k)*(-56)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millisecond in microseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-239*d + 1665 - 1665)*(2*d**2 - d**2 + 0*d**2 + (-4*d + 0*d + 2*d)*(0 - d + 0)).\nAnswer: -717*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 35. Is v less than 18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + 2*b + 3*b)*(26 - 108 - 3 - 55) in the form a*b + k and give a.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14822, 14816, 14808, 14798, 14786, 14772?\n\"Answer: -h**2 - 3*h + 14826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1277.7 - -1277.691684. Round j to 4 dps.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30014221 + -2?\nAnswer: -30014223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 6*h + h)*(2 + 4 - 5)*((3*h - 2*h + 0*h)*(2 + 0 - 1) - 1 + 2*h + 1 + 3 - h - 3).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4823.6551 + -765.\nAnswer: -5588.6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p*p**(6\/11)))\/p**(2\/19))\/(p**0*p**(1\/4)))\/((p**(1\/14)*p*p\/p**(5\/4)*p)\/(p*p**(-8)*p**(-2\/3)*p)) assuming p is positive.\nAnswer: p**(-64859\/8778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19055578 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 - -63. Let z = -128.432 - m. Let w = -0.298 + z. What is w rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+0.7257659\nAnswer: 0.6557659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -3, -1\/7, -596, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**3 + 2*k - 2. Let y be z(1). Solve x = -2*o + 2, -o + 0*x - 6 = y*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -1975?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -20. Suppose 182 = -q*f + 616. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkzrxkmkk. What is prob of sequence rk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -6. Let o = s + -2. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2, 6, -0.3.\nAnswer: -2, -0.3, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 53*x**2 - 47*x. Let z be m(52). Suppose 3*i + 12 = 0, 4*a - i - 106 = 3*a. Let h = z - a. List the prime factors of h.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 592423 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + -17)\/((-2)\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 9 = -4*k - y, 2*y = -3*k + 28. Solve 0*n - 3*n = -k, 3*j - 5*n - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 57*d - 85. Let v be i(27). What is the nearest to 28 in 5, -1\/4, 0.1, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 722 - 745. Let k(s) = 3*s**2 + 5*s - 195. What is the tens digit of k(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (434*z - 138 + 173 - 449*z - 4*z**2)*(-3*z + 0 - 2 + 2*z).\nAnswer: 4*z**3 + 23*z**2 - 5*z - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7344.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*n - i - 18, -2*i + 40 = 5*n. Suppose n*q - 24 = 84. What is the highest common factor of q and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1145 + -1135. What is the greatest common factor of 550 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10103 (base 4) to base 14.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -461\/9 - -51. Let q = -927 + 927.4. What is the nearest to v in -2\/13, -4, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 10*m + 112)*(62 - 42 - 38).\nAnswer: -180*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, f: 9, p: 2, h: 3}. What is prob of picking 2 s and 2 h?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23046 + -22992. What is the third smallest value in 3\/2, -2\/99, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (1 + -17 + 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221.46574 + 2.55874. Let l = 219 + k. What is l rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*n = 48, 0 = -2*n - 13 + 5. Let m = -29 - g. Let w = 390.2 + -390. Which is the closest to m? (a) w (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25954 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2. Let l(y) be the second derivative of -y**6\/720 + 8*y**4\/3 - 32*y. Let m(j) be the third derivative of l(j). Determine m(p(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18109104 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5102 - 5106. What is the closest to v in -3\/2, 0.1, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-18)\/(-106)))\/(8\/22*43945\/(-47940)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**5\/9 + 29884*x**4\/9 - 2568578*x**3 + 130152240*x**2 - 51650136*x = 0. What is x?\nAnswer: 0, 2\/5, 54, 1467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Find the second derivative of -3*m + 3*m**u - 3*m**4 - 11*m**5 + 2*m**5 wrt m.\nAnswer: -180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 889893585?\nAnswer: 3, 5, 7, 53, 151, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:04 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153008 and 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 340 = -348 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137033576?\nAnswer: 2, 47, 364451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31\/2 - -23. Calculate the common denominator of -10\/3 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/55*((-20)\/(-6))\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(405)*-2 + sqrt(5)) + ((sqrt(6292)*-2)\/sqrt(4))**2 - -3*(sqrt(78)*-2*-1)\/((-5*-2*sqrt(6) - sqrt(6)) + sqrt(6)).\nAnswer: 46*sqrt(13)\/85 + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 699, 721, 741, 759, 775, 789, 801?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15*a - 10. Give x(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 8*c**2 + 15*c - 5. Let a be r(6). Solve 4 = 4*i - 8, -4*z - i = a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 + 1 + -7 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 - -200. Factor 2*w**3 - w**4 - 15*w - v*w + 36*w - w**2.\nAnswer: -w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 9, 225*s + r = 230*s - 150382. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 9:36 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 22 = -13*q - 2*r, -4*q - r - 28 = 0. Sort 0, 1, q, -26 in descending order.\nAnswer: 1, 0, q, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let q(d) = -6*d + 4. Let v(p) = -p**2 + 7*p - 5. Suppose -3*o = -5*o. Suppose o*u - 21 = -3*u. Let w be v(u). Determine w*y(i) - q(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 82.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**3 + 56*s**2 - 364*s + 304 = 0 for s.\nAnswer: -19, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298120031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 1 - 6\/(-3). Let t be 5*(2\/r)\/(-1). Suppose 2*l - 14 = -5*l. Calculate the highest common divisor of t and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194771407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -18. Let c = -33105.4860013 + 33124.486. Let z = g + c. What is z rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 2*j**2 + 3*j + 2. Let o(h) = 1 - 6*h + 2*h + h**3 - 1 - 1 + 3*h**2. Let z(y) = 2*k(y) + 3*o(y). Let v be z(-6). Solve 0 = -g - 4 + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 187*b - 5018. Determine l(34).\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 5 = -5*s - 14, 0 = 4*z - s - 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -701 or -703?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by -54.\nAnswer: 37\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23302233132 + 2?\nAnswer: -23302233130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 4*m + 5. Let u be g(-6). Calculate the greatest common factor of u and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 1. Let w(n) = 3*n - 3. Let m(a) = 5*u(a) + w(a). Let g = -1 - -1. Let z = g - 7. Give m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 3*j**2 - 5*j - 4. Let h be x(-4). Suppose 2*s + 5*a = -0*s + 783, h = -3*s - 2*a + 1202. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 2)*(-56)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from ykkddyydyykdddkydydy.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1186315005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.497998 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 27. Suppose -2*t - 3*k + 1 = 0, 4*k + 7 + 7 = 5*t. Suppose 0*n + 5 = n. Solve -n*s = -t*s, -i + 3*s = -v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.162555924 to four dps.\nAnswer: -0.1626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -187, -485, -735, -781, -467, 363, 1865, 4195?\n\"Answer: 26*v**3 - 132*v**2 - 84*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254015 is divided by 624?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 less than or equal to 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20480*w - 20461*w - 760 = 0 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 - 2*r**2 + r. Give c(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > 559\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*s**6 + 71*s**5 - 4*s**3 - 188*s**2 - 5*s + 2 wrt s.\nAnswer: -2040*s**3 + 4260*s**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.007 - 0.023. What is the nearest to f in 4\/3, -3, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278 = -3*j + 3*d - 266, 0 = -2*j - 15*d - 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 11*g**2 - 9*g - 5. Let t be h(10). Let n be 0*-1*(2 - 1). Sort t, n, 1 in decreasing order.\nAnswer: t, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 571 + -580. Which is the nearest to 1\/2? (a) r (b) -4 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1519*v + 33180 + 23023 = 0 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2. Let w(j) = 3479544*j. Determine f(w(a)).\nAnswer: -12107226447936*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g - 6. Let q be k(-8). Let i = 374\/37 + -6457\/518. Calculate the common denominator of i and q*(107\/4 - 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3712 = -m. Let r = m - -7465\/4. Calculate the common denominator of r and -151\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + (sqrt(637) - (sqrt(637)*-2 + -1)) + 0 + sqrt(637)*2 + sqrt(637) + 2 + -4*(sqrt(637) + -4))**2.\nAnswer: 616*sqrt(13) + 3032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4204*m - 4216. Let u(x) = 97. Let a(q) = -b(q) - 3*u(q). Differentiate a(c) with respect to c.\nAnswer: 4204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 21*r**4\/8 - 423*r**3\/4 + 10593*r**2\/8 - 9843*r\/2 + 2601\/2 = 0.\nAnswer: 2\/7, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11490 - -11488. What is the closest to 8 in f, 0.1, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 36 = 12*w, 6*g + 63 = 9*g - 0*g + 18 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 40. What is the third derivative of -j*q**2 - 1959*q**3 + 1963*q**3 + 12*q**2 wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-46)\/8)*8\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3139736 divided by 7\nAnswer: 3139736\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 18*t - 17. Let q be u(13). Suppose -5*o + q = -o. Calculate the greatest common divisor of 72 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = -1188 + 1287 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2970)\/660*(2\/(-2))\/(-3)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6293027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 0 + 9*y - 1\/12*y**4 + 0*y**3 + 0*y**2. Let c(j) = -8*j**2. Determine c(u(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 172, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g - 53*g + 74 = 0. What is the lowest common multiple of g and 620?\nAnswer: 22940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5280760877 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: Is 49443827649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 2, -45 in ascending order.\nAnswer: -45, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 7*l + 17. Let a be b(7). Suppose -a + 5 = -3*v. Suppose -112 = -0*i - v*i. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (100 - 100 + 41*o)*(1 - 1 + 1)*(-2 + 5 - 4)*(0 - 2 + 0) as r + c*o and give c.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2960.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2711.57745 - 0.07745. Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -11*v**6\/2 - 19*v**4\/12 - v**2\/2 - 212*v - 2. What is the third derivative of l(m) wrt m?\nAnswer: -3960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397236076 to the power of 1\/2, to the nearest integer?\nAnswer: 19931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + 0 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.02, -8, 1902, 0.4, -3 in increasing order.\nAnswer: -8, -3, -3\/4, 0.02, 0.4, 1902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*b - 215*b - 8190 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23363061*c**2*y**4 - 4*c**2*y + 66*c**2 + 418276*c*y wrt y?\nAnswer: -280356732*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**5 + 485\/3*g**3 - 660*g**2 + 55\/2*g**4 - 10 + 720*g. Factor j(u).\nAnswer: 5*(u - 1)**2*(u + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x**4 - 15*x**4 - 2*x**4 - 9*x wrt x.\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 a factor of 804308022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1215 in -3, 0, -4.96?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/144*168\/63\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Let l be (-14)\/(0 - -2) - (9 - 17). Suppose -4*p + 26 = 2. Solve j + d*j + 4*h = -p, h = l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(18 + (-2875)\/150).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 16626\nAnswer: -3\/5542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 3, 2\/5, -7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -8*j + 12*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*s - 9 = 0, 0*s = -v + s + 3. Suppose -3 + 13 = -2*n, n + 50 = v*y. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.4 + 40. Let l = 13 - j. Let g = 0.9 + 0.1. What is the third smallest value in l, g, -1\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0848 + -0.5958. Let o = 0.511 + p. Let w = 2.1 + -2. What is the closest to o in 1\/6, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/33331657 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453528 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2808*p + 4 = -2809*p - 23, -2*p - 6 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828341 is divided by 828258.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(22\/9)\/(u**35\/u) assuming u is positive.\nAnswer: u**(-284\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 - 2*o + 91. Let w(t) = -2*t**2 + 2. Calculate -n(v) - 3*w(v).\nAnswer: 2*v**2 + 2*v - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0510284 rounded to 4 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1791836\/5 + 356868. Let q = f + 1490. Find the common denominator of q and -21\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 9*c - 12 = 0. Let k(t) be the second derivative of 0 + 1\/6*t**c - 1\/6*t**4 - t + 1\/42*t**7 + 1\/2*t**2 - 1\/10*t**5 + 1\/30*t**6. Factor k(d).\nAnswer: (d - 1)**2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * 15\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 175868*p. Let q(d) = -d. What is q(i(b))?\nAnswer: -175868*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 779178.\nAnswer: -77917.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = -5*a + 3580. Let c = -174 + a. Solve -c*y = 32 - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(((b\/(b**(2\/3)\/b))\/b)\/b*b)*(b\/b**2)\/b*b*b*b**(-1\/3))\/((b\/b**(-2))\/b**(2\/7))**(-24\/11) assuming b is positive.\nAnswer: b**(2659\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -41501255\nAnswer: -1\/8300251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(720)*-1*2 + (6*sqrt(50)\/sqrt(2))\/(-2*sqrt(5)*-2).\nAnswer: 195*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 6162004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3950840 and 34569850?\nAnswer: 138279400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w + 56. Let r be s(-9). Suppose 8*h - 4*h - 48 = -3*f, -2*f + 44 = 4*h. Solve 3 - h = -r*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -54 (b) -11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from sdxdx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19143 - 16517. Is p a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 186 = j - 0*j, 4*j = 4. Let t(o) = o**2 + o - 10. Let q be t(-7). Let f = q + -19. What is the remainder when p is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8455 and 2720091870?\nAnswer: 8455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136 divided by -4?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*5\/(20\/(-12)). Suppose 2*u + 29 = 3*j - q*u, -4*j - u + 31 = 0. Let b be ((-2)\/4)\/((-2)\/20). Solve 4*k - 4*n + n - j = 0, 2*k = -b*n + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6157 - -8812. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52\/465 + 1502\/5115. Let a be (-30)\/50 + 2\/(-10). What is the fourth biggest value in -3\/2, u, 5, a?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 2*o**3\/3 + o**2\/2 - o. Let m be 1\/(2 - 10\/2 - -2). What is t(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-7 - -2) - (1 + 2). Solve k = -3*o - i - 0*i - 8, -5*o + 3*i + 10 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 4. Let j = -11 + r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -2205\/4 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2077404 and 28\/3.\nAnswer: 2077404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/30)\/((-14)\/70). What is the third smallest value in b, -0.02, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*f + 54*f - 81 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 15. Let p be y(7). Let a = 9 + p. Calculate the remainder when 26 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7392 by -352.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 819395235 to the power of 1\/4, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -304*g - 64. Let z(t) = -304*t - 45. Calculate -2*h(i) + 3*z(i).\nAnswer: -304*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 986500?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1182 = 4*l - 7*l. Suppose 0*d + l = 5*o + 4*d, -2*d = o - 80. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3962175 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2\/5 (b) -0.4 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 1 + 3*t - 2*t + 0. Suppose 0 = 5*v - 49 + 14. Calculate the least common multiple of i(v) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*3*1\/2. Let t be 2 + 0\/(-1) + z. Let j(l) = -l + 20. Let i be j(0). What is the highest common factor of t and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*w = -0*n + 30, -n - 3*w = 11. Let v = 3 + -1. Let m = v + -4. Which is the closest to 1\/3? (a) -0.1 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, t: 1, p: 1, o: 3, e: 2, l: 3}. Give prob of sequence ls.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -v - 1. Let b(y) = -2*y**3 - 5*y**2 + 2*y. Let h be b(v). Calculate the greatest common divisor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + u + 10*u**2 - 3*u - 6*u. Let d(h) = -3*h**2 + 4*h. Calculate -11*d(o) - 4*w(o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 2*r + 14*r - 17.\nAnswer: 12*r + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 5860*g**2 + 2195168*g + 35643968.\nAnswer: 4*(g + 17)*(g + 724)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from qqqqqqsqqqqqqqqqsq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 625*x - 1130*x - 1 - 1146*x as s*x + l and give s.\nAnswer: -1651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1340810220 - -5?\nAnswer: 1340810225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202200 (base 3) to base 10.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4569 + 4413.95. Let t = -160 - x. Round t to one dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyysyypypss. What is prob of picking 2 p and 1 y?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -22. What is the common denominator of 137\/6 and (k\/8)\/(78\/(-46) - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(208\/(-2112)) + -31?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7661376 (base 9) in base 3?\nAnswer: -21202001102120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -38. Let k = j - -39. Solve -3*r + k = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/3 + q**2 - 2*q - 14. Let a(s) be the first derivative of s**3\/3 + 1. Determine -2*a(i) - k(i).\nAnswer: 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, u: 5}. What is prob of sequence zuuu?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 676*d**2 - 29548*d - 82668.\nAnswer: -4*(d + 3)*(d + 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 662914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11301203*n**3 + 2371*n**2 - 2*n + 1848?\nAnswer: 67807218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsfu when four letters picked without replacement from {u: 1, s: 6, r: 1, f: 2, e: 1, v: 5}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 6*a**2 - 5*a - 8. Suppose 3*i = 6*i + 18. Let o be m(i). Let c = -19 + o. Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3. Factor -2*x**4 - m + 7*x**4 - 6*x**4 + 2*x**2.\nAnswer: -(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153951560181 + 153951560181 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8937386 is divided by 371?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 + 14?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 641 - 968. Let k = 1228692.9719 + -1229020. Let q = k - i. What is q rounded to 3 dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 19\/20*w**5 + 0 + 0*w**4 + 0*w**3 - 37\/2*w**2 + 97*w. Differentiate v(y) wrt y.\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-7) - 2\/(-7). Suppose 0*v - a*v + 170 = -4*z, z = 5*v - 434. What are the prime factors of v?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/5 - p**4\/12 + 4*p**2 - 11*p. Let m(y) be the first derivative of i(y). What is the second derivative of m(v) wrt v?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (34 + 17)\/(1\/1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*126\/28. What is the nearest to 1 in 0.3, n, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -3670\/3, -0.15, -219 in descending order.\nAnswer: -0.15, -2\/11, -219, -3670\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 15. Let z be 14\/q + 4\/6. Let c = z + 12. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 118*n + 21. Let v(z) = 24*z - 3. Let r(s) = -2*i(s) + 11*v(s). Calculate r(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4658*b**3 + 2757*b**2 wrt b?\nAnswer: -27948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1884\/(-21) - (6\/21 + 0). Let k = o + 84. Let p(m) = -m. Let z(s) = 5*s - 12. Let i(n) = -6*p(n) - z(n). What is i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15400 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/461 - 24449\/1844. Let q = j + 45\/2. Calculate the common denominator of q and -37\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13236 divided by 2206?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-12) - (4 - (49 + -46))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 3*k - 8. Let n(v) = 16*v**2 + 9*v + 40. Let f(o) = n(o) + 5*x(o). Let w(a) = 21*a**2 - 5*a. Give 5*f(y) - 6*w(y).\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 27 = 213. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*j*s - 2*c*s - 9*c - 32810*j*s - 24*s + 15 with respect to j.\nAnswer: -2*c*s - 32810*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -37*j - 22. Suppose -4*x - 35 = 5. What are the prime factors of s(x)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 163*j\/3 + 110.\nAnswer: -(j - 165)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u = -547667 - 42013. Does 54 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 20 = 36, 2*u - 11*x = -10*x + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107110 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 21 + -14 + 3 + (0 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 2*n**3 - 3*n**3 + (4 + 3 - 5)*(18*n**3 + 12*n**3 - 17*n**3).\nAnswer: 25*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -28*x**3 + 6*x**2 + 6*x - 1. Let c(a) = -28*a**3 + 7*a**2 + 7*a - 1. Suppose -208*y - 66 = -219*y. Determine y*c(b) - 7*d(b).\nAnswer: 28*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)*b*b**0*(b**(-2\/9))**(2\/13))**(-9\/2) assuming b is positive.\nAnswer: b**(1057\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 107834 (base 9) to base 5\nAnswer: 4033311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2305708 and 26208.\nAnswer: -2279500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184658121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 1:46 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/416 and -19\/14976.\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 412 - -5?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 l when four letters picked without replacement from {s: 1, d: 2, x: 1, c: 4, l: 3, p: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + b - 432. What is the smallest common multiple of 14 and b?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*(2 + sqrt(288) + 2 - ((sqrt(288) - (sqrt(288) + 0))*-5 - sqrt(288))) + -4) + -2 + -1)**2.\nAnswer: 1248*sqrt(2) + 4777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 4*n + 14, 0 = 3*q - 2*n - 21. What is the remainder when 12 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiioouqiiozn. What is prob of picking 1 q and 1 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6437 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1723711\/72 + 23942. What is the common denominator of i and 109\/((3 - 2)*-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/20 and 55\/8856.\nAnswer: 44280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13552\/(-352)*(-12)\/(-33).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p + 388 = 0. What is the remainder when p is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 248*q - 246*q + 4*x, -q = -4*x + 2. Solve 0 = q*n + 174 - 172 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 179180 and 465.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(234)\/sqrt(6))\/sqrt(3) - sqrt(13)) + sqrt(13) + sqrt(1053) + (sqrt(1053)*3)**2.\nAnswer: 9*sqrt(13) + 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111112010101 (base 3) in base 14?\nAnswer: -6d008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/9)\/((-35)\/21).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*h = 7857 + 966 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44111020 (base 5) to base 11.\nAnswer: -239731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1691080, -3382253, -5073422, -6764587, -8455748?\n\"Answer: 2*f**2 - 1691179*f + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u**3 - 25*u**3 + 15*u**3 + 12*u**3 + u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -443, -2248, -5235, -9404?\n\"Answer: -591*q**2 - 32*q + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39461010 divided by 6.\nAnswer: -6576835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13, 27, 49, 79, 117, 163, 217?\n\"Answer: 4*s**2 + 2*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**2*x**6 - 11*b**2*x + 12*b*x**2 + 2*b - 4*x**6 + 3*x**3 wrt x?\nAnswer: 120*b**2*x**3 - 480*x**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92900224 and 18986?\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296\/(-10)*(-29180)\/(-23344).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 11 + 2 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -9. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/90 + 261\/189?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1, -13125, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - sqrt(4)*-1*-4)\/(sqrt(288)*2) - 5*(sqrt(48)\/sqrt(8)*-6)\/sqrt(3).\nAnswer: 239*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*g + 2*y, -g - 5*y = -30. Suppose 2*s - 10 = 2*q + 4*s, -5*s + g = -5*q. Which is the biggest value? (a) 1 (b) q (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 53531*n + 1659460. Calculate j(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - sqrt(245)*-3) + 1 + (-5 + -2*sqrt(245))**2.\nAnswer: 168*sqrt(5) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-6)*-3*(-123)\/(-205). Solve -4*v = -z + 5, -2 = -5*v - z + d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040363 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1*b*b*b\/b**17 assuming b is positive.\nAnswer: b**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 16*g + 13. Let l(p) = p**2 + 17*p - 13. Let d(j) = 3*l(j) + 2*r(j). What is the units digit of d(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d, -y + 641 = 2*d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451555739.\nAnswer: 127, 3555557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 382?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1822003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*l + 9*n - 4*n, 2*l = -3*n + 17. Let j(v) = -2*v + 0 - 1 - l. What is the remainder when 27 is divided by j(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73869 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1, 1\/10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + (-15)\/7)*7. Suppose -5*f = -44 - c. Suppose q = f*q - 36. Solve -4*k - 2*w + 4 = 0, -10 + q = -4*k - w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -505 * -26.\nAnswer: 13130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -6. Suppose 203*b - 24 = 195*b. Is b\/o*4328\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(150)\/(sqrt(45)\/sqrt(81)))\/((2*sqrt(294) + sqrt(294) + (sqrt(6) - (sqrt(18)\/sqrt(3) + sqrt(6)))*6)*5).\nAnswer: 4*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47300335*i**3*s**3 - i**3*s - 2*i**3 + 25*i**2*s + 14*i**2 - 2*i*s - 2*s**3 - 23*s wrt s?\nAnswer: -283802010*i**3*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 20 = -f - 5*p, -26 = -2*f + 3*p. Does 16 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxnchxnzc. What is prob of sequence cxc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850652439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 1, k: 1, w: 2, u: 7, p: 2}. What is prob of picking 1 u and 1 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8992232477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from kkkjfkekgkkgkgkfk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = 23*b + 630778 - 2783896. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7079 - 5268 = 286*i + 2709 - 2472 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**3 + 4*k**3 - 2*k**3)*(0 + 0 - 2*k) + (-2*k + 0*k + k)*(-4 - 3*k**3 + 4) + 9*k**4 + 21*k - 21*k to v*k**2 + y*k + u*k**4 + b + w*k**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -159, -141, -105, -45, 45, 171, 339?\n\"Answer: n**3 + 3*n**2 + 2*n - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 6*r**2 + 6*r - 3. Let j be o(-7). Suppose 5*c = 1 + j. Let n = c + 0. What is the closest to n in 0.4, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633678227 to the power of 1\/2, to the nearest integer?\nAnswer: 40419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, z: 4, p: 6, u: 3, j: 3}. Give prob of picking 1 p, 2 z, and 1 j.\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57*((-6)\/(-4))\/((-18)\/12). Suppose 0 = -2*r - 2*z - 12, -4*z + 7*z + 19 = -4*r. Put 1, l, r in increasing order.\nAnswer: l, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 8*n - 9. Let y be ((-10)\/(-3))\/(2425\/150 + -17). Determine g(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**2 - 373840*g + 6987817280 = 0?\nAnswer: 37384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o. Let a(j) = -16941*j - 21. Let p(l) = 11288*l + 15. Let z(w) = -5*a(w) - 7*p(w). Calculate u(z(i)).\nAnswer: 5689*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.48? (a) -52.4 (b) 3\/2 (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -22. Let n(k) = 4*k - 1. Calculate n(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + (164 - 163)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 7*s - 35. Let c(x) = -7*x**2 + 15. Let r(m) = 15*m**2 + m - 31. Let b(g) = 13*c(g) + 6*r(g). Let y be b(s). Solve -y*t - 2 = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -32*q + 10*q. Let i(m) be the first derivative of m**3\/3 + 3*m**2\/2 - 2*m - 1. Give i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*a - 12, 4*l = -2*a + 13 + 11. Suppose 9 = l*t - 11. Suppose 9 = t*m - 91. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/180)\/((-1)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -489*u + 423.\nAnswer: -489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (2 - (-8)\/20). Which is the closest to -7? (a) y (b) -0.1 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 34, 36, 38, 40?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70 + 9700?\nAnswer: 9630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64118156.\nAnswer: 2, 16029539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 785543 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**7\/2520 + j**4\/12 + j. Let p(f) be the third derivative of i(f). Let g(l) = -6 + 6 - 2*l. Calculate g(p(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 870 + 7265*j + 322 - 6647*j wrt j.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g + 424. Let s be (-205918)\/435*(-6)\/g. Let v = -2\/1537 - s. Calculate the common denominator of -47\/14 and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -1\/6, -4, -3, -2\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*q**2 - 391*b - 57180*q**2 - 20*q + 5820 wrt q?\nAnswer: -2*b*q - 114360*q - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r - 3. Let l be i(-3). Let p be (-10 - 2)\/(0 + -2). Suppose -2*b - 2*t + p = -4*t, 3*b = -t + l. Solve -k - b = 3*k - s, -k - 5*s = -15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let r = -962 + 1515. Let w = 555 - r. Solve -w*z = -o*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -861, -874, -911, -984, -1105, -1286, -1539, -1876?\n\"Answer: -2*u**3 + u - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppfpmmmpqmp. Give prob of sequence mqmp.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 = a. Suppose 0 = 5*t - 4 + 24, 0 = -a*s - 2*t - 368. Is 2\/(-3)*s\/16 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4781 - 1168 + 14393*i - 3673 + 1334 - 3964 with respect to i.\nAnswer: 14393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) -157892 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34368 + 19*j**3 - 68734 + 34366.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135363 (base 7) in base 4?\nAnswer: 12110331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**6\/6 - 7*z**2 + 39. Find the second derivative of f(b) wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*g - 2*g**4 - 105*g**3 - 1 + 104*g**3 + 0*g**2 + 0*g**2 in the form q*g**2 + i + s*g**3 + n*g + o*g**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17945066 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 - -45218247817.\nAnswer: 45218247817.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2 + 0*l + 2*l**2 - 2*l - 4 + 3*l. What is m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41261507 to the power of 1\/3, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1573618276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21780 = 4*p + 5*p. Let y = -1388 + p. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 3:42 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + o**2 + o + 1. Let k(y) = -y**3 + y**2 - y + 1. Let r(v) = 4*v**3 - 5*v**2 - 3. Let i(x) = 4*k(x) + 2*r(x). What is -i(c) - 2*s(c)?\nAnswer: -2*c**3 + 4*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146474 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (2*sqrt(6050) - sqrt(6050)) + sqrt(50) + (sqrt(400)*-2)\/sqrt(8))\/(4*sqrt(160)\/sqrt(4)).\nAnswer: 11*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1743.\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-15))\/(-5)*(-9)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 925*k + 774 - 258 - 259 + 990*k - 257 - 1917*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 30477.14 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -148*a. Let j(z) = -105*z - 3. What is n(j(h))?\nAnswer: 15540*h + 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:11 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i. Let l(g) = g**3 - g + 2. Let s be l(i). Find the third derivative of -11*d**s - 14*d**4 + 8*d**4 + 4*d**2 wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -2 - (17 + -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-4)\/(-1) + 4). What is the units digit of (x - -9)*46\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*g**2*q + b**2*q - 18*b*g*q - b*q - 1076*g**2*q - 2*q - 2 wrt g?\nAnswer: 4*b**2*q - 2152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.7652 litres to millilitres.\nAnswer: 883765.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 68914, 69085, 69368, 69763, 70270, 70889?\n\"Answer: 56*i**2 + 3*i + 68855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/17 + 28606*k\/17.\nAnswer: -2*k*(k - 14303)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108918?\nAnswer: 2, 3, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 110 - 5?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85\/2 - -44. Let z = -377 - -381. Put v, -2\/23, z, -0.5 in descending order.\nAnswer: z, v, -2\/23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 - 3*x**2 + 0*x**2)*(-78*x**2 + 17*x**2 - 83*x**2) to the form b + n*x**3 + v*x**4 + c*x**2 + m*x and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.8 and 525856.\nAnswer: 525858.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 369\/8, 2213?\nAnswer: 369\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 10, 2\/3 in descending order.\nAnswer: 10, 1, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/(16544\/60))\/((-24)\/(-192))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**5\/30 + 7*n**4\/24 - 43*n**3\/6 + 10*n**2 - 5*n. Let c be z(-13). What is the greatest common factor of c and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 7*r**4\/12 - 5*r**3\/2 - 2*r**2 - 35. Calculate the remainder when 49 is divided by l(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4514 + 8.510296261?\nAnswer: -4505.489703739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -6. Let g = y - -3.3. What is the nearest to -2 in 4, g, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64)\/10*(65\/2)\/(-13). Let i(h) = -9*h + 146. Let g be i(x). Suppose 5 = -3*m + 20. Solve g*a = -5*w + 2, 6*a = -4*w + a + m for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18 and 22 + -1216948*(-22)\/(-1217040).\nAnswer: 41490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*i - 558*i - 2310 = -772 + 4402 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208, -210, -212, -214, -216?\n\"Answer: -2*y - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3792, 7577, 11362, 15147, 18932?\n\"Answer: 3785*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -8*q + 22. Let g(s) = -781818*s + 2. Let m be g(q). Round m to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803937 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04087 to three dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q - 2. Let t be w(-4). Suppose -4*x = -5*z + 47, t + 9 = 4*z + 3*x. Let g(f) = 13*f - 6. Calculate the remainder when g(3) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176562 and 837804.\nAnswer: 42728004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(2*1\/(-37)) is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1009268.057631 and 19?\nAnswer: 1009287.057631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Suppose -18 = -3*f + k, -2*f - 4*k + 0 - q = 0. Solve f*z = 15 - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**10))*v*v**(-17)*v assuming v is positive.\nAnswer: v**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 - 659*c - 54523. Let i be a(398). Suppose 2*p - 21 + 7 = 0. Let u be 1 - 2\/(4\/(-2)). Solve 3*z - u*y = -p*y - 8, -i*y = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9459.642 litres?\nAnswer: 9459642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/135 in 4, 3, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/69732 and -71\/657?\nAnswer: 5090436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 211\/((-2532)\/(-90))*4\/(1*(-5)\/8)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, -47 = 5*q + 5*h + 403. Let y = q - -105. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17.3 - -17.99. Let d = 32.19 - 32. Let g = d - y. What is the closest to 0.1 in g, 0.13, -1\/8?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 1446363.\nAnswer: -44\/1446363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76994 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 1 - 1 + (0 + 0 - 3*m)*(2*m + m - 7*m) - 3 + 13*m**2 + 3)*(3 - 3 + 2)*(4 - 2 - 3) + (2*m + 0*m + 0*m)*(-5*m + 2*m + 2*m) + 3*m - 3*m - 2*m**2.\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/(-6) - 1\/(-2). What is the highest common factor of 24 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r**(-2\/7))\/(((r*r*r**2)\/r)\/((r\/(r*r*r\/(r\/r**(-2\/3)*r)))\/r))*(r**(-1\/4))**(-2\/19)\/(r**2\/(r*r**(-3\/4))) assuming r is positive.\nAnswer: r**(-6019\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*x + 154 = -73*x - 230. Let r = -2 - -3. What is the greatest common divisor of x and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 49 - 415 = 0. Suppose 6*i - 2*i + 5*q - 193 = 0, -i + 2*q + r = 0. What is the highest common factor of 104 and i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {x: 1, h: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -2\/11 (c) -5 (d) 2\/5 (e) -556 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280 - 290) + (-72)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-1\/7))*a*a\/a**(-1\/4))\/(a*a**(-2\/5)*a)**(2\/11) assuming a is positive.\nAnswer: a**(2797\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 42*w + 17 - 11.\nAnswer: 42*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 12:04 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z = -47*z + 89 + 4. Which is bigger: 2\/14433 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 9:22 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1638 by -40.\nAnswer: 819\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8*-1*(-27 + 7). Let a(k) = 46*k**2 - 8*k - 9. Let c be a(s). Let h = c + -564. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 5. Let i(n) = 6 + 6 + 10 - 25. Determine 5*i(m) - 2*r(m).\nAnswer: 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -64*b**5\/5 - 640*b**4 + 141612*b**3\/5 + 143786*b**2\/5 + 45142*b\/5 + 4524\/5 = 0.\nAnswer: -78, -1\/2, -1\/4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 5*w**2 + 3. Let v be m(-1). Let n be (-4)\/14 - 135\/(-350). Let y = n - -7\/10. Is y greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156330 and 1024830?\nAnswer: 9223470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 6. Let c be b(-10). Let l(k) be the first derivative of 0*k**2 + 0*k - 1 + 2\/3*k**3 + 3\/4*k**c. Find the third derivative of l(n) wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/7 + 436*i**4\/7 + 11086*i**3\/7 = 0. What is i?\nAnswer: -23, 0, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 262407?\nAnswer: 1049628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 13*t + 1314 = 0. Let v = t + -186. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 p, and 1 m when four letters picked without replacement from {v: 1, p: 2, m: 1, x: 1, l: 1, h: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**3 - 6*i**2 - 48*i - 8. Is o(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354620569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + 147. Let i be f\/24*(-4)\/65. Put 3, 0.3, i in ascending order.\nAnswer: i, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 12*b - 12. Let w be x(-13). Put 0, w, 4 in descending order.\nAnswer: 4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21032 - 19526 + 37668)*(-3*h**4 + 0*h**4 + h**4) as s*h**2 + y + x*h + z*h**4 + r*h**3 and give z.\nAnswer: 5780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-3)\/(-18)*(-51)\/(-17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-36)\/(-15))\/((-1)\/(-3)))\/(6\/15). Solve 319*t = 317*t - x for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541106 times -4?\nAnswer: -2164424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.32655 - 0.07345. What is the nearest to 4\/11 in 5, s, 0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372021253 to the power of 1\/2, to the nearest integer?\nAnswer: 37041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165.953 + 0.047. Let g = t - 165.99999678. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 + 22*g - 42. Let f be l(4). Suppose 0 = -2*n + 13 + 15. What is the greatest common factor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*z**3 - 59*z**3 + 4*z**3 - 18 - 20 wrt z.\nAnswer: -117*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/((30\/18)\/5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 2}. Give prob of picking 1 v and 3 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x + 4. Determine b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 52*v. Let y(r) = r - 1. Give -x(k) + 3*y(k).\nAnswer: 2*k**2 + 55*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x. Suppose -3*l - 2*f = 1 - 14, -20 = -4*f. Let z(c) = 1. Let v = -3 - -4. Let t(g) = -2*g - 1. Let k(y) = l*t(y) + v*z(y). What is q(k(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 a, and 1 e when three letters picked without replacement from eeylaeeyanea.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 41690953.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 + -7.7. Put -1, 1, j in descending order.\nAnswer: 1, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -53, 8, -2, 4, 3, -3 in ascending order.\nAnswer: -53, -45, -3, -2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29836 by -7459.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1536286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = x - 4*h, x - 6*x = 2*h - 2663. Let g = -4969 + 5028. Calculate the highest common divisor of x and g.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/15 + (-14 - -7) - (-168)\/(-390).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -5, 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13875746 and 1218.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003969925 to 6 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 13 - (1 + 8) - (-2 - -20).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007943522 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 22.\nAnswer: 13\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43a2b3 (base 12) to base 9.\nAnswer: -2017850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -853238 (base 9) to base 6\nAnswer: -14513525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8875723 is divided by 3250.\nAnswer: 3223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(17974\/(-57))\/43?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2 - -2 - 2). Differentiate q*z + 4 - 5*z**3 - 5 + 0*z with respect to z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2.18, 0, 1, -18361?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 5. Let p be ((-3)\/2)\/(n\/(-16)). Let h(c) = -3*c + 3*c - 4 - c. Let f(d) = d + 5. Calculate p*h(x) - 5*f(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*19\/((-209)\/(-44)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(-1*(-18)\/(-10)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. Let z = 0 - 0. Let d be ((-2)\/(-27))\/(4*2\/24). What is the nearest to z in d, b, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -54*t - 9. Let v be l(-2). Find the second derivative of -92*q - 254*q**3 - 30*q**3 + v*q - 8 wrt q.\nAnswer: -1704*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/21*1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8098\/5 - -32279\/20. Suppose -2*c = -0*f + 2*f + 14, -5*f - c - 27 = 0. What is the common denominator of (1620\/32)\/f - 0 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23042 - -41440?\nAnswer: 120032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 314 and 9634?\nAnswer: 1512538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11574847\/42 + -275617. Let u = -149\/6 - l. What is k in 24\/7 + u*k**2 + 20\/7*k = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2062*b**3 + 171154*b**2 - 169748*b + 656 = 0 for b.\nAnswer: 4\/1031, 1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 + (185 + -96 - 86).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnf when three letters picked without replacement from {n: 2, k: 1, r: 1, w: 1, o: 1, f: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d02 + -2e7?\nAnswer: -3fe9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1020 + 1008 + -2 + 46\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 20*a. Let g be r(1). Suppose 5*j - 29 = 4*m, -6*m + g = -m. What is the greatest common factor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764844398?\nAnswer: 2, 1487, 257177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/1092 and 83\/4732.\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:00 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 2 - 1 + 3*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4 = 3*i, -2 = -v - 3*i + 5*i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 233, 458, 673, 872, 1049, 1198?\n\"Answer: -w**3 + w**2 + 229*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*((sqrt(250)*-1 + sqrt(250) - sqrt(250)) + sqrt(250))*-2)\/(sqrt(405) + (sqrt(405) + sqrt(405) + sqrt(405)*3 - sqrt(405)) + sqrt(20)\/sqrt(16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19\/60 - -1\/12. Let j = 13 + -16. What is the smallest value in n, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 9437*m**2 + 1 - 9129*m**2 + 18264*m**2 to w*m**2 + a*m + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {x: 1, u: 9, k: 4, p: 3, f: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3054 by -509.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v + 20*v - 4*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4*p - p + (-3 + 1 + 3)*(0 + p + 0) + 2*p - 2*p + 2*p + p + p + 0*p + p + p - 3*p)*(-7*p + 69*p - 21*p)*(-2*p + p**2 + 2*p).\nAnswer: 205*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*y = -6, y = -5*b + 55 - 1. Solve -54 = 16*p + b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*(l*l\/((l\/l**3)\/l))\/l)*l)\/l)\/l)\/(l\/((l*l**(-2\/7))\/l*l)))\/((l**1\/l)\/l)**(1\/2) assuming l is positive.\nAnswer: l**(-67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/3759 and 13\/5375.\nAnswer: 20204625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**4*p - 175339*d**3*p**2 - 9*d**3 + 4*d**2*p**2 - d**2*p + 1308*d**2 + 12*d*p - 74*p + 2 wrt d.\nAnswer: -144*d*p - 1052034*p**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - (-20)\/4)*-18. Let p = g - -18. Let m be 0\/(5 - (3 - p)). Solve -9 = -m*l - 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 98 = -3*q, z = q + 242 - 224. Let g = -94 + 132. Calculate the smallest common multiple of g and z.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/2 - (-14)\/28. Suppose g = m + 4*m - f, -5*g - 5*m + 25 = 0. Solve 4*a = 3*c, g*c + 3*c - 23 = -a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w**2 + w + 3. Let r be l(0). Suppose -49 = -r*y + 50. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 1275.02985.\nAnswer: 1287.02985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, -32.9, -3, -0.4, -19 in descending order.\nAnswer: 3, -0.1, -0.4, -3, -19, -32.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16025.\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from zzzzzzzzzjzjz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 36 + 2*r**2 - 4*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssn when three letters picked without replacement from {d: 2, e: 1, s: 2, v: 1, n: 4, i: 5}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/21))\/(((l*l\/(l*l\/(l\/(((l**(3\/5)\/l)\/l*l*l*l*l)\/l))*l)*l)\/l)\/l))**(-30))**2 assuming l is positive.\nAnswer: l**(-1552\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*o + 3 = -280*o + 111 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11*c - 202. Let o be q(22). Let z be 17\/(o\/(-25)*-2 - 3). Calculate the greatest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*sqrt(1331)*1)**2 + -1*(2*(sqrt(1100) + 3*sqrt(1100)) + sqrt(1100) + sqrt(1100))**2.\nAnswer: -76720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11367 (base 10) to base 13\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/15 (b) 18 (c) -6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 0, 18*y = 22*y + 2*k + 3*k - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 3*m + 4. Let z(i) = -5*i + 14. Let q(k) = k. Let g(w) = -6*q(w) - z(w). Let c be g(-11). Determine u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 11*l + 3*o + 8 = 0, -2*l = o + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(3)*3.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*c + 13*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, c: 1, f: 5}. Give prob of picking 1 f and 1 i.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = l + 3*g + 52, 5*g = l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*y**3 - 4*y**2 + 147*y**3 + 5 - 4 - 4*y to n + z*y**2 + u*y**3 + s*y and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) 5 (c) -0.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*k = 20, -3*c + 2*c + 15 = 3*k. Suppose 5*v = -3*u - 5 + 40, c = -5*v - 2*u + 40. What is the least common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10104021433343 - 4?\nAnswer: 10104021433334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 10:18 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/5, -134, -2, 2\/45, 4, 0.3, 31?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 + 7 = -2*o, -4*u + 20 = 2*o. Solve -15 = u*q - 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -277 - -275. Let f(i) = -i**2 + 10*i - 3. Let o(n) = 4*n**2 - 40*n + 12. Let j(h) = p*o(h) - 9*f(h). Calculate j(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*j - 291, 3*u = -3*j + 61 + 338. Suppose 4*b - 50 - u = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 + 9*b + 7. Let n(m) = 11*m**2 - 18*m - 15. Calculate -13*g(j) - 6*n(j).\nAnswer: -j**2 - 9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14*(-2)\/(12\/(-9)). Is (-7)\/(n\/(-6)) - -55 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1081 - 4.1081. Let b = 50 - 451\/9. Let f = 38 - 38. What is the nearest to f in 2\/41, u, b?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -69, -2\/15, -12\/89?\nAnswer: -12\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/2))**(-7\/3))**(-1\/6) assuming q is positive.\nAnswer: q**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by -6.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 38394?\nAnswer: 383940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1447825 + 5?\nAnswer: -1447820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -122, -153, -198, -257, -330?\n\"Answer: -7*s**2 - 10*s - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 15. Let r be z(-9). Suppose -2*o = -126 - 6. Let m = o - 63. Solve -q - r*q - 9 = -m*h, -h = q - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 16 = 3*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4390002672?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11578 in -1\/4, -128, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*1*1\/2. Let d be (1\/(-2))\/(r\/(-10)). Which is the second smallest value? (a) 3 (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -17*w**2. Let k(p) be the third derivative of -p**4\/4 + 17*p**2 + 2. Give k(n(s)).\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1334)\/116*(1\/(21\/6))\/(13\/91).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70848981*j**5 + 1210*j**2 + 13982 wrt j?\nAnswer: 4250938860*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2, -13, 86 in decreasing order.\nAnswer: 86, 5, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**18*s**(-6\/11))**(-36) assuming s is positive.\nAnswer: s**(-7308\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18*(3 - (-7)\/(-2)). Let i be 336\/2 - 0\/(-2). Suppose 5*s - j*s = -i. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22977 divided by -129?\nAnswer: 7659\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 7*t + 9. Let i = -8 + 11. Suppose -p - 14 = 2*u - i, -2*p + 34 = -4*u. What is the units digit of k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -72, -1 in increasing order.\nAnswer: -72, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11967377.93 rounded to the nearest 10000?\nAnswer: 11970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 1. Let o be u(2). Suppose -o*b + 6 = -66. Suppose 2*s = -2*s + b. Solve 5*i = 15, -s*q + 3*q = 4*i + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 at least as big as 408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:35 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*x + 940*x - 587*x = -436 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/105 and -43\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**11\/110880 + b**10\/50400 + b**9\/10080 - 23*b**5\/60 + 5*b**2. Let i(t) be the third derivative of y(t). Factor i(g).\nAnswer: -3*g**3*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35532 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -1165*p**2 + 13411490*p - 115120 = 0.\nAnswer: 2\/233, 11512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 857648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -252, -510, -788, -1086, -1404, -1742?\n\"Answer: -10*q**2 - 228*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) -6 (c) -403 (d) -0.3 (e) 5 (f) 0.03 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -12669b?\nAnswer: 12669d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + 14\/(-6). Let q = -5 - v. Let u be ((-1)\/2)\/(1 + q). Is u at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226.7 + 242. Let z = -5 + -10. Let u = z + g. Which is the nearest to 1? (a) 0.5 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000577811 rounded to five decimal places?\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -8\/64393?\nAnswer: -8\/64393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (36 + 1)\/(4\/(20\/15) - 2). Solve -p + 46 = -9*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 629, 633, 647, 677, 729, 809, 923, 1077?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 304 = 319 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -12, 11, 46, 93, 152?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152167587 is divided by 1231.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/3 + 4012*b**2 - 428904*b.\nAnswer: -4*b*(b - 2898)*(b - 111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733*z**3 - 1440*z**3 + 706*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5576149*v**6 - 6*v**3 + 212192268*v**2 wrt v.\nAnswer: -669137880*v**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/105 and -211\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6658771451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25201751?\nAnswer: 2113, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 28 + 182. Let i be (1*-9)\/(p\/(-20)). Suppose 0 = 4*o - a + 30, -o - 3*a - 13 = -i*a. Let u(j) = -j. Give u(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let j(l) = -465*l + 329. Determine j(d(q)).\nAnswer: 930*q + 329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*g + 2*r - 0, 0 = 5*g + r - 11. Suppose h + g*m - 97 - 24 = 0, 4*m - 524 = -4*h. What is the remainder when h is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {e: 1, n: 2, a: 2, h: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2 = 3*b, 0 = -5*b + b + 16. Let k(j) = -47 + 53 - t*j + 0*j - j + 2*j**2. What is k(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Let w(o) = -o + 35. Let i be w(13). Suppose -23 = v - i. Which is the closest to -1\/4? (a) l (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1. Let x(z) = -19*z - 18. Let g be 3 - ((-6)\/(-15))\/(4\/20). Let c(f) = g*x(f) - 6*v(f). What is the remainder when c(-9) is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12794 - 4856 - 20682 = 518*r for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -6, 424, 117, 1, -10.\nAnswer: -10, -6, -2, 1, 3, 117, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 15*o - 34*o + (1 + 0 - 3)*(o + 2*o - 5*o) - 3 + 3 - o)*(o - 4*o + 2*o) as w*o + b*o**2 + t and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(1\/4)))**(4\/5))**(-50) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-48)\/(-126).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-796)\/10)\/((-14)\/35)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-18 - -20) + (-4 + 7 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 900.4522l?\nAnswer: 900452.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 15*f**2 - 118*f + 90. What is a(20)?\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**3 + 2*v**2 - v. Let a be i(1). Let p(n) = -5*n - 7*n + 22*n + 667*n**2 - 666*n**2 - 5*n. Let k(x) = -x - 1. What is a*k(g) + p(g)?\nAnswer: g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/70 + 2*b**4\/21 - 5*b**3\/21 + 2*b + 22. Factor c(z).\nAnswer: 2*z*(z - 1)*(z + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -170, -184, -224, -302, -430, -620, -884, -1234?\n\"Answer: -2*x**3 - x**2 + 3*x - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010010010101 + -10?\nAnswer: -101010010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -b + 4*b. Suppose b*c = 5*c. Suppose c = v - 18 + 6. What is the greatest common factor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024064251 rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1320462 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o - 38*o + 15 = 0. Suppose -2*p = -o*b + 943 - 233, -2*p + 10 = 0. Suppose 5*f = -z + 967 - 220, -f = 2*z - b. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 0*d + 24 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5\/4)\/r*(r\/r**(1\/4))\/r*r*r*r**4*r\/(r*r**(-1\/3)) assuming r is positive.\nAnswer: r**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 16) to base 10\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*sqrt(19)*4 + 4.\nAnswer: -32*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a factor of 3810756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2052*f + 323. Let h(a) = -19*a + 3. Suppose -4*j - 350*p + 352*p = 2594, -j - 656 = -2*p. What is j*h(q) + 6*r(q)?\nAnswer: -38*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9434*k**2. Let g(r) = -51*r**2. Give -2*a(l) + 371*g(l).\nAnswer: -53*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1431645 (base 9) to base 15.\nAnswer: -1089bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -1351*w**5\/10 - 47*w**4\/3 + w**3\/2 + w**2 + 37*w + 46. What is the third derivative of x(l) wrt l?\nAnswer: -16212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 94*b + 470. Let f be j(-5). Solve -5*i = -15*i - f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - b + 2*b + 296 = 0, 1169 = 4*a - b. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 4 = -i. Let v(m) = 0 + m**i + 1 - 3. Let u = -5438 - -5438. Calculate v(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22000020122 + 102211?\nAnswer: 22000200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.494969 hours in minutes?\nAnswer: 449.69814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3393 and -47\/33?\nAnswer: 37323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/4? (a) 1 (b) 1.1 (c) 6\/5 (d) 7.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 184, 0, -4, -56, -201 in decreasing order.\nAnswer: 184, 0, -4, -56, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 12:18 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 5*d**2 - 7*d + 0 - 1\/6*d**3. Suppose -4*p = -2*p. Calculate y(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203218811 to the power of 1\/2, to the nearest integer?\nAnswer: 14255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 2*i. Suppose 5*t - i*p - 27 = 2*t, 5*t + p - 45 = 0. Calculate the smallest common multiple of (-6)\/9 - (-17)\/3 and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/41)\/u**(-1\/3))\/(u\/((u*u**(-2\/5)\/u)\/u))**(-8))**(-4\/9) assuming u is positive.\nAnswer: u**(-48172\/5535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1246 (base 7) to base 13.\nAnswer: 2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104720 rounded to the nearest one thousand?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.23759 millilitres in litres?\nAnswer: 0.01323759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 23. Calculate the remainder when (18\/15)\/1*(-600)\/(-16) is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 15 + 1 - 9 - 2*f**2 - 3 + 107*f as h + m*f + x*f**2 and give m.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -250, -244, -232, -214, -190, -160, -124?\n\"Answer: 3*f**2 - 3*f - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q - 93952 = 762*q + 604*q for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*h + 7*h - 23 = 0, -4*k = 5*h - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 + 9*l + 1. Give k(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 8243040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10875 + -1*(15\/5 - 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 14*m + 6. Suppose 20*n - 9 = 21*n - h, -2*n - 5*h - 32 = 0. Calculate y(n).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-2 + 3 - 3). Let k be (b\/3)\/(4\/24). What is the first derivative of 11 - k*w**3 - 5*w**3 + 5*w**3 - 13 wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**5\/35 - s**4\/7 + 29*s**3\/21 - 12*s**2\/7 - 6224. Factor y(z).\nAnswer: -z*(z - 3)*(z - 1)*(z + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40815, -326470, -1101819, -2611710, -5100991?\nAnswer: -8814510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 94. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 28. Let r be q(-14). Is r < 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1 - -8 - (-21 + 13)) + 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aptphpppaaphahttpt. What is prob of picking 2 a and 1 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*u - 4*k + 134, 0 = 3*u + 5*k + 51 - 1 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23900343559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 15 - 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -4*q, 0 = -179*z + 175*z + 5*q + 20. Suppose -5*s + 2*k + 7542 = 0, k = z*s + 4*k - 7537. What is the highest common divisor of 52 and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 2. Suppose 2*h - 2 = 2. Let r(f) = 9*f - 208. Let c be r(29). Let a(j) = 48 - 2*j + 16*j - 90 + c. Determine h*a(m) + 11*l(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128, 17, 2, -2, 12389 in decreasing order.\nAnswer: 12389, 17, 2, -2, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43335\/3852*8\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1162\/56 + -21)*(-1)\/(-3 - -2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1*(1 + sqrt(325) - sqrt(325)))**2 + -5 + sqrt(325) + 1) + -4 + 1)*-3.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267663 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516712 is divided by 2640?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3603, -7210, -10817?\n\"Answer: -3607*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lzmr when four letters picked without replacement from lzamrao.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -39. Let v = -4 + w. Let h be 4\/v - 6\/21. Solve -3*d + 16 = 5*m, 2*d + 5*m = -h*d + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 11*u - 6. Let a be x(11). Let l(m) = 2*m**2 + 9*m - 23. Let t(y) = -y**2 - 5*y + 11. Let j(i) = 3*l(i) + 5*t(i). Does 2 divide j(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 + 4 = 0. Let s be 20\/(1 + l) - 2. Suppose 292 = s*y - 47. Is y a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1060*p + 18*p + 14 - 7 - 61*p.\nAnswer: -1103*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.5, -2\/17, 2.5, 3\/7, 5, -1\/20?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - 6 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2739.461 millilitres in litres?\nAnswer: 2.739461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6*-45\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(-1*sqrt(1536))\/(2*sqrt(392)))**2*-1.\nAnswer: 4800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100010 (base 2) in base 8?\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d + d + d. Let n(c) = -6 - 1 - c + 7. Determine n(x(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iliilimbbimmb. Give prob of picking 1 b, 1 i, and 1 l.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 829950 and 660?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:46 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 - 7.15. Let r = -5.2 - t. Let k = 3.8 - r. Which is the closest to 1\/2? (a) -0.5 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1838 - 1332. Is s at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20081 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 494*u**3 + 1464*u**2.\nAnswer: 2*u**2*(u + 3)*(u + 244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 1024*q**2\/3.\nAnswer: q**2*(q - 1024)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.10072 - 15027\nAnswer: -15026.89928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17183261867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let w(f) = -6*f - 1. Let v be w(-1). Let t(s) = -5 + 3*s + v. Determine t(m(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/120 + v**5\/15 - v**4\/6 + v**3\/2 - v**2. Let s be k(-5). Is s less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -37 + 11 + -75 + 29.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*c - 8100 - 12760, 4*d - 27823 = 3*c. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**4 - 23478*x**3 - 47511423*x**2 - 6114197208*x + 6161732112 = 0. What is x?\nAnswer: -3844, -139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1690 and 260.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 5*b**2 + 5*b + 83. Let z(c) = 3*c**3 - 8*c**2 + 8*c + 124. What is 8*v(t) - 5*z(t)?\nAnswer: t**3 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/42 - (-40)\/7. Suppose j*h + 9 = 3*h. Let n = 16 - h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/8)\/(-1) + (-185)\/(-20). Suppose -3*h = -4*h + i. What is the remainder when 127\/5 + 6\/(-15) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -856, -897, -936, -973?\n\"Answer: g**2 - 44*g - 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 35 = -3*i. Suppose 2*d = -0*d + i. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9892105 = -5*v + 24892105. Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 51. Calculate d(-9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -362 + 338. What is the least common multiple of (-13)\/(39\/(-90)) - p and 52?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 25 = 3*x - m, -4*x + 16 = -m. Suppose j - 3*j - 880 = -x*h, 0 = j - 4. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 19*d + d + 2 to the form x + w*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 4*g + 7, -6*g - 14 = 2*t - 4*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -g + 7, 6 = d + 3*d + 2*g. Let h be (-6)\/3 + 1 + d. Sort 4, h, -3 in decreasing order.\nAnswer: 4, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 4*n - 78. Suppose 3*u + 77 = -2*z, -167 = 5*z - 0*z - u. Let d = n + z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66907 or -66908?\nAnswer: -66908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -304\/11*r**2 - 2\/11*r**3 - 1022*r + 2156.\nAnswer: -2*(r - 2)*(r + 77)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, j: 5, x: 1, b: 1}. Give prob of sequence bk.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/20 + s**4 - 17*s**3\/6 + 2*s**2 - 17*s. Let p be h(-13). Calculate the highest common divisor of 28 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**4 + 31*v**2 + 25*v - 1 wrt v?\nAnswer: 12*v**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2294\/17 - 135. Let p = 5 - 2. Suppose -6*v - 17 = -p*v + 4*g, 4*v - 3*g = 19. Is h at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117051983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 23504351?\nAnswer: 23504347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/114 equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = -507. Let j = p + 679\/4. Let a = -0.04 - -0.34. What is the second biggest value in -3, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - (-2 + -3) - (-1 - 4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 51*n = -3*w - 169*n + 3658, 8*w - 13*w + 5*n - 155 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 110*j**2 - 15*j - 73. Let o = -541 + 535. Is f(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340*-12\nAnswer: -4080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12289 is divided by 6112?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-4)*8\/(-48)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/15101?\nAnswer: 2\/15101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 8*d + 4. Let n = 13 - 7. Let h be i(n). Suppose h = 3*v - 4*l, 2*l - 2 = -5*v - 10. Which is the second biggest value? (a) v (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*v - 16 = 596*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*l + 10. Let o = 57 - 55. Let z be (-4 + 2)*5\/o*1. Sort z, l, 1.\nAnswer: l, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15149498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let w(s) = -7550*s. Give r(w(n)).\nAnswer: 22650*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o**2 + 11*o - 6. Let q be p(10). Suppose 0 = 3*x - x - q. Suppose -x = -5*f + 483. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i. Let m(d) = -d - 44931. Calculate m(s(c)).\nAnswer: -c - 44931","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5934.156 micrometers to nanometers.\nAnswer: 5934156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2 - 1 - 3) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 64. Calculate the remainder when 29 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 31, 45 in increasing order.\nAnswer: -5, 7, 31, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z - 80. Let d be 215\/20 + 1\/4. Let c(v) = -2*v**3 + 24*v**2 - 19*v - 9. What is the least common multiple of c(d) and z?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z. Let o(s) be the first derivative of -13*s**2 - 3*s - 3*s + 5*s + s + 175. Determine w(o(l)).\nAnswer: 104*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53470 is divided by 26733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117)*5 + sqrt(117))*-5) + -4 + sqrt(117) + -2.\nAnswer: -6 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - l**3)*(-l**2 + 4*l**2 - l**2) + 0*l**5 - 2*l**5 - 5*l**5 + (0 + 1 - 3)*(0*l**5 + 0*l**5 - l**5).\nAnswer: -7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4852597526.\nAnswer: 2, 7, 346614109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -34. Which is the closest to 0.1? (a) 2\/21 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2 - 51*l**2 + 8 - 43*l**2 - 10*l + 92*l**2. What is y(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13\/4*x**2 - 1\/4*x**4 - 3\/2*x**3 - 3*x - 1.\nAnswer: -(x + 1)**2*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -10, 6, 4, 1 in descending order.\nAnswer: 6, 4, 2, 1, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000925 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**4\/24 - 2*m**3\/3 + 19*m**2. Let w be f(-7). Suppose -2*o = -5*c - 1 + 336, w*o + 275 = 4*c. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849074292 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 - 10*u - 9. Let t = 3 - 9. List the prime factors of x(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 + 100*x**2 - 62 - 30*x**2.\nAnswer: 70*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-55)\/(-4) + (-7)\/(-28). Suppose 5*m = 4*l - s, -3*l + 2*l - 3 = 2*m. Is -2 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -2231?\nAnswer: -22.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11784636 to the power of 1\/2, to the nearest integer?\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 8*f - 14. Let t be u(2). Suppose -4*j - 5*a + 571 = -t*j, 0 = j - 2*a - 290. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 476 + -479. Let q(b) = b**2. Let t(l) = l**3 + 3*l**2. Determine s*q(c) + t(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -515 + 941. Let z = 450 - t. Solve 0 = -4*q + 4*k + z, q + 3*q + k = 19 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwddjjdwddwwwwjww. What is prob of sequence wjww?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 15*h**2. Let n(p) = 648*p - 2. Give n(g(q)).\nAnswer: 9720*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19a498 (base 12) in base 16?\nAnswer: 6eb34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -3 - -12)*39\/65. Suppose -4*d - 10 = -w*d. Solve -4*b - b - 4 = -4*o, 0 = d*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -r - 14. Is (r\/(-7))\/(3\/77) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -60, -97, -150?\n\"Answer: -8*y**2 + 3*y - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103386 >= 310156\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (303\/(-6))\/(4\/24). Let q = y + 298. Let w(i) = 2*i**2 + 8*i + 5. Give w(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73 (base 10) to base 7\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*k + 2077 + 2319 = -409*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + i = -63, 0 = -l - 4*l - 3*i - 69. Let p = 4 - l. Suppose -4*r + 119 = g, 2*r = -0*r - 2*g + 58. What is the remainder when r is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (33 - (-25 - -23))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 476111495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 2*z + 3. Let g(m) = -m + 1. Let u be ((-22)\/(-33))\/(2\/6). Suppose u*f - 8 = l, -2*f = 8*l - 5*l. Calculate l*g(k) + a(k).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 p when four letters picked without replacement from {k: 3, s: 3, p: 1, y: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234\/351)\/(-2*(-1)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/3))\/g)**(1\/43)*(g**(-1))**(-28)*g**(2\/27)*g**(1\/3)*g**(-1\/3)\/g**(-2\/11) assuming g is positive.\nAnswer: g**(360658\/12771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 - 5*w - 5. Let o(v) = 8*v**2 - 6*v - 6. Let s(j) = -6*a(j) + 5*o(j). Let c(y) = 31 - 65 - 37*y + 33. Give s(c(m)).\nAnswer: -2738*m**2 - 148*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -4\/29, -7?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 85, -5, 2\/5 in descending order.\nAnswer: 85, 5, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 709*r**4 - 568*r**4 + 8 - 9 - r**2 in the form i + k*r**4 + q*r + j*r**3 + l*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 4, e: 1, t: 3, b: 2}. What is prob of sequence eb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 75\/39)*-2. Let l = -2 + 1.9. Let o be (-18)\/120 - 3\/5. What is the nearest to l in 5, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -179\/9 in 0.4, -0.4, -5, 58\/27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4755*b - 4770. What is q(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - -5) + 10 + (5 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 27, 2.\nAnswer: -7, -3, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734584 is divided by 258?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*m**2 - 17*m**2 - 16*m**2)*(0 - 1 + 3)*(-7 + 2*m**2 + 7) in the form b + z*m**2 + q*m + r*m**4 + n*m**3 and give r.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 151, 1074, 3317, 7456, 14067, 23726?\n\"Answer: 96*v**3 + 84*v**2 - v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - -154.127. Let q = -0.15 + n. Let f = q - -0.0202. What is f rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32 and -84.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45629.981 + 45601. Let p = u + 0.681. What is p rounded to 0 dps?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0, 2, 37.\nAnswer: -37, 0, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from nrlrl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 479711495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:51 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 28, 4*v = q + 63532 + 14941. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 516 = b - 535, 0 = -3*b + 4*s - 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9096771, -9096769, -9096767, -9096765?\n\"Answer: 2*y - 9096773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06438954 rounded to 5 decimal places?\nAnswer: -0.06439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (22 + -2 - (605 + -639))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 1034 = -83*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o**3 + 27 + o**2 - 4*o**3 + 3*o**3. Let t be 20\/(16\/(-4)) + 5. Determine a(t).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41003, -81953, -122903, -163853?\n\"Answer: -40950*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 744201 (base 8) in base 11?\nAnswer: 15a308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -453.16 or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1249450667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.356 + 0.356. Sort 0, a, -1\/19 in decreasing order.\nAnswer: 0, -1\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1360, 2716, 4072, 5428?\nAnswer: 6784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Suppose -2*n + 31 - 117 = v. Round n to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 - 7566*j = 0.\nAnswer: -2522, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfyfykyfykfk. Give prob of sequence fff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 177, 211, 267, 345, 445, 567?\n\"Answer: 11*n**2 + n + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u + 2. Let o = 22666 - 22658. Let l(g) = 4*g - 6*g + 3*g. Calculate o*l(p) - v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -509*l**5 + 84*l**2 wrt l?\nAnswer: -30540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1847624 + 2084573\nAnswer: 3932197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 2}. Give prob of picking 1 q and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40205?\nAnswer: 5, 11, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-55 + -38 + 90).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 6)*(4*m + 0*m - 2*m + (4*m + 2*m - 5*m)*(0 + 6 - 3) + 0*m + 2*m + 0*m)*(2 - 2 + 2*m).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 5*k**2 - 7*k + 5. Suppose 4*r = -r + 30. Let m be t(r). Do 1\/5 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*k - 7*k. Let v be (8\/(-14) - (-4462)\/679)\/(-7). Which is the smallest value? (a) k (b) 1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**2 + 5*p**2 + 4 - 3*p**3 + 8*p**3.\nAnswer: 5*p**3 - 14*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1753\/84 - -259\/12. What is the nearest to -3 in m, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 24 = c. Suppose l - 7*l = -c. Solve 3*g + 4*j = -l, 5*j - 23 = 5*g + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*k + 160 + 31 = 0, -4*k - 161 = -l. Suppose 5*c - l = -61. Solve -3*z = 3*y - 9, 4*y - c = -5*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*m = -12, 5*m - 3 = -r - 18. Suppose -7*d - 250 + 376 = r. What is the greatest common factor of d and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11197 - 11197.2. What is the third smallest value in 0.2, g, 5, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 1 (c) 7 (d) 5 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, j: 1, m: 1, z: 2, k: 10, n: 1}. What is prob of picking 1 k, 1 n, 1 z, and 1 p?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 90*m + 645. Determine f(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3 - 5484*r**2 - 5478*r + 10964 = 0.\nAnswer: -2741, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120 (base 6) in base 12?\nAnswer: 7a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 minutes before 11:41 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/2 and -131\/342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/3 - 34076*p**2\/3 - 34088*p\/3 + 22720.\nAnswer: 4*(p - 8520)*(p - 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/2 + 2*n**3\/3 - 3*n**2\/2 - 5*n - 389. Determine g(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -310.6464 + 0.0464. Let x = -631.3 - g. Let n = 304 + x. Round n to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 673510*b + 226807860050.\nAnswer: (b - 673510)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r*v**4 - 3*r*v**2 - 2*r + 15*v**3 + 40*v - 6 wrt v?\nAnswer: 12*r*v**2 - 6*r + 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5508, -2, 2.19, 1 in descending order.\nAnswer: 2.19, 1, -2, -5508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53661 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -81519068 >= -81519068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133782?\nAnswer: 2, 3, 11, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 14*w - 140 = 0. What is the units digit of w\/4*(0 - -24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnq when three letters picked without replacement from {n: 2, m: 1, w: 1, q: 11}.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 226965 divided by 2\nAnswer: 226965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - o**2 + o**2)*(-6*o + o + o) + (-3*o**3 + 7 - 7)*(2 - 1 - 3)*(-3 - 11 - 7).\nAnswer: -122*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 54 - 26 - 2*x + (2 - 3 + 2)*(-x + x + x) as u + o*x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 18. Let g be (-1)\/((-1)\/2) - 20. Let p be 2912\/18 - 4\/g. What is the highest common divisor of p and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15221 - 14?\nAnswer: -15235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m - 3*m + 5*m)*(245374*m + 493 - 165 - 169 - 159 + 31637*m) in the form n + x*m + t*m**2 and give t.\nAnswer: 277011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*u - 4*u + 5*n, 3*u + 4*n = -70. Let b = 27 + u. Solve -3*q = 2*r + 4 + b, 0 = -5*q + r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12166.\nAnswer: 2, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 89586*v**3 + 68152 wrt v?\nAnswer: 268758*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*y - 3, 4455 = 5*c - 5*y. Let l = c - 895. Solve r + l*a + 5 = -3*a, 0 = -r + 5*a - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 - 1970*w**4 - 776180*w**3 - 152907460*w**2 - 15061384810*w - 593418561514 = 0.\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let y(f) be the second derivative of -1\/15*f**6 + 0*f**3 + 0*f**2 - 1\/10*f**5 - l*f + 0 + 0*f**4. Factor y(w).\nAnswer: -2*w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.2288 centimeters in kilometers?\nAnswer: 0.000932288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 554 and -17070.\nAnswer: -16516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 64*s + 776. Give v(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 4. Let o be (7 - 8)\/((-2)\/68). Suppose 2*q - o = 28. Calculate the remainder when q is divided by j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l - 5*x + 8, 77*l - 82*l = -2*x + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 155\/(-2)*((-14784)\/(-20))\/12. Let j = -1571 - f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -1546, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -735 and -0.01.\nAnswer: 7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 90667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100165*t**2 + 99704*t**2 - 8*t + 12*t - 4*t - 200442*t**2.\nAnswer: -573*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 102. Let m = j + 114. Let f be 2\/(((-12)\/(-63))\/((-10)\/(-15))). What is the highest common factor of m and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 + 643337?\nAnswer: 643407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -141?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/15 - 74*x**2\/15 - 572*x\/15 - 288\/5 = 0?\nAnswer: -27, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/6 (b) -0.2 (c) 24\/11 (d) 5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t + 2*m = -18, -3*t - 3*m = 18. Let c(d) = -d**3 - 4*d**2 - 3*d - 1. Let k be c(t). Let l be k\/(-12)*(-8)\/3. Is l < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -0*j - j. Let u be (-10 - -2)\/(-2) + 2. Suppose 5*z + 34 = 2*s, -5*s + 120 = -z + u*z. Calculate the greatest common divisor of s and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.077 to three decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 0, -3*t + 10 = 3*f - 26. Suppose 0*i - 3*i + f = 0. Solve -i*m = 3*j - 0 - 6, -3*j = 3*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 5177?\nAnswer: 6\/5177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6367\/47804680 + 1\/79016. Let v = 29613\/53482 + i. What is the common denominator of -157\/30 and v?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13408 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101110 (base 2) in base 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 2*l**2 + 40*l - 67. Let d be m(-9). Solve 0 = -d*v + 1 - 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -9. Let c be (-28)\/(-182) - 2\/q. Suppose c = 3*u + 5*y + 39979 - 10599, -2*y = u + 9792. Round u to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4466399766 divided by -6\nAnswer: -744399961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-6 - -18) + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -274337.6 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 98394870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -1. Factor -5*h**y + 3*h**2 + h + 2*h**3 + 2*h**4 - 3*h.\nAnswer: 2*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/35173294 and 32\/52759941?\nAnswer: 105519882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13963 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:26 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -17. Solve 0 = h*t - 19*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwi when three letters picked without replacement from {w: 2, i: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10600.58 - 10498. Let t = -1.58 + s. Let z = t - 99.82. What is z rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2196 and 1516887?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.53 - 2.17. Let t = l - -15.69. Which is the third biggest value? (a) 5 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**2 - 2 + 2 + (-k - 5*k + 4*k)*(8 - 5*k - 8) - k**2 + 0*k**2 + 4*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 11777 = -7474. What is the highest common factor of d and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 190, -2, -4, 1 in descending order.\nAnswer: 190, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -74635904 rounded to the nearest one hundred thousand?\nAnswer: -74600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*f + 1192 = -3*f, w + 3*f = 232. Let k be (-95)\/((-14)\/(-3 - 11)). Let v = w + k. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0104288 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25950 and 1410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53289 divided by -1719.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2112 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - 4. Let g(x) = 4*x + 5. Give 2*g(o) + 3*m(o).\nAnswer: -7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1131 = r + 1130, -2 = -3*n + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:54 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -2) + (-46 - -59).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccu when four letters picked without replacement from {o: 1, u: 1, b: 1, c: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16760312 + -1?\nAnswer: 16760311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 0.1009942 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2075, 4151, 6227, 8303, 10379, 12455?\n\"Answer: 2076*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*(-7)\/84 + (-27)\/(-164) and -39\/4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13700 is divided by 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 9:04 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 22*x**2 + 4*x - 7. Let i(f) = -5*f**3 + 44*f**2 + 9*f - 15. Give 4*i(h) - 9*q(h).\nAnswer: -2*h**3 - 22*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47822648029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33984399 by -3.\nAnswer: 11328133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -171*u + 872. Let s be o(0). Suppose h + 6 = c, -5*c - 3*h + 2 = -4. Suppose f = -c*f + s. What are the prime factors of f?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990690?\nAnswer: 2, 3, 5, 33023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 2201200?\nAnswer: -2201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from qqqqqqaqqqqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/7, 2\/5, 0.18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*o + 163*o - 35*o + 79*o.\nAnswer: 219*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 29 = -5*i, 4*n + 0*n + 35 = -3*i. Let v = n - -15. Let z = -4344 - -4354. Calculate the greatest common divisor of v and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2. Let p(w) = 62*w - 93. Let g(x) = x - 1. Let i(h) = -93*g(h) + p(h). What is f(i(s))?\nAnswer: 1922*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17824*m**3 - 10299*m**3 - 8255*m**3 - 29726*m**3.\nAnswer: -66104*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11308 less than -11310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.46 and -5\/1748 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llppl. What is prob of sequence lp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 7*s - 2*s. Let y be 1*5 - (-61 + -44). What is the highest common divisor of s and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 59*q - 44*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4496541.\nAnswer: 3, 7, 277, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 times 1160?\nAnswer: 203000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 366, 613, 860, 1101, 1330, 1541, 1728?\n\"Answer: -d**3 + 6*d**2 + 236*d + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37446.2 - 19?\nAnswer: -37465.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7233115 to the nearest integer?\nAnswer: 2689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422 a factor of 8202527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 + -7 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20587316 divided by 5146829?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5103 divided by 729?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 19*w**2\/2 + 140*w - 98. What is the first derivative of n(q) wrt q?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 2*g**2 + 2*g - 1. Give s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 7*m - 1. What is the tens digit of y(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(6) + (sqrt(6) - -3*-1*sqrt(6)))*5)\/(sqrt(363)*-1*2*3).\nAnswer: 5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249.229 rounded to 0 dps?\nAnswer: -1249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75821 is divided by 337?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 112574 + -4?\nAnswer: 112570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 0.05 (c) 17 (d) 1391\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*w**3 + 4*w**4 - 1624 + 1927 - 2*w**4 - 6*w**3 - 9*w**3 with respect to w.\nAnswer: 8*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182767?\nAnswer: 13, 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 178089724517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 915*g + 2738. Determine i(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -3 + -92 + (1 + 0 - 63).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19026829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2. Let q(s) = -s**3 - s**2 + s - 1. Let k be q(1). Let g = -166 + 171. Sort a, k, g.\nAnswer: k, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 10843145\nAnswer: 4\/10843145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/14*-2 + 46310\/154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**4\/4 + 3*n**3 - 4*n**2 - 4. Let o be p(7). Let g = o + -11. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = b - 5*d, -4*b + 286*d = 291*d - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1241402101 (base 5) to base 4.\nAnswer: -23232303030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 18*b - 5. Let i(m) = m**2 - 1. Let v(j) = -j**2 - 9*j - 10. Let o be v(-8). Let c(l) = o*i(l) - s(l). Is 14 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4 and 113\/96624?\nAnswer: 96624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -0.4. Which is the nearest to 1? (a) -1\/2 (b) 5 (c) -0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 5*t = i + 7, 24 = -3*t + 3*i. What is the nearest to -2 in 4, -0.3, t, -13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*b. Suppose -b + 1 = -r. Solve -k - r = 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1001?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*k = -135 - 4800, k = 4*o - 3948. What are the prime factors of o?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 23 = -8*a + 45*l - 61*l, 3*l = 4*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(1\/3))**(-2\/11))**48)**(-5\/3) assuming c is positive.\nAnswer: c**(160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4026884\/175 + 115046\/5. Let y = -7\/25 - h. What is the common denominator of 1\/7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1944) + (sqrt(1944) - sqrt(1944)*1))\/(sqrt(36)\/sqrt(48)) + (5*sqrt(162)*-2 + -5 + sqrt(162)*2)**2.\nAnswer: 756*sqrt(2) + 10393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Suppose 5*t = -3*b + 2*t + 6, -3*b + 8 = 5*t. Let q(d) = -2*d**3 + 7*d**2 + 1. What is b*q(m) - 5*v(m)?\nAnswer: -2*m**3 + 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9047 is divided by 9041.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/30 - (-16)\/10. Suppose -h = z*h. Solve -3*k + 6 = 0, h = -2*t + 3*k - 6*k - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-16 - (-9 + -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (18 - (9 - 0))) + -5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1)\/(10 + -12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245812?\nAnswer: 2, 7, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 18) + (-254 - -251) - (0 - -61)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 16*v + 305. Let n be r(-18). Differentiate -52*u**3 + 239*u**3 + 116 - n wrt u.\nAnswer: 561*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372 - -309914?\nAnswer: 314286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**3 - 12*t**2 + 6*t - 20. Let v(k) = -11*k**3 - 23*k**2 + 13*k - 39. Let p(m) = -13*i(m) + 6*v(m). Let w be p(18). Solve -w = 3*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.15, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 21 = -3*i, 26200*i = -2*x + 26197*i - 19 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4467862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*j = 196*j + 54188. Is j at most as big as -2852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -35.968. Let y = -0.032 + w. Sort -69, 0.5, y in descending order.\nAnswer: 0.5, y, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 11*t**2 + 14*t - 43. Let s be g(10). Let d(m) = -2*m**2 - m + 7. Give d(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222815*h - h**2 - 222815*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6473 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*3805901\nAnswer: 1141770.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2, -q - 4 = -5*q - 4*k. Let g = q + 19. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 27088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2. Suppose 0 = 5*s - 3*c + 2, 0 = s + 3*c - 0 - 14. Let p(q) = 20*q - 20*q - 4*q**s. Calculate p(f(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 8*k + 1. Suppose -2*a - 1 = -23. Let i be s(a). What is the common denominator of (-7)\/(i\/(-6) - 1) and 133\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24209 is divided by 7448.\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 149. Let f = v - -246. List the prime factors of f.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -70, -145, -242, -355?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -108. Let r = o + 4.9. Let v = -53.9 + 54. What is the nearest to r in -4\/7, v, 2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 12) to base 16.\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199737?\nAnswer: 3, 22193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188140.5 rounded to the nearest 1000?\nAnswer: 2188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (60 + (17 - 8) - 24).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*h + 178*h - 717 - 243 + 190 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -976*2\nAnswer: -1952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14874552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 53*g**2 + 197*g - 45. Let m be x(49). Solve 3*w = 6*w - 2*c + 8, 16 = -m*w + 4*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13500052 (base 7) to base 4.\nAnswer: -10303300102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*t + 11 - 174*t**4 + 343*t**3 + 173*t**4 + 7*t wrt t.\nAnswer: -12*t**2 + 2058*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnpo when four letters picked without replacement from {o: 5, n: 3, v: 6, p: 3}.\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6606 divided by 82?\nAnswer: -3303\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7773*f*u**4 + 167669*f*u + 54*u**5 - 1 wrt u.\nAnswer: -93276*f*u**2 + 1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15344345 (base 8) in base 9?\nAnswer: 6562145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:29 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7457 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 907 - 180. Solve -9 = 730*h - j*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001011200111 - -121?\nAnswer: -122001011122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38546094011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-20)*(26450\/644)\/23?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 m when four letters picked without replacement from kmmkkkkkkkkmkkkk?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 132, 279, 416, 543, 660, 767, 864?\n\"Answer: -5*y**2 + 162*y - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22691, -90962, -204745, -364040, -568847?\n\"Answer: -22756*n**2 - 3*n + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 3*w + 17. Let r be h(4). Let s be -5 - -6 - -2*r\/6. Is s at least as big as -3\/164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {o: 3, r: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/((-198)\/24). What is the nearest to -2 in -4\/5, z, 2\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 10, -w + t = -0*t - 8. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184569.\nAnswer: 3, 7, 11, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(7))**2 - sqrt(175)*1.\nAnswer: -5*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 9*f**3 - 13*f**2 + 21*f - 23. Let w be h(10). Suppose 36072 = 5*m + w. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 - (-31 - 49)) + (-2 + 3 - -15 - 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/252*368\/207.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010011011 (base 2) to base 4.\nAnswer: -102123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + (35 - 18) + -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (106 + 0)*(12 + 275\/(-20)). Which is greater: -186 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 589? (a) -5 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 + 8*c**2 - 5*c**2.\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45.1 times -549\nAnswer: 24759.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x - 550 = 0. Let o be 65\/x - (-2)\/11. Are o and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2457438*u**4 + 5080562*u wrt u.\nAnswer: -29489256*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -40, 1\/4, 6.32?\nAnswer: 6.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*v**5\/7 + 74*v**4\/7 - 3562*v**3\/7 + 1534*v**2\/7 + 21888*v\/7 + 8280\/7 = 0. Calculate v.\nAnswer: -23, -2, -2\/5, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, v: 9, o: 1}. What is prob of sequence vjjv?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -34) + 1 + (-15 - -2 - -11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 - -94. Let w be (-315)\/84*8\/h. Solve 6*l - 4*b = 3*l - 8, -1 = -l + w*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*y - 548*y - 188*y - 519*y.\nAnswer: -1962*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3057*t - 2*t**2 + 12 + 3057*t to the form o*t + n + f*t**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/d)\/d)**(14\/3)*(d**1*d)**(-2\/109)*(d**(2\/3))**5*(d**(-2)*d)**(-10\/9) assuming d is positive.\nAnswer: d**(4324\/981)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2486 divided by -1243\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*a, b + 4*a + 14 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 9:16 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -19. Let q be 429\/21 + w\/(-21). Let y = -15 + q. Solve a = -4*a - y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 183.5, -16.7, -8 in decreasing order.\nAnswer: 183.5, 0, -8, -16.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 28 = -0*c - 2*l, 4*l - 6*l = -246*c + 6888 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 781*o**4\/4 + 2*o**3\/3 - 4953*o**2\/2 - 3201. What is the second derivative of x(g) wrt g?\nAnswer: 4686*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-5719))\/((456\/112)\/(-19)*-3)?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2441935 or -2441938?\nAnswer: -2441938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -83499 divided by 5?\nAnswer: -83499\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -557*z + 195*z + 193*z + 170*z. Let d(b) = -7*b + 29. Determine a(d(q)).\nAnswer: -7*q + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3819*f**3*p**2*r**3 - 87*f**3*p*r + 4324*f**3*r**3 - 4*f**2*r**2 + 2*f**2*r + 2*f*r**3 + 2*f*r**2 with respect to p.\nAnswer: -7638*f**3*p*r**3 - 87*f**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.0722, 3, 0.12, 2.\nAnswer: -1, 0.0722, 0.12, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2420 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 + -3 - (-4 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*y + 134*y = 149 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-3) + 4\/(-6). Let w(f) = -f**3 - 3*f**2 + 6*f + 2. Let d be w(u). Let v be 122001\/2 - d\/(-12). What is v rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 303249706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -44604160 to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(18\/(-63))\/(10\/(-252)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/504 - j**6\/144 + j**5\/30 + 4*j**2. Let l(o) be the third derivative of b(o). Is 15 a factor of l(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 45*f**2 + 5 + 61*f**2 + (4*f - 5 + 5)*(f + 0*f + f) to the form n*f + q + w*f**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + z + 360 = 1217, 0 = -5*b - 2*z + 859. Let s = 3763\/22 - b. Suppose -2*f + 6 = 2*x, -f + x = -3*x + 12. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = -5*y - 2*r, -3*r = -3*y + 12. Suppose 6*v**2 - 7172 + 8*v**2 + 4*v**y + 19*v**3 - 31*v + 7142 = 0. What is v?\nAnswer: -3, -2, -1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 922 = -54*g + 56*g. List the prime factors of g.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**7\/840 - v**6\/160 - v**5\/80 - v**4\/96 - 7*v**2 - 10. Let t(w) be the second derivative of n(w). Factor t(l).\nAnswer: -l*(l + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - z + 1 - 4*z + 4*z - z + (-2 + 5 - 1)*(-4 + z + 4) + 3 + 2*z - 3 + (-6*z - z + z)*(-13 - 9 - 21) + 6*z - 4*z - 3*z in the form x + v*z and give v.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-12) - (-4)\/3. Let q = -2 + 8. Find l, given that -5*l**4 + i - 6*l**2 + 16*l**2 - q = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1750*t - 204*t + 415*t)*(4*t**2 - t**3 - 4*t**2).\nAnswer: 1539*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2 - (35640\/498)\/(-18)\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 + 519. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -i - 4*r + 25, 0 = i - 3*r - 17. Which is the nearest to -5? (a) 4 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 75 = 4*x, 4*k - 102 = 5*x + 43. Let d = x - -25. Let w(h) = -3*h + 1. Let g(s) = s. Let v(b) = 17*g(b) + 6*w(b). What is v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-44)\/88)\/(1\/(-4914))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 98a?\nAnswer: -98b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (12040\/(-45))\/(-7) + (-4)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.82 and 326705.\nAnswer: 4515063.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23637.4 litres?\nAnswer: 23637400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 353 + -49419\/140. Which is the second smallest value? (a) -1\/3 (b) d (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.654 + 0.346. Which is the fourth biggest value? (a) x (b) -1\/92 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 11*f - l - 6, 2*l = -f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 27*g**2 + 62*g - 6. Let h be q(29). What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 416\/23, 4, -2\/29, 0.7 in descending order.\nAnswer: 416\/23, 4, 1, 0.7, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 47151821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 - 11 = 0. Let u be (5 - (-7)\/2)*(-2 + -3 + 17). What is the greatest common factor of c and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -19*v + 123. Let g be x(6). Let k(f) be the first derivative of 1\/2*f**2 - 1\/4*f**4 + 0*f**3 + f - g. What is k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36655259.3157 + -5249.3157. Let o = -36649966.999963 + n. Let z = o - 43. Round z to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 395*c - 32361. What is k(-116)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (29 + (-55 - -30))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 237593?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 = -p + 19*w + 6*w - 18*w, 5*p - 2*w = 92 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 9*b - 1. Let m = -28 - -64. Let d be (-8 - 1)*m\/(-54). Give t(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 425606?\nAnswer: 425612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139373.\nAnswer: 13, 71, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 118 - 14 = 0. Suppose 2*a + 4*l - 112 = 0, -3*l = -2*a + 11 + r. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -13 - 33 - 6 - 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 743344816 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(2205\/(-36)))\/(4\/14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**8\/336 + c**7\/35 - c**6\/15 - c**5\/10 + 3*c**4\/8 - 38*c**2. Factor q(l).\nAnswer: -l*(l - 3)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212.128218 * 0.2\nAnswer: 42.4256436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6837 and 164247.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmmm when four letters picked without replacement from ljlmjljljmjjmjjj.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/12 and -89\/564.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a44 (base 13) in base 5?\nAnswer: -111233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x + 2. Let h(r) = r**2 + 1. Give 2*h(o) - y(o).\nAnswer: 2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107 + -48 - 50) + (2 + -52 - 0) + -15.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -17. Let q(i) = i**3 - 13*i**2 - 13*i - 16. What is q(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2.6 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -275 - -326. What is the remainder when k is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 + 375*u**2\/7 + 1104*u\/7 + 732\/7.\nAnswer: 3*(u + 1)*(u + 2)*(u + 122)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a millimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10904\/1436602*17\/(-1).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + r**3 - 4 - r**2 + 2 to z + y*r + k*r**2 + g*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2. Let x(n) = -11*n**2. Let c be -4 + (0 - 1 - -2). Let p(z) = 34*z**2 + 3*z - 68*z**2 - 3*z + 39*z**2. Let g(h) = c*x(h) - 7*p(h). Give i(g(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-15)*(6 + (-48)\/18). Suppose -2*k + 7*k - 80 = -4*x, -4*x - 28 = -c*k. What is the remainder when 285 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 3 + 3. Suppose -b + 43 = 2*b - 2*k, -2*k - 69 = -5*b. Let a(r) = -b + 13 + r. Calculate a(i(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Suppose 3*n - s*p = -5 + 1, -p - 1 = 0. Let i(j) = -3*j - 2. Give i(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-1)\/sqrt(10))**2 + 3 + -3*((sqrt(5) - (-1 + sqrt(5)))*-2)**2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 1. Let o(s) = 1. Determine -6*o(t) + 2*y(t).\nAnswer: 2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - q)*(3 + 1 + 0) - 8 - q + 8 + 3*q - 2*q - 2*q + (1 - 1 - 2*q)*(3 + 2 - 3).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/10 + 6\/15. Let k be -4 + g + 0\/(-3). Solve k*t = -0*t - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.06 - -0.06. Let q = 776 - 31039\/40. Put q, 0.3, g in descending order.\nAnswer: 0.3, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2635 - 2786. Which is bigger: t or -1066\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - (-492)\/(-60))\/((70\/(-25))\/(-7)). Solve -d*y = 39 - 25 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.226 + -0.016. Let x = l + 2.79. Let q = -0.46 - -0.06. What is the closest to -1 in q, x, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -925 - -954. Solve 15 = 5*s, -2*t + 28*s = l*s - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000341 rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742 = -0*u + 7*u. Let d = -74 - u. Calculate the highest common divisor of 64 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60112 and 1462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 10*r + 7. Let v = 13 - 20. Let n(l) = 4*l**2 - 9*l + 6. Let z(h) = v*n(h) + 6*d(h). Find the second derivative of z(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:39 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1 (c) -0.118 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/134432034 and -52\/22285.\nAnswer: 672160170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1451592 * -280\nAnswer: -40.644576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (4 + -12) - -12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 - -4402855237.1.\nAnswer: 4402855300.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83577.14 millilitres?\nAnswer: 83.57714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -565*d**4 - 1207*d**3 + 13260653*d?\nAnswer: -6780*d**2 - 7242*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 + 134 - d**2 + 58 + (0 - d + 0)*(2*d + 2*d + 0*d).\nAnswer: -5*d**2 + 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a6436 - -18?\nAnswer: -4a641b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43203 (base 5) to base 2.\nAnswer: -101101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 + 102 + m - 206 + 20*m**2 to t*m + l*m**2 + g and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6322 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121000210 (base 3) to base 12.\nAnswer: 25663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*o + 2*o + 12, -2*o + 6 = -4*k. Let u be (-3)\/1 - o\/(5 + -2). Let x(b) = -2*b**2 - 2*b. Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + 2124931*c - 2124931*c. Let m(u) = 943*u. Determine p(m(l)).\nAnswer: -3556996*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-22)\/6 - (-34)\/(-30). What is the second biggest value in -2\/7, 0.4, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100371295 to the power of 1\/2, to the nearest integer?\nAnswer: 10019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(3) + 3 + (-5*sqrt(12)\/sqrt(4))**2) + ((sqrt(48) - sqrt(3))*-1)**2 + sqrt(48) + -2 + sqrt(3) + sqrt(3).\nAnswer: 3*sqrt(3) + 259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27149, -108666, -244519, -434702, -679209?\nAnswer: -978034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -440, -447, -454, -461, -468?\n\"Answer: -7*o - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43903423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 + 153.99999853. Round b to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*sqrt(12))\/sqrt(4))**2 + 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11560 - 1984 = 3*b. Let k be 0*3\/(-9) + (-56632)\/b. Let s = -376\/19 - k. Calculate the common denominator of 59\/27 and s.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 - 13*t**2 - 4*t**2 + 12*t**2 - 5*t.\nAnswer: -5*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 15652*g\/5 - 31308\/5.\nAnswer: (g - 2)*(g + 15654)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3271920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*j + 33 = 0, -2*m + 17 = 5*j - 6*j. Solve m*r = 3*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203 + -201. Let y(a) be the first derivative of -3\/2*a**2 + d*a + 4. Calculate y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 36, 3 in increasing order.\nAnswer: -3, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = 5*w - 15, 0 = 3*l + 5*w - 10. Let s be (-10)\/(-3)*(-6)\/l. Sort s, 5, -2 in descending order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17376 is divided by 1119?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:09 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3213750\/(5 - (-1985)\/(-400)). What is b rounded to the nearest one million?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25.98+18832.430853\nAnswer: 18858.410853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + j - 82 = 0, -17*s - 31 = -18*s + 2*j. Suppose 24 = -s*y + 42*y. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91714 is divided by 56.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 + 5*c**4 + 130*c**3 - 25*c**2 - 872 wrt c.\nAnswer: -60*c**2 + 120*c + 780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eex when three letters picked without replacement from ggxxxegexgxexxgex.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23088623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 11. Suppose -92 = -46*i - 26*i + 26*i. Suppose -c - i*m + r = -302, m = 1. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n + 201215 = 60*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 15*b - 9. Let i(u) = -6 + 20 - 5 + 7*u - 8 - 5. Calculate -2*h(o) + 5*i(o).\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3020 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 0.0173 (c) 799\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -307.211 to the nearest 10.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((96750\/135)\/43)\/((-8)\/3))\/(1\/4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93654583 and 33319?\nAnswer: 2563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 127984.89 rounded to the nearest 1000?\nAnswer: 128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -162242.5 rounded to the nearest 100?\nAnswer: -162200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650413479 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 29. Let k(c) = 4*c + 58. Let s(p) = -3*k(p) + 5*o(p). Let h be s(-20). Find the second derivative of -7*m + h*m + 16*m**3 - 4*m**3 wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 28, 64, 122, 208, 328?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)*(0 - -2). Let l = -25.2 + 1.2. Let r = l - -29. Which is the nearest to 0? (a) -0.5 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2471 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**(1\/10)*h**(1\/8)*h\/h**(-2)*h)\/(((((h**(-1\/14)*h)\/h)\/h)\/h*h)\/(h**(-5)*h))**(-20\/3) assuming h is positive.\nAnswer: h**(19949\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 4065\nAnswer: -4069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5269*q + 5985. Calculate h(-1).\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 3087 and -469 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 12:03 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*x - 6*x**2 - 4 + 23*x + 22*x**3 - 24*x**3 in the form m*x**3 + l + n*x**2 + c*x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21.6+15033015\nAnswer: 15032993.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Let c(g) = 1535075563*g. Determine b(c(i)).\nAnswer: 2356456984119766969*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 4*a**2 + 1\/60*a**5 + 0*a + 0 - 5\/24*a**4 - 7\/6*a**3. What is j(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127 (base 8) to base 14.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 - (-61 + 88)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(252))*-1 + -1 + -5.\nAnswer: -6*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Factor 3*g + 5*g**2 + 2 - g**2 - k*g**2 - g**2.\nAnswer: (g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*m - 2*y + 18, m - 2*y = -7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let n(o) = -91817*o**2. Calculate n(u(c)).\nAnswer: -367268*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -358.\nAnswer: 5\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a + 54. Let q be u(3). What is the greatest common divisor of q and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2885077 is divided by 632?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5704626 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -67. Suppose -3*k = -o - 11, j*k + 2 = -o + 21. Let y(t) = -7*t + 4. Let w(p) = 2*p + 2 - 8*p + 2*p. Give k*w(d) - 3*y(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 31 = -6*j + 15. Is j smaller than 2\/1125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.84 - 0.16. Suppose 2*p - 12 = 4*l + 3*p, 5*l + 22 = -3*p. Let i be (-3)\/(-6) - l\/4. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/4)\/((-1172563)\/(-43698)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*s + 15\/2*s**4 + 27\/2*s**2 + 39\/2*s**3 - 3 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3464 - 3345. What is the highest common divisor of n and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(sqrt(156) + (1*sqrt(156)*5 + sqrt(156) + sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156)))\/(sqrt(84)\/(-2*sqrt(252) + sqrt(252) - sqrt(252))).\nAnswer: -432*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145356 and 390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/7))**(-2\/31)*(z*z*z**(1\/3))**29 assuming z is positive.\nAnswer: z**(43997\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7333, -28603, -64057, -113695, -177517, -255523, -347713?\n\"Answer: -7092*o**2 + 6*o - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/289612 and 97\/34.\nAnswer: 289612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(20)\/sqrt(4))*4 + -5)**2.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14890931 divided by -9739\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 6*a - 60. What is z(9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6 - 8)*(-y**2 - y**2 + 4*y**2)*(0*y**2 + 3*y**2 - 6*y**2).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 + 232551*p - 94611516 = 0.\nAnswer: 409, 77108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 25. Let l(i) = i**3 + 14*i**2 + 22*i - 22. Let c be l(-12). Let y(a) = 32*a**2 - 66*a**c + 32*a**2. Calculate y(x(h)).\nAnswer: -8*h**4 + 200*h**2 - 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315216.\nAnswer: 2, 3, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3437*t**2 + 142*t - 23. Let d be i(8). What is d rounded to the nearest 1000?\nAnswer: 221000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170888?\nAnswer: 2, 41, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 3*n**2 + n**2. Let c(m) be the second derivative of 0 - 3*m - 1\/6*m**3 + 0*m**2. Determine f(c(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*n - 10, b = 2*n. Solve 0 = 2*z - 2*w - 4, -b*z = -z - 4*w - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2. Let b(n) = -2*n**2. Let v = 191 + -186. Let d(x) = v*h(x) - 6*b(x). Let q(l) = -10*l. Determine q(d(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n**(-1\/3)*n)\/n)\/n*n)\/n)**(3\/17))**(-39) assuming n is positive.\nAnswer: n**(156\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 833659 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: Four letters picked without replacement from {f: 2, y: 2, i: 2, x: 3, d: 1, z: 2}. What is prob of picking 2 i and 2 y?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) + 156\/27. Suppose 2*n - 2*i + s = 0, -4*n = 7*i - 3*i - 28. Let p = n - -13. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = q + 37 - 51, 17*q = -3*o - 32 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 14*y**2 - 22*y - 159. Let c be f(16). Are -7\/25 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1 - 5 - 117*u - 3. Let r be y(-2). Let s = r + -111. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 + 1650*w - 185681. Calculate s(92).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290493*d**2 + 101955*d wrt d.\nAnswer: -580986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 7193*p**2 + p**3 + 7330*p**2.\nAnswer: -p**3 + 137*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-60)\/(-32)*8. Suppose -4*b = b - m. What is the remainder when 11 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, h: 7, m: 2, v: 7}. What is prob of picking 1 h and 1 g?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4*1)\/(-16)*8. Let x = o + -4. Is 5 a factor of (x - (-19)\/5)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(250\/16)\/((-995)\/(-796))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 - 13)\/((-2)\/(-6)). Suppose o = s*o - 20. Calculate the highest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 8:48 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3\/3 + 19*o**2\/2 + 72*o - 25. Let q be l(-4). Let n = -36 - -38. Solve d = -n*d - q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4067 + 12309. Calculate the remainder when t is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j + 3. Let z(a) be the third derivative of a**5\/20 - a**4\/4 - 4*a**3\/3 - a**2. Let b(p) = 8*t(p) + 3*z(p). Let x = 4 + -2. Give b(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 + 25*v**2 - 25*v + 27. Let r(i) = -i**3 - 12*i**2 + 12*i - 13. Let t(b) = -2*a(b) - 5*r(b). What is t(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 - 33012133?\nAnswer: -33013130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 596, 1218, 1840?\n\"Answer: 622*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-61 - (19 + -187)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - q + 253, -3*r - 5*q + 184 = 19. What is the highest common factor of r and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2 - 28360224*z - 141801145 = 0?\nAnswer: -5, 28360229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151664, 303326, 454988, 606650, 758312?\nAnswer: 909974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 35. Let b be d(-11). Let f = 250 - b. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n + 3*k - 585, -583 = -3*n - k. Let z = 543 + n. Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/6 + 2\/6. Let q = k - -6. Let m = 19 - q. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 210?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152\/3 - 458\/9. Do o and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5285263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 - 177. Let q(b) = b**2 - 5*b - 4. Give q(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532842 is divided by 88807.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - 0) - (1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 13. Which is greater: 1\/74 or p?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5086 * 5175\nAnswer: 26320050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4 = 2*a. Suppose -5*h + 67 = -a*v, -2*v + h = -v + 41. Let k = v - -69. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952523 is divided by 95248?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7620 <= 7622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -873 + -0.08.\nAnswer: -873.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059567 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924510 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p. Let c(x) = 2*x**2 - x. Let r(g) = g**2 - g. Let z(v) = c(v) - r(v). Give h(z(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348.89 - 347. Let g = 0.14 - 0.3. Let p = i - g. What is p rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(12\/(-3))*(-3 + 2). Let u(x) = -10*x + 34. Let f be u(4). Put l, -2, f in descending order.\nAnswer: l, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56364 + 0*w**2 - 54785 + 111149 - 2*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 8*i + 10. What is n(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 1. Let h(t) = -3*t + 7. What is h(n) - 4*i(n)?\nAnswer: -7*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 2*t)*(51435 - 52*t + 51407 - 102865).\nAnswer: 104*t**2 + 46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 156900003 = -0*m + 3*v, -4*v + 52299996 = m. Round m to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -40*l - 763. Let h be k(-19). Let p = -0.8 + -6.2. Let t = p - -7. Which is the smallest value? (a) t (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26723213?\nAnswer: 11, 37, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72*a*i**2 + a*x + 1155*a + 103*i**2*x + 2*i*x + i - 12*x wrt x?\nAnswer: a + 103*i**2 + 2*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(3\/7))\/o)**(-2\/21)\/(o**7*o*o*(((o\/o**(-7))\/o)\/o)\/o))**(8\/7) assuming o is positive.\nAnswer: o**(-5504\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 36*b - 108. Let d be f(39). Does 5 divide -8*(d\/(-2) + (1 - 5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 31*r = -44630. Suppose 0 = 4*n + y - r + 116, -3*y + 2171 = 2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -65*d + 5. Let k(w) = 11*w - 33. Let n(i) = -32. Let m(h) = -3*k(h) + 3*n(h). Give 5*m(b) - 3*o(b).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 72\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 79, 102, 113, 112?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001464763 to 6 dps.\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 4) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and -360880.\nAnswer: 433056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 226*w = 231*w - 13, -2*h + w - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-55)\/715*299 + 27. Factor -11\/3*f**3 - 28\/3*f + 1\/3*f**y + 32\/3*f**2 + 0.\nAnswer: f*(f - 7)*(f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyusssstyushy. What is prob of sequence uu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2016 - 2016 + 3*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1781, -7106, -15979, -28400?\n\"Answer: -1774*h**2 - 3*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609874 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: What is the thousands digit of 79295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*4*12\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1419097 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-76))\/((-12)\/(-672)*203)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**3 - 366 + 36 - 83 - 2*c - 29*c**3 - 36*c**3.\nAnswer: -39*c**3 - 2*c - 413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k + 38. Let j be n(-7). Suppose 3*l - 27 + 9 = -4*d, 0 = j*l - d - 18. Calculate the least common multiple of l and 26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 188*g - 40. Let h be v(2). Suppose -296*d + 292*d + h = 0. Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)\/v**(-3\/8))\/(v**(-2\/15)\/(v**6*v)) assuming v is positive.\nAnswer: v**(1021\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((178409\/(-7392))\/(-331))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*t**2 + 44?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64960 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24011250.\nAnswer: 2, 3, 5, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j + 1. Suppose -3*d + 0*k = -k + 44, 3*k = 6. Let z = d + 16. Let x(m) = m**2 - 2*m - 1. Let n be x(z). Calculate o(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-540)\/14*1\/(5\/700000). What is l rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 326, 765, 1382, 2177, 3150, 4301?\nAnswer: 5630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1111b3 (base 13) to base 3\nAnswer: -202102221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - b**2 - 63 + 17532*b - 17544*b in the form q*b**2 + i + r*b and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*h - 5, 1 = 2*h - 3*t - 0. Is (-1302)\/(-24) - h\/8 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6189\/5188 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**4 - 2*h**3 - 2*h**2 + 15. Let i(b) = -15*b**4 - 9*b**3 - 9*b**2 + 59. Let a(o) = 2*i(o) - 9*j(o). Differentiate a(g) wrt g.\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z + 87 = 0. Suppose -156*o = -7965 - 14655. What is the greatest common divisor of o and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62101125 and 82801500?\nAnswer: 248404500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0*t**3 + 21*t**2 + 5 + t + 3*t - t**3 - 17*t**2. Determine j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 1. Let g be z(-1). Suppose g*r = r. Suppose 3*d + r*d = w - 34, -5*d - 98 = -3*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 417 + -416.9999996658. What is q rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 8, 12, 81, -11 in decreasing order.\nAnswer: 81, 12, 8, -1\/7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((16\/(-292))\/2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgk when three letters picked without replacement from {f: 9, g: 3, k: 4}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 786, 64, 374 in descending order.\nAnswer: 786, 374, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 0*r**3 + 6 - 3*r**2 - 5*r**3 + 2*r**3 - r + 4*r**2. Is v(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 130626856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 67136.8ns?\nAnswer: 67.1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1800 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2697360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -819.547?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + 0. Let u = v - 0.55. Let i = 3.6 + -4. What is the smallest value in i, u, 3\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 105 = -15*h. Is 1990\/19 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -68*t**3 + 8*t**2 + 3. Let n(z) = -3*z**3 + z**2. Determine -g(k) + 8*n(k).\nAnswer: 44*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/3 + -8)\/(8\/192)*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 3*h - 2*y - 7, -4*h + 5*y = -160. Let n = -11 + h. Differentiate -8 + 8 - n + 0*v**2 + 2*v**2 wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 200 = -3*r. Suppose -30*k - 11288 = 12052. Let a = 784 + k. Calculate the smallest common multiple of a and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 30 = 3*q - 7, -4*q + 11 = 3*h. Let v = 4 + -3. What is the derivative of -h*j - v + 5*j - 2*j**2 wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -50*q - 843. Determine d(-13).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8633 + -8621. Solve -s = 4*o, 135 = -4*b + 4*o + 139 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-12))\/(1\/(-4)). Let u be 6\/(-3) - (-2 + -3). Let h(d) = -d**2 - 3 - d**u - 3*d**2 - 3*d**2 - 3*d + 3*d**2. Give h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -123?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6*j*j**(-7))\/(j**0)**(-7\/4) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5952, -5947, -5944, -5943, -5944, -5947, -5952?\nAnswer: -5959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 21*l**3 - 9*l**2 - 8*l + 17. What is j(-5)?\nAnswer: -2793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 596 or 597?\nAnswer: 596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -10\/223477139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -223453326 (base 7) in base 10?\nAnswer: -13610064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1620.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21226 divided by -12\nAnswer: 10613\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 2. Let s = -167 - -169. What is the closest to -1 in 0.5, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -478.\nAnswer: -28.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5600*g**3 - 6358*g**3 + 13401*g**3 as x*g**2 + b + d*g + j*g**3 and give j.\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 4. Let j(c) = 6*c**3. Let x be j(-1). Let w(r) = -r**2 + r + 1. Let v(d) = -7*d**2 + 7*d + 4. Let i(u) = x*w(u) + v(u). What is i(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318 - 188 - 2*i - 181)*(1 + 3 - 2).\nAnswer: -4*i - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 944547 less than 2.0840193?\nAnswer: -944544.9159807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 32. Suppose -2*w - 4*z + 162 + 1000 = 0, -f*w - 5*z = -2312. Suppose -123 = 5*b - w. What is the remainder when b is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -242*n**3\/5 + 1056*n**2\/5 - 72*n + 32\/5 = 0.\nAnswer: 2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 7 = 3*v, -5*v + 8*o - 4*o = 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 12*f + 4. Let g be (1 + -3 - 16) + 1. Let m = -29 - g. Let q be v(m). Solve -q*s - 24 = -4*o, -3*s - 2*s - 6 = 3*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u + 0*u**2 - 1 - 1\/18*u**4 + 2\/9*u**3. Let i(l) be the first derivative of b(l). Solve i(j) = 0 for j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129.5121177 milliseconds to weeks.\nAnswer: 0.00000021414040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 3*i - 4, 0 = -3*a + i + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465 divided by 473?\nAnswer: 2465\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*v - v = 11, -4*a + 4*v + 4 = 0. Suppose a*x = 2*x. Solve 2*f + 3*f - 10 = x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1368*t**3*y**2 + t**3 - 2*t**2*y**2 + 745*t*y wrt y?\nAnswer: 2736*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: bb9a (base 16) to base 5\nAnswer: 3014101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 1. Let q(j) = -10*j**2 + 9*j - 4. Let b(o) = -q(o) - 6*z(o). Let i be b(-1). Calculate the highest common divisor of 55 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409538766 a multiple of 1079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69634523773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-12\/5)\/k*k)*(k\/(k\/((k*k**(7\/4))\/k)))\/k)\/(k\/((k*k*k\/(k*k**(-1\/6)*k)*k)\/k*k))**(-2\/79) assuming k is positive.\nAnswer: k**(19531\/4740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 v when three letters picked without replacement from {b: 2, v: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000035424 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-13))**(-2\/31))**34)**50 assuming s is positive.\nAnswer: s**(44200\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34693640.\nAnswer: 2, 5, 79, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6*h + 5. Let z be j(-5). Suppose -5*s - 25 = -z*s. Put s, -2, -3 in descending order.\nAnswer: -2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-1048)\/18)*(-6)\/12 + 828\/(-7452)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46808 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-10))\/((-3)\/(-60)). Suppose 3*h - 10 = c. Let n(k) = -k - 1. Let u(z) = -4*z + 4. Let g(y) = -3*n(y) + u(y). Determine g(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(343))**2 + sqrt(42)\/(sqrt(6) + (2*sqrt(12))\/sqrt(2)).\nAnswer: -1029 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1*z\/z**(-2\/7)*((z**(2\/17)*z)\/z)\/z*z**(-5) assuming z is positive.\nAnswer: z**(-428\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83560810 = -158*g + 261*g. Round g to the nearest 1000.\nAnswer: 811000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172 - 172 + 101*h)*(20*h - 44*h - 6*h)*(-4*h + 0*h + 2*h).\nAnswer: 6060*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 8*c + 3*c + 43 as g*c + d and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4532084 millennia to years.\nAnswer: 453.2084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1 + 7 = 0. Suppose 48 = 3*w - 0*w - t, 0 = -w + 3*t + 24. Suppose -x - 4*x + w = 0. Solve -x = d*r - 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162 + -0.04.\nAnswer: 161.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24545291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606821 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 117 = -13*g. Factor -2*j**4 - 3 + 30*j**3 + 106*j**5 + 15*j - g*j**4 - 103*j**5 - 30*j**2.\nAnswer: 3*(j - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1409425*g**2 - 70327158 with respect to g.\nAnswer: -2818850*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**5\/8 - 921*k**4\/8 + 1815*k**3\/8 + 4593*k**2\/8 - 2745*k\/4 = 0.\nAnswer: -2, 0, 1, 3, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*g - 55*g + 2 - 443*g - 105*g to d + f*g and give f.\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.084996 to 1 dp.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -295*b**3*y + 13*b**3 + 32498*b*y**2 - 48*b - 140 wrt y.\nAnswer: -295*b**3 + 64996*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 945 = -810. Let a = -13171 - -237001\/18. What is the common denominator of (-2)\/10 + u\/80 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -28. Let s be 5\/1 - f\/(-2). Suppose 0*r + 3*v = 2*r, s = v. Calculate the greatest common divisor of 15 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 143*m + 2618. What is the thousands digit of l(130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -1 - 5. Let m(f) = 18*f - 5. Let d(j) = 6*j - 2. Let r(s) = -8*d(s) + 3*m(s). Is 3 a factor of r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -239. Let c be -5 - 1 - ((-4)\/12 + (-1176)\/36). What is the highest common factor of h and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r - 11*r - 8*r + 7 - 1878*r**3 + 40*r wrt r.\nAnswer: -11268*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019009525065 rounded to 7 decimal places?\nAnswer: 0.0190095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 10. Let a(p) = 6*p - 11. Determine -6*a(o) - 7*v(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2081*i**2 + 1250*i**2 - 1974*i**2 - 3 - 1073*i**2.\nAnswer: -3878*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 14, -4, -5.\nAnswer: -5, -4, 1\/4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -3, -25 in increasing order.\nAnswer: -168, -25, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 4*p, -2*p = 3*p - 5*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-9) + (6 - 208\/36). Let j = -13 - -12. Let r be -6*9\/(-30) + j. Which is the nearest to f? (a) r (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 3*o**2 + 4*o**2)*(2*o**2 + 3*o**2 - 6*o**2) - 14*o**4 - 13*o**4 - 5*o**4.\nAnswer: -33*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-8)\/(-20)) - 47012\/21*-3 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6696 and 2927826?\nAnswer: 11711304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2*sqrt(77))\/sqrt(11)*3*6.\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.01 (b) 39 (c) 1\/2 (d) -74 (e) 4 (f) 1 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -227823665 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 795*y**4 - 2*y**2 - 2529*y + 1 wrt y?\nAnswer: 9540*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.10088 + 0.106. Round o to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 264 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1067805.\nAnswer: 320341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232193, 232100, 232007, 231914, 231821?\nAnswer: 231728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) -147.1 (c) 0.4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*u + 11. Let m(t) = -u - 2 + 25*t + 9 + 8. List the prime factors of m(4).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 1, -9, 5, -5, 0 in decreasing order.\nAnswer: 26, 5, 1, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 237, 1930, 6537, 15510, 30301?\n\"Answer: 242*y**3 + 5*y**2 - 16*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2659137, -2659500, -2659863, -2660226?\nAnswer: -2660589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/10*60\/(-8). Let j = c - 9. Solve 2*d + 4*r = -2, 19 = 5*d - j*d - 3*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21 + (-3 - -4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -206 - -88. Let z be (-44)\/(-110) - y\/5. Are 23 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-102)\/(-18))\/(1\/(-6)). Let d = x - -24. What is the tens digit of 6\/d - 861\/(-35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v + v**4 + (1 - 1 - 7)*(-v**4 + 2*v**4 - 5*v**4).\nAnswer: 29*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -7, -24, 2, 1\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7 + 20.3. Let f = 0.436 + -0.736. Which is the third smallest value? (a) f (b) -4 (c) -3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14688379369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2422521 (base 6) in base 16?\nAnswer: -1f291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 108910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/29, -165, -0.1, 3\/7, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4)*(-1 + 2*i + 1) + (8 - 5 - 1)*(5*i - i - 3*i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -569 (b) 4717 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -84. Suppose j*w = -320 + 44. What is the units digit of (w\/(-1))\/(-1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 1. Let h(j) = 3*j**2 + j. Calculate the remainder when p(1) is divided by h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50440324 is divided by 227?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 299662 + -5091828\/17. Is 144 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-270)\/(-72))\/(6\/4). Let f = 87 - 85. Suppose 0 = b - 4*y - 20, -f*y + 4 = 3*b. Is b <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + (-3 - -3) + -2. Let r(o) = -o**2 + 19*o - 10. Let g be r(9). What is the highest common divisor of g and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2 + 476 + -5*(-4)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1))**18*(((w**22\/w)\/w)\/w)\/(w*(w**(-2\/33)*w)\/w) assuming w is positive.\nAnswer: w**(1784\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -53, -101, -3, 5, 4 in decreasing order.\nAnswer: 13, 5, 4, -3, -53, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 3156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 146845\nAnswer: 7\/146845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3450122 is divided by 4594.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3845, -3855, -3865?\nAnswer: -3875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.9 + -24.900311. Round k to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.13 + 3.13. Let d = 3330414.99878 + -3330453. Let k = d - s. Round k to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1333, -2372, -3419, -4474?\n\"Answer: -4*r**2 - 1027*r - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -1, 12 in decreasing order.\nAnswer: 40, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107717 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57755856 and 9024.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37226 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.042859314312 from -2.2.\nAnswer: -2.242859314312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12658022 and 1136?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*z**2 + 204*z**2 - 100*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19688353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 582*d - 1. Let x(b) = 14*b. Calculate y(x(g)).\nAnswer: 8148*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j + 25. Let b be v(-5). Solve 0*f - 5*l = b*f - 35, 2*l = 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**11*j*j**10*j**2\/(j\/j**(-2)) assuming j is positive.\nAnswer: j**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1006992*u**3 - 21251807*u wrt u.\nAnswer: -6041952*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -36574 and -4791294\/131 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -318*t - t**2 + 106 + 20*t - 106 + 3*t**2 to the form m*t + v + z*t**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 477531 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 1, 16, -3.\nAnswer: -3, 1, 4, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 256 - 27*l**3 + 160*l + 10*l**2 - 58*l**2 + 2*l**3 - 15*l**3 - 4*l**4.\nAnswer: -4*(l - 2)*(l + 2)**2*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1967, -12501, -30055, -54629, -86223, -124837, -170471?\n\"Answer: -3510*b**2 - 4*b + 1547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*f + m, -3*f + 2*f + 3 = 2*m. Let x(i) = i**2 + 3*i - 4. Let b be x(-4). What is the second smallest value in -1, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11817664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + i + 14 = 4, u + i = 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*d = k - 106*d - 8, 132*d - 131*d = -5*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -63, 5, -0.1, 5566, 0, -2 in decreasing order.\nAnswer: 5566, 5, 0.3, 0, -0.1, -2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 2\/3, -6, -0.8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*h**4 - 7\/4*h**3 - 5*h + 7*h**2 + 0.\nAnswer: -h*(h - 2)*(h - 1)*(h + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r**5\/19 + 560*r**4\/19 - 378*r**3\/19 - 188*r**2\/19 = 0. Calculate r.\nAnswer: -94, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 6*u - u)*(-1 + 2 - 3) + (-38*u + 56*u - 35*u)*(-2 + 2 + 1) - 3*u + u + 0*u.\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -404 (c) 4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*m*p**3*q - 25718*m*p**3 - 7*m*p**2 - 90*m*p*q + 3129*m*q - 5*p**3*q + 2*p**3 - p**2*q wrt p?\nAnswer: 174*m*q - 154308*m - 30*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3 + 19 = 0. Solve -6*w - l = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 - 83. Suppose 12*f - n = -6. Solve -f*o = o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*s + 3*s - 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 1623006\nAnswer: 973803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 72*g + 10. Let w(c) = -794*c - 114. Give -32*v(t) - 3*w(t).\nAnswer: 78*t + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1097, -1080, -1037, -956, -825, -632?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -1. Let c = 28563\/3289 + -1009\/115. Let l = 6\/65 - c. Is v smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 * 86\nAnswer: 4.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 97416.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 4*y**2 + 2*y + 7. Let w be c(-5). Suppose -5*j + w = -3*j. Suppose 1 + 3 = k. Solve k*r + 9 = -j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c3c8 + 219?\nAnswer: 2c614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czcz when four letters picked without replacement from {c: 5, k: 2, z: 5}.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 4:46 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 444.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -k - 14 - 0, 3*k - 2 = p. Suppose 0 = 2*b + 2*x - 5*x - 104, -5*x = p*b - 252. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*q - 5 = q, 2*a + q = -9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 488 and 43895295.\nAnswer: 351162360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4468?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from grrjjrjjrjrjjgjjrj.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00216501969 rounded to five dps?\nAnswer: -0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 54*p - 145 = 0. Let m be ((-58)\/p)\/(-1 - 1). What is the second smallest value in m, 2.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let z(m) = -m - 1. Let b(s) = s**2 - 11*s - 11. Let d(a) = -4*b(a) + 44*z(a). Determine n(d(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**6\/540 - 2*w**5\/135 - 67*w**2. Factor r(u).\nAnswer: -2*u**2*(u + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1378 and 318?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 8*m - 1. Determine q(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11\/5, 530, 0, 0.1, -0.5, -5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10503 (base 7) in base 4?\nAnswer: -221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2 - 101696*b - 123434352 = 0. Calculate b.\nAnswer: -24146, -1278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 906\/53 + -17. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**6\/180 + a**5\/30 + 2*a**4\/3 + 10*a**3\/3 + 34. Let x(q) be the third derivative of u(q). Suppose x(n) = 0. Calculate n.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 - -3.8. Which is the closest to 0? (a) 2 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*h - 1688*h - 63*h.\nAnswer: -2233*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/7*553\/237)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 55086 + 128350 = 0. Let k = -20862 - l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 = -6*j - 20. Suppose 2*p - 1206 = 4*l, 2*p - j = -5*l + 1129. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 7*d**2 - 2915 - 50*d - 38*d + 3086 - 3*d**3 - 8*d.\nAnswer: (d - 3)**2*(2*d + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -134*l + 798. Let w be z(6). Is w <= -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141300 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t + 33*t = -v + 5, 5*v - t - 37 = 0. Solve -2*m = -7*m + 4*r + 32, -v = -4*m - 3*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15225 divided by -2.\nAnswer: -15225\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16 and 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 9 + 16. Suppose p*m + 42 + 132 = -3*q, -4*m - 2*q = 138. Let z = m - -39. Solve 2*n + z = -2*g, 0*n + g = -3*n - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18168, -18177, -18196, -18231, -18288, -18373, -18492?\nAnswer: -18651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1307 = -5*d, -2*d + 251 = -d - 5*n. Let p(l) = -13*l + 3. Let t be p(-2). What is the greatest common factor of t and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b*c**3 + 3*b*c**2*r - 32*b*c*r - 7*b*c - 5*b*r + 391*c**3*r wrt c?\nAnswer: -24*b*c + 6*b*r + 2346*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 168119817388*v**2 + 168119817257*v**2 + 0*v.\nAnswer: -131*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 145*j + 294*j - 146*j = -5 - 4, -5*j = 7*k + 39 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -339800 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 4, 7, 0, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(32))\/(3*-2*sqrt(9))*2.\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c - 1. Let j(t) = -2*t**2 - t. Let u(v) = -j(v) - k(v). Let a(m) be the third derivative of -m**5\/60 + m**4\/24 + 46*m**2. Give a(s) - u(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s + 28. Find the common denominator of (-558)\/60 + (-2 - 1) and 3\/s + 115\/(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + 12.94.\nAnswer: 12.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**3\/6 + 4*u**2 + 2*u + 11. Let w be p(2). Solve -w*q + 3*q = -9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-300) - -84*16\/15480.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8*96\/(-256) + ((-11)\/(-3) - 2)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000206222272 to seven decimal places.\nAnswer: 0.0002062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -345.41 - -344. Let k = g + 3.59. Let p = -0.18 + k. Put p, -0.05, 2\/11 in increasing order.\nAnswer: -0.05, 2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 638165078 to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c\/(c\/(c\/c**(-2))))))*c)\/c)**(2\/87)*c**(-8)\/(c*c\/(c\/c**(1\/5))*c) assuming c is positive.\nAnswer: c**(-4457\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-2 + 2)\/3. Suppose d - 3 = -z. Let h = z + 17. What is the highest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - n - 4*n - 3*n. Let a(z) = 2*z**2. Calculate w(a(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**9\/252 + f**8\/168 + 704*f**5\/5 + f**2 + 268*f + 2. What is the third derivative of r(i) wrt i?\nAnswer: 240*i**3 + 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + (-1344)\/(-98) + -10?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 2. Let d be 2 - 45\/(7 - 2). Determine q(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22194 and 96174.\nAnswer: 288522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98927313?\nAnswer: 3, 229, 143999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44036.053 + 44011. Let u = q - -0.053. Let w = u + 25.051. Round w to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) -2\/9 (d) -249\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(-15)\/10 - 44\/(-2) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**4 - l**3 + l**2 - l + 1. Suppose 32*m = 7*m + 25. Let i(u) = -7*u**4 + 3*u**3 - u**2 + 9*u - 10. Let z(k) = m*i(k) + 6*p(k). Factor z(d).\nAnswer: -(d - 1)**2*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - -108) + -125 + 1 + -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 0, 56, 14 in decreasing order.\nAnswer: 56, 14, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 14799 - 1061 = 0. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 40*f**3 - f + 2. Let t be 1*((-2 - -2)*-1 + 1). Let s be r(t). Let p = s - 25. Calculate the remainder when 28 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -1\/2 (c) -489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*(sqrt(1377)*-1 + -5).\nAnswer: 12 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, 1, 3.6, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 60, -11, 3, 2, -1 in descending order.\nAnswer: 60, 3, 2, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f - 26. Let j be a(-12). Suppose -10 = 2*r, i - 3*r - j = -0*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, d: 1, i: 1, k: 1, e: 1, u: 1}. What is prob of picking 1 i, 1 k, and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*l**3 - 208957*l + 208957*l.\nAnswer: -96*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3465 and 297?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 131*f**4 - f**2 + 5*f**3 - f**2 - 128*f**4 to the form y + t*f**2 + g*f + a*f**3 + i*f**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 6*o + 9. Let d be n(7). Suppose 0 = -d*w - w. Factor w*b**2 - 8*b**3 + 20*b**4 - 10*b**3 + 4*b**2.\nAnswer: 2*b**2*(2*b - 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 10*n - 9. Let u be b(6). Let i(y) = 6 - u + 7*y - 2*y. Let r(o) = -o + 2. Let w(k) = 2*i(k) + 11*r(k). Calculate w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*t + 2*t - 50, 5*r = -t - 80. Let p be 9\/r - 51\/(-60). Is p not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358568*l**2 + 717177*l**2 - 3 - 358617*l**2 + 3.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(2*sqrt(567) + sqrt(567)).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -551, -720, -859, -968, -1047, -1096?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*b + 102, 2*b + 0*b - 110 = 2*l. Let j = -37 + b. Let u = -6 - -52. Calculate the remainder when u is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwq when three letters picked without replacement from {w: 9, f: 2, q: 3, y: 5}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Let n(o) = 3*o - 3. Let z be n(i). Let q be 5\/(-15)*3 + 10. What is the highest common factor of z and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p. Let y(q) = -2*q. Let j(b) be the first derivative of 5*b**2\/2 + 6. Let d(u) = 3*j(u) + 8*y(u). Give d(x(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898 is divided by 948.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -784 - -795. Suppose 20 = -6*l + j*l. Find g such that -2\/3*g - 2*g**2 - 2*g**3 + 0 - 2\/3*g**l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + 2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123143825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 - 8) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99\/14 + -144\/7. Let k = -14 - q. Which is the second smallest value? (a) 4 (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.458522l to millilitres.\nAnswer: 9458.522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 3\/4, -3, -1.66?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 2, b: 1, l: 1, i: 1, u: 1}. Give prob of picking 1 w and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0153222 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - 7) + 5 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 55 + 2*h + 34. Let x be z(-30). Calculate the greatest common divisor of x and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/200 + 18\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -24. Let p = z + 14. Suppose 5*m - 15 + 0 = p. Solve 5*t + 0*t + m*n = -4, -5*n - 20 = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - o - 3 = -2, 3*l - o + 14 = 0. Let a(v) = -3 + 6 - 10*v + 0 + 7*v - 5*v**2. Let m(w) = -24*w**2 - 14*w + 14. What is l*m(n) + 14*a(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*w - 2, w = -2*t + 179. Let i = t - 42. Suppose -5*g + g - 4*j + 48 = 0, -5*j = 0. Calculate the remainder when i is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 - 4.9. Sort -1\/4, -4, m, -1\/9.\nAnswer: -4, -1\/4, -1\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = c - 5*c. Let l be (12\/(-9))\/(-1)*c. Let p = -10 + l. What is the smallest value in -1, -1\/5, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 47, 97, 175, 287, 439, 637?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670788 divided by 4?\nAnswer: 417697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/8*p**3 - 7\/4*p**2 + 15\/8*p.\nAnswer: -p*(p - 1)*(p + 15)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, 0, -9 in ascending order.\nAnswer: -15, -9, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4 + 0 + 8). Let k be 2 - (0 + -2 + 2). Suppose 4*h - 4*w - 32 = 0, -k*h + w = -12 - 0. Solve 0 - h = y*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*t + 419*t = 104 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2073*r**6 - r**2 - 111.\nAnswer: -248760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 + 300160*i + 71211504 = 0. Calculate i.\nAnswer: -74802, -238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-49)\/(-11760)*-368)\/(2\/(-15))*(-2)\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 106*z + 1342. Determine c(33).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*c - 109*c + 227*c - 71062 + 71041.\nAnswer: c - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 73, 255, 615, 1213, 2109?\nAnswer: 3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16977.\nAnswer: 3, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 666 + -2663\/4. Factor 3\/4*a**2 + r*a**3 - 1 + 0*a.\nAnswer: (a - 1)*(a + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -15*i - 5*s + 23224995, i + 4645005 = -5*s. What is i rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (9 + -6) - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-6 - 37 + 3) + 5 - 7 + 7)*(o**4 + 3*o**4 + o**4).\nAnswer: -375*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/5 + 214*y**2\/5 + 624*y\/5 = 0 for y.\nAnswer: -104, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 19 + 15 - y - 14. Let m be z(13). Let h = -95 + 98. Solve -h*d + 5 = -m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 11*b + 220. Let h = 143 + b. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2 + 168*q + 171 = 0. Calculate q.\nAnswer: -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6310 + 6334. Let q(x) = 27*x**2 - 2*x + 3. Let n be q(-3). Calculate the greatest common divisor of g and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 11*t**2 - 14*t + 15. Determine s(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 196362474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98219041 and 10954?\nAnswer: 5477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 73. Suppose 2*d + y + j = 3*d, 17 = 2*d + y. Find z, given that -z + 0*z + 2*z + d*z + 6 + 3*z**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371687\/142362 - 2\/7909. Let l be 86*(-1)\/(-2) + 1. Calculate the common denominator of (-138)\/l*(-2)\/6 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154291820 to the power of 1\/2, to the nearest integer?\nAnswer: 12421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806 is divided by 553?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -936000 rounded to the nearest 10000?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -249 + 483. Let b = d - 212. Solve -5*a = c + b, -23 = -c + 3*a + a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-25460)\/540 - -47).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 389358 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**2 + 78133*u + 4202674 wrt u.\nAnswer: -4*u + 78133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 8*b - 3*b = 35, -19 = -a - 4*b. Put 1, -5, a, -1 in descending order.\nAnswer: a, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -424841, -420931, -414407, -405263, -393493?\n\"Answer: l**3 + 1301*l**2 - 426143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2. Let p(q) = -3*q + 62. What is p(h(g))?\nAnswer: 9*g**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o - 8. Let b be x(6). Let j(s) = s**3 - 10*s**2 + 9. Let g be j(b). Suppose 2*f + f - g = 0. Solve -2 = 5*t + f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 1, n: 1, r: 4, l: 1}. Give prob of sequence rra.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -14. Differentiate 44*j**r + 2*j**4 - 15*j**3 - 29*j**3 + 77*j**2 + 68 wrt j.\nAnswer: 8*j**3 + 154*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 43, -6, -53?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365337891 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*o**2 + o**4 - 7*o**4 + 15 + 9*o**4 to the form u*o**4 + s*o + i*o**3 + z + x*o**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2)*t**(-17)*t)\/((t**(-2)\/t*t)\/((t*t\/t**(-30))\/t)) assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470843811?\nAnswer: 3, 61, 83, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 - (1 + 11 + 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*s - 58*s + 176 = -89*s. Let l(q) = 3*q**2 - 18*q + 5. Calculate l(s).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -5, -62 in increasing order.\nAnswer: -62, -5, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2873701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -16*y + 12*y - 1550, -5*f = y - 7771. Does 73 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 8*c**2 - 22*c - 5. Let t be n(-10). Solve 4*l = 5 + t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.023 + -0.01. Let g = i - -0.087. Which is the nearest to g? (a) 5 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 6, n: 5, z: 1, p: 3, f: 3}. What is prob of sequence nfp?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13504 + 0.2984265352\nAnswer: 13504.2984265352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1111100001101100101001 (base 2) to base 11\nAnswer: -232aa99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11437 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 721*n - 1 = 722*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqqr when four letters picked without replacement from riirrqqrri.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.41 or -1331?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 + 9*h + 6. Let o(l) = -10*l**2 - 17*l - 11. Let i(y) = 6*o(y) + 11*p(y). Let j(u) = -9*u**2 - 5*u. Determine 5*i(v) - 3*j(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 10*z - 40 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31ac3a - -2?\nAnswer: -31ac38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-111)\/54*5*(-9)\/315 and 107\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2448*h + 323136. Calculate g(-132).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0973 - 0.2973. Let b = -41 + 37. What is the smallest value in s, b, -0.01, -2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 27 = 2*n - 24, 5 = -n - 3*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*h - 18971 = -357*h - 47821 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-9)\/2)\/(825\/2450*(-7)\/(-2)) and 21\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124932, -249832, -374728, -499620, -624508, -749392?\nAnswer: -874272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4334 + 3?\nAnswer: 4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37.591466474 and -2?\nAnswer: 39.591466474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99907 or -100736?\nAnswer: -99907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9 and -43\/57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13)*-4 + sqrt(637) + sqrt(637) + sqrt(637) + -3 + -5*((sqrt(13) - -2*sqrt(832)) + 3))**2.\nAnswer: 2160*sqrt(13) + 47124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y + 5*c = -1705, c - 1339 = 4*y. Let g = 631 + y. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18836, 18840, 18846, 18854?\nAnswer: 18864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41555.9t?\nAnswer: 41555900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 25\/4)\/((-470)\/(-80))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 93*m - 1587. Determine f(69).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -516 + (-6)\/6 + 1. Let m = -279 - w. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*y**2 - 11*y**4 - 34 + 14*y**2 - y**2 + 32 - y**5 wrt y?\nAnswer: -60*y**2 - 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -12. What is the smallest value in -0.1, n, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768972.\nAnswer: 2, 3, 64081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (143858\/(-19617))\/((-418)\/(-36))?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Suppose -3*s + 2*f + 65 = 0, -3*s + 66 = f - 4*f. Let c(u) = s + 688*u + 16 - 689*u. What is a(c(v))?\nAnswer: v - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -32. Suppose t*z = 4*z - 10012. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 252707312.6 and -2369.\nAnswer: 252704943.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 93 = -63*l. Which is smaller: l or -254?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 375448982 to the nearest one million.\nAnswer: 375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36612000 rounded to the nearest one hundred thousand?\nAnswer: 36600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 + 13*m**5\/60 - 7*m**4\/12 - 5*m**3\/6 - 2*m**2 + 80*m. Give z(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2\/2 - 95. Let o(z) = -6 - 169*z + 87*z + 8 - 101*z. Give t(o(m)).\nAnswer: 183*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/114357 and 34\/419309.\nAnswer: 1257927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 + 33*b**2 + 6*b**2 + 4*b**2 in the form c + y*b + l*b**2 and give l.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 40, 65, 94, 127, 164, 205?\n\"Answer: 2*n**2 + 15*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0277 - -12.5723. Let d = m + -14.6. Which is the third smallest value? (a) 1\/5 (b) 10 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 556804008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 6*z = 17, -73 = -z - 70 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 193 = -q + 192, 4*d - 8 = 2*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, 13, 119, 237, 367, 509, 663?\nAnswer: 829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 62*u - 3. Let n be o(31). Sort -2, n, 5, 0 in ascending order.\nAnswer: n, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181\/399 + 16\/133. Let j = 4 - 3.92. Let y = 14 - 10. What is the third biggest value in y, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**2 - g**2)*(-2*g**3 + g**3 - g**3) - 5*g**5 + g**5 + 2*g**5 - g**5 - 4*g**5 + 3*g**5 + (62 - 15*g**3 - 62)*(2*g**2 + 2*g**2 - 3*g**2).\nAnswer: -15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.5, 2.4, 109, 3 in ascending order.\nAnswer: 0, 1.5, 2.4, 3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*17\/(-850))\/(1\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 2, d: 14}. What is prob of picking 1 t and 1 d?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 - 0.9. What is the third smallest value in 3, 1\/4, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m\/m**(2\/13)))*m)\/(m\/m**(-2))*(m\/m**0)**(-4\/21) assuming m is positive.\nAnswer: m**(-94\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1643725, -1643721, -1643717, -1643713?\nAnswer: -1643709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 119, 291, 543, 881, 1311?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30046.\nAnswer: 2, 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3752, 3757, 3762, 3767, 3772, 3777?\n\"Answer: 5*n + 3747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -474*m**2 - 156*m - 65. Let k(d) = 119*d**2 + 39*d + 15. Calculate 3*i(s) + 13*k(s).\nAnswer: 125*s**2 + 39*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.299713s to nanoseconds.\nAnswer: 1299713000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25*1*(-1)\/1. Let l be 9\/60 - (-10)\/k. Suppose 0*f - 2 = -f. What is the closest to 0 in 3\/5, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**2 - 985130*y + 78823200 = 0.\nAnswer: -492645, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -1) + (-9 - (-13 + 2))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - ((-4 - 1) + 4). What is r in -1\/4*r + 0 + 1\/4*r**b = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4 = l. Suppose 0 = -l*k + 3*k + 3. Suppose 4*u + 3*j = -0*j + 5, 2*j = u - 4. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7167 - 7162. Suppose 3*i - 812 = 3*j - j, 0 = 4*i + j - 1068. Let b = 2408\/9 - i. What is the closest to b in 2\/7, k, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-19 - -2) + 30*(-299)\/(-230).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 - 2)*(-37*x**3 - 15*x + 15*x) as u*x**3 + v*x**2 + b + n*x and give u.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*q - 297*q = -1248. Suppose t + g = 2*g + 3, t = -3*g + 11. What is the third derivative of 22*v**2 - 74*v**5 + q*v**5 - 73*v**t wrt v?\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12562\/133 greater than 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 75*f - 48 - 82*f + 163*f - 30.\nAnswer: 6*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16928, -17002, -17114, -17282, -17524?\n\"Answer: -3*c**3 - c**2 - 50*c - 16874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2496 and 10608.\nAnswer: 42432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/1*((-143524)\/424 + 336)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 844 = -826 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/30081 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*o + 2*s - 895, 0 = 4*o - 2*s - 718. What are the prime factors of o?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 234? (a) 5.5 (b) 5 (c) -1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(50)*-6 + sqrt(2) + sqrt(162)*-1) - (sqrt(2) + sqrt(98) + -3)**2*-3*6.\nAnswer: -636*sqrt(2) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 48. Suppose -k - 38 = -3*d + y*k, 5*k = -3*d + 58. What is the remainder when 59 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u - 24. Let d be g(6). Let b = 97 + d. Let a(m) = 5*m**3 - 8*m**2 - 6*m. Let n(y) = -y**3 + y**2 + y. Give b*a(f) + 6*n(f).\nAnswer: -f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28661.51 centimeters to nanometers.\nAnswer: 286615100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -944, -2, -1, 0, 4 in decreasing order.\nAnswer: 44, 4, 0, -1, -2, -944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((3 - 19) + (-15 - -15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2 - 6*k**2 + 4*k**2 + 6*k**2 + k**2. Let s be x(2). Let v be -2*(-2)\/s + 20\/(-90). Solve 2*j - 8 = -v*j - 2*b, -4*j - b + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1167, 2342, 3517?\n\"Answer: 1175*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in -534, 2\/15, 777, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -101. Let z = -20 - o. Which is the smallest value? (a) -5 (b) 2\/11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 6\/3*-1. Suppose 0 = 52*p - 53*p + 16. Let l be 88\/p + (-2)\/4. Solve 0*j + l*w - 15 = -j, g*j + 24 = w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*u**4 + 0*u + 0*u**2 + 2\/3*u**5 - 4\/3*u**3 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-6)\/(-3) - -4. Let a be 0 + 0 - (-1 - 65). Suppose -a - 12 = -b*q. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 38 = -c + 4*a, -8 = -3*c - 2*a. Suppose -2*j + c = -0*j. Calculate the remainder when 93 is divided by -3 + (31 - (j + 1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(-3 + (-1*sqrt(405) + 3 - sqrt(405))))**2*3*4.\nAnswer: 174960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + f = -240 - 2779, 3 = -f. What are the prime factors of r?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(220) - sqrt(220))\/sqrt(11))\/(6*sqrt(70)\/sqrt(7)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -26, -0.23, -277.\nAnswer: -277, -26, -4, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 - 3*a - 2. Let i be u(-2). Suppose -5*l + 5*f + 55 = 0, 5*l - 4*l + 2*f + 4 = i. Calculate the lowest common multiple of l and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1279*q - 1270*q - 990 = 0. Calculate the lowest common multiple of 15 and q.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 12. Let s be b(-6). Suppose s = -2*q - 6. Which is smaller: q or -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5584 by -698.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3276, -6609, -10064, -13701, -17580, -21761?\nAnswer: -26304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511 = 3*d - 178. Let g = d - -111. Solve -3*x = q + 17, g = -3*q - 0*x - x - 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in -1\/2, -3\/7, -6, -59?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9246 or -15908?\nAnswer: -15908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/(-87)*(-6)\/40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1290*v - 3 = 1295*v + 3*x, -2*x - 2 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2535 + -462544660?\nAnswer: -462542125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*m = -18, 13*k - 8*k - 4*m - 30 = 0. What is the third smallest value in -0.1, k, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 24 = -42 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6475.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 0. Suppose -36 - 74 = -2*v. Suppose 0*u - 5*u + v = c. What is the smallest common multiple of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 7*l**2 - 21863*l**3 + 21920*l**3.\nAnswer: 57*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 941967125 to the power of 1\/3, to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*36 + (-6 - -9). Let s = 195 + o. Let p = -74 + s. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655345287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -95943*i + 4989045. Give m(52).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39683338, 79366676, 119050014, 158733352?\n\"Answer: 39683338*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**2 - 10*t**2 + 8*t**2 - 4*t**2.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + (-7 - (-13 - 20))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 3*q - 1. Suppose -15*v = -53*v - 114. Calculate s(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8024*o + 5*i = -8027*o + 45, -3*i = -18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*p + 5*m, 3*p + 3 = 4*m - m. Let j be 2 + (-4 - p) + 0. Let q = 2.8 - 0.8. What is the third smallest value in q, -3, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 2 - 7 + 11*d to n*d + p and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**3*n**2 + 269534*j**3*o**3 + 23049*j**2*n**2*o**2 + 4*j**2*o**3 + 3*j*n**2*o wrt j.\nAnswer: -12*n**2 + 1617204*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t - 10*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7605 or -7596?\nAnswer: -7605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 6*z + 5. Let y be t(7). Suppose 0 = -2*u - 5 - 3. Let c be 1\/((1 + -3)\/u). Sort c, y, -3.\nAnswer: -3, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128 is divided by 178?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1001332312231?\nAnswer: 1001332312222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 2. Let w be g(1). Suppose u + 0 + 4 = -f, w = -3*u - 4*f - 13. Put 5, -4, u in increasing order.\nAnswer: -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 286 and -5821.\nAnswer: -1664806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, c: 6, l: 1, s: 4, q: 1, z: 3}. What is prob of sequence cs?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2*n - 3)*(3 + 2 - 3) + 4 - 4 - 2*n + 4*n + 7*n + 3*n)*(-n**3 + 0*n**3 + 3*n**3).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15561.361 rounded to the nearest ten?\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5 + 105*i**4 + 4797*i**3 + 32439*i**2 - 79674*i + 42336 = 0. What is i?\nAnswer: -16, -14, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 263204859967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -15*n - 5. Let h(w) be the second derivative of -w**5\/20 - w**4\/6 + w**3\/3 + w**2\/2 + 5*w. Let x be h(-2). Is 10 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose 14 = -l*t + 2*t. Suppose y = 4 + t. What is the greatest common factor of 88 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710 = 6*s + 182. Let f be (s\/(-10))\/(1\/(-5)). Suppose f*g - 20 = 42*g. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22304 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * 2.407672.\nAnswer: -209.467464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2673356, 2673372, 2673392, 2673410, 2673420?\n\"Answer: -y**3 + 8*y**2 - y + 2673350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 279586*v + 5 - 279627*v.\nAnswer: -41*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13\/39)\/(-1*(3 + -1))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 65 = 47. Let w(a) = -a**3 - 9*a**2 - 12*a - 30. Let c be w(-8). Sort c, x, 0.\nAnswer: x, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 - -1002c?\nAnswer: 10090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 6, 0.3, 0.1, -4\/501?\nAnswer: -4\/501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3244374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 10 + 44. Let t = -13 + z. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2100 = 184*g - 376*g - 158*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6*q*q**6)**(-32\/7)*((q**4*q)\/(q\/((q**2*q)\/q)))**(-8\/7) assuming q is positive.\nAnswer: q**(-496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426648882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + (-5167716)\/(-645960))*22142\/183. Let k = w - 1\/5383. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -354 + -14223153?\nAnswer: -14223551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26584565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - 5*a + 7. Is 33 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 3.1 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -41*h**5\/4 + 11*h**4\/12 + 203*h**3\/3 - h**2\/2 - 6880*h. What is the second derivative of j(f) wrt f?\nAnswer: -1230*f + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*o + 3. Let f(y) = 2*y**2 + 2*y - 3. Let d(t) = t**2 + 2*t - 2. Let a(c) = -3*d(c) + 2*f(c). What is a(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-145)\/(-725))\/(4\/10). Which is the second smallest value? (a) 4 (b) 5 (c) -0.025 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6865, 3, 230 in decreasing order.\nAnswer: 6865, 230, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*r = j - 3, -4*r + j = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*d*y**4 + 22779*d*y + 2091887*d wrt y.\nAnswer: 40*d*y**3 + 22779*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6 - (10 + -5)) + (-15 - -4) + -44?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -6*a - 2. Suppose -a*w = 12*w + 280. Let j be 46\/(-4) - 2\/4. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 324\/(-405)*(-3)\/((-18)\/(-10)). Let j(v) = -v**3 + 13*v**2 + 14*v. Let o be j(14). Which is the nearest to o? (a) -2\/7 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iitstitsti. What is prob of sequence ttt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -195, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/6*2)\/((-26)\/2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 706544\/129 - 5477. Find the common denominator of w and 10\/33.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71164417 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-140)\/24 + 6 + 113\/6. Let o = 92 + r. Calculate the remainder when o is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185854000 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -958*h**3 - 385*h**2 - 51*h**2 + 954*h**3 = 0. What is h?\nAnswer: -109, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/8 - 3*o**3\/2 + o**2 + 638. Calculate l(14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpq when three letters picked without replacement from oooonpoppopqhoonpqh?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 + -130. Suppose 0 = 4*h - 20 - b. What is the remainder when 7\/(35\/10) + 109 is divided by h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802023 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2\/z**8*z\/(((z**(-19)\/z)\/z)\/z*z)*z*z**(4\/9) assuming z is positive.\nAnswer: z**(157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:25 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2274524 by 568631.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -2.42658.\nAnswer: -2.52658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b - n = 38, 0 = 4*b + 4*n - 64. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -34. Suppose 3638*u - 3634*u - 1096 = 0. What is the remainder when u is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 2*g**2 + 4. Calculate the remainder when -4*-4*(-9)\/(-24) is divided by l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -590, -1175, -1748, -2303, -2834, -3335, -3800?\nAnswer: -4223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 3. Let j(s) = 55*s + 48. Let l(t) = f(t) - j(t). What is the tens digit of l(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:19 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4580.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {k: 5, n: 5, p: 8}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/10*(-4)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24056095, -48112193, -72168291, -96224389?\nAnswer: -120280487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -440614 - -25?\nAnswer: -440567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 87*l**3 + 3*l**2 - 38*l - 64. Let k be u(-27). Let o = k + 319272. Round o to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 5. Let n = 143 + -148. What is r(n)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31013030110 (base 4) in base 6?\nAnswer: 201401324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 96329, 96325, 96319, 96311, 96301, 96289?\n\"Answer: -p**2 - p + 96331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -12. Suppose 0 = -3*z - 2*t + m*t + 40, 0 = -5*z + 3*t + 88. Calculate the highest common divisor of z and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -4.8. Suppose 0 = -2*t + t. Which is the nearest to t? (a) j (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*c + 4 + 10, c + 3*r = 15. Let p be (-6)\/c - 28\/(-6). Let y(w) = 3*w**2 - w**2 - 3*w**2 + p*w. Calculate y(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 177, 249, 315?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 - 8*s**2 + (-2 - 2 - 730*s + 1021*s)*(5*s - 3*s - 3*s).\nAnswer: -299*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142561\/40 - 28509\/8. Factor r*a**2 - 8\/5*a - 2.\nAnswer: 2*(a - 5)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87690353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1507203135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 482 + 601 = 3*a, 4*m = -4*a - 108 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3483*t - 3*t**2 + t**4 + 4*t**2 + 2*t**3 - 4*t**3 + 3742*t in the form w*t**4 + s*t**3 + n*t + z + g*t**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c*c*c\/c**(2\/7)*(c**(-1))**46)**45 assuming c is positive.\nAnswer: c**(-1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-25))\/(1\/5). Let y(x) = -5*x**d + 0*x**2 - 2 - 7*x - x**3 - 3. What is the remainder when y(-4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3\/7 + 18*f**2\/7 + 68*f\/7 + 48\/7 = 0. Calculate f.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 3*j - 4. Let g be i(1). Let c be (36\/2*g\/3)\/1. What are the prime factors of 5*3*(c - 2 - -5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2100 = -21*t + 23*t. Suppose 11*a - a - t = 0. Calculate the highest common divisor of 30 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2992.6747 to the nearest ten.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035384 to seven dps.\nAnswer: -0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 2*r**7\/315 - 2*r**6\/45 + 4*r**5\/45 - 16*r**2. Factor l(b).\nAnswer: 4*b**2*(b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -62426*h**2 + 350890?\nAnswer: -124852*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**5\/60 - q**4\/8 + q**3\/6 + q**2 + 3. Let w(b) be the second derivative of j(b). Calculate w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 133043100?\nAnswer: 133043042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60495\/4 + -15638. Is m > -514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -43. Let g be (4 - h) + 3 - 3. What is the units digit of (g - -5)*146\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20) + 1 + (-87)\/(-30))\/7\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129304 - 129309 - 8*f + 2*f + 387866 - 129260.\nAnswer: -6*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.48 + -0.52. Let i = d + -13. Let w = -45 - i. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134376 is divided by 16718?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 1637914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 16 = -2*s - 17*q, -4*q - 13 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -g + 82, 0 = 4*g - t - 365 + 81. Let j = -65 + g. Let i(q) = -q**2 + 9*q + 1. Give i(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in 1\/2, 1, -290, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2154, -4341, -6518, -8685, -10842, -12989, -15126?\nAnswer: -17253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114 - -45?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 349 = 40*y - 1174. Is 45 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/49*(-2 - -3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 - -0.2254.\nAnswer: 3.9254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from avvavvpeepppvvvpvv?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.3 - 340.3. Let q = -195 - k. Let d = 101.00000073 - q. What is d rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33180 + 0.4?\nAnswer: -33179.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -86. Suppose -5*o + 2*t + p = 0, -2*t - 22 = -3*o - 0*o. What is the remainder when (-2*2)\/(6\/(-57)) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**6\/3 - 5*n**3\/3 - 4. Find the third derivative of q(v) wrt v.\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1593\/392 + -3\/49. Let o = d + 277\/8. Is o at most as big as 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14736263?\nAnswer: 17, 29, 71, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 63*v**2 + 71*v - 523. Is q(-70) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.288338\nAnswer: 0.865014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 76 = -x - 3*x, 5*x + 748 = -5*o + 853 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, p: 2}. Give prob of picking 1 j and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + 3 + 1)*(3 - -7). Calculate the highest common divisor of 48 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 12577*m**2 - 25157*m + 12579.\nAnswer: (m - 1)**2*(m + 12579)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-77) - (-680)\/(-1848)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -6) + -6 + 4 + -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 + -259.999999183. Round g to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-576)\/480*5\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(51) + sqrt(153)\/(sqrt(3)*-1))*-5)\/(-4*(sqrt(3) - -2*sqrt(3)) + (sqrt(3) - (sqrt(432) + -2*sqrt(432)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**3 + 44*z**2 - 10*z - 1. Determine a(-4).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3*x - 1087*s**3 + s - 28*x + 21 wrt s?\nAnswer: -6*s*x - 6522*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 - 27*c**3 - 141)*(2*c**2 - 2 + 2) + (4*c**5 + 0*c**5 - 2*c**5)*(2 + 4 - 4).\nAnswer: -50*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -182 or -181?\nAnswer: -181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*i**5 + 201*i**4 + 74592*i**3 + 1575132*i**2 + 5550000*i - 2476800 = 0. Calculate i.\nAnswer: -48, -20, -5, 2\/5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/19)*i*i**(-17) assuming i is positive.\nAnswer: i**(-307\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gtaa. What is prob of sequence aag?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 473 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 - 3*v**2 + 2*v**2)*(-5*v + 2*v + 5*v - 3*v + 0*v + 5*v + (1 - v - 1)*(-1 + 2 + 1) - 2*v + 0*v + v + 83*v + 36 - 36).\nAnswer: 168*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -8. Suppose -4*o - 3 - 1 = n*u, 20 = -5*o. Suppose -40 = -s - 2*z, 4*s - 14 - 134 = -u*z. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99a265 (base 11) to base 15.\nAnswer: -217836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yykyggy. Give prob of picking 3 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (19 - 10) - ((1 - -5) + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 13*i = -x + 12, 4 = 4*i. Let m(v) = v**3 - 9*v**2 - 24*v + 27. Let g be m(x). Solve -5*t + 8 = -4*r, -2*t = g*r + 2*t + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7970 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a760b (base 14) to base 10.\nAnswer: 404555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/2)\/(0 + 1). Let k = 1234 - 1231. Solve k*j + 0*v - 2*v - 10 = q, -20 = 4*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 15*r = 48. Calculate the remainder when 46 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 3*u**2 + 3*u - 3. Let q(d) = d**2 + d - 3. Let k be q(0). Let v be ((-6)\/(-4))\/(k\/(-4)). Determine r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -248794446.5 to the nearest 10000.\nAnswer: -248790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159.2 + 158.7. Which is the fourth smallest value? (a) 0.2 (b) 2221 (c) -0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r*r**(-2\/23))\/r)))\/r*r**(-6))\/(r**(1\/4)\/r**(-1\/6))*(((r\/r**(-6))\/r)\/(r**1\/r))\/(r**(3\/2)\/(r**7*r)) assuming r is positive.\nAnswer: r**(1655\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 15*y**3 + 10780*y**2 + 28660*y + 14320 = 0?\nAnswer: -716, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67 + -5.5879?\nAnswer: -2.9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 700\/10220*(-9)\/(-45)?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2315234 (base 6) to base 9.\nAnswer: 201344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**2 + 35*n + 243. Let g be t(-8). Let i = -486 - g. Let h(u) = u**2 + 1. Let m(r) = 5*r**2 - 3*r + 4. What is i*m(f) + 6*h(f)?\nAnswer: f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y - 3. Let h be b(3). Let v(u) = -4*u**3 - 22*u**2 + 10*u - 10. Let a be v(-6). Let t = a + h. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 1:26 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-609)\/(10295145\/(-30360))*7\/(-2).\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6 - 2*g + 5*g - 12*g. Let d(p) = -26*p + 17. Calculate -6*d(u) + 17*w(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = 4*i - 3747399, -b + 749480 = i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2214383 to the nearest integer?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1\/3 (c) -1138 (d) 4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183699?\nAnswer: 3, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 7*w - 11652. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 81.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34396924 is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8213\/6 + -1351. What is the common denominator of g and (-1)\/(-4)*53*(-8)\/(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let i(b) = 117*b**2 - 26*b + 26. Let m(w) = 13*w**2 - 3*w + 3. Let y(q) = 3*i(q) - 26*m(q). Determine z(y(g)).\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24169776.\nAnswer: 2, 3, 193, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 497 (base 12) to base 15\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h + 1609 + 431. What is the highest common factor of 136 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdrprrdddrdddarrrdp. What is prob of picking 1 a, 1 p, and 2 r?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q**3 - 3*q**2 + 7*q + 3. Let t(b) = 9*b**3 + 2*b**2 - 5*b - 2. Suppose -4*n + 83 = 55. Suppose -h + n*h = 42. Determine h*t(m) + 5*w(m).\nAnswer: -2*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, -2, -73 in increasing order.\nAnswer: -73, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, u: 9}. Give prob of picking 2 u and 2 z.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 4:32 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 + 8 = 0. Let g = 12.5 + -8. Let b = g + -5. Sort x, -4, b in decreasing order.\nAnswer: x, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22879, -2, -0.2?\nAnswer: 22879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44e - 85b5?\nAnswer: -8a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/1160 - -2329\/10440. Let n = -32\/75 - 6\/25. What is the closest to n in -5, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72459043 or -507213309\/7?\nAnswer: -507213309\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 458 + -271. Let r = o + -166. What is the lowest common multiple of r and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1526397662?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -33081\/4948?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/62 and -79\/28.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001279?\nAnswer: 3, 7, 157, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4) + -4)*-4 + sqrt(800) + (sqrt(128) - sqrt(8)).\nAnswer: 16 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w**3 + 5*w**2 - 5*w. Let o(p) = p**3 - p**2 + p. Determine 5*o(v) + z(v).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 367 * 0.4.\nAnswer: 146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = -b + 2122, -5*b + 22*d = 19*d - 10900. Calculate the smallest common multiple of b and 28.\nAnswer: 8708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j = -381. List the prime factors of j.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 5 + 0*f + 0*f. Let c(p) = -2*p - 12. Let b be c(-8). Suppose m + 7 + 16 = b*k, -2*k = -3*m - 19. Give i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1\/4))\/(n*(n\/(n**(-7)*n))\/n))**3 assuming n is positive.\nAnswer: n**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63495*a**2 - 74458*a.\nAnswer: -126990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -101, -163, -227, -293, -361, -431?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2235, -4479, -6729, -8985, -11247, -13515, -15789?\nAnswer: -18069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 5*h - 7. Let q be i(-4). Let a = q + -13. Suppose 2*n - 66 = -a*n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**3\/3 - y**2 - 9*y. Let k be p(-1). Sort k, 5, -8 in descending order.\nAnswer: 5, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 60, 21, -34, -111, -216?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 522695 and 2155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 221919032 or -0.3?\nAnswer: 221919032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}