diff --git "a/data/dm_maths/full_data_2/1281_11255.jsonl" "b/data/dm_maths/full_data_2/1281_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1281_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Four letters picked without replacement from {z: 3, v: 1, a: 2, p: 1}. What is prob of sequence pvzz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8598 is divided by 568.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 64253.65205 to the nearest one thousand.\nAnswer: 64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -19*f - 2. Let k = -6 + 8. Suppose -k*n + 1 = 5. Is 16 a factor of o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*(-945)\/(-75)*800\/(-480)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5194979462 and -0.7.\nAnswer: -5194979462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/41, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215102268\/13 or 16546329?\nAnswer: 215102268\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/10080 and 141\/350.\nAnswer: 50400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/12)\/h)\/h*h*h\/((h\/h**(3\/14)*h)\/h) assuming h is positive.\nAnswer: h**(-101\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-126)\/14 + 15)\/(3\/12). What is the greatest common divisor of u and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -30, -53, -94, -159, -254?\n\"Answer: -g**3 - 4*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:18 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 16*o - 1088. Differentiate 4*v**3 - 265*v**4 - 269*v**4 + 801*v**4 - 269*v**4 + o wrt v.\nAnswer: -8*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13049 + 13046. Let k = -1780\/11 + 162. Which is the fourth biggest value? (a) u (b) -2\/9 (c) 0.66 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.3. Let r = d + -3.3. Let p = 456 + -456.4. Sort p, 3, -2\/3, r in decreasing order.\nAnswer: 3, p, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 26*s**2 - 24*s - 77. Let m be g(27). Let o be 1035\/138 + 2\/m. Solve o = -12*t + 10*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/4 + 17*u**2. Let y(a) = -2*a + 6*a - 3*a. Give y(q(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 18 = -23*g. Solve 4*h - w = g*h + 7, -15 = 4*h + w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 15468*n**2 + 19938252*n + 8566802276.\nAnswer: 4*(n + 1289)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 2043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/5 + 26*n**2\/5 - 2*n\/5 - 26\/5.\nAnswer: 2*(n - 1)*(n + 1)*(n + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41853874*p - 18367865?\nAnswer: -41853874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 46229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:14 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 - 2\/24. Let r = -974\/5 - -194. Let x = 0.687 + -0.387. What is the closest to -0.4 in n, r, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 2*t**3 + 0*t**3 + 2*t**3 + t - t + (-t + t + t)*(t - t**2 - t))*(t - 1 + 1)*(-54*t + 65*t + 90*t).\nAnswer: 303*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let l = -0.4 - -1.3. Let m = -0.1479 + -0.8521. Put d, l, m in increasing order.\nAnswer: m, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*o - 3*s + 12, 5*o = 3*s - 2. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 724 (base 11) to base 5\nAnswer: 11443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d + 2. Let l be b(-2). Suppose 0*i = 3*i - l. Let u(r) be the third derivative of r**5\/60 - r**4\/6 + r**3\/3 + 5*r**2 + 391*r + 1. Calculate u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21412 (base 5) to base 7\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h - 8 = 0. Let g be (-8)\/h - (-1 + 0). Sort 2, 4, g.\nAnswer: 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 15*n - 24. Let d be a(-13). Suppose d*s - 10*s = -24. Solve 3*q + 5*y = -2*q - 15, -s*q + 15 = -3*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.288 - 0.288. Let j = -4 + 4.4. What is the fourth smallest value in m, 3, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/122)\/(1890\/38430)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 22, 4, 11, 5, -1 in ascending order.\nAnswer: -1, 2, 4, 5, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -4.89.\nAnswer: 58.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 0, -12 in descending order.\nAnswer: 34, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -11) + (5 - 25) + 5\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = m. Suppose 2*t + m*b - b = 376, -3*t = -3*b - 567. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -113*g + 948. List the prime factors of n(-42).\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 2 (c) -7.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 35*c**2 - 264*c + 398. Is y(83) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Let c(y) = 94*y**2. What is u(c(q))?\nAnswer: 8836*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1275314, -2550627, -3825938, -5101247, -6376554?\nAnswer: -7651859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2679888 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0 + 0)*(-2*y + y + 0*y) - 7*y**2 - 2*y**2 + 2*y**2 - 4*y**2 + 3*y**2 - y**2 + (3*y - 4*y - 4*y)*(5*y - 6*y + 6*y) - 4*y**2 + y**2 + 2*y**2.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24289 + -15421. What are the prime factors of t?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 3498?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x - 2*d - 828, -3*x + 4*d = -626. Let l = x + -112. List the prime factors of l.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -304, -1234, -2784, -4954, -7744, -11154, -15184?\n\"Answer: -310*d**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1430, -1431, -1432, -1433, -1434, -1435?\n\"Answer: -s - 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64.2 - 50.2. Let f = 3.9 - -10.5. Let t = f - m. Which is the second smallest value? (a) 0.2 (b) t (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.34 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*t + 4*g = 220*t - 6552982, -4*t - 4*g + 5242328 = 0. Round t to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5921*d**3 + 3*d**2 - 7*d - 6. Let c be i(-2). Is c\/(-9) - 5\/(-45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t - t**2 - 9*t + 4 + 2*t**2. Suppose -2*s - 24*z + 20*z + 46 = 0, 0 = -3*s - 4*z + 61. Let w be v(s). Solve -12 = w*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(4)*-6)\/sqrt(3).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/7 - 188901*i**2\/7 - 566710*i\/7 - 377808\/7.\nAnswer: (i - 188904)*(i + 1)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-15))\/(2\/(-20)). Suppose -g = d - 0*d. Let j be (252\/8)\/((-3)\/d). Calculate the greatest common divisor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 113 + 514 = 0. Suppose a - u = -43. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1295 and 53465.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1159.26*0.446.\nAnswer: 517.02996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 117. Let w be t(0). Let j = 181 + w. What is the remainder when 242 is divided by j?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -216106369.9 to the nearest ten thousand.\nAnswer: -216110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 200\/11*f + 2\/11*f**3 + 0 + 50\/11*f**2.\nAnswer: 2*f*(f + 5)*(f + 20)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 0 + 9752\/7*y - 12\/7*y**2 = 0?\nAnswer: 0, 2438\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:57 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1162*m*t**3 + 6*m*t**2 + 16*m wrt t.\nAnswer: -6972*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6412 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1.02, -0.38, 0.2, 1?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 1 + 21 - 77*j**2 + 28.\nAnswer: -77*j**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15128 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*2 - 10\/60*18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 23*h**2. Let s(c) = -13*c - 3. Let w(d) = -22*d - 5. Let l(x) = 5*s(x) - 3*w(x). Give l(j(i)).\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -577*c + 2. Let b(f) be the third derivative of f**4\/6 - f**2 + 1089*f. Give b(i(a)).\nAnswer: -2308*a + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5337 + 7568. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -229\/40 + 28\/5. Let r = 0.02 + 0.28. Which is the smallest value? (a) g (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1955 and 3724666.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 9\/(-405)*-9*-39?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1522 (base 9) to base 12.\nAnswer: -802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3507, -12586 in descending order.\nAnswer: -5, -3507, -12586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 482607339 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6 - 0.4. Let q = -7.2 - y. Which is the third biggest value? (a) -2 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5304769 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -362, -547?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-310.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x = 20 + 253 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 15, 1, 4, 29 in decreasing order.\nAnswer: 29, 15, 4, 1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**4\/12 - 188887*y. Let l(v) be the third derivative of v**4\/2 - v**3\/2 - v**2. Give l(m(t)).\nAnswer: 12*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3286 - -3322. Solve 32*d + c = 38*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(0 + 1*sqrt(1088)) + 2 + sqrt(1088)*-1 + 4)*-4)**2.\nAnswer: 3072*sqrt(17) + 70208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 8. What is the closest to z in 3, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -0.03 (b) 11 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6 - 17 + 256*b.\nAnswer: 256*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, u: 1, t: 2, s: 1}. What is prob of picking 1 t and 2 i?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5))**(11\/8)\/(a*a**(-21)*a\/a**(1\/2)*a) assuming a is positive.\nAnswer: a**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2 - 2*d**2 - d - 3*d**2 in the form s*d**2 + t + w*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.191992ml?\nAnswer: 0.005191992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 - 7*a - 15. Determine v(7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 35*s**2 - 88*s - 82. What is the remainder when b(38) is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-392)*-63*4\/15.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357687087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -328, -58, 494, 1394, 2708, 4502?\n\"Answer: 11*n**3 + 75*n**2 - 32*n - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-817)\/(-473)*792\/36\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 665\/(-3))*(-6)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) + -4)) + sqrt(13))*-5 + sqrt(1573)*-1)**2.\nAnswer: 640*sqrt(13) + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1127 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11 - 32 + 10 + 12. Let v(r) = -8*r. What is -a(w) - v(w)?\nAnswer: 8*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 22*t**2 + 20*t + 82. Let j be k(-16). Calculate the greatest common divisor of 295 and j.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -1. Let x be 5\/p - (-662)\/4. What is the greatest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 18 - 24. What are the prime factors of ((-234)\/(-24))\/(n\/(-12))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**4\/12 - z**3\/6 - 288*z**2. What is j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Suppose -5*k = 6*o - o - 295, -3*k = -j*o - 202. What is the highest common factor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3 = -3*l. Suppose 0 = 4*s + l*o - 658, -173 = s - 2*s - 5*o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 1. Let u be h(5). Let a be (1 - -1)*(18 - 9). Suppose a = u*m - 4*m. Calculate the remainder when 17 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d + 15*d - 35*d in the form s*d + t and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 - -60. Let r be (8\/15)\/(c\/(-15)). Factor 2\/5*k**2 - r*k + 6\/5.\nAnswer: 2*(k - 3)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 - 12 = 0. What is the units digit of (3 + n\/2)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 54 - 90 = 0. Calculate the greatest common factor of p and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48359, 96862, 145339, 193790?\nAnswer: 242215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, -54, -182, -434, -852?\n\"Answer: -7*f**3 + f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from fgqggrggelqleref?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1183*t**2 + 0 - 1179*t**2 + 2365*t**2 + 0.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/14380652 and -5\/93474238.\nAnswer: 186948476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b + 6. Let d(m) = -143*m + 77. Let z(o) = -6*d(o) + 77*t(o). Let q(f) = -f**2. Calculate q(z(a)).\nAnswer: -121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 9*j**2 + 16*j - 184. What is the smallest common multiple of 2 and p(10)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 10*a**2 - 7*a - 5. Determine m(8).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(7\/(2\/(-2))). Let u(z) = -z + 6. Let j be u(5). Let x be 0\/j - (-3)\/(-6). What is the nearest to x in -4, -3\/4, w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrrrwrwwwrwrrrrw. Give prob of picking 3 w and 1 r.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkxzqykjkjjj. What is prob of sequence zkkx?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*q - 16 = c, c - 22 = -5*q. Suppose 0*m = 4*m - 12. Suppose 2 + u**m - u**c + u**3 - 2*u - u**2 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1651 = -r + 5*j, -4*j = -3*r + 1277. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/122841 and -29\/33303560.\nAnswer: 299732040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55250 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4511 (base 11) in base 15?\nAnswer: -1b61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32023\/14 + 2287. Which is smaller: -16 or k?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 18. Let r be 0 - -2 - (o + -7). Suppose 37 = 2*g - r*z, z + 44 = 4*g + 5*z. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 91508.06mg?\nAnswer: 91508060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-521)\/2*(-19 + 17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 19\/(11\/(-4) + 3). Suppose 7*q - l = q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**3 - p. Let t be o(-1). Which is bigger: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*((-15)\/6 + 3). Let j be (4\/c + 0)*-3. Suppose -j*v + 4 = -v. Solve 0 = 3*g + 6, -2*l + 0*g + v*g - 6 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -2 + (-2 - -1). Let s = -3 - f. Let j(w) = -2 + 1 + w**3 + 4*w + w**s - 6*w**2. Give j(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*i + 12 - 2460*i**2 - 5*i + 2458*i**2 + 26*i in the form n*i**2 + s*i + v and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/13582 + -10213749\/230894. Let o = -19289\/408 - i. What is the common denominator of -3\/4 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3\/5, 10, -2\/9, -1 in descending order.\nAnswer: 24, 10, -2\/9, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5222 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(228) - sqrt(228)))\/((sqrt(108) + (sqrt(108) - 3*sqrt(108) - sqrt(108)))\/sqrt(9)) + 2*sqrt(95)\/sqrt(5) + (sqrt(76)*-3 - sqrt(76))**2 + -1.\nAnswer: 4*sqrt(19) + 1215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -6, -6*i = -2*i - 4*l + 160. Let y = 73 + i. Is y + 4*(-2)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-103)\/(-412)*(13629 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.47 times 5.2\nAnswer: -2.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1135.194 times 0.3\nAnswer: 340.5582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/7)*f)\/f**(-2)*(f**0)**(-29))**(-42) assuming f is positive.\nAnswer: f**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1\/4, 0.34?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/10)\/((-1)\/6*1). Let l(i) be the second derivative of i**4\/4 - i**2\/2 - i. Let u be l(1). Solve -p*f + u + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvvfvvfgvgvevevgvvef. What is prob of picking 1 g, 1 e, and 2 v?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*m - 15, y - 3*m + 6 = -1. Factor -3*n**y - n**4 - 6*n**2 + 8*n**2 - 2*n**3.\nAnswer: -n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (525 - 527)*2\/2. Let d = -11.5 + -0.5. Is j less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 12 = 2*k. Let v = k + 15. Let n = v - 13. Solve 4*q = 3*q + 3*s - 2, -n*s = q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + k**3 + 0*k**3 + (-2*k - k + k)*(3*k + 3*k - 7*k)*(k + 3*k - k) to the form a*k + m*k**3 + i + g*k**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 10 = -7*c + 23. Let q = -2 + 2. Solve q + 2\/3*p**2 + 0*p + 2\/3*p**4 - 4\/3*p**c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r - 384. Let c(h) = -28*h + 773. Determine 6*c(u) + 10*d(u).\nAnswer: 2*u + 798","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**2. Let y(i) = 3*i**2 - 2*i**2 + 2*i**2. What is 2*q(p) + 7*y(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-520)\/15 - 22) + 382*(-4)\/240.\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/12260 and -9\/204742.\nAnswer: 2047420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1782.739142 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -749296, -1498596, -2247902, -2997214?\n\"Answer: -3*c**2 - 749291*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 287350*v**4 + 69*v**2 - 1530*v - 3159 wrt v.\nAnswer: 3448200*v**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 0*v**2 + 0*v**2 + (3 + v - 3)*(-v**2 + v**2 + 2*v**2) - v**3 + 2*v**3 + 0*v**3 + (-2*v + 0 + 0)*(0*v + 0*v - 2*v**2) + 0*v**3 + v**3 - 4*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:53 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 11. Let w(a) = 205*a + 6. Let m(s) = 27674*s + 808. Let i(o) = -3*m(o) + 404*w(o). What is b(i(r))?\nAnswer: 81608*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hppgh. Give prob of picking 1 g and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1999 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -37*f**7\/105 - 41*f**3\/3 - 73*f**2. Differentiate z(u) wrt u.\nAnswer: -296*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 32 - 8 = 0. Let l be 2\/n - (-14)\/(-24). Let r = -3 - -1. What is the smallest value in r, -1, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25233.77 meters?\nAnswer: 25233770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115*0.5.\nAnswer: 57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 6. Suppose w*v = 16 - 0. Factor 4\/5*k**v + 2\/5*k + 0 + 2\/5*k**3.\nAnswer: 2*k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-14)\/12).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -1\/2, -3, -1\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*t + 7*t. Suppose 4*f + 2*y - 2 = -4, -5*y - 25 = 0. List the prime factors of (2 + 2)\/(f\/t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16559 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b873 + 2?\nAnswer: -11b871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2136 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -312446 and -312236 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 23*i**3 + 1130*i**2 + 2301*i + 1172. Let v(j) = -13*j**3 - 565*j**2 - 1151*j - 587. Let g(w) = 11*v(w) + 6*x(w). Factor g(t).\nAnswer: -5*(t - 115)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwynwtwnwnwwoonqowo. Give prob of picking 2 o and 2 n.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.971 - 0.009. Let j = 0.02 - z. Let r = j + -2.936. What is r rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29017 and 37?\nAnswer: 1073629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 5, -0.4, 5\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 391*p + 4. Determine m(-1).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = -6*d. Let v(g) = 5*g. What is the units digit of v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = -2*d + 2, 0 = -2*d + k + 6. Let w be 16\/10 + d*-1. Which is the third smallest value? (a) -1\/2 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 3*u - 16. Let o be d(-4). Suppose o = -17*q + 21*q. Solve q*l = -6 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 35*n - 78 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42222 (base 7) in base 4?\nAnswer: -2202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*y - 757, 4*c - y - 1027 + 428 = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 3*f**2 - 2*f - 2. Let y(s) = -6*s**3 + 10*s**2 + 7*s - 11. Let d(w) = -w**2 + 3*w. Let u(z) = 6*d(z) - y(z). Calculate -11*t(c) - 2*u(c).\nAnswer: -c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5571 divided by 1\nAnswer: 5571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -772 + 2153 + 6*o**2 + 0*o**2 - 718 to i + m*o + s*o**2 and give i.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose 0 = 2*q + c*y, -3*y = -y + 4. Solve 4*p + 4*k = 0, -3*k + 3 = -q*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 9. Let k = z - -166. Solve 0 = 3*f - k*a + 4, 0*f - 5 = -f - 5*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocococo. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109894*j**2 + j**3 + j**3 + 1805*j**4 - 178 - 109888*j**2 wrt j.\nAnswer: 43320*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 885, 869, 847, 825, 809?\n\"Answer: v**3 - 9*v**2 + 4*v + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -5. Let m be (-2 + -1)\/(w\/16). What is the second derivative of i + 2*i + 3*i**2 - 2*i**m wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -5*c**3\/3 - 417. Let x(q) = -46*q. Calculate x(l(r)).\nAnswer: 230*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*d = -d + 17, 0 = -3*b + d + 5. Suppose b*s - 6*s = -21. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26\/(-5))\/((-1)\/5). Let i(r) = -14*r**3 - 4*r**2 - 6*r - 4. Let y be i(-2). What is the greatest common factor of f and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61409?\nAnswer: 61409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10801 + 10806. Solve 38 = 4*o + 2*m, 32 = z*o + 4*m - 23 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*sqrt(15) + sqrt(15)))\/sqrt(5).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305207 = -x - i, -3*x = 200*i - 196*i - 915619. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycc. What is prob of sequence cy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**2 + 117060*d - 3046264 = 0.\nAnswer: -29291, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n + 2. Let k(g) = -36*g - 15. Let j(p) = -15*f(p) - 2*k(p). Let z(c) = -11*c - 15*c + 21*c - 4*c. What is j(z(q))?\nAnswer: 27*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10233643 to the nearest integer?\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k - 13*k + 0*k)*(4 - 5*k - 10 + 6*k) to q*k + t*k**2 + d and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147 - -200) + -51 + (-1 - 0) + (72 - -2).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:04 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13725456*k**2 - 3*k - 628081 wrt k?\nAnswer: -27450912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -2 + (sqrt(1872) - (-3*sqrt(1872) - sqrt(1872)))**2 + (sqrt(234) - sqrt(234)*-1)\/((sqrt(8)*2)\/sqrt(4)).\nAnswer: 3*sqrt(13) + 46798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-7)\/(-7)*1*8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.11 - -16. Let y = i - -3.11. Let h = y + -3.1. Which is smaller: h or 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6101*t + 16*t**3 + 15*t**3 - 6101*t.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 725\/(-13) - (-23 + (-6342)\/(-273))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7571945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*z - 5, 3*u - 3*z = 2*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 47*p\/4 + 45\/2.\nAnswer: (p - 45)*(p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1821, 1818, 1813, 1806, 1797, 1786, 1773?\n\"Answer: -h**2 + 1822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-2) - -2)*-4. Let d = c + 3. Let g(k) = 9*k**2 + 9*k + 4. Let l(p) = 5*p - p**2 - p + 2 + 5*p**2. What is d*l(j) - 2*g(j)?\nAnswer: 2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbwbbwwbwwb. Give prob of picking 3 b.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 915603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 14. Let z = -108\/7 - -857\/56. Sort f, -5, z in descending order.\nAnswer: f, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + s = 11107 + 358, 0 = 3*f + s - 6877. Let y = f + 4511. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -775792249.9 to the nearest one million.\nAnswer: -776000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 7*l**2 + 29*l - 38. Let h be a(10). Which is smaller: -55 or h?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230460401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76754198?\nAnswer: 2, 677, 56687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/8099 + 97222\/137683. Which is the third biggest value? (a) l (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29321 + -0.2932067954. Round i to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) -9 (c) -7 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 6. Calculate the remainder when 10 is divided by i(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)\/s**(-2\/15)*(s\/(s**0*s))**(11\/2)*(s**(1\/3)*s)\/s*s**(-1\/8)*s*s*s*s*s\/(s*s**(2\/5)\/s)*s*s*s*s**(4\/5) assuming s is positive.\nAnswer: s**(689\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -235654 minus 561?\nAnswer: -236215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15002191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(7) + (sqrt(77)*-1)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 10:52 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyfgafggygggg. What is prob of sequence af?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -188*y + 39. Let c(t) = 83*t - 20. Let b(p) = -9*c(p) - 4*r(p). Let d(s) = 3*s**2. What is b(d(q))?\nAnswer: 15*q**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -8. Let z = 1.03 - -2.97. Which is the third smallest value? (a) g (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d + 440 = 83*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 878*m**3*s**3 - m**2*s**3 - 946*s**2 wrt m.\nAnswer: 5268*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/12 + 5*x**3\/6 - 3422*x. Let h(d) = 26*d. Calculate q(h(i)).\nAnswer: 676*i**2 + 130*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h - 0*h + 72. Suppose -6*p + 10 = -h. Solve -2*f + 18 = 8, 2*f - 1 = -p*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 2 (c) -1\/7 (d) -4 (e) 76 (f) 4 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 215. Calculate r(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127069\/57 or -2229?\nAnswer: -127069\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 65.7516127.\nAnswer: 65.6516127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/16 - 31\/144. Let d = 11 + -13. Suppose -5*b = 3*c - 21 + 3, 10 = 3*b + c. What is the nearest to d in 4, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 3:21 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, v: 4, m: 3, s: 5}. Give prob of picking 3 o and 1 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - -3 - -102 - 55?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + -9924.\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 45*a + 40. Determine t(9).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:37 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*d**2 + 3*d - 6*d**2 - 2*d**4 - 11*d**2 + d to the form j*d**2 + s*d**4 + r + k*d + w*d**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**3 + 3*s**2 - 3*s - 7. Let p be v(-2). Sort p, -4, 13, -3 in descending order.\nAnswer: 13, -3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - -0.9. Let i = -8 - -13. Sort i, 0, c in descending order.\nAnswer: i, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 3 (b) -34 (c) -2\/31 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -8*s**2 - 2*s**2 + 8*s**2. Let j(h) be the second derivative of h**3\/2 - h. Calculate b(j(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8625\/10374 + 1008\/(-4788) and 45\/34.\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78968145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(2\/9))**19\/(w*w**(2\/5)*w**(-11)) assuming w is positive.\nAnswer: w**(2332\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -240 + 1684\/7. What is the second biggest value in 0.3, 0.02, -1\/4, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4.9. Let k = 1 + -3\/2. Which is the nearest to l? (a) -5 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32b5 (base 14) in base 6?\nAnswer: 104355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -349.161 - -349. Let s = x - -13.561. Round s to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.43, 10, 0.5, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -21?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 11:55 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5793, 11589, 17385, 23181, 28977, 34773?\nAnswer: 40569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlcg. Give prob of sequence xc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -840.3 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190 + -167.9. Let x = 22 - v. Let u = 13 + -9. Which is the third biggest value? (a) u (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d. Let b(a) = a - 2. Let t be -4*(-3 + (-20)\/(-8)). Let k(p) = 6*p - 11. Let x(y) = t*k(y) - 11*b(y). Give 2*s(m) + x(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 9*k**2 - 7*k - 6. Let s = -29 - -37. Let f be v(s). Let l be (-3)\/2 + (-13)\/(-2). Solve 2*i - i = -4*h + 20, -f*i = -h + l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937656*x**2 + 468835*x**2 + 468766*x**2 + 2 - 2.\nAnswer: -55*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*s = 3*i - 35, 4*i = 3*s + 95. Let v = -9 + i. What is the highest common divisor of 44 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 0.1 (c) -2\/31 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 69*j - 623. Calculate the remainder when 7222 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -i + 5, 3*i - 4 = 4*d - i. Let z be (-6 + 2)\/(17 + d + -2). Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -8. Let n = a + 2.3. What is the smallest value in 1\/2, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128022781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -44*i**2 + 83*i - 41. Give o(9).\nAnswer: -2858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000247031 rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppb when four letters picked without replacement from {b: 1, m: 5, p: 14}.\nAnswer: 91\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034029226 plus -0.036?\nAnswer: 1034029225.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -7*b - 37, -6*b - 4*u = -9*b + 47 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292 a factor of 19462688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9 = 41. Let w be 2 + (-2 - (g + -1)). Let y = 283 + -283. Solve -3*d + w + 0 = y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-5\/12)*m**(-18)\/m assuming m is positive.\nAnswer: m**(-221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = -3*l - 37, 0 = -4*t + 2*l + 28. Suppose b - 4*m + t = 0, 4*b + m = -3 - 0. Does b = 2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*z - 2653824, -2 = 86*z - 85*z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -415.8 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 11 = -3*y, 2*q - 8*y + 18 = -4*y. Let h(a) = -7*a**3 + 5*a**2 + 3*a + 2. Let u(p) = -8*p**3 + 6*p**2 + 3*p + 2. Give q*u(t) + 6*h(t).\nAnswer: -2*t**3 + 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001688179087 to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -180*i**2 - 26*i - 7. Let f(a) = -92*a**2 - 12*a - 3. Determine 13*f(u) - 6*g(u).\nAnswer: -116*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooosxgwksxwo. Give prob of picking 2 s and 1 g.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 3092?\nAnswer: 105128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) -1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1354 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 2*c**2 - 3*c + 4. Let z = -23 + -4. Let f = z - -38. Let l(i) = 6*i**3 + 11*i**2 + 16*i - 21. Give f*v(w) + 2*l(w).\nAnswer: w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -2*z - 17*h + 2, 5*h - 31 = -4*z. Is (4\/14)\/(z\/19138) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003466694 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -105, -89, -67?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-5)*j))\/(j*j*j**(-7)*j))**(-8\/5)\/((j*j**(-1))**25*((j**(-1\/3)\/j)\/j)\/(j\/j**(3\/8))) assuming j is positive.\nAnswer: j**(-1181\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 4. Let r be q(8). Let k be 3*((-80)\/r)\/(-4). Put 2, 3, k in decreasing order.\nAnswer: k, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42226 and 168905\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*o**4 + 0 - 1\/3*o**2 + 2\/3*o**3 + 0*o.\nAnswer: -o**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -6315.8, -2 in decreasing order.\nAnswer: 0.03, -2, -6315.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*k + 785 + 915. Let g = 104 + -78. What is the lowest common multiple of k and g?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i = 8. Let f(d) = -8*d**2 + 2*d - 2. Let w(t) = 16*t**2 - 4*t + 5. Let y(m) = -5*f(m) - 2*w(m). Is y(i) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201 - 411. Let x = s + 210.0401. What is x rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*x - 25 = -3*n, 2*n + 15 = 5*x. Let h = -29532 - -49732. Suppose -h = -x*t + 3*t. What is t rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/18 + 4424\/(-19908) + (-362)\/(-72)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1435 and -450.3058063.\nAnswer: 984.6941937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2360 = -8*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*1*3*1)**2 - ((sqrt(363) - sqrt(363)*-2)**2*4 - (sqrt(363) - (sqrt(363) - (-4 + 1*sqrt(363))) - sqrt(363))**2).\nAnswer: -9785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.3? (a) -0.05 (b) 0.01 (c) 0.267 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - z**2 + z + 7. Let m be h(0). Let s(w) = -w**2 + 8*w + 1. What are the prime factors of s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-32)\/(-48))\/((-8)\/(-672)))\/2)\/(-10).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122287 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1236692.\nAnswer: 2, 309173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2558 is divided by 720?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + 30\/(-5))*(-1)\/(-2). Let q be 28\/6 - 10\/15. Sort h, q, 2 in increasing order.\nAnswer: h, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 1)\/(27 - 26). Solve -x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2. Let g(w) = -w - 75. Determine i(g(j)).\nAnswer: -2*j**2 - 300*j - 11250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10324030 (base 5) to base 16.\nAnswer: -15cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = m - 5*h, 0*h - 11 = 3*m - 2*h. Let p = m + 5. Find the second derivative of q + 0*q + q - 2*q**p wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + 9\/(-4). Let r = -67 + 70. Let y(u) = 2*u**3 + 1 + 2*u**2 + 0*u**3 - r*u + 1 - 5. Determine y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 802 and 1203.\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (0 + -3 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 take away -41.547?\nAnswer: 55.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(1 + 0)*(-300)\/600. Solve 11*z + 4*z + 90 = y for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(330))\/sqrt(6))\/sqrt(5).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8289 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*i - 38*p + 34*p = 7, -547 = -537*i + 5*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 17*j**2 - 69*j + 46. Let x be w(5). What is the biggest value in -2.6, 6, x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**20\/r)\/r)**(-40))**(5\/21))**(-1\/46) assuming r is positive.\nAnswer: r**(600\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-13)\/11154*-44.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.02828 and 4.\nAnswer: 5.02828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*w**3 - 1289*w**2 + 1289*w**2.\nAnswer: 912*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*h**2 - f**3*h*k - 4*f**2*h**2*k - f**2*k - 3*f**2 wrt f?\nAnswer: -6*h**2 - 6*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 3 + 1 + 1. Suppose -287 = -h*j - n, 3*n = 7 + 8. Is 12 a factor of j + (3 - 0\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 9 = -3. What is the remainder when 247\/f + 3\/(-6) + -1 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, j: 5, w: 8}. What is prob of picking 1 u, 1 w, and 1 j?\nAnswer: 25\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*w - 116*p + 54*p + 61*p = -26, 20 = 2*p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5207597258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2472, -2465, -2446, -2409, -2348?\n\"Answer: x**3 - 2473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41172000 to the nearest 100000.\nAnswer: 41200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164455 or 164454?\nAnswer: 164454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 - 10) - (-22 - (3 + (4 - 7)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*c - 28 = 2*o, -25 = -5*c. Find the third derivative of 7*y**3 + 2*y - y**o - 37*y**4 + y**2 + y**3 - 5*y**3 - 31*y**4 wrt y.\nAnswer: -1632*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -49664 (c) -2\/9 (d) 14 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a + 10. Give u(-11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:01 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 2. Let r be u(-5). Let p be 1 - (-1 - 5\/(-3)). Factor 1\/3 - 2\/3*d - p*d**4 + 2\/3*d**r + 0*d**2.\nAnswer: -(d - 1)**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 5*z + 2. Let t be c(5). Suppose 3*g = -t*g. Suppose g = -8*u + 3*u + 635. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1408276962?\nAnswer: 2, 3, 26079203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebhb when four letters picked without replacement from {e: 3, h: 1, b: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - 2*y)*(4*y**3 - y**3 - 4*y**3) + y**4 + 0*y**4 - 2*y**4 + (0*y**3 + 4*y**3 - 3*y**3)*(0*y - 4*y + 2*y) + 8*y**4 - 10*y**4 - 3*y**4.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 10790000 to the nearest one hundred thousand.\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -3.57 (c) 3 (d) -0.03 (e) -8 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uduq when four letters picked without replacement from euuqduquqqdeuuuu.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 131\/22819 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2490657 + 1.249. Round t to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18475 - 1182373\/64. Find the common denominator of 25\/9 and a.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320310 (base 4) in base 6?\nAnswer: -24500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11851*o**3*y - o**2 + 7756*o*y wrt o.\nAnswer: -71106*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-792)\/3003*(-30)\/(-18)*(-14)\/10?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 + -0.7. Let l = q - 1. Suppose -j = 2 + 2. What is the third smallest value in l, -0.3, j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11824, 11834, 11858, 11902, 11972?\nAnswer: 12074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-2 - -1) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 5, -4, 11 in decreasing order.\nAnswer: 11, 5, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -4, 1 in increasing order.\nAnswer: -12, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.4 - 7.35. Let w(t) = 4*t - 1. Let q be w(1). Suppose 5 = i + q. Put i, -2, x in descending order.\nAnswer: i, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/15 - 4984*p\/15 - 45342\/5 = 0. Calculate p.\nAnswer: -27, 2519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14470025?\nAnswer: 5, 31, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 130. Let n = 93 + -27. Suppose -5*m + n = -3*m. Calculate the remainder when i is divided by m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*w**2)*(-65 - 14 + 38 - 63).\nAnswer: 416*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**2 + 12*i + 10. Let q(l) = -4*l**2 - 11*l - 9. Let a(j) = 5*d(j) + 6*q(j). Suppose 0 = -2*f + 2*v + 6, 0 = -4*f - v - 0*v + 27. Calculate a(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*m = -3*h - 61, -3*m + 65 = h. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112734, 112740, 112746, 112752?\nAnswer: 112758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w. Let h(o) = 351*o + 99. Let j(c) = -14*c - 4. Let x be 6\/24 - 17\/4. Let l(y) = x*h(y) - 99*j(y). Calculate l(r(s)).\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.6 + -12. Which is the smallest value? (a) -5 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 892, 1751, 2580, 3379?\nAnswer: 4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 - 2*i**3*y + 2120*i**2*y + 3*i - 201*y + 27 wrt i?\nAnswer: -24*i**2 - 12*i*y + 4240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-3)*1*-1. Let w = -166.989 + 166.589. Let v(p) = -p - 2. Let a be v(-3). What is the nearest to a in w, -3, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 - 140*b**4 - 362*b**3 + 40112*b**2 - 285165*b + 558900 = 0. Calculate b.\nAnswer: -135, -23, 4, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1205*x + 13276. Give q(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from txxxxtttxttxt.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5\/3 (b) -294 (c) 21 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2*(2 - 0). Let t(v) = -10*v**2 + 5*v. Let x = -8619 - -8614. Let a(o) = -5*o**2 + 3*o. Calculate j*t(b) + x*a(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*246\/656)\/((-3)\/(-8))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-54)\/10)*(9396\/(-90))\/3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 10. Let z(d) = -15*d - 669. Let t be z(-45). Let p be -1 + 0\/(-11) + t\/g. Solve -w = 1 + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-3 + sqrt(396) - sqrt(396)) - sqrt(77)\/(sqrt(7) + 5*sqrt(343))) + 5)**2.\nAnswer: 13*sqrt(11)\/18 + 219035\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52899 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 + 113*i - 1455*i + 6589*i**2 - 6591*i**2 in the form m*i + w + n*i**2 and give m.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33784\/3340869 + 138057659150\/134613634617. Let u = -6\/4477 - f. Find the common denominator of 55\/48 and u.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 (base 9) in base 8?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**2\/5 + 952*a\/5 + 19008\/5 = 0.\nAnswer: -216, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g**2 + 2*g - 1. Let q be 4*(-2 - 0)\/8. Let b(w) be the second derivative of -w**4\/12 + w**3\/6 - w**2\/2 + 2*w. Give q*n(z) + 2*b(z).\nAnswer: -z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 30 + 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*m + 11. Let f(g) = -6*g + 16. Suppose -52*b - 41*b + 1848 = -9*b. Let q(x) = x - 3. Determine b*q(t) + m*f(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26192111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1050?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/15 - 152*m**4\/15 + 72*m**3 + 608*m**2\/15 - 4352*m\/15 = 0. Calculate m.\nAnswer: -2, 0, 2, 8, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7574305, 7574314, 7574325, 7574338, 7574353, 7574370, 7574389?\nAnswer: 7574410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k**2 - k)*(4*k**2 - 24*k**2 + 0*k**2) + 2*k**4 + 0*k**4 + 0*k**4 + 4*k**4 - 2*k**4 - 3*k**4 + (2*k**3 - 6*k**3 + 3*k**3)*(-2*k + 0*k + 5*k).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*l + 1 = 0, 9*i - 2*l = 4*i + 14. Suppose 0*p = 2*p - i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-9)\/((-81)\/(-36)))*-46 + -7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1446167 (base 9) to base 16\nAnswer: -c2ebd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 7:08 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*w = -19, -28*j + 29*j = -4*w - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/7875 and -47\/871500.\nAnswer: 2614500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 236281015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (2 - (-7 + 4)) + (9 - 14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5436 is divided by 1805?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + g + 1, 3*g + 21 = 3*w. Suppose -3*z + 2*z + w*c = 0, 15 = 5*c. List the prime factors of 179\/3 + ((-4)\/z - 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + 1*6*sqrt(171)*-1 + -4*2*sqrt(171) + sqrt(171) + 1*sqrt(171) + -1))**2.\nAnswer: 9000*sqrt(19) + 616225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13212002 (base 6) in base 9?\nAnswer: 735632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1506d (base 15) to base 8.\nAnswer: 40076570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367987?\nAnswer: 151, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 + 5*f + 7. Let v be s(7). Let d(x) = 699*x + 155. Let z(l) = -877*l - 194. Let t(a) = -14*d(a) - 11*z(a). Is t(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1769642?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -47, -109, -197, -311?\n\"Answer: -13*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.53173717 rounded to 3 decimal places?\nAnswer: 107.532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -73452*s - 115. Let k be p(-12). Let j = -499309 + k. Round j to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -338 + 315.1. Let i = 25.25748 + -2.34758. Let v = f + i. What is v rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210210112011 - 1101?\nAnswer: 210210110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let p(j) = -1 - 25*j**3 + 23*j**3 + 0*j**2 - v*j**2 - 1. What is p(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - 11754?\nAnswer: -12046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -301896 bigger than -301804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:40 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17392051.\nAnswer: 17392051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**3\/3 - 142418285*u**2\/3 - 338049488775400*u - 338049441302640 = 0.\nAnswer: -14241828, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261016 = -656*r - 4*r - 1273*r - 2491*r for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -134.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:15 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t**2 - 5*t + 14. Let g be (-8 - -5 - -5)*78\/4. Let b(x) = 119 - 2*x + 6*x**2 - g - 40 - 35. Give 11*b(j) - 4*k(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/(-494))\/(12\/26)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a + 3*a - 59512*a**3 + a.\nAnswer: -59512*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1881421, 3762708, 5643995, 7525282?\n\"Answer: 1881287*l + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(-41)\/((v\/v**14)\/(v*v\/((v\/v**(-14))\/v))) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 13*g + 12 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-36) - 3608\/(-36). Suppose -i + 10 = -2*u. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.24283 less than -1?\nAnswer: 90.24283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 11. Suppose -2*n + 15 = 5. Sort n, 3, q in increasing order.\nAnswer: q, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000001011110010001 (base 2) in base 13?\nAnswer: 64a805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 - 2*f + 2*f)*(7 - 7 + 11*f**2) + (0*f - 4*f + 3*f)*(0*f**4 + 0*f**4 - f**4) + 0*f**5 + 0*f**5 + 2*f**5.\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j - 3*j + j)*((-4 + 0 + 5)*(3 - 6 + 2) - 4 + 3 + 0)*(395 + 8*j - 395) to the form a*j**2 + c*j + n and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1553, -4, -37, 2 in ascending order.\nAnswer: -1553, -37, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -4793\/1339?\nAnswer: -4793\/1339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**2 + 7*b - 5. Let g be r(0). What is the first derivative of -3*j - 5 - 3*j - g*j + 7*j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4131.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -0.1 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53676315 divided by -315.\nAnswer: 170401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23296 = 7*j - 35*j. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r + 7. Let c be w(6). Let l(o) = -o + 13. Let v be l(c). Suppose -v*b = -2*b - 16. Solve 2*m - 9 = -m - 3*g, b*g + 8 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let t(m) = m. Let q(g) = o(g) - 3*t(g). Let l(n) = n + 1. What is 4*l(k) + 3*q(k)?\nAnswer: k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -29*r. Let a(d) = 874*d**2. What is a(h(x))?\nAnswer: 735034*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 561067621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - o = 56, 4*o + 61 = 2*h - 1. Let n = 16 + -7. What is the highest common divisor of n and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6643 - -4595. Let y = q + 10288\/5. Solve 147\/5*p + 24*p**4 + 501\/5*p**3 + 3 - y*p**5 + 93*p**2 = 0.\nAnswer: -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 78\/(-18))*(-18)\/(-4). Suppose -3*g - 3*a - 18 = -8*g, 0 = p*g - a - 14. Differentiate 11*f**4 + 6*f**3 + 2 - 6*f**3 + g*f**4 wrt f.\nAnswer: 68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -254541, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30655333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-224)\/(-126)*18\/4. Find the second derivative of -t*b**2 - 29*b**2 - 15*b - 22*b - 65*b**2 wrt b.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 2\/3, 135, 6\/5 in descending order.\nAnswer: 135, 3, 2, 6\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 17*t**2 + 1652*t - 3304. Give u(2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4\/7 - 424*x**3\/7 + 3100*x**2\/7 - 7184*x\/7 + 5424\/7 = 0. What is x?\nAnswer: -113, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p + 158 = -42 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/2 + 9\/14. Suppose 5*t - 51 = -2786. Let z = t + 6012\/11. Calculate the common denominator of z and m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -639600, -44 in ascending order.\nAnswer: -639600, -44, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from {g: 1, y: 1, l: 3, x: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.9 - 14.1. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2056335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 2*v**2 + 4*v. Let m(y) = 6*y**3 + 4*y**2 - 6*y. Let p(r) = 7*r**3 + 4*r**2 - 5*r. Let f(i) = 4*m(i) - 3*p(i). Give -5*c(a) - 2*f(a).\nAnswer: -a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11216*a + 5874 wrt a.\nAnswer: -11216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 704, -7, -718, -1429, -2140?\n\"Answer: -711*t + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97855 divided by 19571?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -305 divided by 2356\nAnswer: -305\/2356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 - 379 - 39*k**3 - 2*k - 23*k - 104.\nAnswer: -39*k**3 - k**2 - 25*k - 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 91. Suppose 0 = s + s - q. Calculate the remainder when 83 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 1176*q\/5 - 1178\/5.\nAnswer: 2*(q - 1)*(q + 589)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 w when four letters picked without replacement from {w: 4, j: 2, o: 4, l: 3, k: 1, f: 3}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/4 - (0 + 2). Let y = 1214 + -675. Let n = -538 + y. Which is the smallest value? (a) x (b) -0.04 (c) n (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by -5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0208779 rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*q\/(q**(-1\/8)\/q))\/(q**(-2\/7)\/q)**(6\/7) assuming q is positive.\nAnswer: q**(7109\/1960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((264\/9)\/(-4))\/((1428\/1904)\/(27\/(-8)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than or equal to 702\/773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 - 76\/(-18). Suppose -5*g + 487 = i, -1996 = -4*i - 0*g - k*g. Is i 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 534612650 and 1100?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 66*x + 68*x - 11, 0 = 4*j - 3*x - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let z = -11.1 + -51.9. Let d = -52 - z. Is d smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 3*o - 12 = 0, -3*o = 95*n - 99*n + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -554*l**2 - 918 with respect to l.\nAnswer: -1108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + -0.1. Let z(u) = u**3 + 4*u**2 + 3*u - 4. Let q be z(-3). Let f = -2982 - -2981. Which is the biggest value? (a) f (b) -0.2 (c) q (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -262.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -46057281 greater than -46057283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348558, 2788400, 9410844, 22307190, 43568738, 75286788, 119552640?\nAnswer: 178457594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2. Let h(j) = -5*j. Suppose 0 = -0*w + 5*w - 20, -w - 6 = 5*a. Let o(z) = 66*z. Let i(q) = a*o(q) - 27*h(q). Give i(n(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99614 is divided by 435.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*g**2 + 0*g**2 - 26*g**2 - 20*g**2 to y*g + f + l*g**2 and give l.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 2*z**3 + 0*z**2 + 23*z**3.\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f**2 - 45*f**2 - 2*f**2.\nAnswer: -83*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37876778 by 18938389.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -2 + -4 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o. Let m(s) be the second derivative of -5*s + 0 + 0*s**2 + 1\/4*s**4 + 0*s**3. Give m(l(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3833410?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9803, -9804, -9805, -9806, -9807?\n\"Answer: -g - 9802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4352 (b) -0.4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1543344 and 8954?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 16*w + 3*j, 110*w + 11*j = 110*w + j - 40 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 10:57 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6*y - 2*y + y + 14*y - 13*y**2 - 4*y to the form x + u*y + p*y**2 and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.052 + 3.052. Sort 2, 8\/3, c, 1\/4.\nAnswer: 1\/4, 2, 8\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 4078730.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11090?\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 244 = -104. Let a be (-33)\/198 + k\/6. Let c(n) = -n**3 + n**2. Let x(t) = 5*t**3 - 7*t**2 + 2. Give a*c(d) - x(d).\nAnswer: d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 10*q - 40*q. Suppose 0*a + 3*a + 6 = 5*k, 0 = a + k - 6. Let z(b) = a + 0*b - 2*b + 4. Give z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 41, 81, 143, 233, 357, 521?\n\"Answer: p**3 + 2*p**2 + 11*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(2 - 3 + 3)*(-10 + 21 + 13)*(0*y + 0*y + y).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3716 times 12408?\nAnswer: -54242.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10453700 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/8008 + -5077\/152152. Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szj when three letters picked without replacement from ssjskkzvvsvsk.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -272\/75 smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -65 + -176 + 203?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 262430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 408.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 18*q - 22. Let h be w(-17). What is the second biggest value in 0, 1\/3, -1\/6, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3157 and 59.\nAnswer: 3216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3\/5 + 366*a**2\/5 + 3312*a - 16928\/5 = 0.\nAnswer: -92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5355\/4 - -48109\/36. What is the common denominator of -103\/6 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y**2 + 28. Let f(u) = -9*u**2 + 14*u. Let s(h) = -8*h**2 + 12*h. Let m(d) = -6*f(d) + 7*s(d). Calculate m(j(n)).\nAnswer: -72*n**4 - 672*n**2 - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**2 - 3*h - 2. Let k(g) = -g**2. Suppose 0 = -3*q + 12. Let i(j) = q*k(j) - o(j). What are the prime factors of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - 4. Let r(a) = -2 - 113*a + 48*a + 67*a - 3*a**2 + 4*a**2. Let f = 3 + -5. Let t(m) = -2*m**2 - 7*m + 7. Determine f*t(h) + s*r(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7.7. What is the third biggest value in 0.1, x, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/11 + 48*t**3\/11 - 4162*t**2\/11 - 12792*t\/11 - 8584\/11 = 0. Calculate t.\nAnswer: -58, -2, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 13146*w + 620074. What is m(47)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/21 - (-114)\/1197\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + 0*o)*(o**3 - 5*o**3 + 2*o**3 + 1110 + 51*o**3 - 1110 + (5 - 2*o - 5)*(-2*o**2 - o + o) + o + 2*o**3 - o).\nAnswer: 55*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -244324 (base 5) to base 7\nAnswer: -36141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 7*w**3 - 5*w**3)*(-5 + 0*w**2 + 2*w**2 + 5*w**2).\nAnswer: -56*w**5 + 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-5982.\nAnswer: -2991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a factor of 118844910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -61. Suppose -s*d - 24 = -4*o, -o - 6*d + 2*d = 4. Suppose 2*m + 213 - 9 = 2*j, o*m + 511 = 5*j. List the prime factors of j.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117994 by 4.\nAnswer: 58997\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 25*b - 125. Let h be s(-20). Put -3, 2, h in descending order.\nAnswer: 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + p - 40 = -53, 66*y - 68*y - p = 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290.26 rounded to the nearest ten?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 9*r**2 + 16*r - 54. Calculate the least common multiple of 62 and p(10).\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -263 * 67458.\nAnswer: -17741454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 4*k**4 - 2*k**4 + (-56*k + 51*k**3 + 56*k)*(2*k - 4*k + 0*k) in the form y*k + c*k**3 + z + a*k**2 + f*k**4 and give f.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95926820 and 53?\nAnswer: 95926820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.157 - -1.053. Let s = y + -1.5. Round s to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -12. Sort 0, l, -2.\nAnswer: -2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**5 - 23049756*y**2 - y - 290858.\nAnswer: 60*y**3 - 46099512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 a factor of 231856545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 51284.4357 rounded to the nearest ten?\nAnswer: 51280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -3*b, -2*b = 5*h - 0*b - 16. Suppose 0 = 6*j - 3*j + d - 14, h = -j + d. Let f(u) = -u**3 + 3*u**2 - u + 1. Calculate f(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + (-9 - -32) - 92?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(242) + sqrt(242) - 3*(sqrt(2) + sqrt(2)*4)) + (5 + (-2 + sqrt(72))*-2)**2.\nAnswer: -209*sqrt(2) + 370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Suppose 0*d + 205 = c*d. Suppose -5*n - 4*w + d = -2*w, 3*w = -4*n + 37. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - j + 9029 + 7602 = 0, -5*f = -j - 83167. Let o = f + -8624. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 2:26 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 11\/96*l**4 + 0 + 7\/480*l**6 - 1\/15*l**5 + 0*l + 117*l**2 - 1\/12*l**3. Factor q(a).\nAnswer: (a - 1)**2*(7*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*n + 11, -2*h + 0*h = -5*n - 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 22144?\nAnswer: -7\/11072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(u**4 + 3 - 3) + 4*u**4 - u**4 - 2*u**4 + (-3 + 4 - 2)*(u**4 - 3*u**4 + 4*u**4) + (0*u**4 + 0*u**4 - u**4)*(-2 - 2 + 6).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1271 - 4*l**3 + 5*l**3 - 2*l**3 - 463.\nAnswer: -l**3 - 1734","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*z + 298 = 14, 19*z - 18*z + 2204 = 24*m for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17\/(-34))\/(2\/12). Let s = 51 + -55.4. Let z = -4 - s. What is the closest to z in 5, q, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191108157?\nAnswer: 3, 47, 103, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 5744830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2367564cm in kilometers?\nAnswer: 0.000002367564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(143) + sqrt(143)*-2))\/(sqrt(99) - sqrt(99)*2).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/3869 - -46679\/16563189. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157 minus -72?\nAnswer: 72.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = m, -3*m = o + 1 + 2. What are the prime factors of 0 + 1074 + -5 + m?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/96*(6\/7)\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*m + 2\/13*m**2 + 5850.\nAnswer: 2*(m + 195)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*l - 323*l + 42. Is l a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5*w = 16, -n + 4*w = -4 - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 705.36.\nAnswer: 710.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 6, -15, -58, -129, -234, -379, -570?\nAnswer: -813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 362239502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4212 and 1134.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2534.297 meters?\nAnswer: 2534297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1392, 1748, 2342, 3174?\n\"Answer: 119*m**2 - m + 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - u = -176259, -3*u + 167213 = 2*n + 49707. What is the ten thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 327924\/(-52143) - 2\/(-7). Let x = t - 250623\/49660. Calculate the common denominator of -97\/986 and x.\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u**2 + 11*u - 31. Determine x(3).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l + 4*l - 4*l + 9*l + 2*l. Let m(n) = -32*n - 2. Determine b(m(o)).\nAnswer: -416*o - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93, 187, 271, 339, 385, 403, 387?\n\"Answer: -y**3 + y**2 + 98*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.977 (b) 0.254 (c) 116 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -13*c - 34 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 24, 43, 54, 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4383013 greater than 4383012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -188095013*m**3 - 193027027 wrt m?\nAnswer: -564285039*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 3 - 3)*(-1 + 6 + 10) to z*q + x and give z.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 4*p - 2*s - 488, 0 = 2*p - 2*s - 242. Let w(x) = x**3 - 52*x**2 + 16*x - 3632. What is the remainder when p is divided by w(53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 539?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmkkkm. What is prob of sequence mk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17312 + -86589\/5. Let i be -2 + 2 + (-4654)\/(-90). Let l = -268\/5 + i. Calculate the common denominator of d and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = 2. Let y be (2 - -2)*(u + 2). What is the third derivative of 3*f - f**4 - 4*f**4 - 3*f + y*f**2 wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104479482 divided by -245257.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.87 - -0.13. Let r = -14 + t. Let s = -6 - r. Which is smaller: 5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + b. Let j(p) = -3*p**2 - 2*p - 5. Let f(i) = j(i) + 2*v(i). What is the first derivative of f(x) wrt x?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.94727 + 0.05273. Let z = 275 - 4123\/15. Let p = -7.97 - 0.03. Which is the second smallest value? (a) u (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 3*x = -5*s - 19, 8*s - 5*s - 18 = -33 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from dnddndndpdndd?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-8) - 18\/(-12). Let g be (8\/(-110))\/(2\/(-5)). What is the second smallest value in h, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3281*j**2 - 1543484 + 1543484)*(-3*j + 2*j + 0*j + (-2*j - 5*j + 6*j)*(1 + 0 + 1) + 4*j + 0*j - 2*j) to u*j**2 + b*j + z*j**3 + d and give z.\nAnswer: 3281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-31)\/((-620)\/(-15)))\/((-6)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4671 is divided by 233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3*r + 11*p**2*r - 257*p*r wrt p.\nAnswer: 6*p*r + 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**4\/4 + n. Let l = 8 - 4. Let r(i) = -i + l - 4. What is r(x(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 1. Let f be h(1). Suppose f*t - 4*z - 145 = z, t = 2*z + 71. Factor 3*a**2 + t - 65.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 - 0.6?\nAnswer: 381.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 431, 965, 1719, 2699, 3911?\nAnswer: 5361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*s**3 + 13*s**3 + s + 4*s**3)*(-1 + s**2 + 1) + s**5 - 5*s**5 + 2*s**5 + (-1137 - 217*s**2 + 1137)*(0 + 0 + 2*s**3).\nAnswer: -433*s**5 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 6 + (17 - (3 + -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3100\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (6783\/(-408) + 16)\/(3\/4)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*x - 2504 - 989 = 1400*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1321.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 + 82 = 2*b + 2*p + 192, -2*p = -4*b - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 399 = -0*p. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -i - 6*t + 4435, 2*t + 2 = 0. Is 29 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**2 - 38*d**2 - 10*d**2.\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-9) - ((-12)\/18 + 2). Find the first derivative of 29*i**2 - 105*i**j - 31*i**2 - 11*i**2 + 34 wrt i.\nAnswer: -236*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/7))**(-5))**28)**(-19) assuming w is positive.\nAnswer: w**760","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**2 + 0*o**3 + 3\/20*o**5 + 0 - 10*o + 1\/4*o**4. Find the third derivative of r(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 20*s**4 - 10*s**3 + 2*s**2 + s**2 + 43*s**4 - 94*s**4 + 1 + 26*s**4 as c + k*s**2 + n*s**3 + j*s + o*s**4 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/319 (b) -5 (c) 0.3 (d) 13 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.1 (b) 3 (c) -2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b)\/((b*(b\/((b*b\/b**(2\/19))\/b))\/b)\/b)*(b\/(b*(b\/(b\/(b\/b**6)))\/b*b)*b)\/b**9*(b*b\/b**(-2))**(7\/8)*(b**0)**(-13) assuming b is positive.\nAnswer: b**(201\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8 + c + 11 - 19. Let w(z) = -1 + 2*z + 3 - 1. Determine 3*v(x) - w(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 2c?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 0*h - 4*h)*(-3*h**2 + 3*h**2 + 6*h**3) as m*h + x*h**4 + c*h**2 + b + q*h**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40591487614 + 129.2.\nAnswer: -40591487484.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 139, 281, 481, 739?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/87 or -1?\nAnswer: -22\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 1:37 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7 less than 12.975?\nAnswer: 4.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -831, -1294, -1805, -2376?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00889902 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + (39 - 49) - (5 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 16?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -144*w - 25. Suppose -1 = c + 2*r, 3*c + 2 = -5*r - 3. Is g(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*g - 105. What is the remainder when 152 is divided by (-55)\/(-2)*g\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 9, r: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2641*u + 6. Let c be g(3). Let m = c - 4774. Calculate the common denominator of 85\/18 and m\/350 + (-2)\/(-21)*3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1156 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7759 times 3?\nAnswer: 23277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -1. Let x = m + -10. Let c(f) = f**3 + 6*f**2 + 4*f - 3. What is the remainder when 4 is divided by c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 at most as big as 872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -571*l**4 - 10282*l**3 + 11529*l**2 - 1917 wrt l?\nAnswer: -13704*l - 61692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25147976379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 14*z**2 + 4 - 5 - 1.\nAnswer: -14*z**2 + 12*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.346122 and 0.3?\nAnswer: 0.1038366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + 3*o**3 + 4*o**3 + ((2 - o - 2)*(-19*o + 15*o - 86*o) + 3 - 3 + o - o**2)*(-4*o + 7*o + 6*o).\nAnswer: 804*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16635, -31343, -46051, -60759, -75467, -90175?\nAnswer: -104883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**3 + 128*d**2 + 944*d + 1408 = 0?\nAnswer: -22, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/111 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-2)*27\/45. Let h be 40 + -2 + (q - -4). Suppose -h = -2*r - r. What is the remainder when 50 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (134 - 182) + -10 + 15 + 123\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 12. Let k be (12\/15)\/((-2)\/30). Let o be s(k). Suppose -3*m - 5*h + 100 = 2*m, o = 4*m + 2*h - 76. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11041041 (base 5) to base 13\nAnswer: 34b51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74214115 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00640278 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1982264*m*x**2 - 6530*m - 12*x wrt x.\nAnswer: -3964528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4 + 432*w**3 + 426*w**2 - 432*w - 429 = 0?\nAnswer: -143, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(0 + 2 - 1)*(35*v + 25*v - 6*v) to b*v + m and give b.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s\/(s*s*s*s**(3\/13))))\/(s\/(s**(2\/25)\/s))*s**(-2\/5)*s\/s**2*(s*s**(-4)*s\/s**2)\/(s*s\/s**(-2\/5)*s*s*s)**(-43) assuming s is positive.\nAnswer: s**(73486\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/1080 + r**6\/240 - r**5\/180 - r**4\/24 - 4*r**2. Let s(w) be the second derivative of y(w). Factor s(q).\nAnswer: -(q - 1)*(7*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:18 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -913, -2064, -3667, -5716, -8205?\nAnswer: -11128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (11 + 1) - (2 - (6 + 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.64 (b) 3 (c) 2\/5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*n**4 + 2*n**3 - n - 75 wrt n.\nAnswer: 648*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*d + 5*o = 332*d - 24, 60 = 2*d + 4*o. Suppose 6*z - z = 3*a + 421, z - 5*a = 71. What is the remainder when z is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00630396325 rounded to five decimal places?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/17 + 1\/34. Which is the closest to t? (a) 0.2 (b) 6 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*2*(-18)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122002000 (base 3) to base 8\nAnswer: -30237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**5\/20 + 3*k**4\/4 + 3*k**3\/2 + 7*k**2 + 24*k + 45. Let d(s) be the first derivative of l(s). What is d(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68? (a) -3 (b) -171 (c) -2 (d) 2\/7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 151682, 303236, 454674, 605996, 757202, 908292?\n\"Answer: -58*z**2 + 151728*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -326*p**3 + 9453*p**2 + 12*p + 498. Determine g(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1625616692 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 18 = 4*c, -3*b - 3*c + 18 = 0. Find the third derivative of 13*n**3 - 2*n**2 + 6*n**3 + 10 + 8*n**b - 13 + 15 wrt n.\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((12 - 1) + -7 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(170 - 170 - 10*a) - 3*a + a - 2*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 60*n + 69*n + n**2 + 3*n**3 to v*n + q*n**3 + f*n**2 + b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*y = 2*y + 21, 2*q - 4*y = -32. Is (489\/q)\/(2\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 7*c + 7*c**3)*(-4*c + 3*c + 2*c) + 20*c**4 - 18*c**4 - 50*c**4.\nAnswer: -41*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 4877?\nAnswer: -4877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + s + 85*j - 34 = -124, 0*j + 13 = 2*s - 3*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 312 - 306. Suppose -w = -13*a + 23. Let n be 1\/4 - 57\/(-12). Solve -n*s + a*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(11) + 3)**2 + (sqrt(396)*-5)**2.\nAnswer: 12*sqrt(11) + 9947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*w - 13530, -12*r + 3*w = -17*r + 13490. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by (((-44)\/(-55))\/((-4)\/(-62)))\/(2\/10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from puuuupuuupppuuuuup?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3) + (3 - (5 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*2 + sqrt(108))*-1)\/(sqrt(24)\/(sqrt(8)\/sqrt(2))).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1190 - 2a5?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynqqnqqq. Give prob of picking 2 q.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85954 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b + 4. Let z be c(-2). Let t = z + 112. Suppose -6*g = 3*g - t. Calculate the smallest common multiple of 21 and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(228) - 2*(sqrt(228) - sqrt(228)*1))\/(sqrt(36)\/(sqrt(3) - sqrt(48)*-2)))**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 498923106?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let n = -1.2 + -3.8. Let u(v) = 2*v**3 + 6*v**2 + 3*v + 1. Let y be u(-2). Sort n, y, o in decreasing order.\nAnswer: y, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 2072*g - 268324.\nAnswer: -4*(g - 259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 19*m - 43797 = -15*g, 0 = -4*g + 5*m + 11661. Calculate the remainder when g is divided by 1458.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*o**2 + 817*h**2*o + 313*o**4 wrt o.\nAnswer: 2*h**2 + 3756*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2465*u**5 - 553*u**2?\nAnswer: -147900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 20 = 5*m. Let d(u) = u + 5. Let c be d(4). Suppose -7 - c = -m*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three twentieths of a litre in millilitres?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 22.4491 decades in years?\nAnswer: 224.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 150 = 52*d. What is the remainder when 1454 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17ad8 (base 16) in base 4?\nAnswer: 113223120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 5*y**3 - 7)*(3*y**2 - y**2 - y**2 + (0*y - 2*y + 3*y)*(y - y + 2*y) - 4*y**2 + 3*y**2 + 3*y**2).\nAnswer: 25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 2. Let n be 0 - -2*2*16. What is the units digit of (g\/2)\/(2\/n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337824 (base 13) in base 7?\nAnswer: 13224063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 781 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 j when four letters picked without replacement from {p: 2, c: 4, x: 1, u: 1, j: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55389183?\nAnswer: 3, 2579, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -916*l + 919*l + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.088609 - 19.124109. Let k = -19 - v. What is k rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.3 - 1.3. Let z = 8 - h. Which is greater: 12 or z?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 4*t = 24, -t = 5*u - 18. Suppose 3*b - 4*y = 31, -u*b + 2*y = b - 75. Factor 3*p - 17 + b - 3*p**2.\nAnswer: -3*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -461*v - 4. Let g(r) = 517248*r + 4490. Give -4*g(w) - 4490*z(w).\nAnswer: 898*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 641*v - 9894*v**2 - 3882*v**2 - 58 - 1764*v**3 - 70 + 2031*v.\nAnswer: -4*(v + 8)*(21*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 6*y**2 + y + 3. Let d be x(-6). Let k(z) = -z + 25. Let w be k(18). Let i = w + d. Solve i*j = -9 - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3703871698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-5))**(-1\/4)\/((l*l**(-7)*l)\/l**(-1\/7))**35 assuming l is positive.\nAnswer: l**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 249*h**2 - 1145 wrt h?\nAnswer: 498*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -305811, -305969, -306127?\n\"Answer: -158*a - 305653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-6) + 4\/6. Let f = -162.4 + 162. Which is the nearest to w? (a) -2\/3 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-20))\/(152\/(-760))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 540449898?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 3. Let c be l(-7). Let j = -6 - c. What is the units digit of j + 1 - (-3 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35143.843796 plus 43?\nAnswer: -35100.843796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -15*r + 2. Let o(v) = -41*v + 96. Let g be o(r). Suppose -1 = -0*a - a. Solve -a = 3*t + g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:21 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a - 50. Let b(q) = 8*q + 23. Let j(k) = -13*b(k) - 6*o(k). Let p be 135\/(-30)*(-2)\/3. Determine j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 550598154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2311 + -2314. Let m = 0.8 - 4.8. Put i, -2\/7, 1, m in ascending order.\nAnswer: m, i, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 78 = 11*g - 10*g, 2*w + 2*g = 34. Suppose 4*d - w*y - 60 = -17*y, 0 = d + 4*y - 33. Solve -d = 4*h + o, 0*h = -h - o - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1873\/472 + -212\/59. Which is greater: h or -1\/792?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3*p - 4. Let j be c(-3). What is the common denominator of 11\/3 and (-694)\/(-70) + 4\/j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)*15\/75*5. Let h(x) = -2*x**2 + 7*x - 1. Let u(a) = 1. Calculate o*h(z) - u(z).\nAnswer: -2*z**2 + 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 1\/10, -3, 36, -0.25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1240, -1, -6477, 3 in decreasing order.\nAnswer: 3, 0, -1, -1240, -6477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)*r)**(2\/71)\/((r**(-13\/4)\/r)\/r**(-18)))**43 assuming r is positive.\nAnswer: r**(-171011\/284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**2 + 10 + d**3 + 10*d - 12*d + 0*d**3. Let x be 3 + (-3)\/((-6)\/8). Calculate t(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108162 divided by -12018.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54000)\/175)\/(-18))\/(87\/203)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*q + 10. Suppose 0 = v - q + 3. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 876285206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00800732502 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1161 + 780. Let v = r - -381.0000765. Round v to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 207005 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let f(x) be the third derivative of x**7\/1008 + x**5\/60 + 5*x**2. Let b(c) be the third derivative of f(c). What is b(p(v))?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (730\/4)\/(35\/28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307815 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -329*h**5\/12 - 149*h**4\/12 - h**3\/6 - 14*h**2 + 2. What is the second derivative of o(x) wrt x?\nAnswer: -3290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692533955 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -17*v**2 + 919*v - 7188. What is z(9)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 790236\/(-12) + (-2 - 6) + 1. What is i rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 5*w + 1. Let h be k(-3). What are the prime factors of (-222)\/(-16) + h\/32?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.427? (a) -1.4 (b) -1 (c) 3\/2 (d) 0.3 (e) 10 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 26.2. What is the fourth biggest value in 0.4, 2\/13, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59314000 rounded to the nearest one hundred thousand?\nAnswer: -59300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 116*g + 112.\nAnswer: 4*(g + 1)*(g + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 29 = -o, -13*o - 3*w - 45 = -10*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*q**2 + q + 1 + 25712*q**3 + 141*q**2 - 411*q**2 + 136*q**2.\nAnswer: 25712*q**3 + q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 3*q**7\/14 + q**6\/10 - 33*q**5\/20 - 9*q**4\/4 + 2*q**3 + 6*q**2 + 4*q - 16. What is z in a(z) = 0?\nAnswer: -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1358544.\nAnswer: 2, 3, 11, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3843 - 9020*s**2 - 3576*s**2 + 573 wrt s.\nAnswer: -25192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = 0. Let d = h + 2. Suppose -7*a = -d*a - 15. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2866 (base 9) to base 5\nAnswer: -32131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = z + 65, 0 = 9*n - 4*n + 3*z - 113. What is the greatest common factor of 143 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 809.64611548027 - -0.5.\nAnswer: 810.14611548027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4989 + 5609 = 62*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 42*q + 420. Determine j(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 + 15 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = 70*t + 540 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -4. Let h(z) = -z**2 + 2*z + 2. Let a(j) = j**2 - 2*j - 2. What is o*h(v) - 6*a(v)?\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.5715976 rounded to 2 decimal places?\nAnswer: -210.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255 + 226 - 863)*(0 - 4 + 3)*(-30 + 31*d + 30).\nAnswer: 11842*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(-1\/4)\/(i**(2\/9)\/i**(1\/7)) assuming i is positive.\nAnswer: i**(11\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 628*a**3 + 109*a**2 + 2. Let z(d) = -2*d**2 - 1. Let c(t) = -h(t) - 2*z(t). What is the third derivative of c(j) wrt j?\nAnswer: -3768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 + -11)\/(1 + -2). Solve 0 = 5*a - 5*y + 5, 2*a - r*y + 2*y = 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10. Suppose 5*i = -m + 140, c = -2*i + 3*i + m - 24. Let b = 5 - -10. Calculate the remainder when i is divided by b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 767*z - 1. Let l be f(3). Let o = l - 577. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15867*a**2*w + a + 10821*w wrt a?\nAnswer: 31734*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - 2*u**2 + 142*u - 1. Let k(j) = -j**3 - 2*j**2 - j - 1. Determine h(d) - k(d).\nAnswer: -3*d**3 + 143*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.73 + 0.27. Let c = s - 36. Which is greater: -0.3 or c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -897905931, -897905932, -897905933, -897905934, -897905935, -897905936?\n\"Answer: -s - 897905930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8)*(-80)\/(-84). Let o = h - 4\/7. Are 0.5 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 85 (b) -70 (c) 5\/2 (d) -3 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -7749.\nAnswer: -1\/7749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/12*1*(-2)\/2. Let v = 0.3 - 0.3. Let b = v - 0.1. What is the closest to j in 3, 1\/8, b?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14218, 28441, 42664, 56887, 71110?\n\"Answer: 14223*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10028597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8714, -45, 2, 3, -69, -3 in decreasing order.\nAnswer: 8714, 3, 2, -3, -45, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2. Let f(g) be the third derivative of g**8\/2016 + 7*g**5\/30 - 5*g**2. Let z(d) be the third derivative of f(d). What is z(l(r))?\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 2 in decreasing order.\nAnswer: 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from {e: 2, o: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y, 3 = -3*g - y + 9. Suppose 3*d + g*s = 62, -2*s - 42 - 16 = -2*d. What is the remainder when 89 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 99. Let n(y) = 2*y**2 + 3*y - 1. Calculate n(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -3 - sqrt(245) - (sqrt(320) + -4).\nAnswer: -8*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -884 divided by 6.\nAnswer: -442\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/35, 1\/3, 0, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7. Let w(m) = m - 1. Let u(q) = -6*w(q) + 3*z(q). Let o = -22 - -16. What are the prime factors of u(o)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553168 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956150 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11*s**2 - 3*s. Let k(u) = -188*u**2 + 52*u. Give 6*k(f) + 104*w(f).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71592?\nAnswer: 2, 3, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300740 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = d + 3*m, -4*d = 12*d - 11*d - 5*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*q**2 - 22*q**2 - 2 - 60*q**2 - 125*q**2 - 19*q in the form y + j*q**2 + v*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - 12 - 20 - (-15 - 5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Let k(n) = -9*n - 8. Let p be k(-8). Suppose 3*o - 23 = p. Let d(s) = -o*s + 29*s - s**2. Calculate d(j(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -2, 2\/17, 4\/17, 0.0288?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31393.18um to meters.\nAnswer: 0.03139318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11820 and 16876005.\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 55 = 49. Let u(r) be the first derivative of -4\/3*r**3 + r**4 - 2 + 6\/5*r**5 - 2*r + 1\/3*r**6 - j*r**2. Let u(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174*n**3*o**2 - 2*n**3*o + n**3*w**2 - 2*n**2*o + n*o**2*w**2 - 645*n*o*w**2 + 2*n*w**2 wrt o.\nAnswer: 348*n**3 + 2*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 445 divided by -445\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 + 4*x**3 + 6*x**3 - 10*x**2 - 14*x**3 - 5*x - 2*x as t*x**3 + j + i*x + z*x**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 26 = 5*f - f, 5*f - 30 = -2*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*w = 45, -4*d - 11 = 2*w - 3*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/3*27\/12. Let a be (3\/(-4) - 39\/g) + 1. What is the nearest to 2\/5 in 0.3, 0, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.37 and 0.22.\nAnswer: -0.3014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24217153 plus -0.332172?\nAnswer: 24217152.667828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249556159?\nAnswer: 249556159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**2. Let x(c) be the second derivative of -413*c**3\/6 - 10*c - 225. Give b(x(y)).\nAnswer: -852845*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 - -1531. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341093939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from {b: 6, j: 7, u: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0 + 10, 3*o = 4*y + 974. Let u = o + 271. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - -86) + (-15 - -53).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*q - 16396, -6*a + 3*a = 3*q - 9789. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 17. Let a(y) = 8*y + 50. Let c(q) = 4*a(q) + 11*l(q). Let p = 20 + -14. List the prime factors of c(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4007 is divided by 999?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4\/2 + 64305915*s**3\/2 + 172302064436688*s**2 - 516906482686722*s = 0.\nAnswer: -10717654, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 482 = 2*z, -9*w + z = -14*w + 1217. Suppose -251*a + w*a + 24 = 0. Solve -5*n - 4 = -i, 0*i = 5*i - a*n - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 3. Let h(c) = 4*c + 15. Determine -11*a(k) - 2*h(k).\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(-2 - 2 + 5)*(w**5 - 2*w + 2*w).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 5*f**2 + f - 8. Calculate i(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -67, -0.04, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 724*b**3\/3 - 755*b**2\/2 - 712. What is the second derivative of p(v) wrt v?\nAnswer: 1448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**1\/v)*v)**(-9\/5))**(5\/13)\/((v**(-3\/4)*v**(-2\/5))\/(((v*v\/v**(-2\/3))\/v)\/v*v*v**(-1\/5)*v)) assuming v is positive.\nAnswer: v**(217\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -68 (b) -0.03 (c) 4 (d) 0.086\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**2 - 1\/6*a**3 + 5\/12*a**4 + 0 + 3*a. What is the second derivative of j(u) wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r)**12*r**(-4\/3)\/r*r**(-1\/5)*r*r**(-2)*r\/((r*r\/(r**(-2\/9)*r*r))\/r*r)*r*r**3\/(r*r*r**(2\/3)*r) assuming r is positive.\nAnswer: r**(-1729\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13742747939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4\/4 + 81*l**3\/4 + 1239*l**2\/2 + 1656*l = 0.\nAnswer: -16, -3, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-2)**2*-4*-5.\nAnswer: 25600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005331 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.3 (c) 506 (d) -1\/9 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163222?\nAnswer: 2, 81611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 77 - 543 = -4*r, d - 2*r - 96 = 0. Is d bigger than 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -403*s - 320*s - 15906 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229 = -70*v + 188 + 2033 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-24)*-4 - 35\/(-21). Let f(m) = -x + 201*m - 395*m - m**2 + 196*m. Calculate f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -12*d + 13 - 6*d - 44 + 9*d. Give z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v - 13. Suppose -14 = a - 5*c, 5*c = 5*a + 6*c + 18. Let x be b(a). Suppose 4*q + 13 = -x. Let k(p) = p + 8. Give k(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -10, 20 = -5*z + 219*x - 224*x. What is the highest common factor of 733 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 6:27 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - b**2 - 8*b - 2. Is c(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -8 + -10 + 3 + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15607\/2 + -7843. Calculate the common denominator of w and 59\/3606.\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(931) + -5.\nAnswer: -4 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 12*c + 7. Let t be g(-11). Let o = t - -11. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -21, -46, -93, -168, -277, -426, -621?\n\"Answer: -f**3 - 2*f**2 + 4*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**0\/o)*o)\/o)**(-6\/7))**(-2\/93)\/((o\/(o\/o**(1\/3)))**(-1\/9))**48 assuming o is positive.\nAnswer: o**(3508\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -13. Suppose -210*y + 216*y = 8844. Suppose c*r - 7*t - 2948 = -2*t, 5*t = 2*r - y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -c + 16. Let j(s) = c*s + 16*s**2 - 61*s + 32*s**2. Let h(b) = b**2 - b. Give 40*h(p) - j(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -141969900, -141969910, -141969934, -141969978, -141970048, -141970150?\n\"Answer: -n**3 - n**2 - 141969898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = 5*f - 31, 4*h + 5*f = -22. Let s = -5828 - -5831. Which is the second smallest value? (a) s (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**3 + 5*k**2 - 4*k + 81. Let p(x) = -x**3 - 2*x**2 + x + 1. Let g(w) = b(w) - 3*p(w). Let r be g(11). Sort r, -3, 6.\nAnswer: -3, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13030*u**2\/3 + 273634*u\/3 - 28.\nAnswer: -2*(u - 21)*(6515*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6612 and 1540944?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 528*l**3 - 1189?\nAnswer: 1584*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5440291398?\nAnswer: 2, 3, 7853, 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/3, -3\/4, 0.055, -726?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3244505 (base 7) to base 9.\nAnswer: -665585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 542579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4304245 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/162 and 69\/22.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2236, 4606, 7124, 9796, 12628, 15626?\n\"Answer: w**3 + 68*w**2 + 2159*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.772 and -3?\nAnswer: 32.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 45 = -8*g. Suppose -153 = -3*s + 87. What is the least common multiple of 6 and (s\/(-2))\/(3 - g)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755 = -51*c - 1551 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*s + 2*s. Is 16 a factor of (s\/10)\/((-15)\/400)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r - 12*r - 8*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8884090 is divided by 74034?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjzjqq. What is prob of sequence gjqz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19990615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(168)\/(sqrt(1200)\/sqrt(8))*1.\nAnswer: -8*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*c + 6905 + 457 = 0, 3 = 3*c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11760051 to the power of 1\/2, to the nearest integer?\nAnswer: 3429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3 = o - 3*f, -4*o = -f - 12. Suppose -3*k = 2*z + 2*k - 8, 6 = o*k. Let g = z + 3. Which is the closest to 2\/3? (a) 0.5 (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -711 + 617. Are b and -94 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1885, 3787, 5689, 7591?\nAnswer: 9493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1054, -1099, -1146, -1195, -1246, -1299, -1354?\n\"Answer: -q**2 - 42*q - 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 63 + 94 - 41)*(-2*y - y + 6*y + (-3 - 1 + 5)*(6 - 6 - 4*y))*(2*y - y + y).\nAnswer: -320*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/11 - 28*y**3 + 15912*y**2\/11 - 280908*y\/11 + 265302\/11.\nAnswer: 2*(y - 51)**3*(y - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 301 + -3?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20*-1)\/(((484\/33)\/(-22))\/((-225)\/(-54)))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*g*i**3*m**2 + g*i**3*m - 8*g*i**2*m - 284*g*m**2 + 2*g + 5*i**2*m wrt m?\nAnswer: 16*g*i**3 - 568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/12 + a**3\/6 - 5*a. Let q be o(-2). Let r(t) = t**2 + 2*t + 6. Let x(m) = 1 + 4 - 6. What is q*x(v) - r(v)?\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18410 = -5*i + 2*f, 0 = 2*i + 3*i + f - 18395. Does 90 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2683603 (base 12) to base 9\nAnswer: -15328763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18071712 divided by 6.\nAnswer: 3011952","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 17768*b - 11800806 = 0. Calculate b.\nAnswer: -8161, -723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1120 and 5705?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 r when three letters picked without replacement from nrw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -84 - 134*u**3 - 188 + 118*u**3 as w*u + s*u**2 + o*u**3 + z and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7102739*w - 196 = 7102753*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**4 - 4*b**4 + 2*b**4 + (2 + 0 + 2)*(-2 + 1 + 3)*(b**4 + b - b).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.062 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3930\/(-1548) - (-3 + 0\/3). Let s = n - -5\/129. Factor 0*m + s*m**4 + 0 + 2*m**3 - 5\/2*m**2.\nAnswer: m**2*(m - 1)*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-104)\/(-28) + (-6)\/(-21). Suppose m*i - 2 = 34. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 10.5, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by -146\nAnswer: -59\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*h**2 - 2*h - 2*h**3 - 8*h**3 + 11*h**3 - 6*h**2 to the form d*h**3 + r + k*h + w*h**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143 + (-1 - (-111 + 370)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574692 - 3*o - 287351 + o - 287341.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -4 + (-4 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 44.2468.\nAnswer: 44.2468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*h - 654 - 398 = 698 + 425 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962773.\nAnswer: 131, 14983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**2\/7 + 2400*w\/7 + 720000\/7 = 0?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 21315.74 to the nearest one hundred.\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*z - 26*z + 6*z)*(-22*z**2 - 12*z**2 - 19*z**2) - 4*z + 4*z - z**3 as j + g*z**3 + t*z**2 + r*z and give g.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3516197905 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.13 and -6.39145518801?\nAnswer: 4.26145518801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5\/4 + 57*t**4\/4 - 243*t**3\/4 - 273*t**2\/4 + 915*t\/2 + 450 = 0.\nAnswer: -2, -1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2 + 3 - 4*c**3 - 2*c + 8*c**3. Let v be d(1). What is the smallest value in v, 0.04, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1957 - 1957 - s. Let q be 3*(-115)\/(-10)*2\/3. Suppose -3*w = -k - q, 2 = w + k + 1. Give c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4853, -9707, -14561?\n\"Answer: -4854*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**2 + 4*z. Let t(u) = u**2 - u. Let a(f) = i(f) + 5*t(f). Suppose -l = 30*g + 39, 3*l = -13 - 14. Give a(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 261*r**2 - 19*r + 141. Is z(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -22 + 52 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -8.93.\nAnswer: 1.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2184)\/4 - -1)*24. Let m = f + 7790. What is m rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.39 - 0.09. Let p = 6.296 + -8.296. Which is the biggest value? (a) p (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1852962 or 3?\nAnswer: -1852962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18090626 + 18090282 + 2*o - o.\nAnswer: o - 344","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1491.\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**4 + 744*m**3 - 15753*m**2 + 50544*m + 170100 = 0?\nAnswer: -2, 7, 18, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.05 (b) 0.2 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a millennium in years?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836, -1288, -848, 994, 4748, 10924, 20032?\nAnswer: 32582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 18 = 12*k. Solve -f + 1 = -k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*d**5 + 11*d**2 wrt d.\nAnswer: -2280*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2346\/3910 - (-118)\/(-30)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5 = -n, -3*n - 10 = 4*u - 35 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 469.01.\nAnswer: -1876.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*t - 165 = 27, 131 = 3*h + t. Suppose -41*p - 13960000 = -h*p. What is p rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 9647088.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1\/2, -4, -231.659, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -296 - -302. Solve y - o = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35299 (base 16) in base 6?\nAnswer: -4400041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f**(-1\/33)\/f)\/f*f)**(2\/11)\/(f*f\/(f*f**36)*f**(-1\/60)*f) assuming f is positive.\nAnswer: f**(82747\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -208, -421, -632, -841?\n\"Answer: t**2 - 216*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173541897 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s - 0. Suppose s = 4*o, 4*o = -2*p + 3*o + 5. Let z be 12\/14*p\/(-6). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 3*r)*(3*r**2 - 6*r**2 + 2*r**2) - 27*r**3 + 39*r**3 + 30*r**3 + (2*r**3 - 2*r**3 - 2*r**3)*(0 + 1 - 4).\nAnswer: 51*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)**(-4\/33)\/(k**(1\/3))**(-3\/19))**45 assuming k is positive.\nAnswer: k**(-645\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 794398?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 + -155.9. Let z = f - 0.1. Let a = z + 7.00000026. What is a rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b5 + -18?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 411182 = -122029. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140.9 + 141. Let r(u) = u**3 - 6*u**2. Let n = 4 - -2. Let i be r(n). What is the nearest to i in -1, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17726 and 575.\nAnswer: 10192450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/7 (b) 516 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q - 5*q)*(-q**2 + 5*q**2 - 2*q**2 + (2 + 2*q - 2)*(1 + 2*q - 1)) + (-10*q**2 + 7 - 7)*(-16*q + q + 7*q) + (4*q + q - 4*q)*(-q + q + 2*q**2).\nAnswer: 58*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1)*t)\/t*t**(-1\/11)*t*t\/((t**(1\/12)*t)\/t)*t*t**(1\/4)\/t assuming t is positive.\nAnswer: t**(137\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z**4\/3 + 689*z**3\/3 - 847*z**2 + 933*z - 54 = 0. What is z?\nAnswer: 3\/49, 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243713 is divided by 130?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 + (-48)\/(-21). Suppose 3*v = -c*a + 19, -2*a + 5 = 4*v - 19. What is the third derivative of 0*i**2 + 3*i**3 - 5*i**3 - a*i**2 wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*o + 35920 = 29*o + 48*o for o.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2. Let w(p) = -153030*p**2. Give w(r(i)).\nAnswer: -2448480*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129824843.\nAnswer: 129824843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 0)*(-445*b**2 - 1180*b**2 - 81*b**2 + 96*b**2 - 1321*b**2 + 26*b**2).\nAnswer: -14525*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20624 - -4?\nAnswer: -20620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 33292*u**2 - 2 + 34508*u**2)*(-6*u**2 - 7*u**2 + u**2) as m*u**2 + s + k*u + o*u**3 + y*u**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2473?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 9\/3 + 3. Let z = -5 + q. Suppose z = -5*h + f + 28, -5 = -4*h - 3*f + 25. Calculate the remainder when 16 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - -bc2a6?\nAnswer: bc2ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37510?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/((-16)\/(-120)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-6)*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*140.81\nAnswer: -168.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 215 = u, -x - 28*u = -27*u - 105. Calculate the highest common divisor of x and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2*y**3 + 39*y**2\/2 + 16*y + 2258. Calculate m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/45 + p**4\/9 - 4*p**3\/27 + 49*p. Factor i(g).\nAnswer: -4*g*(g - 2)*(g - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -344 + 186. Let r = y + 136.4. What is r rounded to 0 dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-1\/5))*j*j**(3\/2)\/j*j**(-3)*j**(2\/3))**(2\/13) assuming j is positive.\nAnswer: j**(-31\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 - -9.4. Let j = h - 102.5. Let p = j - -90. Which is the closest to 0? (a) p (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/18)\/((-16)\/(-24)*-1). What is the nearest to 0.6 in q, -6\/11, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 6*d - d + 2*j, 2*j - 10 = -2*d. Find the common denominator of 20\/11 and (140\/(-18))\/(d\/6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 2*b - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -592911, -1185820, -1778729, -2371638, -2964547?\nAnswer: -3557456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42 and 0.11747.\nAnswer: 42.11747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 24 - 26. Let r(m) = 0*m - 4*m + 2*m + 2. Let z(x) = x**2. Suppose -5 = i + 3*b + 3, 3*i + b + 8 = 0. Give a*r(s) + i*z(s).\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p**3 - 6*p**2 + 20*p + 60. What is m(-3)?\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:39 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + (13 - 2 - (-16 - -22)) + 65 + -63.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2261, 2\/43?\nAnswer: -2261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -8*g + 12*g, 5*d = -2*g + 24. Let i be 78\/d*128\/(-24). Which is bigger: -103 or i?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 973 (b) -2\/5 (c) -6968 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 3:57 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 579 (b) 0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 4*z - 285 = -l - 4*l, -107*z + 118*z = -4*l - 597 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -2 - ((112 - 73) + -10)) + 84?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 4*n + 2. Let b be v(4). Let o(i) = 45 - 45 + 22*i**b. Let h(f) = -3 + 3 + 3*f - 4*f. Give h(o(y)).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + (3 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*w - 9*d + 12*d, 3*w - d + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.2, 640.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (135\/((-13230)\/(-539)))\/((-4)\/(-8))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18756.4+-3\nAnswer: -18759.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/9)\/(-3*7\/253323). Let x = k - 4743. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4074)\/(-35))\/(-5 - (-265)\/50) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((27\/(-9))\/(-6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -74815182311\nAnswer: 74815182311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -19541388820 to the nearest one million.\nAnswer: -19541000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 519\/692*4224\/36.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1712714 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1087466573617.2+0.5\nAnswer: 1087466573617.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 18. Calculate the smallest common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 355, 550, 745?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from aafbfafffb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a decade in months?\nAnswer: 1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/256940 and 21\/70880.\nAnswer: 2055520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -444ac0?\nAnswer: -444ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + 3.94. Let s = 6 - 0. Let g = o - s. Which is the second biggest value? (a) g (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56.03 + -56. Let k = 24.03 - r. Let b = k + -29. What is the second biggest value in 1\/4, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:34 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 44134 = -o - 44136, 4*a + 3*o + 20 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 4. Let w = -9 + 1. Let p be ((-8)\/(-6))\/(w\/(-168)). What is the greatest common divisor of p and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 + 2011020?\nAnswer: 2020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -31274.\nAnswer: 24\/15637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from acjcjccccc.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302132815*s**2 + 83113056*s wrt s?\nAnswer: -604265630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8571461.\nAnswer: 59, 131, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 3) + (-1 - -1). Suppose z = y - 5 - 1. Suppose y = b + 4. Solve 0 = 4*o - 3*f - 4 - 11, -3*o = b*f + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 5. Let d be p(-3). Let s be (d + 0)\/((-1)\/2). Suppose -3*a - s = -31. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168291 is divided by 707.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 70. Let y(b) = -b**3 + 5*b**2 + 5*b - 4. Let d be y(6). Let a be 41\/5 + d\/50. Solve -a = 3*i - s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00573901 rounded to four dps?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 9*l - 4*l + 1, -2*l = 2*s - 8. Solve 0 = -2*m + s*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 31518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 - -126. Suppose 132 = 3*p - 3*h, 0 = -4*p - 2*h - 24 + f. Let i be 0 + 70\/p + (1 - 2). What is the closest to 0 in -0.2, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**4 - 2256*i**3 + 331328*i**2 - 3727104*i + 9750528 = 0. What is i?\nAnswer: 4, 8, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**5\/60 - k**4\/24 - 2*k**2. Let c be m(2). Solve 2*p - a = -4, -2*p - c = -p + 2*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 - 46*d\/3 + 7280\/9.\nAnswer: -2*(d - 35)*(d + 104)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.5708 litres in millilitres?\nAnswer: 635570.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -193ba57 (base 12) in base 15?\nAnswer: -6ecbea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5972 = 2*b + 1772, -3*r = 2*b - 11611. Is r a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + -1*sqrt(88)*-3)*-1)\/(-4*1*sqrt(8)*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000842732 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/8 - 51603*d**2\/8 - 929583*d\/8 - 4184217\/8.\nAnswer: 3*(d - 17219)*(d + 9)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11481357 rounded to 3 decimal places?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -1437?\nAnswer: -7185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-75*l + 75*l - 15*l**3).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-19622)\/(-8) - 14\/56*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 7) + (2\/(-11) - (-40)\/220).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-9)\/t*t)**(-4\/3)*t**(1\/9)*(t**2*t)\/t*t assuming t is positive.\nAnswer: t**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1197*z + 13133*z - 1997*z + 4881*z in the form v + f*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 14 = -h, -14 = -5*q - 4*h - 0. Let u be 5*(-465)\/(-31)*(-2)\/(-5). What is the greatest common factor of u and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(2 - 2 + 2*i) - 8*i - 5*i + i to j + r*i and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -7, 6, 2\/3, 0.09, -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 14*u**2 - 32*u + 2. Let k(o) = -2*o**2 + 36*o - 75. Let z be k(16). Calculate x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586484967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7514504.\nAnswer: 2, 313, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by 751499?\nAnswer: 106\/751499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 76*i + 111*i + 202*i**2 - 37*i.\nAnswer: 202*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61\/4 - 15. Which is the nearest to -1? (a) 0 (b) o (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28117 * 310.8.\nAnswer: 8738763.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*h = 1503 - 4890, 0 = -z + 3*h + 868. Suppose 2*j - z = 1781. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693217437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 21*w - 60. Determine a(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.91 from 427762350.115.\nAnswer: 427762349.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. What is the second smallest value in 0, -0.4, m, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -70 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:52 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1770 divide 1003958160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-116))\/(-336*(-50)\/3200).\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmx when three letters picked without replacement from {x: 3, m: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 125 + 83364?\nAnswer: 83489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1904 divided by 112\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - y**2 + 0*y**2)*(13 - y + 12 - 35 + (1 + 5 - 5)*(-3*y + y + 4*y)).\nAnswer: 2*y**3 - 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1881\/95 - 2*10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -65256, 5, -3, -1, 3 in increasing order.\nAnswer: -65256, -3, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 321410 (base 5) in base 4?\nAnswer: 2221213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v**4 - 1180*v**3 + 340*v**2 = 0. Calculate v.\nAnswer: -34, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen eighths of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f*g**3 - f*g**2 - 247*f*g - 2*g**3 - 8271*g**2 - 46*g wrt g.\nAnswer: -24*f*g - 2*f - 12*g - 16542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46683 and 57057.\nAnswer: 513513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1.21. Let r = -1016 - -1015.8838. Let q = r - k. Round q to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 3*c. Suppose -3 = -c*o + 3*o. Suppose -1 - o = -2*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5\/4 - 261*f**3\/4 - 123*f**2\/2 + 1449*f + 2646 = 0.\nAnswer: -6, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -206 (base 10) to base 3\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (314175\/10325)\/((-3)\/7) + -46.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-118)\/6)\/(((-3)\/(-3))\/(-6)). Let p(r) = -r**2 - 4*r - 3. Let b be p(-3). Suppose -3*v - 88 = -4*y, -4*y + 2*v + m - 30 = b. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -0.01 (c) -13\/2 (d) 0.0212463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 2*o**2 + 2*o + 1. Let p = 69 + -67. Let z be m(p). What is the third derivative of y**z - 11*y**5 + 5*y**2 - 3*y**5 - 2*y**5 wrt y?\nAnswer: -900*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 16. Factor -11 + 5*y**x - 10*y + 9 - 13.\nAnswer: 5*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.051566.\nAnswer: 0.103132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7649 - -7652. Which is the third biggest value? (a) -0.4 (b) -1 (c) 0.4 (d) -1\/4 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 3 + 3 + 4*b + 2*b - b + (-2 + 2 + 2)*(0*b + b - 2*b) - 2*b - 4 + 4 - b + 0*b + 3*b)*(9 - 2*b**2 - 9) to m + s*b**3 + j*b + i*b**2 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263 - -270. Suppose 17*c + 53 = 121. Sort p, c, -3 in descending order.\nAnswer: p, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.89095 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.64 - 0.14. What is the nearest to 2 in n, -5, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 1, c: 7}. Give prob of sequence xc.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -46*p**2 - 44*p**2 - 48*p**2 - 50*p**2 + 171*p**2. Let f(v) = 4*v**2 + 4*v**2 - 6*v**2. Calculate j(f(s)).\nAnswer: -68*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4, 4*h - 9785 + 9801 = -d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -0.4. Let p = 1618\/9 + -180. Let z = p - 8\/45. What is the closest to z in -0.5, a, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -31*o**3 + o**2 + 2*o + 2. Let y be q(-1). Calculate the highest common factor of 352 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 210. Let b = 179 + w. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 206*o + 16. Let i(b) = 41*b + 3. Let s(k) = 11*i(k) - 2*m(k). Calculate the remainder when s(1) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/1 + (-2 - 0). Let d(m) be the first derivative of 12*m**j + 8*m - 14\/3*m**3 - 2. What is a in d(a) = 0?\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 5*i + 77033. Let z be c(0). Let g = z - 109533. What is g rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2563124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 times 2?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 145\/7, 18\/31, 0.6?\nAnswer: 145\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) -1\/8 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*w + 5*x = -79*w - 8388, w - 2780 = -x. What is the greatest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 522.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/7*(-1)\/(-2). Suppose -2*p = h*m - 13, 3*p + 3*m = 2*p + 11. Factor 4\/9 - 40\/9*c**p + 2\/3*c.\nAnswer: -2*(4*c + 1)*(5*c - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y - 11. Let m(l) = l - 1. Let a(t) = k(t) - 5*m(t). Calculate the lowest common multiple of a(3) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5010\/52605*(-18)\/(-4)*1.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**6\/90 + r**4\/24 + r**3\/6 - 2*r**2. Let u(f) be the first derivative of v(f). What is the units digit of u(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 10*d - 2552 = -3*d, -4*d = -2*a + 984. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5.9999? (a) -0.1 (b) -0.71 (c) -2\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/sqrt(5))\/sqrt(3) + sqrt(15))\/(sqrt(60)\/(sqrt(60)\/sqrt(5))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301 = 1036*w - 1051*w - 16 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5795761*d**2 - 53*d - 25619 wrt d?\nAnswer: 11591522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506*b + 518*b = 8340. What is the remainder when b is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 436968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*y - 14, 2*h - 19 = -0*h - 5*y. What is the third derivative of -5*m**h - 7*m**2 + 14*m**2 - m**2 - 6*m**4 - m**5 wrt m?\nAnswer: -60*m**2 - 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, l: 3}. What is prob of sequence qlqq?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -521302*g**4 - 9322705*g**2?\nAnswer: -12511248*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*n - 304 + 325 = 0, 0 = -10*p + 4*n - 46 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.01332153\nAnswer: 0.98667847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/(-903)*40\/(-120).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y**3 + 236*y**4 + 6 - 238*y**4 + 16*y**3 - y**2 to the form f*y**2 + d*y + i + v*y**4 + g*y**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 16, e: 1, h: 3}. What is prob of sequence hjeh?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*h - 233*h + 228*h + 325*h + 181*h.\nAnswer: 784*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 1.202964771951?\nAnswer: -1.702964771951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let n(w) be the first derivative of 0*w + 0*w**2 + 2\/3*w**3 + 1. What is n(t(x))?\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = i, -t + 0 = 3*i - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/(((-90)\/228)\/(-15)). Let d(b) = -18*b**2 - 3*b - 5. Let c be d(-5). Let q = h - c. What are the prime factors of q?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56272.496 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06152 rounded to 3 decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 193*r**2 + 200*r - 1447. Give a(192).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -4 (b) -2\/15 (c) 1 (d) 282978\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955?\nAnswer: 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 390507717 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 39?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 2*m - 4. Give d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8898 + -8833.132. Let j = -0.132 - t. Let o = 65.000081 + j. What is o rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 308180 = 7*k. Let l be (37358 - ((-2)\/(-2) + -4)) + 3. Let v = k + l. Round v to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1503, 3010, 4519, 6030?\n\"Answer: k**2 + 1504*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l + 40*l + 18*l + 14*l.\nAnswer: 79*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*h - 8693 + 217. Let x = 1226 + h. Calculate the highest common divisor of 164 and x.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s**3 + 7*s**3 + 39*s**3)*(5*s + 2*s - 3*s) to the form n*s**3 + a*s**2 + h + r*s**4 + w*s and give r.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 123*n**2. Let i(r) = 43*r + 20. Let f(w) = -4*w - 4. Let l(v) = 5*f(v) + i(v). What is l(o(m))?\nAnswer: 2829*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -3*l**5\/5 - 7*l - 6. Find the first derivative of u(b) wrt b.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:38 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**7\/42 - h**6\/12 + 5*h**4\/12 - 5*h**3\/6 - h**2 - 7*h. Let v(m) be the first derivative of q(m). What is d in v(d) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*w + 12 = 0, -4*f - 3*w - 11 = -0*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (0 - -2)) + (4 - 2 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 30. What is the greatest common divisor of m and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -57, -48, -41, -36?\n\"Answer: -y**2 + 12*y - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4)*b)**24\/((b\/b**(-10\/9))\/(b\/(b\/b**(-1\/2)))))**(2\/11) assuming b is positive.\nAnswer: b**(277\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164607 + 329215\/2. Find b, given that -b**4 - 2*b**3 + 0*b + 4*b**2 + h*b**5 + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7053, -3, 2, 35, 5 in decreasing order.\nAnswer: 35, 5, 2, -3, -7053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 8*h**3 - 1017*h. Let q(k) = -242*k**2. What is m(q(i))?\nAnswer: -11616*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 3*s**5 - s**4 - 23*s**3\/3 - 13*s**2\/3 - 2*s\/3 = 0?\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y**3 - 5*y**2 + 14*y + 20. Let t be x(-6). Suppose 0 = 3*w + u - 1355 + 254, 0 = -4*w + 4*u + t. What is the remainder when w is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28147*n**4 - 472*n**2 - 18*n wrt n?\nAnswer: -675528*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - 1.8. Let m = a + 0. Let u = -1.9999986 - m. Round u to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 305890?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2512 (base 13) in base 10?\nAnswer: 5254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 4:25 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1\/2*416\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 487559 + 8?\nAnswer: 487566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q + 30*q + v = 3778, 2*v - 3776 = -2*q. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0*f + f)*(823*f**2 + 519559*f - 519559*f).\nAnswer: 823*f**3 - 1646*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -450*g + 6808. What is the remainder when 284 is divided by p(15)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f**2*t**3 + 41773329*f**2 - 582410568*t**3 wrt f?\nAnswer: -8*f*t**3 + 83546658*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*d + 35*d + 17615 = 0. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(-41))**(-1\/7) assuming d is positive.\nAnswer: d**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 22. Suppose -3*m + 19 = -n + l*n, -m = -1. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**1*b)**(-2\/115)\/(b\/(b*b**10\/b*b))**(-16\/3))**(-4\/17) assuming b is positive.\nAnswer: b**(73672\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16616\/4020 + 6\/(-45). Let x = -17 + 25. Suppose -c - c = -3*z + 1, -26 = -2*z - 5*c. Solve -4 = -3*q - z*j + 2, -4*j - x = -v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g - 32 - g + 30 + 8*g.\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.11628 meters in kilometers?\nAnswer: 0.08611628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -210344531 (base 6) to base 8\nAnswer: -15775407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + -100 - (-16 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9231 divided by -3?\nAnswer: -3077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019566 rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 26*q**2 + 62*q - 4. Let o(f) = 2*f**2 + 9*f. Give -a(t) + 12*o(t).\nAnswer: -2*t**2 + 46*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -723 - 4641 + 2*a + 2573 - 3332 to the form v*a + u and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 1631 = -73*l + 1457 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10621 or 10628?\nAnswer: 10628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i**2 + 3*i - 4. What is y(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/21 and 43\/806718?\nAnswer: 5647026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3 + 49733*y**2 + 198920*y + 198916 = 0?\nAnswer: -49729, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 178786411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*y - 20 - 14, -5*h + 10 = 5*y. Solve 0 = -20*j + 21*j - h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 - 3*f + 1389 + 3*f.\nAnswer: 8*f**3 + 1389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73955 is divided by 73948.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-3) - 20*(-1704)\/(-720). Let n(o) = -9*o - 440. Determine n(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 1.56. Let s = z + 0.44. Which is the second biggest value? (a) -5 (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 42 = -18*h. Let i(a) be the third derivative of -a**4\/24 + 7*a**3\/6 + a**2. What is i(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5104, 5113, 5122?\n\"Answer: 9*l + 5095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10 - 3\/9. Let m = 0.0416 + 2.9584. Which is the nearest to 3\/5? (a) -1 (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.294 - -183.2486468.\nAnswer: 181.9546468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36*(-4 - 22\/(-4)). Suppose -4*j + l = -j. Suppose -2*g = -3*g + 2*x + j, 5*x = 3*g - 54. Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -779*n**2 - n - 10 - n + 783*n**2. Let q be o(5). What is the greatest common factor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8)*i**(-1)\/i)**(-19))**(-15) assuming i is positive.\nAnswer: i**(-2850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(sqrt(1008) - (sqrt(1008) + 3))*4 + (3 + sqrt(14)\/sqrt(2) - (-1*sqrt(42))\/sqrt(6)))**2.\nAnswer: 268*sqrt(7) + 4517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**5 - 2*k**2*u**2 + 8*k*u**2 + u**2 wrt k?\nAnswer: 60*k**3 - 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 176.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502451 (base 12) in base 6?\nAnswer: 230430541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/8 + 440033*k**2\/2 + 59845355*k\/8 + 254343987\/4.\nAnswer: -(k - 1760166)*(k + 17)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59170 and 1455.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2345*k**3 + 67*k**2 - 67*k + 67. Let v(z) = 138*z**3 - 4*z**2 + 4*z - 4. Determine 4*b(t) + 67*v(t).\nAnswer: -134*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*5)\/(sqrt(320)\/sqrt(5)))\/(sqrt(2187)*-1*-3 + sqrt(2187) + sqrt(2187)).\nAnswer: sqrt(13)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 33 = -2*w, 26*w + 47 = -3*a + 21*w + 13*w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4.6 (c) 5 (d) 0.26 (e) 4 (f) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -903 - -753. Let u = m + 154. What is the fourth biggest value in -2\/5, 2\/9, 0.2, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3972 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14526560 to the power of 1\/2, to the nearest integer?\nAnswer: 3811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2555111832 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 29. Suppose 4*n + 682 = 3*m, -m + b*n = -n - 222. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2743, 10826, 24251, 43018, 67127, 96578?\n\"Answer: 2671*x**2 + 70*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 570 and 1830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 1. Let z be (-2)\/8 - 10\/(-8). Let a be s(z). Let m(p) = 5*p**2 + 2*p - p**3 - 6*p + 3 + 3. Calculate m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/104 and -1\/4.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 599536 - -0.09\nAnswer: 599536.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/12 - 245*b**2\/2 + 52*b. Let h(y) = 2*y**2. What is h(d(z))?\nAnswer: 2*z**4 - 980*z**2 + 120050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*g, 4*y = 225*g - 230*g + 15. Suppose -7 = 5*j + 18. Put -2, j, y, -3 in descending order.\nAnswer: y, -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 2*b - 13. Let c(i) = -i**2 + 1. Let m(s) = -s - 10. Let a(z) = -6*c(z) - 2*m(z). Let j(o) = 6*a(o) + 7*r(o). What is j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 - i**3\/6 + 3*i. Let w(d) = 41*d - 166. Let o be w(4). Calculate r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -g + t - 3, -5*t - 23 = g. Let w = -19 + 11. Let q = w + 8.2. Which is the closest to g? (a) q (b) -1\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)\/r)\/r**(-5\/3) assuming r is positive.\nAnswer: r**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + (-28 - -5) - -16) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 7*s + 7. Let r be c(6). Suppose -3*o + r = -2. Let t be (-4)\/14 + (-119)\/98. What is the closest to 0 in 5, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -118 - -406078?\nAnswer: 405860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 17*s - 154 + s**2 - 2*s**2 + 130. Let g be f(12). What is the greatest common factor of 204 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-432)\/126)\/((-4)\/14). Suppose 0 = 3*u - g - 87. Calculate the greatest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-100))\/(352\/1760)*-1*3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(378\/81))\/(3\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m**4 - m**4 - 2*m**4)*(-1 - 2 + 1) + 2*m**4 - 3*m**4 + 0*m**4)*(20*m - 403 + 403).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033 = 3*w - 2*h, w - 5*w + 3*h - 1377 = 0. Let t = 501 + w. What is the greatest common divisor of t and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 203, 299, 383, 455?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*t - 58, 36 = 142*t - 144*t + 3*n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.95 - -0.05. Let n be (2\/4)\/(12\/(-1880)). Let m = -79 - n. Put m, f, -3 in ascending order.\nAnswer: -3, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-369036)\/(-84) + 6\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - g - 28 = -3*g, 0 = -5*c - g + 35. Solve -4*y - c = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 2. Let p(t) = -2*t**2 - t - 5. Let u(w) = w**2 + w + 6. Let y(q) = v*p(q) - 4*u(q). What are the prime factors of y(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269 is divided by 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/1470 - 31*s**6\/168 - 38*s**5\/105 + 11*s**4\/6 - 92*s**2 - 3*s. Suppose x(p) = 0. What is p?\nAnswer: -154, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/9 + 25844\/2520 and 119\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmgmmbyg. What is prob of picking 2 m and 1 y?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/2*(-30)\/(-3). Let u = v + -677\/9. Which is the closest to 2\/13? (a) u (b) 0.3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18339354 = -23*f - 175*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 + (4 - (-6908)\/(-1980))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -202*k*q + 68*q wrt k?\nAnswer: -202*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u + 1. Let x be i(1). Let f = 3.8 - 3.9. Let y = -689\/15 - -136\/3. Which is the nearest to f? (a) y (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3, 4, -4.\nAnswer: -4, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 6. Let a be l(-8). Suppose -m + 45 = a*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -862 by -49310.\nAnswer: 431\/24655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -10 + 2, 5*d + 3*q = -64. Let x be (-4)\/d + (-36)\/(-21). Suppose x*a = 3*a - 102. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 454766 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 0, -2*x + 65 = x - 2*i. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6891.208 years in months?\nAnswer: 82694.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -2 - 1\/3*w**3 - 3*w - 1\/2*w**2. Suppose 5*h - 2*z = 4, z + 4 = h - z. What is f(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1268*a = -2040*a - 70214 + 242230 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.6 in -0.23, 0.3, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13538*v - 43 = 13534*v + 3*h, 24*v + 4*h + 116 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 250406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*o**3 + 1 - 3*o - 40 + 4*o**3 + o**3 as k*o + n*o**2 + x + i*o**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 2*h**2 - h + 1. Let g be t(3). Let m be 10*g*(-6)\/(-4). What is the common denominator of ((-2)\/6)\/(4\/m) and 53\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11805\/133 or -51?\nAnswer: 11805\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + c**2 + c - 1. Let d(s) = 5*s**3 + 7*s**2 + 2*s - 1. Let g(w) = d(w) - 4*y(w). Let f be (3\/(-1))\/((-18)\/(-24)). Calculate g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 12022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -67.06\nAnswer: -20.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1596892 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + 3d7?\nAnswer: 3f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 + 179. What is the greatest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/15 - h**4\/8 - h**3\/3 + 8*h**2. Let m be d(-1). Solve 0 = s + 2*n - 12, m*s - n = n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/486621 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3652?\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -681905 (base 13) in base 15?\nAnswer: -338d2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.21\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:30 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p + 43*p - 22*p + 15 - p**2.\nAnswer: -p**2 - p + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-30))\/((-238)\/4165). Determine j so that 5\/6*j**3 + d*j**2 + 0 + 1\/2*j + 1\/6*j**4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, 0.1, -36\/7, 11 in decreasing order.\nAnswer: 11, 5, 0.1, -1\/2, -36\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (11 + -41) - (105 + -6 - (-1 - -4))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*d + 3*c, -73 = -4*d - c - 18. Calculate the remainder when 44 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 40*y. Suppose 7*i + 2 = -12. Let d(m) = -m. Let u(p) = i*z(p) - 70*d(p). Let n(v) = 5*v. Determine u(n(f)).\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, m: 1, s: 6, c: 1, f: 1, q: 1}. What is prob of sequence mzzf?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3470?\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001824396 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 4. Let o be j(1). Suppose -o*s = -2*t - 460, -7*s = -3*s - 3*t - 361. What are the prime factors of s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 15*s - 13. Give g(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -188765398*x + 8292596 wrt x.\nAnswer: -188765398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovvp when four letters picked without replacement from vovpjpovvjpojj.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 1 - 2 - 1.\nAnswer: 4*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by (1 + (-6)\/12 + 5)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3506 (b) 2\/315 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105308 - 566092 = -16785*n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1060 or -996?\nAnswer: -996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f8d (base 16) to base 13.\nAnswer: 38a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*z + 1 - z**3 - 175*z + z**4 - 2*z**2 + 1 + 349*z in the form r + n*z**4 + y*z**2 + c*z**3 + v*z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*q - 2, 2*y - q + 0 = -8. What is the common denominator of 2\/(-4) - (2 - -13) and ((-3)\/y)\/(14\/(8680\/(-45)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - 1) + 124 + -251 - -19\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 8*z**2 + 5*z + 9. Let b be k(7). Suppose 0 = 5*l - b - 157. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*r + 53. Let l be (-10)\/r*(3 - -7244679). Let v = l - 2950212. Round v to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3790 (base 14) in base 12?\nAnswer: -576a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**5\/5 + 582*k**4\/5 + 5526*k**3 + 60010*k**2 - 368400*k - 423000 = 0.\nAnswer: -235, -30, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1, 2\/57, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8023.69053 + 8029.69. Let c = m - 6. Round c to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**9\/168 + 11*l**7\/105 - 1019*l**5\/60 - 1962*l**2. What is the third derivative of z(s) wrt s?\nAnswer: -360*s**3 + 528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + 17. Let t be h(0). Solve 14*x - t = 39 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -24, 24, 124, 294, 552, 916?\nAnswer: 1404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -103203002101 (base 4) to base 15\nAnswer: -6b3461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9119421 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*m - 2*m + 94, 0 = -m + 2. Suppose 4*y + i = 8*y. Calculate the lowest common multiple of y and 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 4*k, -b - 2*b = -k + 8. Let o be k\/8 - (0 + 21\/(-12)). Let u be 3\/(4\/8*(o - 0)). Let m(a) = 2*a**2 - a - 3. Give m(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2\/2 + w - 122. Let p = 3 - 6. Let q be p*7\/(63\/12). What is j(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 13*b**3 - b**2 - 2*b - 1. Let y be g(-1). Let w = y - -16. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6724177 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6*2)\/((-260)\/780).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b = -48*b + 26*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2290 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/50*5 - (-1 - 1). Which is smaller: 4\/5713 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -507.\nAnswer: 2\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19296600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2*k**3 + 0*k**3 - 3.\nAnswer: 2*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j - 100*j**3 - 10*j + (5*j - 6*j + 0*j)*(-4*j**2 + j**2 + 5*j**2) + 2*j**3 + j**3 - 2*j**3.\nAnswer: -101*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*s + 36, 2*h - 26 - 22 = -2*s. What is the remainder when 271 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 195542110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175338 + -175226. Suppose 221 + 3 = 4*s. What is the highest common factor of s and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5928 is divided by 73.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*a - 0. Suppose 0*u + u = a. Suppose -2*m + 5 + u = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c. Let n(r) = -823856*r**2. Determine n(w(g)).\nAnswer: -161475776*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -59.2 (c) 16\/3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.105?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 150\/14 - (-2)\/7. What is the second derivative of 2*k + 9*k**5 - 5*k - p*k**5 wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hayyhyyyyhhay. Give prob of picking 1 y and 2 a.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/70)\/((-2)\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.49124 * -0.4.\nAnswer: -4.996496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5496683103 and 32863.\nAnswer: -5496650240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 81*d**2 - 27*d - 15\/4*d**4 - 141\/4*d**3 = 0.\nAnswer: -6, -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1305 divide 362479410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 151956.\nAnswer: 759780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 v, and 1 z when four letters picked without replacement from vzxxjtw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/28)\/(2\/(-14)). Let w be 8 - 2\/(6\/(-9)). Let u(v) = -v + 2. Let o(b) be the third derivative of b**4\/12 - 2*b**3\/3 - b**2. Give w*u(g) + z*o(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7277, -14559, -21851, -29159, -36489, -43847, -51239, -58671?\n\"Answer: -z**3 + z**2 - 7278*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) - (435\/(-25) - -17). Solve s = 7*g - 8*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -592, -394, 134, 1148, 2804, 5258, 8666?\nAnswer: 13184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r**2 + 34*r**2 - 99*r**2 + 30*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 - 150*c + 1684. Let r(u) = 13*u**2 + u + 7. Calculate the least common multiple of h(9) and r(-5).\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-5)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 646\/(-7)) + 2\/(-7) is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/8)\/1*-10. Suppose 7*q - 3*q = -o*y + 469, 4*q = 5*y + 499. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 56, -1\/4, -2, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i**2 + 6*i**2 + 12*i**2 - 3*i as s*i + q*i**2 + b and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59394\/19859 or -2?\nAnswer: -59394\/19859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5409*n**3*s**3 - 2*n**2*s - 14*n*s**2 + 100*s**3 - s**2 wrt n?\nAnswer: 32454*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -9\/17 (b) 3\/5 (c) 3 (d) 27 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2741233*o + 2741230*o - y, 5*y = -5*o + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -325 - -332. What is the third biggest value in -2\/9, 1, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*h + 2*h = -9*h + 101 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167 = -j - 1162 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15912 and 326144?\nAnswer: 49900032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 150.07 times 78.2\nAnswer: 11735.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290079, -290168, -290257, -290346, -290435, -290524?\nAnswer: -290613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {a: 2, w: 2, j: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*z, z - 25 = -w + 56. Let q = w - 77. Calculate the highest common divisor of 99 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r = 392 + 360 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.04\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 5, g: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.832527ml?\nAnswer: 0.006832527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((3680\/90)\/(-92))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 31 + -24 - (-11)\/(-1 - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10821 greater than -10820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407156302?\nAnswer: 2, 7, 2459, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/3 + 22*i\/3 - 16 = 0. What is i?\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 24 = -8*k. Let w(d) = -k*d + 17*d + 6*d + 11*d + 4*d. Let c(i) = -i. Determine w(c(u)).\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/(0 + 2) + 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*c + 3 + 1 - 1 + c + (5 - 4 - 3)*(c + 2*c - 2*c) + 5 - c - 5 + (-2 - 5 + 5)*(3*c + 0*c - c) as q + r*c and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m + 232 = -2*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2256d (base 15) to base 8\nAnswer: 325254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3132.02 - 3158. Let p = n - -26. Let w = -1 - 4. Which is the biggest value? (a) w (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2. Let k(z) = 86*z. Calculate k(s(n)).\nAnswer: 172*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.834 + 1.334. Let u = -4.95 + -0.05. Which is the nearest to -0.1? (a) u (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 348 + -345. Solve -k = -2*k + l + 2, -y*k + l + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 651, 1306, 1937, 2532, 3079, 3566, 3981, 4312?\n\"Answer: -2*g**3 + 669*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 12. Suppose 2*l - 33 = -2*g + 13, -2*l = -r*g + 49. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 - -0.7. Let r = -2 - 0. Let u = r - -1.9. Which is the nearest to u? (a) -0.3 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/13, -4, 4\/29 in increasing order.\nAnswer: -5, -4, -2\/13, 4\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 402015?\nAnswer: -402014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879 divided by -8.\nAnswer: -879\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10300 divided by 2060.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5047, -10765, -16483, -22201, -27919?\nAnswer: -33637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 329, 327, 325?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20885089 to the nearest integer?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -161131\/696 - -1853\/8. Is l at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92319\/594160 - 432\/1061. Calculate the common denominator of 75\/32 and y.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/((-24)\/(-4)))\/((-3)\/(-10)). Suppose l*b = 2*b + 1776. Is b a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31819, -31836, -31855, -31876, -31899?\n\"Answer: -q**2 - 14*q - 31804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1994 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + 0*k**3 - 31*k**3)*(2 - 2 + 1) - 25 + 25 + 45*k**3.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*g - 52*g - 156*g + 44*g.\nAnswer: -252*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2. Let g be (36\/(-45))\/((-1)\/10). Let s(x) = x + 8. Let o be s(g). Let f(w) = -33*w + 9*w + o*w + 9*w - 5. Determine 2*f(u) - 5*n(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9)*(3 + 0). What is the first derivative of i**2 + 1 + 5*i**2 + a + 0*i**2 wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 0 + (20 - -2) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 127778.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-3) + -3)*-3. Let q be 0\/(-2) - (-5 + 1). Find the third derivative of -3*c**q + 3*c**4 + 2*c**v + c**2 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99\/665 + -4\/665. What is the smallest value in t, 1\/5, -5, 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/49? (a) -1\/23 (b) 2 (c) 3 (d) -3 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 53244.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16839985 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -28) + (-4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 849267509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + (sqrt(125) - (2*sqrt(125)*3)**2) + 2.\nAnswer: -4501 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*g + 5. Let a be (-1 - (g - -3))*-1. Solve 5*f + 14 + 1 = a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437200109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 5)*-4 - sqrt(4840)\/sqrt(8))*-6)**2.\nAnswer: 21600*sqrt(5) + 54900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605320, -605321, -605322?\nAnswer: -605323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2200410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.98 take away -0.02?\nAnswer: -21.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 60415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/357 - 668\/8211. Suppose -17 - 3 = -4*p. Suppose p*b + 0 - 5 = 0. Are m and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000024492 to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2595*x. Let a(y) = y**2. What is a(r(v))?\nAnswer: 6734025*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2*q**2 + q**2)*(7*q + 12*q - 5*q).\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Suppose h*w = 1 - 7. Let u(x) = -x**2 + 3*x + 7. Let g be u(5). Is g less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*k - 259*k + 9 = 4*a, -2*a + 2*k = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49330643*b**5 - 70958605*b wrt b.\nAnswer: 986612860*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6957, 13746, 20537, 27330, 34125?\n\"Answer: q**2 + 6786*q + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -2, -4, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w + 3. Let p(x) = -x**3 + 6*x**2 + 2*x - 9. Let n be p(6). What is the units digit of d(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507, -2304, -5355, -9660, -15219?\nAnswer: -22032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/105 + 358\/15 + 0. What is the greatest common factor of y and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/23)*t*t**30)\/(t*t\/t**(-14\/5))**11 assuming t is positive.\nAnswer: t**(-2527\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 100, 242, 502, 916?\nAnswer: 1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21523 greater than or equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.077 + 0.257. Is p > -0.17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 1 - (-9 - (14 - (9 + 6))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -706 divided by -5\nAnswer: 706\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000107198 to seven decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3296 or -0.3?\nAnswer: 3296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*a + 729 = 2*a, 4*a = 4*u - 588. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (-2*(sqrt(156) + (sqrt(156) - -2*sqrt(156))) + sqrt(156)) - sqrt(156))\/((sqrt(132) - sqrt(132)*2)\/sqrt(11) + sqrt(12) - sqrt(12)).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1011 is divided by 505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times -1?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 5*t**2 - 3*t + 2. Let i be r(4). Suppose 0*a = 5*a - 800. Suppose -j = -i*j + a. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797613.\nAnswer: 7, 13, 71, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 783954 a multiple of 449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:02 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 238889267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396464202?\nAnswer: 2, 3, 23, 957643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:28 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 11*a**2 - 3*a - 15. Suppose 4*b + 38 + 6 = 0. Let i be n(b). List the prime factors of 1\/(((-5)\/190)\/(i\/(-4))).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317314.9l to millilitres.\nAnswer: 317314900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 18 - ((4 - -1) + -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 4\/29 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 7*k + 9. Let a be d(-5). Put -0.6, a, -0.5 in decreasing order.\nAnswer: -0.5, -0.6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 249*j**5\/8 - 3983*j**4\/4 - 63752*j**3 - 512*j**2 = 0.\nAnswer: -32, -2\/249, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7470642 divided by -22846.\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/3 + 64*v\/3 + 21 = 0.\nAnswer: -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -22.416?\nAnswer: 4.4832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z - 3*b = 6, 2*z = -b + 6. Let h(p) = p + z*p - 2*p**2 + 3*p**2 + 5*p**2. Let f(a) = -4*a**2 - 3*a. Determine -7*f(w) - 5*h(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavaa. What is prob of sequence va?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 + -1756\nAnswer: -1755.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -25412666.\nAnswer: 127063330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.93 to 1 decimal place.\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 825 and 495.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 13 = b - 5*p, 3*b = -2*p. Let d(j) be the third derivative of j**4\/12 + 3*j**2. Is 4 a factor of d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3776 + 5583. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.033806 + 0.0298759. What is v rounded to four dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.9071km in centimeters?\nAnswer: 62590710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {v: 2, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12115163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-15))\/((-3)\/(-6)). What is the nearest to 2\/9 in 2, -1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4043, -26920, -87463, -204506, -396883, -683428, -1082975?\nAnswer: -1614358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*27\/((-378)\/4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132867 is divided by 132865.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 26 = -4*s, 138*s - 144*s - 64 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*v - 7*v - 14, i + 19 = -4*v. Let s be (1*i)\/((-1)\/3). Suppose -3*c + 0*c + s = -m, c = 4*m - 8. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122316537 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.07 - 27.07. What is the closest to 2\/7 in -8\/11, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a**3 - 2*a**2 + 1. Let r be -3 - 3\/((-6)\/4). Let j be o(r). Let c be (-21)\/(-9) + 8\/j. Solve 6 = -3*g - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24224 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.17265\nAnswer: 0.03453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v - 1. Let d(f) = -f**3 - 5*f**2 + 6*f + 5. Let j(b) = -d(b) - 5*w(b). Factor j(o).\nAnswer: o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.4 and 24533578?\nAnswer: 24533579.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175006, 350014, 525022, 700030, 875038, 1050046?\nAnswer: 1225054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**3\/2 - o**2\/2 + 7*o. Let j be i(2). Sort -6\/5, j, 0.5 in decreasing order.\nAnswer: j, 0.5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 90*y**2 - 73*y - 1268. Let s be z(89). Put -10, 4, 3, s, 5 in descending order.\nAnswer: s, 5, 4, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000511 rounded to six decimal places?\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g**2 + 64 - 64)*(-19 - 14 - 2).\nAnswer: 525*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 444.8 + -444.6. Which is the closest to f? (a) -2\/2635 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 412. Is (1 - q)*(-8)\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcp when three letters picked without replacement from pcpp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683291411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/7*((-49)\/63)\/(-1). Which is the closest to -2? (a) 0.2 (b) 4 (c) 5\/6 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 447, 9 in descending order.\nAnswer: 447, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149319 is divided by 16589?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33578892 a multiple of 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(1*sqrt(3)))\/((sqrt(16) + sqrt(400) - sqrt(16))\/sqrt(4)) + 5 + sqrt(72)*2 + sqrt(72) + 3 + -4)**2.\nAnswer: 728*sqrt(2)\/5 + 16962\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179 (base 10) to base 13.\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 5*u + 173, 4*j - 5*j - 4*u = -91. What are the prime factors of j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(2\/3)))**23*m\/(m*m**(-2\/35)*m*m)*m**(-2\/39) assuming m is positive.\nAnswer: m**(18208\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16947047 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1045)\/88 - -15) + 51\/(-17)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*d + 80, 6*d - 3*d + 46 = 2*k. Let p be (-384)\/(-15) + d\/30. Solve 0 = -0*i + 5*i - p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/17 (b) -0.36 (c) -0.3 (d) -992 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1533 = -95416*q + 95343*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/20)\/(216\/1728)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/17)*s**(-10)*s)**(-17)*((s**(4\/3)*s)**(-34))**1 assuming s is positive.\nAnswer: s**(176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456) + sqrt(456)*-1)\/sqrt(12))\/(sqrt(8)\/sqrt(4)*4 - sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -305, -303, -309, -329, -369, -435?\n\"Answer: -n**3 + 2*n**2 + 3*n - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44321230 (base 5) to base 7.\nAnswer: 3164553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -248, -444, 5, -48, 2 in decreasing order.\nAnswer: 5, 2, -1, -48, -248, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:04 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 250 = 2*d, o - 2*o = 2*d - 65. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + f + 92 = 0, 2*f + 1 = -7. Which is bigger: z or 41\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -916 > -903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hohhlolohllhmlhhohho. What is prob of picking 1 o and 1 l?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r**(-5\/8)\/r)\/r*r))*r)**(-23) assuming r is positive.\nAnswer: r**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64014000 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 x when three letters picked without replacement from {x: 4, u: 1, p: 1, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/13, 0, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v + 0*v**4 + v**4 - 5*v**4 - v**2 + 2 to the form g*v**4 + o*v**2 + k + m*v + h*v**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 71*j + 5308. Calculate y(-79).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 22599996*x + 13. Let i(f) = 11299998*f + 6. Let w(c) = -5*i(c) + 2*k(c). Let h be w(2). What is h rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202065 = 201766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - 5125843.6850457.\nAnswer: -5125843.7050457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 654 * 3.7\nAnswer: 2419.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1088486, -4353500, -9795190, -17413556, -27208598, -39180316, -53328710?\n\"Answer: -1088338*h**2 - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 24*s + 108. Suppose 0 = -5*r + 2*y - 88, -4*r - 3*y = 43 + 32. Let k be t(r). Solve 2\/3*n**3 - 2\/3*n - 2\/3*n**2 + k + 2\/3*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzhqdhq. What is prob of picking 1 d and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 19.5.\nAnswer: 97.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) - 14\/(-8). Let d be (-1*q\/(-1))\/6. Suppose 4*i = 5*c + 12, 2*i - 1 = 4*c + 5. Which is greater: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -97*q - 4265. Give k(-44).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7091 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 52 = 64. Let d(w) = -w**3 - 2*w**2 - 6. Is 6 a factor of d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(176) + 1)**2.\nAnswer: 8*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, -2, -13, -28?\n\"Answer: -2*i**2 - i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2772*x**3 - 6 + 120*x**2 - 120*x**2 + 3843*x**3.\nAnswer: 6615*x**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 3853 = 3844. Let x = -0.02 + -0.06. What is the closest to x in -0.4, h, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(5\/6)*y)\/(y**(-13)\/y)*(y\/(y\/y**(-16))*y*y*y)\/y**(2\/7) assuming y is positive.\nAnswer: y**(79\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t - t**2 - 13*t + 0*t**2.\nAnswer: -t**2 - 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(-7\/5))**(3\/7)*((h\/h**3)**(7\/2))**(-50) assuming h is positive.\nAnswer: h**(7003\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1876, 18, -3 in descending order.\nAnswer: 1876, 18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1352, -5422, -12206, -21704, -33916?\n\"Answer: -1357*c**2 + c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 366, 1285, 2834, 5025, 7870, 11381, 15570?\n\"Answer: 2*t**3 + 303*t**2 - 4*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/15 (b) -9\/5 (c) -4 (d) -5 (e) -0.28 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396750810.\nAnswer: 2, 3, 5, 59, 224153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-22 - -18) + 17 - (1 + 23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6660, -6732, -6806, -6882, -6960, -7040?\n\"Answer: -i**2 - 69*i - 6590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/80 and 37\/312?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (-2 + 1 - 1) + -7 + (-587 - -593)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 9:02 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -451\/1160 + 2\/145. Let s = 16 - 39. Which is the nearest to n? (a) -0.5 (b) s (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*h - 25715 + 4029. What is the remainder when h is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223175 < -6.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81746999 is divided by 5274?\nAnswer: 5273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -4*j + 16\/9*j**3 - 57 - 1\/6*j**4 + 1\/3*j**2 - 4\/15*j**5. Determine n, given that u(n) = 0.\nAnswer: -2, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 0.229, 4, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -242 - -251. Suppose 0 = -3*l - 5*v + j, -5*v - 5 = -3*l + 4. Suppose -250*x**4 + 128\/7*x - 1600\/7*x**l + 32\/7 - 240\/7*x**2 = 0. What is x?\nAnswer: -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + b + 60 = 0, 24 = 2*c - 0*b - 5*b. Let h(s) = s**2 - 7*s - 14. Is 18 a factor of h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/120)\/9*5.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4788)\/1045)\/18*600\/(-40)?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 - 15*n**3 + 2*n**2)*((-7 + 4 + 1)*(3 - 2 + 0) + 4 + 2 - 7 + 4 + 0 + 0)*(-2 + 3 + 5) as x*n + a*n**3 + l + f*n**2 and give a.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 11457?\nAnswer: -11461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 436 - 435. Let m = 18 + n. Solve -4*x + 2*l - 5*l = m, -3*x - 2*l - 14 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*r + 9 - 43*r - 2 + 16*r.\nAnswer: -5*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**3 - 92*h**2 - 2*h + 75. Give v(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, i: 1, z: 1, k: 7, a: 2}. Give prob of picking 1 f, 2 a, and 1 i.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -110, -2, 164 in decreasing order.\nAnswer: 164, -1, -2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -0.3, 0.132, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10531798 = 5*f - 153*f - 2326086. What is the highest common factor of f and 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*f + 43 - 200, 3*h - 283 = -2*f. Is h - (2 + -2 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 18 + 20 = 0. Suppose 4*n = -c*n + 12. Let v be (8\/(-7))\/(3*14\/(-147)). Solve 4 = j + v*x - 10, -2*j = -2*x + n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3526 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.502 - -69.298. Let d = 283 + -353. Let b = a + d. Sort b, 0.3, 2\/7 in increasing order.\nAnswer: b, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 3*z + 30. Solve 6*n = z*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192413903?\nAnswer: 11, 53, 330041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 4*i**2 + 6*i**2)*((0 + 1 - 3)*(2 + 3 - 4) + 4 - 2 - 3 - 1 + 6 - 3 - 2 + 2 - 2 - 1 + 5 - 6 - 1 + 3 - 3 + 0 - 5 + 3)*(0 + 26 - 8).\nAnswer: -1008*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*k + 28, -44 = 5*s + 3*k - 12. Let l(q) = -q + 6. Let r be l(4). Sort r, -16, s in descending order.\nAnswer: r, s, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (48 - 20) - (0 + -7 + 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5508\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*p + 355*p + 64*p - 86*p to j*p + t and give j.\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37176953\/960 - 38726. Find the common denominator of 5\/72 and a.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v + 16. Let w(h) = 1. Let r(j) = -3*w(j) + y(j). Let p(k) be the second derivative of -5*k**3\/6 + 3*k**2 - 14*k. What is 13*p(d) - 6*r(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**2 + 9*n + 4. Let d be s(-7). Suppose -5*j - 4*t = 194 + d, 0 = -4*j + 3*t - 273. What is the units digit of j\/(-14)*(96\/9 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 300113300?\nAnswer: 300113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**3\/3 - 9*j**2\/2 - 14*j + 24. Let k be i(-7). Let q be k\/(-2)*(-4 + 3)\/(-1). Solve 4*v = 5*l, q = 2*v - 2*l + 1 - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 163818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97590 or -97591?\nAnswer: -97590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*d + 6*d - 1362, -2*p - 10 = 0. Let s = d - 190. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a factor of 1228474056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)\/(j\/(j\/j**6))*((j**(1\/4)*j)\/j)\/((j**(-1\/6)\/j)\/j))\/((j**0)**(-43)\/((((j**6*j)\/j*j)\/j)\/(j*(j\/(j*j*j*j**5*j))\/j))) assuming j is positive.\nAnswer: j**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.5 and 244147.\nAnswer: 244148.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {h: 2, i: 1, x: 4, s: 1, z: 2, j: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -10*c + 8374. Let t(r) = 312*r. What is o(t(s))?\nAnswer: -3120*s + 8374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50b4a8 + -7?\nAnswer: 50b4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-4*o + 2*o + 4*o) + (3 + 3 - 4)*(2*o + o - o) + o + 5 - 5 + 2 - 2 + 2*o - 1 + 1 + 2*o - o + 1 - 1.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + d38d?\nAnswer: d388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1573 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m. Let j = 442 - 318. Let l = j + -139. Sort l, m, 4.\nAnswer: l, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*c - 3*n + 3, -c - n = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -7.9. Let b = x - 4. Let c be 10\/24 - (-1)\/(-4). What is the third smallest value in b, c, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26956614, -53913230, -80869846, -107826462, -134783078?\n\"Answer: -26956616*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + n - 12. Let r = 8 - 12. Let t be ((-10)\/4)\/((-2)\/r). Let a be j(t). What is the greatest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -425, -415, -401, -383, -361?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -100. Let u be ((-245)\/q - -1)*-10*3. Suppose -17*t - u = -20*t. What is the remainder when t is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858570 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = n + 2*n - 5, -2*n = 4*g - 4. Let a = g - -2. Solve 40 = 5*v - a*i, 2*v + v - 3*i = 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 25*f**2 + 2*f - 2. Let y be a(-2). Suppose -r - y = -604. Suppose 6*g = -0*g + r. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -57*j**2 + 68*j + 165. Differentiate a(k) wrt k.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 3092*s\/3.\nAnswer: -2*s*(s - 7730)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -44 (b) -8 (c) -4 (d) -2 (e) 5132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 8*f**2 + 8. Let s be v(-8). Let y(o) = 3*o - s + 1 - 4*o. Let j be -2 - 0 - 7\/7. What is y(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y - 1. Let b(d) = -16*d - 1. Let h(x) = 5*b(x) - 6*w(x). Suppose 3 + 3 = 2*t. Is h(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -29534*t**2 + 142*t - 40. Let o be y(45). Round o to the nearest 1000000.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 768*r - 648. Let z(t) = -59*t + 50. Let g(s) = -4*w(s) - 54*z(s). Differentiate g(b) wrt b.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 + 121.9999949. What is f rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3622801 micrograms to milligrams.\nAnswer: 0.0003622801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -695 - -701. Suppose -189 = l*h - 375. Calculate the highest common divisor of 62 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxlpppfvppvpplfvlp. What is prob of sequence pp?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 67.2. What is the nearest to -0.1 in -0.1, 2\/5, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*x - 288 + 96, x - 48 = 2*g. What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**4 + 40*k**3 - 15*k**2 - 60*k + 20.\nAnswer: 5*(k - 1)*(k + 2)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 11*h - 4. Let x(j) = -j**2 + j - 1. Let d(b) = r(b) - 6*x(b). Does 16 divide d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -20. Let f = 0.52 - -111.48. Let w = 115 - f. Which is the biggest value? (a) g (b) -4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202 and 18.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + 0.41. What is the third smallest value in 5, 3.3, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131, -1105, -3757, -8927, -17455, -30181, -47945?\n\"Answer: -140*p**3 + p**2 + 3*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 8*p - 5. Let x be i(-7). Suppose 98 - 286 + 68 = -8*j. What is the remainder when 6\/(-3) + x - -74 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -169 + -2 + 3 + -1. Let h = x + 324. Suppose 0*l + h = 5*l. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8 + 2 - 50*q**2 + 11 to t + p*q + r*q**2 and give r.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**3 - j**3 - 3 + 4)*(-8*j - 2*j - j) as p*j**3 + u*j**4 + d*j + c*j**2 + r and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 + -3.29999656. What is h rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -5\/3*f**4 - 14*f**2 + 21*f + 0*f**3 + 0. What is the first derivative of b(r) wrt r?\nAnswer: -40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {d: 1, i: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 24, 35, 64, 117, 200, 319, 480?\nAnswer: 689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-720)\/3000)\/((-114)\/(-10))?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729 greater than or equal to 7730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 0*k - 9\/35*k**5 + 27\/28*k**4 + 1\/42*k**6 - 31\/21*k**3 + 6\/7*k**2 + 96. Let w(f) = 0. Calculate f.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 857*x - 2 + 6.\nAnswer: 857*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*g + 15 = 99*g. Suppose 10*i - g*i + 2*p - 25 = 0, 5*i = -p + 30. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7938 and 1698.\nAnswer: 2246454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 5*n - 15, 8*o - 4*n - 32 = 6*o. Solve -7*q + o + 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967650167?\nAnswer: 11, 87968197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211 - 3?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 55643832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 5. Let f(o) = -o**3 + 4*o**2 + 7*o + 2. Let t be f(g). Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(1\/3)\/b*b*b)\/b*b)**(-4\/11)*b**(1\/7)*b*b\/(b**(1\/8)*b) assuming b is positive.\nAnswer: b**(313\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:38 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*d + 51 + 0 - 12*d)*(4*d + d - 3*d) to z + o*d**2 + t*d and give t.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -26082833\nAnswer: 18257983.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36976 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124198759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -483400 >= -483404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*z - 5. Calculate the remainder when (-1 - -129) + (z - -7) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43618 by -113.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 923, 1956, 3103, 4364?\nAnswer: 5739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36 + 36)*(-2)\/(-4). Suppose -3*d + 2 - 1 = -5*q, h = 3*d + 4*q - 10. Solve -12 = -y + 4*f, -2*f = -y + 8 - d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/13, -2, 1\/6, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 + 6*t - 5 + 63*t.\nAnswer: 69*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/80331 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 0.05485.\nAnswer: 0.60335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/2 (b) -0.8 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2774, -5532, -8282, -11024, -13758, -16484?\nAnswer: -19202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1012181 = 34819. Round d to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.38 and 26792.\nAnswer: 26814.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (-76 - (34 + -63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2287692 divided by 381282?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 2\/15*n**3 + 6 + 0*n**2 - 2\/5*n. Factor z(y).\nAnswer: 2*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {x: 1, l: 3, r: 5, s: 4, v: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64938 or -3672?\nAnswer: -64938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Let j(r) = -14*r + 1. Calculate j(g(u)).\nAnswer: 28*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 5, 0.4801 in ascending order.\nAnswer: -4, 0.4801, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 132 + 5?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 - 856?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 73. Calculate r(24).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 + j + 2. Let t be y(0). Factor -4\/5 - 8\/5*f**t - 2*f - 2\/5*f**3.\nAnswer: -2*(f + 1)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**2 + 4*m**2 - 38*m**3 - 23*m**2.\nAnswer: -38*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 120. Let v be (-2)\/20*d - (-3164)\/70. What is the greatest common factor of v and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -14, -4\/9 in decreasing order.\nAnswer: -4\/9, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354270881?\nAnswer: 1601, 221281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 2. Calculate the smallest common multiple of 20 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/20)\/(5\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-5)*(-20)\/6. Suppose -2*o + 5*k - f*k + 71 = 0, -200 = -5*o - 2*k. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17151122 to the nearest integer?\nAnswer: 4141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1549\/21 - -223\/3. Let -2\/7*x**2 - 6\/7*x - h = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.958 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3075659*y - 4410570 wrt y?\nAnswer: 3075659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -17*c**2 + c - 1. Calculate p(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**2 + 32985*q - 14962150 = 0?\nAnswer: 490, 6107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1132\/283)\/(1\/26) is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q - 298. Let s = 273 + q. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*w + 56*w = 1720*w - 19770 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7175 and 1285.\nAnswer: 1843975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -203, 2\/7, 0.005706?\nAnswer: 0.005706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 4. Let t(w) = -4*w + 5. Suppose n + 0 = 4. Let l(y) = n*t(y) + 5*o(y). Let d be l(0). Solve d = i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.3 or -3?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecee when four letters picked without replacement from eeeececcqceeceeeece?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d5 (base 16) to base 12.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -19688\/47 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4620? (a) 0.3 (b) -395 (c) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 3. Let t be (-9 - 387\/(-27))*(-6)\/8. Suppose 5*x + 0*x = 20. Suppose -2 + 22 = x*f. Let v(u) = 2*u - 2. Calculate f*v(r) + t*l(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5571714.\nAnswer: 2, 3, 928619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - 32. Let q = y + 130. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o**2 + 1. Let t(d) = d**2 - 6565*d + 39360. Let p be t(6). Let j = 2 + -1. Let w(q) = -4*q**3 + 9*q**2 - 6. Determine j*w(b) + p*n(b).\nAnswer: 2*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*d - 28, 0 = d - 2 + 7. Suppose i + w + r = 0, -2*i + 6*i + w + 33 = 0. Let p(b) = b**3 - 9*b**2 + 7*b - 3. Let j be p(8). Is i > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12 + -2)*-4*(-4)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33321003331 (base 4) to base 6.\nAnswer: -225142301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 5:57 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -10 - -9) + 4 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/21 - 1)\/((-11)\/77)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203949391 to the power of 1\/4, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/59, 2\/11, -5, -2\/49, 242, 0.4?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 0 + 0*c - 25*c**2 + 7\/480*c**6 + 0*c**4 + 1\/120*c**5 + 0*c**3 + 1\/280*c**7. Factor j(t).\nAnswer: t**2*(t + 2)*(3*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 1 - 1)*(3*k + 5*k + 0*k)*(394 - 154 - 151) - 1 + 2*k + 1 + (3 - 3 + 2*k)*(3 - 1 - 3) - 4 + 4 + k in the form y + a*k and give a.\nAnswer: 4273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 4. Let d be j(6). Suppose -f + 12 = f. Find the common denominator of -95\/2 and d\/f + 249\/198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1488 and 2530716.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w**5 + 367*w**4 + 2449*w**3 + 945*w**2 = 0.\nAnswer: -5, -7\/17, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 68 = -11*u, -6*u = 63*f - 58*f + 53 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3949, -3880, -3791, -3682, -3553?\n\"Answer: 10*f**2 + 39*f - 3998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 985*j + 11061*j**2 - 985*j.\nAnswer: 11061*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3625 and 406.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**4\/5 + 96*z**3\/5 - 372*z**2\/5 - 96*z\/5 + 378\/5 = 0. Calculate z.\nAnswer: -1, 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:12 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -266, -379, -488?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omowowmwoow. Give prob of picking 2 o and 1 w.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -2\/33*d**3 + 0 - 6*d + 1\/11*d**2 + 1\/66*d**4. Factor w(h).\nAnswer: 2*(h - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*q**2 + 5*q**3 - 2 + q - 7*q**2 + 84*q**4 - 5*q**3 - 86*q**4 as n*q**2 + o + s*q**3 + d*q + c*q**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-3 - sqrt(77))\/sqrt(11)*4)**2 - (-4 + (sqrt(7)*-3)**2 + sqrt(7))*-2.\nAnswer: 2*sqrt(7) + 1910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 221 - -11?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u + 22. Let f be q(0). Let l = f + -8. Let v be (-4)\/6 + l\/3. Solve -12 = -v*i + i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1278.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3\/11 (c) -4 (d) 51 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*v - 6. Solve y = w - 0*w + 7, v*y + w = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**12*l**(-4\/13))\/(l*l**(-2\/3))**17)**(-4) assuming l is positive.\nAnswer: l**(-1096\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 271 - 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.095 and 73385447.\nAnswer: 73385446.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/((sqrt(40) + 3*sqrt(40) + sqrt(40))\/sqrt(10)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9890*r - 10. Let p be w(1). Let y = -6695 - p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-20)*w)**(-2\/17) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 794*b = 776*b + 54. Put -4, 12, -1, b, 72 in decreasing order.\nAnswer: 72, 12, b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from hddcdhcccdcd.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 845, -3, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3828\/21 + 4\/(-14). Suppose 2*n + b - 83 = -4*b, -3*n = -4*b - y. What is the greatest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose 2*s - 4 = -3*b + v, 6 = 2*s - 4*b. Suppose -2*z = 4*t - 18, s*t + 2*z + 3*z = 17. Solve 0 = 4*o - w - 7, 4*o = -0*o + t*w + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-3))\/((-6)\/21)*-2. Suppose 0 = q*s - 4*s - 100. Let y(j) = s - 3*j - 2*j + 4*j. Determine y(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 191. Let q be m\/(-30) + (-6)\/(-15). Suppose -3*h - 5*v + 23 + 19 = 0, -2*h + 2*v = -28. Calculate the highest common divisor of h and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 6 - 11)*(50*i**4 + 5*i**2 - 5*i**2).\nAnswer: 1250*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 5*i + 25, 38006*i + 33 = -5*p + 38004*i for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1015084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179927391923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 16, -28, -134, -326?\n\"Answer: -4*j**3 + 5*j**2 + 7*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513750687 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*z - n = 134*z - 359839, 0 = -3*z + n + 269874. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - v**2 - 2*v**2)*(-15*v + 3*v**2 + 15*v + 1) to the form h*v**2 + y*v**3 + i*v + u*v**4 + p and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 29. Let d = 27 + -38. Let h = d + 21. Solve o - h = u*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855807 divided by 3611.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 178, 5\/88, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - -3*(sqrt(68)*3 + sqrt(68) + sqrt(68) - sqrt(68))) + 2*sqrt(68)*1)\/(2*(sqrt(8)*1)\/sqrt(2)*-4).\nAnswer: -15*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - v**2 + 2*v - 2. Let z(p) = -p**3 + 9*p**2 - 6. Let n be z(9). Let t(c) = -2*c - 8. Calculate the remainder when a(2) is divided by t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -4*v + 8. Let p be (-72)\/(-38) - (-7)\/((-1330)\/(-20)). Solve b = -3*n + 19 + 1, 0 = v*b - p*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 541649, 541719, 541765, 541775, 541737, 541639, 541469, 541215?\n\"Answer: -2*o**3 + 84*o + 541567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b = -7*b + 182 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1476159 + -1\nAnswer: 1476158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/(-3)*344. Suppose -321 = -o + g, -119 = -o - 5*g + j. What are the prime factors of o?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(2*(-1)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.98933 - 0.01067. Which is the closest to w? (a) -0.4 (b) -5 (c) 33\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - 2 - -21 - 1*6. Solve n*o - 11 = -f, -f - 3*f + 2*o = -8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.6*-0.7\nAnswer: -26.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*m**3*s + 3*m**2*s + 2*m**2 - 5*s wrt m.\nAnswer: -300*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.087, -4?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 2 - 4*q)*(-1 - 2 + 4) - 1 + 1 + q as t*q + u and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-4 + (7 - (-6 - -19)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c**2 - 57*c - 11. Determine d(-6).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 - (-31 - 14) - (1 - -4). Solve 2*p + 2 = -2*s, -g*s + 11 = -3*p - 35*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 - 67. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 15.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 12\/8*160\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5147552 divided by 85\nAnswer: 5147552\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4950 (base 14) to base 7\nAnswer: 52230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-1)\/83) - -1. Suppose 0 = -s + 2*p - 105, -3*p - 2*p - h = s. Let z be (-40)\/s - 6\/27. What is the smallest value in 2, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 412 by 593542.\nAnswer: 206\/296771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*b - 24, 5*t - 3*b + 2*b - 6 = 0. Solve k - 3*o = 1, 3*k + t*o = -0*k + 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - 0.2. Let g = -15095 + 45310\/3. Sort 0.4, x, g in descending order.\nAnswer: g, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 2, 0.1, 3\/2, -4, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222717\/5770 - 1\/1154. Let z = -39 - l. Suppose 4*k = -g, 2*k + 9 = 2*g - 1. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*c*v**2 + 160*c*v - 40605*v**2 + 44988 wrt v.\nAnswer: -104*c - 81210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421292.\nAnswer: 2, 105323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = -t + 4*f, 3*f = 3*t - 9. Solve x - 8*r = -t*r + 17, 4*x + 32 = -4*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.13 - 0.17. Let g = x + 0.3. Let u = 18.4 - 18. Which is the closest to 0? (a) g (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 18 - 37*z - 7*z - 183*z + 18.\nAnswer: 5*z**2 - 227*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 2*d - 19, 54 - 73 = -5*p + 3*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7398782.45 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -1\/2 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r + 5*o + 25 = 0, 0 = r - 2*o - 1. Let m be (-22)\/r - 1\/3. Let h(f) = -f**2 + 8*f - 7. Let p be h(m). Solve -n - n = p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(567) + sqrt(567) + 3 - sqrt(567))**2*-1.\nAnswer: -571 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 762102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) -1\/3 (c) 202 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-22)*(-55)\/30. Sort 6, q, 0, -2\/7, 2\/13.\nAnswer: -2\/7, 0, 2\/13, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.456485km in millimeters?\nAnswer: 456485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 569349*d**5 - 2*d**2 - 63*d + 122?\nAnswer: 34160940*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (4 - -2) + -4. Let m = p - -149. Calculate the highest common factor of m and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**2 + 9*a**2 + a**2 + 5. List the prime factors of x(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 2*r**2 + 6*r**2 + (2*r - 2*r + r)*(-82 + r + 82).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aad57b (base 14) to base 6.\nAnswer: -324143545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 652370617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*q + 124 - 53*q - 50*q - 44*q.\nAnswer: -4*q + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 - 8173*s**2\/5.\nAnswer: -s**2*(s + 8173)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8167 + -57167\/7. Factor 4\/7*p + 0 + k*p**3 - 6\/7*p**2.\nAnswer: 2*p*(p - 2)*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 2. Let i be y(2). Let h be 8\/i*(3 + -6). Is -138*(h\/8 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 36, 0, 0.29 in descending order.\nAnswer: 36, 0.29, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 25*j + 160. What is the remainder when 792 is divided by g(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -34?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -380167, -760330, -1140493, -1520656?\n\"Answer: -380163*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 - -58) + (2 - 0) + -18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b = -4*u - 108, 34*u - 37*u + 45 = -3*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/17))\/v)\/v)\/(v\/(v**0\/v)*v)*(v\/v**(-1\/3))**(-7\/6) assuming v is positive.\nAnswer: v**(-832\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -21429*p + 21453*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76150973909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 + 9*g**2 - 4*g + 4. Let c(u) = 13*u**3 + 19*u**2 - 9*u + 8. Suppose -233 = 170*j + 1297. Give j*n(o) + 4*c(o).\nAnswer: -2*o**3 - 5*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 266277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -12*h - 41. Put h, 1.9, 3 in ascending order.\nAnswer: h, 1.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13731 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 918651259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*l**2 + 62*l**2 + 24*l**2 + (2*l + 0*l - 3*l)*(-5*l + l + 5*l))*(-3*l - 2*l + 6*l).\nAnswer: 145*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-1) + ((-693)\/(-54) - 8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11141.5 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 - 15*k**2 - 162*k - 298. Let m(y) = 14*y**3 - 85*y**2 - 811*y - 1489. Let p(v) = -11*a(v) + 2*m(v). Suppose p(j) = 0. Calculate j.\nAnswer: -5, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224792 - -573?\nAnswer: 225255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 503*u + 507*u = -67, -v - 5*u = 4 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 1. Let u = 0.5 + t. Suppose -7 - 8 = -5*n. Sort u, 0.3, n in decreasing order.\nAnswer: n, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3.83 (b) 1\/2 (c) 2\/30007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 12. Let g(o) = 6. Let h(y) = -9*g(y) + 4*k(y). Is h(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 19*l**2 - 4*l + 9. Calculate m(19).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(1120\/(-6)))\/((-2)\/(-10))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396705?\nAnswer: 3, 5, 53, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 7*x + 3*g, -770*x + 769*x - 3*g = -8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2551 - -3258. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(17 - 245*r + 742*r - 245*r - 249*r) to x + k*r and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k + 10276 = -292*k - 18*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, s: 3, v: 2, x: 1}. What is prob of sequence asa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 315?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(396)\/sqrt(99))\/sqrt(3))\/(4*sqrt(256) + -5*sqrt(16)*-1).\nAnswer: -sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = m + 4*m + 3*g, 3*g = m + 16. Let v = m - -18. Solve 3*h = -3*x - x - 17, 0 = -v*h + 5*x + 30 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239 (base 13) to base 4.\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 42 = -3*o + 9*v, 3*o + v = 36. Suppose 9*c = 13*c + 3*g - o, 0 = -g - 1. Solve -2*w - c = -0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -495 - -773. List the prime factors of y.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*z - 37. Suppose -2*x = -4*a - 4, a + 2*x = -2*x + 8. Suppose a = -4*d - z + 134. Calculate the greatest common divisor of 45 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m**4\/7 - 120*m**3\/7 + 148*m**2\/7 - 48*m\/7 = 0. What is m?\nAnswer: 0, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*i - 214 - 177. Find the second derivative of -13*v**5 + 20 - 22*v - i + 17*v wrt v.\nAnswer: -260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 13. Suppose -5*p = -g*p + 1099. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0802? (a) 2\/5 (b) 0.2 (c) 4775\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:23 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2)*12*(-12)\/1152.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19241815 divided by 5?\nAnswer: 3848363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -109 (b) -3 (c) 4 (d) -0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*w + 4*f - 33, -5*w - 4*f = -159. Let z = w + 64. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x + 2. Let g(o) = -o**2 + 11*o - 8. Let a be g(10). Let y(w) = -2*w**2 - w**3 + 2*w**2 + a - w. Let v be y(0). What is f(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 - 48*r**3 + 40*r**2 - 235*r + 6001581 wrt r?\nAnswer: 8*r**3 - 144*r**2 + 80*r - 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, -10, -68, -170, -328, -554?\nAnswer: -860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 1604*j**2 + 117904*j - 2131584.\nAnswer: 4*(j - 312)*(j - 61)*(j - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*i = -39*i + 60 + 7556 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/18 + 11*r**2\/6 + 121*r\/6 - 37. Factor i(t).\nAnswer: (t + 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 20341303410?\nAnswer: 20341303410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drr when three letters picked without replacement from drllllwlrlrlulrwlrlw?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 w, and 1 d when four letters picked without replacement from {x: 2, d: 2, w: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + 39. Suppose -u - 26 = -j. What are the prime factors of j?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -115?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004003 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*q - 2*q - 2, -q - g + 2 = 0. Let f(o) = -2468*o**3 - 4*o**2 - 5*o - 2. Is f(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 13}. What is prob of sequence dx?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3513*o**2 - 10 + 14751*o**2 + 10.\nAnswer: 11238*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -213342 (base 5) to base 16\nAnswer: -1cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 34499.712 to the nearest 100.\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 58*u**2 + 39*u - 62. Suppose -6*f + 171 = -3. What is the thousands digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 367*d + 21 = -363*d + 3, 18 = 4*q + d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 29. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680498.\nAnswer: 2, 7, 13, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2065 + 7889?\nAnswer: 5824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -82*p + 321. What is b(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xecxexcwpc. What is prob of picking 1 e and 1 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91067099?\nAnswer: 91067099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976 less than -2?\nAnswer: -4978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -249 + 251. Solve a*l + 3*l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6967, 13996, 21025?\nAnswer: 28054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.34 - -1.36. Let y = 30 - 29.5. Let n = -4 + 3. Sort b, y, n in decreasing order.\nAnswer: b, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 42. Let o be (-142)\/92 - (n\/(-2))\/3. Is 1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 1)*(-3*r**3 + 3*r**4 + 3*r**3) - 4*r**3 + 2*r**4 + 4*r**3.\nAnswer: 11*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:26 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34521209.3 * 4.\nAnswer: 138084837.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*h - 16, h - 5*y + 2 = -5. Suppose -7*v + 5*v = -4, -69 = -h*r - 3*v. What is the remainder when 39 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let a be s(-1). Suppose -w + 0*w + a = 0. Let y be w + 0 - (-24)\/(-9). What is the third smallest value in -4, y, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52 and 0.121.\nAnswer: 52.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127.2 + -1.2. Which is the fourth smallest value? (a) -1\/4 (b) -0.4 (c) -1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 4*x + 76. Let s(q) = 32*q - 21. Is s(x) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1598, 6427, 14476, 25745, 40234, 57943?\n\"Answer: 1610*v**2 - v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (40 + -18) - (0 + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 1, y: 1, o: 1, f: 1, h: 1}. Give prob of picking 1 c, 1 f, and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 - 1264 + 635 + 629.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 513052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*o - 6*o - 4 - 7 + 10 to g + b*o and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25140 + -25140.1. What is the fifth biggest value in 2\/49, -2, -0.2, 2\/21, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/5)\/12*690\/16560\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.932 + 0.068. Let p = y - 9.7. Let x = p + -1. Which is the closest to -0.4? (a) 4 (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 19. Let t = 0 + -3. Sort t, a, -1 in increasing order.\nAnswer: t, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -428, -946, -1660, -2564, -3652?\nAnswer: -4918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -67*p**5 + 13*p**4 - 26*p**2 - 13. Let j(o) = -33*o**5 + 6*o**4 - 13*o**2 - 6. Let s(h) = 6*g(h) - 13*j(h). Find the third derivative of s(u) wrt u.\nAnswer: 1620*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 150 - 75. Suppose p = 4*x + 27. Suppose 0 = 2*j + j + 6, 2*j - x = -4*f. Solve f*c + z = 7, -3*c + 0*z = -z - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 5*z + 249, -x + 2888884*z - 2888888*z - 199 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -161.08 * 38\nAnswer: -6121.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34330?\nAnswer: 2, 5, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 l when four letters picked without replacement from callk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, z: 9, b: 4, k: 1, i: 1}. Give prob of sequence xb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 710150212 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 10*o**3 + o - 8*o.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 131171838 a multiple of 2562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 817519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**2*k**6 + 37*b**2*k**4 + 34*b**2 + 13*k**2 wrt k.\nAnswer: -1800*b**2*k**3 + 888*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.2 + -49. Let t = 1.8 + k. Let p = 123 - 121. What is the second biggest value in 6\/5, t, p?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 35 + 30 - 2*l - 199*l**3 - 3*l**2 + 31 - 98 to q*l**3 + p*l**2 + a + y*l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = q + 11, -j - q + 17 = 2*j. Let c = -51 + 56. Calculate the smallest common multiple of j and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.032, 2 in descending order.\nAnswer: 2, 1\/6, -0.032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(162) + sqrt(162) + sqrt(162)*3)**2 + 4 - (sqrt(162) + (4*sqrt(162)*2)**2)) + -1)*2*3.\nAnswer: -37872 - 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + d**3 + 3*d + (18*d**2 - 6*d**2 - 4*d**2)*(42*d - 6 - 22 - 40*d).\nAnswer: 17*d**3 - 224*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 597*m - 593*m + 21*o - 71, -m - 2*o = -8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -822.865459 rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 994528*g - 247271485696.\nAnswer: -(g + 497264)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30456 (base 7) to base 8\nAnswer: 16420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.9 and -0.5.\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 371222731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-210)\/6)*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7316*p**3 + 14524*p**3 + 1429*p**3.\nAnswer: 23269*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -3*q + 67 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42518, -47301, -52084?\nAnswer: -56867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -42*y + 1457. What is f(-4)?\nAnswer: 1625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(770\/15 + -1 + 0) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*g + 33, -2*o - g + 2*g = -27. Let r = o - 8. Suppose 0 = 4*f - r*f + 16. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 + 183. Let y = i + 3. Solve v + 6 = 2*h - y, 2*v + 2*h = -6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a + 2*a + 27*a**2 - 3*a - 25*a**2 + 12. What is the units digit of n(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 202, 238, 286, 346?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3177?\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -30*c**3 + 515*c**2 + 620*c - 3060 = 0.\nAnswer: -17\/6, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 4*n + 2*u + u, -1 = u. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1840 - 1840 + 6*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 3:58 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -23.32 not equal to -3982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 489, 1065, 1861, 2877?\nAnswer: 4113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 45*q - 179. Determine i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 9) to base 4.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 373683, 1495078, 3364181, 5980992, 9345511, 13457738, 18317673?\n\"Answer: 373854*f**2 - 167*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/7 + 5*p**3\/7 + 3*p**2\/7 - 13*p\/7 - 10\/7 = 0. Calculate p.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -19. Let w = -1 - y. Let c be 1568\/154 + (-2)\/11. What is the closest to c in 2\/7, w, 4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Suppose -2*q + 14 = -d*p, 0 = 3*q - 5*p - 7 - 16. Put q, 0, -1 in increasing order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -118. Put -8, 1, c in increasing order.\nAnswer: -8, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12498291?\nAnswer: 3, 13, 106823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:51 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000384 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 37895701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*x + 230*x - 694*x + 377*x.\nAnswer: 192*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(833)*2 + sqrt(833) + sqrt(833) + 1)**2 + 0 + 1*sqrt(833)) - (-4 + -1 + sqrt(833) + 5 + (sqrt(833) - ((sqrt(833) + -1 - sqrt(833))**2 + -5))).\nAnswer: 175*sqrt(17) + 39983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 3*l**2\/2 + 7. Let z(x) = -2*x. Calculate z(t(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -19247696.12 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {i: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-73 + -1)\/((-2)\/1). Let s = l - 37. Solve s*f + 16 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28752 or 3\/995?\nAnswer: 3\/995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*c**2 + 111*c**2 + 59*c**2 + 183*c**2.\nAnswer: 293*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1069406 = -4*u, 0 = -47*u + 42*u - 3*s + 1336771. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*s + 2*k, -3*s + 12 = -2*k + 2. Suppose s = -5*i + 440 + 165. What is the greatest common factor of 33 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 5 + 3 + 540\/28. Let v = q - 23. What is c in 0 + v*c**4 + 6\/7*c**3 + 6\/7*c**2 + 2\/7*c = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 1 + 6 + 0. Let c(i) = -i**2 + 1. Let y(l) = -5*l**2 + 3. Let x(w) = a*c(w) - y(w). Let v(q) = -3 + 3 - 2*q**2. Give x(v(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -1*1 + 4. Let h(v) = 19*v - 16. Let o be h(1). Let q(l) = 4*l**2 + 7*l - 3. Let u(j) = 9*j**2 + 17*j - 7. Let i(p) = o*u(p) - 7*q(p). What is i(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w + 1438. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + (-44)\/(-3 + -1))\/2. Solve -i*n = -7*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262 and -2.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 15\/4573?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spsssswsk. What is prob of picking 1 w, 1 k, and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-35) - 36\/(-10). Let x be 22\/v - (-4)\/8. What is the greatest common divisor of x and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91\/52 + (-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-1))**12\/(x*x**2)**25 assuming x is positive.\nAnswer: x**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285179 or -3136962\/11?\nAnswer: -285179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 divided by 176?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459047, 459058, 459075, 459098, 459127?\nAnswer: 459162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 divided by 31?\nAnswer: 769\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 496 + -501. List the prime factors of 0 + d\/1 - 2*-150.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (32\/(-20))\/(0 - (-4)\/(-10)) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6459936?\nAnswer: -5\/6459936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3520 and 11?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 85, 348, 787, 1402, 2193?\n\"Answer: 88*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -333*y - 129. Is g(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = l - 68, 2*l = -2*x + 40. Let o(v) = -v**3 + 9*v**2 + v + 1. Calculate the lowest common multiple of x and o(9).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7785431.\nAnswer: 23, 338497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-20))\/(6\/15). Suppose -5*p + 4*j = -34, -8 = -2*p - j + 3. Let x be 6\/(-9) - (-4)\/p. Which is the smallest value? (a) -0.2 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 5*r + 6*r**2 - 1\/2*r**4 - 11\/2.\nAnswer: -(r - 1)**2*(r + 1)*(r + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**3 + 208*h**2 - 202*h - 721. Give k(-105).\nAnswer: -1561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {o: 3, t: 1, f: 1, k: 4, a: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8430)\/9835)\/(3\/21*-11)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, 11, 3540.03?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 8. Let h(k) = -k + 2. Does 5 divide h(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + 4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 184\/7 + -26 - (-276)\/14. Solve 17*l = u*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33338, -133050, -299128, -531578, -830406, -1195618, -1627220, -2125218?\nAnswer: -2689618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + s**2 + 11*s**2 + 15*s**2.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 29886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*t + 71, 4*t + 2*q - 42 = 48. Let m = 27 - t. Solve 0 = 5*b + 19 - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 50 = -410. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-2\/3)))**(-21))**(4\/5)*(p*p**(-1\/3)*p*p**(1\/2))**10 assuming p is positive.\nAnswer: p**(157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 11) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 5:16 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 185\/2 (b) 1 (c) -2\/17 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3*o**2 - g**3*o + 8804*g + 633*o**2 - 4 wrt o?\nAnswer: 10*g**3 + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67210469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + 0.12. Let w = x + 0.07. Let t = -0.5 + w. Is -0.1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llkp when four letters picked without replacement from lklppllppp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/3 + 11*x**2\/2 - 8*x - 633. Suppose 5*o = -38 - 22. Let d = o - 0. Determine q(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 18 = 9*o. Suppose o*v = 14*v - 140. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/7)\/((-6)\/28). Let o be 1\/(-4) + 39\/j. Suppose o*i - 753 = -0*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11476350.\nAnswer: 2, 3, 5, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 84, 3, 4, 463 in ascending order.\nAnswer: -5, 1, 3, 4, 84, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -7.3. Let j = -2272056.999958 + 2272064. Let b = j - a. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1704, -1569, -1438, -1311, -1188, -1069?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 12. Let q = t + -2. Let g(v) = 30*v - 5. Is g(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 6 = 16*y. Let f be (4*(-1)\/18)\/(y\/(-9)). Factor -4*p - 4 + 3*p**f + 3 + 1 - 4 - p**4 + 2*p**3.\nAnswer: -(p - 2)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/362 + 729\/1810. Which is the closest to -1\/3? (a) f (b) -3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 8*d - 10. Let o be (-8)\/d*(1 + 0). What is the units digit of o - -6 - (-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/45 - (-74)\/9. Let q(c) = -c**3 + 4*c**2 - 2*c - 3. Let y(b) = 4*b**2 + 2*b + 1. Let m be y(-1). Let s be q(m). Solve -u = -4*w - s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q)\/q*q**3\/q*(q**(-1))**(-2\/23) assuming q is positive.\nAnswer: q**(2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1113491711 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2 + 5*w + 1. Let v(o) = -o**2 + 3*o - 2. What is -u(z) + 2*v(z)?\nAnswer: 10*z**2 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 - 56*a**2 + 1 - 6*a**3 + 46*a**2 to u*a + l*a**3 + y + i*a**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -343.98 + -0.7?\nAnswer: -344.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 1023, 1614, 2259, 2958, 3711?\nAnswer: 4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 9}. Give prob of picking 2 k.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, x: 4, r: 3, t: 1, i: 1}. What is prob of sequence ri?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + 5694\/(-104) + -2*(1 + -2)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2)*1)\/(-8*(-342)\/288)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, -3, 61?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 108302221, 108302219, 108302217, 108302215?\n\"Answer: -2*p + 108302223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1052 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -6. Let b(v) = -40*v**2 - 1. Let f be b(s). Calculate the common denominator of 17\/6 and -2 + -2 + f\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1663889175?\nAnswer: 3, 5, 13, 189617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004767625 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 239 + -28. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*h + 130 = 0. Let g be (h\/(-8))\/((-3)\/12). Suppose 4*u = -v + 67, 2*u = 5*v + g + 26. Solve 3*t = -5*k - u + 1, -4*k = 2*t + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - 123?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -9244\/1261 and -6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + p + 9 = 0, -3*a + 9 = 3*p - 8*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13329901609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 344*f**2*r - f**2 + 205*f wrt r.\nAnswer: 344*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10990*y + 13020 wrt y.\nAnswer: -10990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28812939 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 191. Let y(s) = 32*s - 5. Calculate v(y(p)).\nAnswer: -64*p - 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-5 - 1)) + -10 + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 98 = c, -3*a + 189 = -3*c + 39. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p**3 - p**2 + 3*p + 2. Let a(d) = -3*d + 134. Let r be a(45). Let z be u(r). Solve 0 = -v + z*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/2)\/(-15)*(-119280)\/2520?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -149*j - 17. Let q(d) = 223*d + 24. Determine -7*c(i) - 5*q(i).\nAnswer: -72*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 22*x + 82. Let u be d(-25). Solve -2*w - 8 = -2*r, 2*r - 5*w = -6*w - u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i*y**3 - 78*i*y*z**2 + 208676*i*y + 4*y**3 - 841*y**2*z**2 - 2905*z**2 wrt i?\nAnswer: y**3 - 78*y*z**2 + 208676*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631333412?\nAnswer: 2, 157833353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a - 15. Let b be o(4). Calculate the common denominator of (-9)\/b - 255\/(-18) and 91\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -2.3. What is the closest to y in 2, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2869466685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 97, 1\/9, 4\/5, 5?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 - 8*l**2 - 7*l**2 + 36*l**2 - 6*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3*l = -12. Calculate the lowest common multiple of 5 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 4*j + 3 + 0*j + 1028*j**4 + 11*j - 984*j**4 to the form o*j + k*j**2 + c*j**4 + p + u*j**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68824 is divided by 90.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/10)\/((-70)\/8). Let q(j) be the second derivative of 0*j**2 + 0 + a*j**5 - 1\/21*j**4 - j + 2\/105*j**6 - 4\/21*j**3. Factor q(v).\nAnswer: 4*v*(v - 1)*(v + 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 4*o. Let l be (-17)\/(-3) - (-8)\/24. Determine h(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1090249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (96\/(-4))\/3 + 2. Let n be 1 - (-1364)\/(2 + p). Is -2 - (-4)\/((-16)\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/13, 9792, -5, -14 in increasing order.\nAnswer: -14, -5, -0.3, 2\/13, 9792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5301581047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 663800845 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/7? (a) -10\/9 (b) -0.002 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r*t**3 - 3*r*t + 1469*r - 71999*t**3 - 20*t wrt t.\nAnswer: 18*r*t - 431994*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 2, 1\/2, 9266, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*l + 4160 = 36*l + 1474 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*sqrt(63)*2)\/(-1*sqrt(144) - sqrt(9)))**2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 501*f**3 + 3*f?\nAnswer: 3006*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1461151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 13711234285.\nAnswer: 13711234284.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 2*k - 14, 3*x + 3*k = x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 9 = 4*w - 10, -4*u = -5*w + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-282))\/(2\/(-3)*(-180)\/(-16))?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 1495.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 != 1889\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3994, -7999, -12016, -16051, -20110, -24199?\nAnswer: -28324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/(-123)*(4 - 22\/4). Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96044 is divided by 2179.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*b - 758*b + 220*b)*(0 + 2 + 0)*(-b + 0 + 0).\nAnswer: 1266*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 17*k + 101. Give c(11).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 992.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2. Let r(y) = 6*y - 10. Let b(f) = -2*f + 3. Let z(g) = -20*b(g) - 6*r(g). Give s(z(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7770\/(-63)*48\/(-40). Let i(p) = p - 70. Let a be i(0). Let x = g + a. Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnsbubjs. What is prob of picking 1 s and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 19 = -2*a + 242, 2*a - 196 = -4*c. Round a to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 135, 71, 0, 5, -1 in decreasing order.\nAnswer: 135, 71, 6, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 14*v**2 - 7*v - 18. Let p be w(-14). Suppose -5*a = 5*g - p, 2*a - a = -3*g + 44. What is the greatest common factor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -500 + 879. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u + 0*u**2 + 13\/5*u**5 + 6 + u**3 + 0*u**4. Find the third derivative of t(q) wrt q.\nAnswer: 312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -0.5. Let g = r - 1.0000048. What is g rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10087.00004573 + 10087. Round v to 6 decimal places.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*f = 123*f + 2*h - 2, 4*h = -2*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64498a (base 11) to base 3.\nAnswer: 1221101210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {z: 2, i: 1, k: 2, c: 1, e: 1, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*j + 138, j - 10 = -4*d + 48. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 + 76. Let w = -27 + 38. Let c = w + -11.04. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4100*d**3 - 176*d**2 - 14138053?\nAnswer: 12300*d**2 - 352*d","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*u + 78 = 0, 4*o - u = -o + 160. Suppose -5*d = 9 + o. Let y be -78750*d\/(-2)*-4. What is y rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3404*v - 6808. Let u(l) = -6*l - 4. Calculate -j(x) + 1702*u(x).\nAnswer: -6808*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 59, 85, 111, 137?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**2 - 6073512*n + 2305471750884 = 0.\nAnswer: 759189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c - 6637 = -3*k, k - 2231 = -4*c. Suppose 5*s - k = 5*n, n = 2*s - 3*n - 880. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = -16, 0 = 2*u - 3*i - 20. Let w = 52 + u. Suppose 5*d - 19 = -y, 2*y + d + 57 = 5*y. Calculate the remainder when w is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000100010 - -1?\nAnswer: 10011000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 10:25 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 434.2784054 - -6747\nAnswer: 7181.2784054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 256800592 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5303 + -5254. Solve -n - i = -46 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4549*s**2 - 4555*s**2 + 910 - 1827 + 917.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -213?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3461.\nAnswer: 4\/3461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*p + 2*w + 48, -5*p = 2*w - 59. Let c(u) = u**2 - 10*u - 46. Let h be c(p). What is the second smallest value in -5, 0.5, h, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142120, 284239, 426358, 568477, 710596?\nAnswer: 852715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 + 17*b - 17. Suppose 3 = 7*i + 87. Is m(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 57607038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255922 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101102331 - 1113?\nAnswer: -101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 596695 by 1.\nAnswer: 596695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.85, 5, -2\/11 in descending order.\nAnswer: 5, -1\/6, -2\/11, -0.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -22. Let x be -3 + 3 - -4 - -1. Suppose -u + 5*u + 19 = k, -r*k = -x*u - 23. Let c(f) = f**2 + 5*f - 2. What is c(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2. Let o(a) = 988968*a. Determine o(z(b)).\nAnswer: -2966904*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36637*r**2 + 2057*r**2 + 93 - 46 - 47.\nAnswer: -34580*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -1789 and -1792 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 101 in -0.1, 0, -2, 7.74?\nAnswer: 7.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 29*d - 2. Suppose -4*v + 35 = -d. Calculate the smallest common multiple of v and 109.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*(t\/t**(-3\/7))\/t*t)\/((t\/t**(-6))\/(t\/(t\/t**(-2\/17)))) assuming t is positive.\nAnswer: t**(-796\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 965149\/5 or 193030?\nAnswer: 193030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6002167 (base 9) to base 2\nAnswer: 1100001010110111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129 - 114. Suppose 3*x + p*x = 4122. What are the prime factors of x?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = 42. Let r = c + 17. Let p(v) = v**2 + 7*v + 3. Determine p(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/70 + 6\/14. Sort 3, -6, h in descending order.\nAnswer: 3, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40145 + 11?\nAnswer: -40134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.5, 20\/29?\nAnswer: 20\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34278957517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 998003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78142 - 53312. Let k = -192454 - f. What is k rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -552*f**2 - 2339*f**2 - f**3 - 698*f**2 in the form n*f + x*f**2 + m*f**3 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 12) in base 9?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d**2 - 2*d - 2. Let v = 6 - 3. Let l = -1 + v. Is 3 a factor of j(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/25 + (-76)\/(-95)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**8\/168 - 44*q**7\/315 + 8*q**6\/45 + 137*q**5\/45 + 97*q**4\/12 + 10*q**3 + 2627*q**2. Let b(l) = 0. What is l?\nAnswer: -15, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*p**3 + 2*p + 296*p**3 - 1313*p**3 + 240*p**3.\nAnswer: -859*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -7 + 39. Let q = -128 - -256. Calculate the highest common divisor of p and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -790054, 1 in decreasing order.\nAnswer: 1, -1, -790054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4 (b) -2\/5 (c) -183 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18*g. Let a be 3 + (0 - (0 - -1)). Let s(x) = 0*x**2 - 4*x**2 + x**2 + x**a. Give s(u(y)).\nAnswer: -648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**6\/15 + 7*y**4\/6 + 7*y**3\/2 + 1431*y**2\/2 + 39*y + 7. Differentiate q(a) with respect to a.\nAnswer: 8*a**3 + 28*a + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 + 54. Let x be -5*(3 - i\/20). Do x and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - 0.067\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 32*q**2 + 192*q + 746. Determine b(-4).\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 5450?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*-6 + -29. Let h be 1\/(-3)*3 - v. Let c = h - 12. What is the remainder when c is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196586 or 196578?\nAnswer: 196586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, 0.058, 1.49?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28123.903 + 28148.102849. Let n = -24.2 + q. Round n to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1068 divide 95122121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5*i**3 + 37*i**2 - 9*i. Suppose -3*s - 3*u - 26 = -17, -3*s + 21 = -3*u. Let x(h) = h**3 + 9*h**2 - 2*h. What is s*d(b) - 9*x(b)?\nAnswer: b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -10. Let y(r) = -2*r**3 + 7*r**2 - 2*r + 29. Let v be y(4). Put v, -2, n in descending order.\nAnswer: v, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 281*t - 32*t**2 + 572*t - 290*t)*(4 - 4 - 2*t**2) in the form j*t**3 + q*t + p*t**2 + h + s*t**4 and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3759 (base 11) to base 9\nAnswer: 6648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1020.1 + 1020. What is the biggest value in o, -4, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (14 - ((-13 - 1) + 10 - 1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99846 is divided by 5872?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*w - 755, 12*h - 755 = 17*h - w. Let c = -148 - h. Suppose 3\/2*l - c - 3\/2*l**3 + 3*l**2 = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/15, 9, 24, 2\/131, -0.04, -1\/5, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 5*c**2 - 4*c. Let h(y) = 19*y**3 + 26*y**3 - 93*y**3 + 25*y**3 + y**2 + 22*y**3. Give 5*h(l) + i(l).\nAnswer: -3*l**3 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 35952500 to the nearest 100000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-112)\/18*(-18)\/(-21)*-51 and 160.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -85*c**2 - 10*c + 9. Determine b(1).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 4 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-20))**21 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 3*d**2 + d**2. Let v(p) be the first derivative of -5*p**2\/2 - 11. Give v(q(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -89*h + 52. Let s(y) = 87*y - 52. Let n(a) = -6*l(a) - 5*s(a). What is the derivative of n(d) wrt d?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + u + 5 = 0, -p + 5*u + 25 = -3*p. Suppose -3*m = -p*m + 18. Let o = 5 + m. Put -3, 2, o in descending order.\nAnswer: 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, v: 1, k: 8, l: 1, p: 4}. What is prob of picking 1 k and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-576)*108 - -65*(2 + (-104)\/50).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g - 425 = 0. What are the prime factors of g?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*z**2 - 128*z**2 - 2 + 6)*(0*z - 2*z + 0*z).\nAnswer: -2*z**3 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1002 = 102*w + y + 2*y - 217 - 1104 - 518, 3*y = -15 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/134702089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = -3*o + 24, 5*o - 22 = 4*j. Calculate the least common multiple of o and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w + 2. Let t be c(0). Suppose t*o + o - 5*p - 5 = 0, -3*o = -4*p - 10. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480074895.\nAnswer: 3, 5, 10668331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 23*t + 35. Suppose t*z + 5340 = 2*z. Let w = z - -1957. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from kiikkbbkk?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 126 - 126 = 0. Is a less than -2\/303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 40 + 443 = 0. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 34080.\nAnswer: 443040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4299168 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/10*-38*1012\/276*(-6)\/(-220)?\nAnswer: -19\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.188476 rounded to two dps?\nAnswer: -9.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4434 - 4434 - 22*h**2 - 15*h**2.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 151334?\nAnswer: -2\/75667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23351115 is divided by 11675543.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 55550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119 - 16) + 80 - -83?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**4\/12 - 7*k**3\/3 - 11*k**2\/2 + 17*k. Let f be o(15). Solve f*j - 11 = -3*s, -3*j - s + 12 = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 2*z**2 + z**2)*((-2 - 3 + 3)*(-1 + 4 - 1) + (3 + 0 - 2)*(-5 - 1 + 4) + 91 + 5 + 6 + (1 + 1 - 3)*(-2 - 2 + 3)).\nAnswer: 291*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {z: 2, m: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 24 = 2*g. Let t be (-12)\/(-9)*(1\/g - -2). Solve -4*a - 7 = -3*s, -5 = -5*a + t*s - s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.343 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 168 - 296. Let n = x - -344. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 18172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/(2684\/610)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*s**3 - 381*s**3 + 416*s**3 - 3*s + 3*s.\nAnswer: 92*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -123474 and -1.6.\nAnswer: -123475.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(275) + 3 + sqrt(275))**2 - (sqrt(11) + sqrt(11) + sqrt(99)*1)).\nAnswer: 55*sqrt(11) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*b + 46. Is 47 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2\/7 + 15783*r\/7 + 31554\/7 = 0.\nAnswer: -5259, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/24*((-24)\/10)\/2. Suppose y*w = -2*h + 70, 4*w + 95 = 3*h + 2*w. What is the highest common factor of 231 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10865\/364 - -1567\/52. Let -w - 2\/7*g**2 + 4\/7*g = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14a5a5 - 4?\nAnswer: -14a5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01613057 to 5 dps.\nAnswer: -0.01613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195623*s + 195635*s + 3*s**3 - 12*s**2 - s**2 to the form d*s**2 + h*s + g*s**3 + f and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 603 and 15335.\nAnswer: 15938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6354)\/861 - (-48)\/112. Is c not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558009.\nAnswer: 2558009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9646 and 65?\nAnswer: 48230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/18)\/(289\/(-109867974)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f. Let s(a) = -5*a**2 - 15*a + 2. Let q(c) = 10*c**2 + 30*c - 5. Let d(b) = -2*q(b) - 5*s(b). Let r = 5144 - 5143. Determine r*d(p) - 15*h(p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*d = -4 - 2, -45 = -5*u - 5*d. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)*a**(-1\/12)\/a)\/(a**0*a**(2\/25)) assuming a is positive.\nAnswer: a**(-137\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -28. Let c = -14 - g. Solve 0 = -0*i + 2*i + c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324\/126*56\/(-264)*(-22)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 972644363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -28*j + 51. Let o(x) = -9*x + 17. Let c(p) = -2*a(p) + 7*o(p). What is the units digit of c(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**2 + y + 5. Let n be t(5). Let l = n + -208. Solve -9 + 1 = -4*x - l*k, -4*k = x - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 6161251?\nAnswer: -6161246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1020.59 - -1025.4. Round o to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1097.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -4*u - 4*k + 6, -9 = -3*k. Solve -2 = -r + u*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(55) + -2*sqrt(55)))\/(2*sqrt(720) + sqrt(720)).\nAnswer: sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x + 6. Let v(j) = -2*j**2. Calculate a(v(k)).\nAnswer: 10*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -5*r - 1262. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 - -680\/11. Let s = -0.16288 + 0.26288. Which is the third biggest value? (a) s (b) u (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.1, 3, -5, -15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1841 = 3*c - 1838. Let o(k) = -k**2 + k + 1. Let z(n) = -6*n**2 + 5*n + 15. Calculate c*o(j) + z(j).\nAnswer: -3*j**2 + 2*j + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7254 and 120.\nAnswer: 145080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 885 + -563. Does 56 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/9 (b) 158 (c) -4\/181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12191*q**3*v**3 + 21168*q**3*v**2 - 146678*q**2*v**3 + 37*q**2*v**2 + q*v wrt q.\nAnswer: 73146*v**3 + 127008*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27977, -55847, -83717, -111587, -139457?\n\"Answer: -27870*b - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 57*z**2 - 110*z + 6. What is k(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15089?\nAnswer: 79, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -6 + -12 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-228)\/(-18) - 10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/9, -14\/13, 3131?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 299 + -873040.\nAnswer: -872741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/28)\/((-14)\/(-8) + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -0.5 (c) -44 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 11 + 11 + -15 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -5\/497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k + 1. Let l(n) = 2*n + 1. Suppose -13*s + 708 = 786. Let x = 25 + -14. Calculate s*z(c) + x*l(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968*k + 438*k - 397*k.\nAnswer: -927*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*k + 44, 4 = 5*k - 1. Calculate the greatest common factor of v and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 - 0.09. Let r = 0 + j. Let a = r + 0.08. What is the biggest value in 1\/3, a, -2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-5)\/v)*v))**(-38)*(v**(1\/4)\/v)\/v*v\/v**(7\/2) assuming v is positive.\nAnswer: v**(1047\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10a710 (base 11) to base 3\nAnswer: 22220100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 62*l + 1752. Let f be g(-21). Calculate the greatest common divisor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.06, -2\/7, 32, 5, -3\/8, 0.2, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8460780 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clclllllllflcclclcc. Give prob of sequence lcl.\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e (base 15) to base 4.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 474 (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -22, -1, 3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*s - 2*l, 6*s - 3*l = 3*s - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2751102ng to milligrams.\nAnswer: 0.0000002751102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/9 - 4\/3*s - 4\/9*s**2 = 0. What is s?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76409 divided by 4\nAnswer: -76409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7351670745 + 33*m**3 + 7351670745.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 22 - (-3 - (-2 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -58, -123, -212?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -699979*l - 455997 wrt l.\nAnswer: -699979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g - 126 - 82 - 160 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18571.995379 + 18572. Round i to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 2*m**2 + 13*m - 11. Let g be a(-5). Let s(b) = 16*b + 21. Let h be s(g). Solve -h = t - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9806269 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - a0?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 - 8*a**3 - 8*a**3 + (4 - a - 4)*(-2*a**2 + a**2 + 0*a**2) + 35 + 35 + 243*a**3 - 70 as v + w*a**2 + z*a + d*a**3 and give d.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-3523 - 537 - 1355 + 2*s).\nAnswer: -2*s + 5415","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 97*g + 131*g + 617. Put -167, g, 1 in descending order.\nAnswer: 1, g, -167","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 + 359. Find the common denominator of (33\/(-90))\/((-7)\/b) and -53\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1104021443 - -1?\nAnswer: 1104021444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 371 + 107 = 0. What is the smallest common multiple of p and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*s**3 + 12*s**2 - 4*s**2 + 25*s**3 wrt s.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20573 and 12425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, 1 k, and 1 r when four letters picked without replacement from {r: 2, h: 4, k: 4, z: 1, s: 3, e: 3}.\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129145?\nAnswer: 5, 23, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-34 + -2 + 0 + 25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 x when four letters picked without replacement from oxxooooxxoxoxoooxoo.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, h: 2, r: 1, k: 1}. Give prob of picking 1 k and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*u + 5*h + 12, 4*u - 18 = 2*h. Solve 0 = k + 4*t - u*t - 2, 5*t = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -635100?\nAnswer: 635087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -2019. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + 25. Suppose -4*x + v = 75. Which is the second biggest value? (a) -1\/6 (b) -0.5 (c) 0 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.6. Let t = 0.57342 + -1.57342. Which is the third biggest value? (a) p (b) t (c) 5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvpiivvbvpdpvvb. What is prob of picking 1 v, 1 b, and 1 p?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (sqrt(300)\/sqrt(6) + sqrt(72))**2 + -1 + -3 + 3.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**2 - 51*r**2 + 16*r**2 + 16*r**2 - 11.\nAnswer: -3*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 5, b: 2, v: 2, q: 2, d: 5, u: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/135*-3 - 40\/(-18). Suppose -l*b - 1 = -3*x, -3*b + x + 25 = 9. Solve -5*v + 7 = 2*g - b, -5 = -g - 2*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5689566211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + ((-660)\/(-9) - (-2)\/3). Solve -31*a = -318 + w for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77)*1 + sqrt(77) - sqrt(77)))\/sqrt(11) + -3.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/54 - 4*l**3\/27 + l**2\/3 - 3*l. Solve k(v) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + c + 2. Suppose 5*m + 13 = -42. Let z be (2 - (-12)\/(-9))*12. Let g = m + z. Calculate f(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13512, -27036, -40562, -54090, -67620?\nAnswer: -81152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7215*s + 43326. Determine w(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4894237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j + 1. What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = z + 12, 7*z = 5*f + 4*z - 6. Suppose 0*t - 3*t = 3. Does 3 divide -2*(t - (f + -1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220778041\/390 + -566099. Let v be 668\/312 + 2\/(-4). Let w = v - h. Find the common denominator of w and -87\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -1\/6*a**4 - 2\/3*a**3 - a**2 - 2\/3*a + 6. Factor q(n).\nAnswer: -2*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35804, 70775, 105764, 140777, 175820, 210899, 246020?\nAnswer: 281189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10982*p + 816 + 693 - 2145 + 1291 wrt p.\nAnswer: -10982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 76 = -5*g, -5*g + 15 = -2*y + 83. Let h be 8683\/380 - -1*3\/g. Is h at most as big as 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, m: 1, g: 2, j: 1, c: 2}. Give prob of sequence clc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 77*a**5\/120 - 43*a**4\/12 + 20*a**3 + 106. Let s(m) be the third derivative of z(m). Differentiate s(n) wrt n.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 234*v - 91560.\nAnswer: 3*(v - 218)*(v + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (560\/(-700))\/((-2814)\/(-700) - (-1 + 5))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.55 or -0.431?\nAnswer: -0.431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 2*t - 11. Let o(a) = -a**2 - 14*a - 19. Let v be o(-13). Let w be y(v). Let d = -2 + w. Calculate the remainder when 31 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1096\/5 + -658\/3. Let c = -12 + 15. Let u = 4.01 - 0.01. Put 3\/8, u, x, c in descending order.\nAnswer: u, c, 3\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-2 - -3) + 9 + -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*r + 6*x + 10036, -x = -4*r + 13390. Let h = r - 1501. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -3\/5, -2, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 8*r - 2. Let w be o(-8). Let h = w - -101. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + d + 69, 2*b - 5*d = 4*b + 21. Let i be (9*(-3)\/b)\/((-2)\/(-8)). Solve i*g - g = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 102 + -1 + 2*-1. Let w = -47 + 89. Suppose -8*q - w = -2*b - 4*q, -b = 2*q - 1. What is the greatest common factor of o and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034682 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4140002 = -2*g, 0 = -2*u - 3*g - 970702 - 685295. What is u rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23391842 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 11042130?\nAnswer: 22084260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -5\/12610843 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 5*j + 6*j)*(45*j**2 - 25*j**2 - 14*j + 3*j**2) to the form t*j**3 + z*j**2 + g*j + q and give t.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3351, 3662, 3973, 4290, 4619?\nAnswer: 4966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1058 and 58127992.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 146628746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 29768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from xnxunnxnnxxnxjnn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejl when four letters picked without replacement from jjjkdkeedejejlkjlpjj.\nAnswer: 56\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/15)*q))\/(q\/q**(2\/23)))**43\/((q*q**(2\/5))**(-3\/8)*(q**8*q)\/q*q**0) assuming q is positive.\nAnswer: q**(-113167\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5254030 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 582058232 to the power of 1\/2, to the nearest integer?\nAnswer: 24126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k**2 - 7*k + 22. Let c(l) = -5*l**2 - 3*l + 11. What is -7*c(r) + 3*w(r)?\nAnswer: 2*r**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*l - 6854 = 3464. Calculate the remainder when 1072 is divided by l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 0 (c) -51 (d) -6 (e) 4 (f) 5\/2 (g) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191843504.\nAnswer: 2, 3, 2758897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-22)\/(-77))\/(1\/917)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27 at most as big as -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -497 - -491. Let m(v) = -5090*v - 14. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/25 + (-57)\/(-5). Let k(t) = -11*t - w*t + 6*t - 16 - 10*t**3. Let f(r) = -2*r**3 - 3*r - 3. What is -16*f(y) + 3*k(y)?\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 10. Let q be k(7). Let a = -1\/3844 + -1921\/3844. Is q smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 0.7 (c) -2\/5 (d) -1.6 (e) 0.2 (f) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - 3*n**2 + 908*n**3 + 13 + 1145*n**3 - 2041*n**3 to w + r*n**3 + c*n + s*n**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/r**17)*r\/(r*r**20)*(r*r\/r**(-12\/7))\/r*r\/((r\/r**(-27))\/r) assuming r is positive.\nAnswer: r**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 71760.5 minutes?\nAnswer: 4305630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -238, -6 in increasing order.\nAnswer: -238, -14, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152404\/111 + -1373. Is 0 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -15*g - 1063. Let p be r(-74). Which is greater: p or 25?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187697 and 19703?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.29 and -49534317.807?\nAnswer: 49534318.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 642113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 101010111110001?\nAnswer: 101010111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdkq when four letters picked without replacement from qdqannpdddkddkd.\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1800 - -3760. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.723 * -0.6.\nAnswer: -0.4338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4 + 45*x - x**3 - 5*x**2 - 33*x - 7*x**2. List the prime factors of o(-13).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))\/(s**10\/s*s))\/(((s**(-4\/7)\/s)\/s)\/(s\/(s\/(s\/((s*s**(5\/4)*s)\/s*s)*s)))) assuming s is positive.\nAnswer: s**(-187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, -18, -9, 0, 9?\n\"Answer: 9*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 10*k + 26. Calculate b(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320)*2)\/sqrt(8))\/(sqrt(648)*3) - (4 + 1*(0 + sqrt(80))))**2.\nAnswer: 848*sqrt(5)\/27 + 67844\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2 - 3. Suppose -y*p + 380 = -170. Calculate the remainder when p\/4*8\/10 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {y: 1, e: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27490\/440)\/(15\/6). Let r = 122\/5 - m. Find the common denominator of -71\/56 and r.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6707822?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 185460 = -40*y + 53740. Calculate the highest common divisor of 120 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 30 = -0*u - 5*u, u - 4 = j. Let g(p) = 98*p + 6 - 6 - 92*p. Let i be g(u). Calculate the highest common factor of 330 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gggggggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**3\/6 - 202*p**2\/3 - 88639*p\/6 - 44117\/3 = 0 for p.\nAnswer: -157, -1, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -509*y**3 + 4*y**2 + y + 4. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 - 3877*l - l**3 + 2 + 3879*l - 2*l**2 + 0 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11325 rounded to the nearest one hundred?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.191062 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14064501?\nAnswer: 3, 11, 426197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**3 - 3600*k**2 + 971700*k - 68651000 = 0.\nAnswer: 110, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 145.4 - 180917058\nAnswer: -180916912.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90366 (base 10) to base 11.\nAnswer: 61991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9*6)\/((504\/14)\/(-18))*-43.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.920994217 + -4.921. What is q rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1026 bigger than -1026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -146756 times 12?\nAnswer: -1761072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-16)\/(-1472))\/((-4)\/32))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*z**6 - 99*z**4 - z**3 - 42660*z**2?\nAnswer: -4560*z**3 - 2376*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 + l + 1. Let s be q(-1). Suppose -s*i + 2*y = y - 3139, -i - y + 629 = 0. Suppose 0 = 5*d - i - 17. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -30*q + 1048. Give s(42).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, t: 3, e: 3, k: 1}. Give prob of picking 1 k and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 13*l**2 + 7*l - 11. Let c(o) = -11*o**3 - o**2 + o. Let k be c(1). Let m(g) = -7*g**2 - 4*g + 6. What is k*m(z) - 6*s(z)?\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - (3 - (-5 + 4)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1203811 is divided by 1501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 4*z**2 - z**2)*((152 - 248 + 134)*(1 - 1 + 2*z) + 8*z - z - 3*z).\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 4*o - 8, 4*n + 20 - 18 = o. Solve -6*j + 8*j - 6 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*r + 658*r - 2706*r + 1342*r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-2)\/(-12))\/((-35)\/(-175))*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(4\/3)*o)\/o)\/(o\/(o*o\/(o*o**(1\/8)))))**(-32)\/(o**(2\/23)*o\/o**(-2\/5)*o*o\/o**(-1)*o**(-1)) assuming o is positive.\nAnswer: o**(-25583\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -29.2, 0.5.\nAnswer: -29.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/((390\/130)\/((-2)\/(-8))))\/((-2)\/3)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p**2 + 9*p - 33. Let x(n) = 5*n**2 + 2*n - 8. Give 2*v(j) - 9*x(j).\nAnswer: -3*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 87271 - 43901 = -95160. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (1 + (-2)\/(-22))\/((-624)\/3432)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -827*k**5 - 264*k**2 wrt k.\nAnswer: -49620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29217, 29239, 29269, 29307, 29353?\n\"Answer: 4*l**2 + 10*l + 29203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 13. Which is smaller: -22 or k?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(15\/8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 580*s**2 - 578*s**2 + 200*s.\nAnswer: 2*s**2 + 189*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 7*k**2 - k + 175. Determine h(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13717587 from 381742.\nAnswer: -13335845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2 - -2)\/(-3). Let z(w) = -w**3 + 19*w**2 + w - 14. Let l be z(19). Suppose 12 = -l*v + 7. What is the second biggest value in v, u, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 15) + (-2 - (1 - -4 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162781 is divided by 3982.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54625?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*198\/(-360)*15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 991, 1978, 2959, 3934, 4903?\n\"Answer: -3*d**2 + 996*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182314 divided by 2.\nAnswer: 91157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 645, 641, 637, 633?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -180500 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m + 30. Let n(v) = -7*v + 61. What is -13*k(j) + 6*n(j)?\nAnswer: -3*j - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -464, -1050, -1870, -2924?\nAnswer: -4212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*-1)\/((-8)\/12). Let i be 1*((-297)\/36*8\/(-6) - 9). Solve 0 = 4*l + i*u + 3*u + y, -u - 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*b**4 - 11223*b**3 + 4*b - 4257405?\nAnswer: 52*b**3 - 33669*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (34 + 2)\/(21\/(7875\/10)). Suppose -6*x + z = 4*h - 8*x, 1012 = 3*h - x. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -5)\/((-3)\/(-3)). Let u = -8 + h. List the prime factors of ((-9)\/6 + u)*-14.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18*d - 302. Give s(27).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/9765744 and 3\/88.\nAnswer: 107423184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*d + 52 = 41, -5*d + 37 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 - 846*p - 1129. Calculate n(142).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3348 = -21*j. Let i = j - 111. Calculate the greatest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b2 - -35c3?\nAnswer: 37a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c - 29*c = -2*x - 2, -4*x = -2*c - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.29 + 4.19. What is the nearest to p in 0.5, 0, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 13*z - 3. Let b be u(7). Suppose j + 2*j - b = 0. Suppose 2*r - 152 = -2*r. What is the remainder when r is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/2))**(-1\/5))**(-1\/2))**(7\/2) assuming i is positive.\nAnswer: i**(21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -16 + 55 - (9 - -1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 286*v - 13552. Calculate r(58).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from jgjgyyjjynywjwjg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/6 + 3*w**5 + 65*w**4\/12 - 76*w. Factor d(v).\nAnswer: -5*v**2*(v - 13)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o + 2. Let a(r) = -851*r**2 - 42*r. What is a(y(c))?\nAnswer: -217856*c**2 + 55136*c - 3488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (8 - (14 + -22))) + (-14 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 24 + -16 + (1 - 6 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**3 - 9*p**2 + 192*p - 242. Determine z(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3207 * 93.\nAnswer: 298251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/(-16) - (-3)\/(-1). Suppose -5*g - 2*y = 9, g - 3*g - 3*y = -3. Which is the smallest value? (a) m (b) 2\/25 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183 + 920*i - 85 - 244 - 399 - 633 wrt i.\nAnswer: 920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1324 divided by 19\nAnswer: 1324\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 + 101 = -15*p. Suppose -9*w - 2*r + 68 = -8*w, 4*r - 284 = -4*w. What is the remainder when w is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 22 = -3*a. Let w(l) = l**3 - l**2 - 2. Let q be w(2). Does 2 divide (a + q)*(-1)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1320, 20, 3, 8, 17 in decreasing order.\nAnswer: 1320, 20, 17, 8, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 670 + -616. Let c be a*(66\/220 + 2\/10). What is the highest common divisor of 99 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f**2 - 11 + 3 - 10*f**2 - 4*f + 0*f**2. Let j be d(-2). Let x = -1 + 9. Calculate the highest common factor of j and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + w + 3. Let t be b(-4). Let s = 25 - t. Suppose -4*z = 2*v - s, -z = 3*v - 3*z - 23. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*l - 0*l + 41, -37 = l + 3*n. Let m = -53 - l. Let s = 89 + m. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2897996?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**5\/4 - 7*v**4\/12 - 3*v**2. What is the second derivative of q(h) wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3895 + 6826. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183151?\nAnswer: 183151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 e when four letters picked without replacement from ceeyyeecy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) -349\/2 (c) 0.3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*x - 65*x + 4*n + 9, -4*x + 3*n = 17. Suppose -i - 11 + 4 = 0. Are i and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vvhhvvvhvvvvhhvvvvv.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61069 is divided by 423?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(11\/15)\/(55\/(-275)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -200?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**4 + 6*a*l**2 + 41*l**2 wrt a?\nAnswer: -16*a**3 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2ea95 (base 16) to base 9\nAnswer: 321151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1046 and 2128.\nAnswer: -2225888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 38*c**2\/3 + 44*c\/3 + 16.\nAnswer: 2*(c - 4)*(c - 3)*(3*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**3 + 67*f**2 + 25*f + 3. Let y be m(-8). Let g(x) be the third derivative of -x**4\/24 - 9*x**2. Calculate g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/33 + (-71)\/11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 183 = -209. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36794719393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*u - 117 - 223 = 95 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -13*q**3 - q**2 + 4*q + 1. What is the tens digit of k(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16792 is divided by 410?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 21 = 135. Factor -2792*l + 40*l**2 - f*l**3 + 2717*l + l**3.\nAnswer: -5*l*(l - 5)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 28.7. Let m = -5 - k. What is the nearest to -1\/3 in m, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*30*(-5)\/90?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:57 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d**2 - 4*d + 5. What is q(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8 - 0. Let c = h - -15. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/6 + 88790089*r**2\/6 + 177580172*r\/3 + 59193390 = 0.\nAnswer: -88790085, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 38 = -10*f. Put 507, 1, f, 0 in increasing order.\nAnswer: 0, 1, f, 507","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:19 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 13*p**2 - 3*p**2 + p**2 - 6*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12827 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.54 + 3.04. Which is the closest to -0.2? (a) p (b) 1\/3 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**7\/147 - 2*p**5\/35 + p**4\/21 + p**3\/7 - 2*p**2\/7 + 9*p. Solve t(q) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 7. Let w(c) = c + 2. Let u = 70 + -44. Let o = 29 - u. Suppose -4 = -o*l + l. Calculate l*f(v) + 7*w(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 2*w**3 - w)*(-31 + 2 - 97) - 7*w + 3*w**3 + 7*w + (-w**3 + 0*w**3 + 2*w**3)*(-3 + 1 + 0))*(2*w - 2*w + w).\nAnswer: -251*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331650 (base 10) in base 9?\nAnswer: -2448611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**4\/12 - 265*b**2. Let o(h) = -72*h**2. Determine q(o(m)).\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 - 4 = 0. Suppose -2 = 4*z + 6. Let v = z + 3. Is v less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -17*w**2 + 3*w - 1. Let k be v(-5). Let p = -44 - k. Suppose -4*q = p + 363. Round q to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-28 - -29)) + 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (-1 - 1) + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19002 at least -21\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**4 + 11 - 11 + (-3*c**2 + 3*c**2 + c**2)*(0 + 0 - 5*c**2)*(-1 + 0 + 3) as a + y*c**3 + s*c + f*c**2 + i*c**4 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -22*i**2 - 130*i + 14. Let r be c(-6). Solve -4*s - 16 = r*x, -5*x - s - 66 + 71 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126753 and 495?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -525, 1\/3, 53, 2.\nAnswer: -525, 1\/3, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 17638*t + 88132. What is o(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 5*m**2 + m - 2. Let s = -4 - -9. Let p be l(s). Suppose p*j - 57 = -0*j. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -7*k - 6. Let q be (-1)\/(-5) + 216\/20. What is the derivative of -q + 11*o + o + k*o wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 + -105c?\nAnswer: -dca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 + -4. Let j = -9\/8438 + 4248551\/16876. Let s = -253 + j. Put s, 4\/3, f in descending order.\nAnswer: 4\/3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3069 and 1341?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30079 + -30002. Let x(c) = -61*c**3 - 6*c**2 + 6*c. Let h(n) = -792*n**3 - 77*n**2 + 77*n. Calculate r*x(v) - 6*h(v).\nAnswer: 55*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (571*x**2 - 379*x**2 + x**3 - 344*x**2)*(3*x - 2*x + x) + 2*x**4 - 4*x**4 + 3*x**4 in the form y*x**2 + n*x + k + c*x**4 + d*x**3 and give d.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/k*k)**37*(k**(2\/3)*k*k)**(-1\/10) assuming k is positive.\nAnswer: k**(2771\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.82 - -1.8. Let g = -0.08 + m. Let j = -1.9 + g. Which is the third smallest value? (a) -0.4 (b) -8 (c) j (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050 = 10*u - 1060 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 2*u**2 - 7*u - 10. Let h be t(-6). Suppose -48 + h = 8*z. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -89*j**3 + 2*j**2 - 2*j + 1. Let t be x(1). Let k = t - -142. 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: What comes next: 177172, 354490, 531798, 709090, 886360, 1063602, 1240810?\nAnswer: 1417978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -96118 + -3?\nAnswer: -96121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 13*b**2 - 2. Let a(y) = 7*y**2 - 1. Let h(q) = 5*a(q) - 2*k(q). Let d(s) = -195*s + 95*s + 98*s. Give h(d(r)).\nAnswer: 36*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 6*b**2 - 17*b - 12. Let y be d(-8). What are the prime factors of y\/14 - (-1141)\/49?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*t + 381, 5*m + t = 389 + 111. Let l = -18 - -43. Calculate the remainder when m is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 1 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*u + u + 10, 5*u - 5*m = 30 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 55, -2, 8, 5, -3 in decreasing order.\nAnswer: 55, 13, 8, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(10\/(-3)))\/((-3)\/(-3))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2169, 2084, 1857, 1488, 977, 324, -471?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**3 - 123*r**2 - 89485*r + 32478394 with respect to r.\nAnswer: -6*r**2 - 246*r - 89485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5154.62 - 5151. What is the third smallest value in f, -5, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 1, 6.06 in decreasing order.\nAnswer: 6.06, 1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -440\/7?\nAnswer: -440\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/19, 502, -0.11, -2, 0.3 in descending order.\nAnswer: 502, 0.3, -0.11, -3\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20152 + 20154 - 4*l**2 - 3*l**2)*(3*l + 8*l + 2*l).\nAnswer: -91*l**3 + 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-44))\/(9\/36).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59167 - -411969\/7. Let p = v + 318. Let y = -92\/21 + p. Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/(2\/(-108)). Suppose 12 - u = -4*f. Let s = 308\/1231 - 1\/4924. Which is greater: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2133 - 2142. Put w, -3, -156 in descending order.\nAnswer: -3, w, -156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2429 divide 253096439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 211467157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3634)\/161)\/(3\/(-21)*(-18)\/(-9))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 4*o**3 + 278 - 98 - 86.\nAnswer: -4*o**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*q**3 + 118*q**3 + 281*q**3.\nAnswer: 560*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 19\/2. Let f = -12 - -8. What is the closest to 0 in f, h, -4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00004*0.6.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/285)\/((-661)\/(-29745)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**2 - 4*t**2 - 19*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**2 - 15*h**2 - 8*h**2 + 12*h**2 + 32*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.30789g in milligrams?\nAnswer: 5307.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7989, -8002, -8001, -7980, -7933, -7854?\nAnswer: -7737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6246\/(-4164)*(-16)\/(-1044)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-117)\/(-104) + (-1)\/8. Let s = -12 - -24. Let y be ((66\/s)\/11)\/((-58)\/4). Which is bigger: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116847401 and 1023.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6740, -6663, -6586, -6509, -6432?\nAnswer: -6355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -2287.9.\nAnswer: -27454.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -635*h**2. Let w(m) be the first derivative of m**2\/2 + 254. Calculate w(f(o)).\nAnswer: -635*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050699 is divided by 187.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169543375 and -3.\nAnswer: 508630125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 3341?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 21. Sort 1.2, h, 0 in descending order.\nAnswer: 1.2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121819284 divided by -267?\nAnswer: -456252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246*m**3 + 204*m**2 + 171*m**3 + m - m + 86*m**2 wrt m.\nAnswer: 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*f + 47*f + 4877224 = 146*f. What are the prime factors of f?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 58 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121 - -124. Suppose 4*r = 19 - 7, -2*g - s*r + 13 = 0. Solve -4*v + g*v + 10 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 8 + 10 = -5*v, 4*v = -p - 15. Are -1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 2*f = -11*n + 14, 2*f - 7 = -n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5\/7 - 276*w**4\/7 + 3956*w**3\/7 + 1556*w**2\/7 - 159480*w\/7 - 22400 = 0 for w.\nAnswer: -5, -1, 10, 16, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.403*-0.02.\nAnswer: -0.00806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(-6)\/(-60) + (-242)\/(-4). Let z = c + -41. Solve -11*v + 6*v = -z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(2*s**2 - 2*s - 2*s**2 + s**2).\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-23)\/230)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70403 is divided by 726?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 37 + -37 + 0 + 0. Let x be (-42)\/90*-5 - (l + 2). Determine w so that x - 1\/6*w**2 + 1\/6*w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-2)\/(-18)*(-30)\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -29053, 8\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 158, 165, 174, 185?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223.6 - -243. Let q = c + 7.16. Let x = 27 - q. What is x rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11657 + -11653. Solve 0*i + 14 = -i - k*s, 5*i + 2 = -3*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -10588169.\nAnswer: -6352901.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/7, -54\/11?\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*(-65)\/15)\/(-1). Suppose -10*j + 7 = -s. Solve -2*v + 4 = 0, -j*i - 3*v + 1 + 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2543989\/6 + -422503. Let m = z + -304873\/204. What is the common denominator of -85\/8 and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -537, -1064, -1589, -2112, -2633, -3152, -3669?\nAnswer: -4184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/(-24)*(-12)\/5. Suppose 61*n - 53*n + k = 0. Which is smaller: -81 or n?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983765 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2752894056 to the power of 1\/2, to the nearest integer?\nAnswer: 52468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = 4*i - 3*d, -5*d = 4*i + 8. What is the nearest to -2 in -0.5, 0.3, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 0.01696. What is m rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 38070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*y + 25 = 0, 2*z - 2*y + 10 = -0*z. Let f(b) = 3*b + 66. Let t be f(z). Is t equal to 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2965 = -588*h + 5855 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*1)\/(-3*(-6)\/726*11).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 e when three letters picked without replacement from {f: 3, e: 2, m: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64*m - 4*m + 17*m + 0*m - m + 2*m + (-m + 3*m + 0*m)*(-2 - 1 + 2).\nAnswer: -52*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufhfpupbwfhf. What is prob of picking 2 u?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from iiiiqq?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 33966\/81 + (-6)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k, 5*k - 41 = 6*u - 7*u. Suppose -2*h - 2*h = 96. Let p = u + h. Solve 0*t + t = -p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -552917 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 18\/(10*(-51)\/1360)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314186485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14 - 43*p + 43 + 34 - 95. What is m(2)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 130110?\nAnswer: 130023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, -16, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**0\/l**(-1)*((l\/l**(-2\/9))\/l)\/l**9 assuming l is positive.\nAnswer: l**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.04 + -8. What is the third biggest value in b, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 417, 744, 1071, 1398, 1725?\n\"Answer: 327*b + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + sqrt(539)*3*-3 + 1 + sqrt(539) + 1 + ((-2*sqrt(1331)*6 - sqrt(1331)) + (2*sqrt(11)*-2 - sqrt(11)) + sqrt(99)*2)**2.\nAnswer: -49*sqrt(11) + 221806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 3, b: 10, u: 2, a: 2, l: 1}. Give prob of picking 1 f and 1 u.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -2817.06?\nAnswer: -2817.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -5*x**2 + 0 + 0*x**3 - 10*x + 7\/20*x**5 - 1\/8*x**4 - 1\/210*x**7 + 3\/40*x**6. Find the third derivative of n(h) wrt h.\nAnswer: -24*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w + 6*w - 68880. Suppose 4*f = -4*u + w, 0*u - 3465 = -3*u + 4*f. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118147\/5017362 - 11\/469. Let u = w - -116783\/37443. Find the common denominator of u and -11\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/60 - r**4\/8 - r**3\/2 - 3*r**2. Determine q(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23.3 and -6.\nAnswer: 139.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -139. Is (-1511)\/(-3 + 3 + u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 148*g**3 + 2*g**2 - 4*g + 1. Let p be ((-14)\/(-21))\/(0 - 6\/(-9)). What is the units digit of m(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12227 - 3656?\nAnswer: 7461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 6*m - 193. Is m at least as big as 27\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57693?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 15*c + 8*c - 21*c)*(-4 - c + 4) to the form j*c + x*c**2 + a and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 1903344?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 - s + 1. Let b(q) = -5*q**3 - 2*q**2 - 11*q - 3. Let a = 30 + -26. Let t(n) = a*p(n) - b(n). Calculate t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 612?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 1)*(t**2 - t**2 + t**3)*(-2*t**2 - t**2 + t**2).\nAnswer: -14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 184*l**2 + 5*l + 8. Let h be p(-4). Let c = h + -1943. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14033, 30239, 48615, 69161, 91877, 116763?\n\"Answer: 1085*l**2 + 12951*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/18 - 17\/(-3). Suppose -u*p + 38 = -157. Suppose r - 12 = -c, 34 + 20 = 3*c - 3*r. Calculate the remainder when p is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:46 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 1. Let k(c) = 8*c + 4. Let i(z) = 2*h(z) + k(z). Differentiate i(a) with respect to a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 - (-3 + 27)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/6*1*3. What is the second derivative of -u*n**4 + 23*n - 22*n - 5*n**4 wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -5 - (26 + -1). Let c = 12 + l. Let s be 1 - c\/(4 + -2). Solve -4*h + 13 = -s*h - y, 0 = -3*h + 5*y + 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, 9363, -5\/2, 3?\nAnswer: 9363","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -w - w - 23*c, 2*w = 30*c - 27*c - 19 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083976 is divided by 962.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - -4.04. What is the second smallest value in 2, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 3. Let j = 122 + -95. Let r = 32 - j. Which is the nearest to -2\/3? (a) f (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.028 in -14\/19, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((351 - -17)\/23).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 88.6 (c) -5 (d) -3 (e) 193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.059 times -0.4?\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2968 or 2982?\nAnswer: 2982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(7\/2) + 4. Suppose 0 = k - o*k. Calculate the least common multiple of 3 and (-12 - k)\/(3*(-2)\/39).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -25\/18, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1857*-260.5.\nAnswer: -48.37485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32410 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*k + 223 + 173 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/982536023 or -1?\nAnswer: -4\/982536023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + -13 + 36 - -56.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91219 is divided by 377.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.72 + 42.38. Let c = w - 44. What is the closest to c in -17, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 526 - 431. Let n = -94.263 + d. What is n rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186.3820282 + 2.6181338. Let t = -152 + -37. Let a = t + i. Round a to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 + 0.7. Let h = 0.7 + 0.3. Let f = 6450 - 6450. Which is the closest to h? (a) f (b) -4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -11. What is the units digit of (u\/4 - 0)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -367, -737, -1113, -1495?\n\"Answer: -3*n**2 - 361*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 795\/530*20\/(-33)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) -2 (c) 2\/3 (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308\/8*(-1 - 3)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) -2.2 (c) -1\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -703 + 1003. Let a = -296 + i. Let s = -95 + 62. Put a, 0.2, s in ascending order.\nAnswer: s, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2\/11 + 30*h\/11 + 72\/11 = 0.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*p*q**3 + 11*p*q**2 + 7975*p*q - p + 1863*q**2 - 227*q wrt q?\nAnswer: -36*p*q + 22*p + 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**2*y**3*z**3 - b**2*y**3*z**2 + 13*b**2*y**3*z - 3*b**2*z - 2*b*y*z**2 + 158*y**3*z**3 wrt z?\nAnswer: -18*b**2*y**3 + 948*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 523215059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 12 - -26) + -4 - 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {e: 1, t: 1, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 37 = -4*r, -m - 4*r + 10 = -7. Find the second derivative of 0*f + 0*f**m + 4*f**5 - 4*f wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ususzzuszg. Give prob of sequence zusu.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*r = 40*r + 16, 0 = h + 5*r - 28. Which is the fourth biggest value? (a) h (b) -1 (c) 0.08 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -8*c + 114, c + 0*l - 104 + 88 = -l for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6792519 is divided by 348?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + 8*c - 8*c)*(-3 + 2*c**2 + 3) - c**5 + 5*c**5 - 3*c**5.\nAnswer: 9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*k**4 + 534*k**3 - 64257*k**2 wrt k.\nAnswer: 2136*k + 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9, 1943, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (6 - 13))*4\/90\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185377091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/340 and 9\/10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 85*i**2\/2 + 516*i - 3984. What is w(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23375 divided by 414.\nAnswer: -23375\/414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551169 divided by 39?\nAnswer: 1551169\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -65. Let f = d + 157. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*k - 4)*(3*k + 0 + 0)*(-2 + 1 + 3).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 1. Let j be b(1). Suppose -j = 5*f + 2*w + 12, -4*f - w = 14. Let z be 2\/4 + (-34)\/f. Calculate the greatest common divisor of 27 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202 - 189.9. What is m rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 29 = -1852*g + 1851*g, -4*p + 22 = -3*g - 0*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194685015 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*q + 3. Let s be 0\/(0 - q) + 2. Let a be 1\/(s + 6\/(-4)). Solve 11 = f + 4*n + n, -3*f = -a*n + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -32\/15*p**3 + 20 - 4\/5*p**4 - 2\/25*p**5 + 0*p + 0*p**2. Factor u(i).\nAnswer: -2*i**2*(i + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5843 = -36*c - 211*c - 95*c - 29725 for c.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*p - 195, -p = 2*z - 4*p + 128. Let y = -6630 - -6565. Is z greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 380362 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, 2, 1, -11 in increasing order.\nAnswer: -11, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 648?\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -4*g + 8, 3*i = -3*g - 2*i + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (8 + (17 - 12 - -5)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.06682 millilitres to litres.\nAnswer: 0.00906682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -502292.72 to the nearest ten thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s - 126 + 267 - 125. Let l be d(-11). Let w = l + 89. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -584*a + 64. Let c be u(-14). Round c to the nearest 100.\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088 a factor of 6664392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + n - 3*n)*(n**2 - n**2 - n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 86447443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/19, -5, -7035, -0.3, -3 in decreasing order.\nAnswer: -3\/19, -0.3, -3, -5, -7035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-28)*(-1)\/34. Let d = p + 111\/476. Which is bigger: d or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 109, 0.2, 0.3, -1\/4?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-27 - -7) - (-2 - (-17 + -1)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16728 divided by 16728.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -2\/71 (c) 18 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 521673069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5304531 (base 8) in base 7?\nAnswer: 14665630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2344 + 2341. Let c(i) = i**3 - 9*i**2 - 5*i - 5. Let t(d) = -d**3 + 5*d**2 + 3*d + 3. Calculate z*c(p) - 5*t(p).\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - w - 3. Let k be i(4). Suppose 3*l + 16 = v, -4*l = v - k*l - 24. Suppose 3*y = 3*b, -3*b - 2*y = 3*y - 24. Solve n - v = b*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762.9 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*f + 35. Let u be 38\/14 + -7 + 0 + f. Which is smaller: -2\/31 or u?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0594 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.54238 - 196.56438. Let s = w + 196. Which is greater: -0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.297, 0, 1825?\nAnswer: 1825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -708*o + 346*o + 362*o - 12*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-1 - -3) + -10. Let k be (-4 + o)*(-2)\/(-4). What is the remainder when 86 is divided by k + -3 + (-132)\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24030*z = -23971*z - 708 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhkkkueehxhhkuke. Give prob of picking 1 e and 1 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -34998 and -34996 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvvi. What is prob of sequence vi?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -5\/14 (c) -0.7 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - -1.5. Suppose -4*o - o + z = 566, -464 = 4*o + 2*z. Let m be o\/24 + (-2)\/8. Which is the third smallest value? (a) -3 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 205973874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -2 (c) 274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**4\/4 - 5*w**3\/3 - w**2\/2 + 3*w + 11. Let o be u(-4). Let t(z) = z**3 + 9*z**2 - 7*z + 4. Is t(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*k = 200*k + 216. What is the fourth biggest value in k, 1, -1\/4, -5\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 760 - 758. Which is bigger: g or 42\/67?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3758.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1370 = 2*n, 4*n - 5666 - 1268 = -5*d. Calculate the remainder when d is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17)*2*-6 + -4 + (2*sqrt(459))\/(2*sqrt(6)\/sqrt(2)).\nAnswer: -9*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374072.8 hours in days?\nAnswer: 98919.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -20*d - 27. Let w be x(-7). What is w rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) - ((-460)\/30 - -4). Let h be (112\/12)\/(l\/18). Calculate the highest common factor of 42 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4650 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 54392 = -k, 2*k - 44903 = c + 63856. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 - -236. Let h(k) = -k**3 + 6*k**2 - 4*k - 1. Let w be h(5). Factor -9*f**3 + a*f**2 + 9*f + 2*f**w + 5*f**4 + 0*f**4 - 6 - 4*f**4.\nAnswer: 3*(f - 2)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 4*n**3\/3 - 4*n - 21. Differentiate f(z) with respect to z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - o**3 - 5*o**3)*(0*o + 0*o - 3*o)*(-o + 2*o + 0*o).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 582, -3 in increasing order.\nAnswer: -4, -3, 2, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 1. Let s = -5 - -9. Let c be q(s). Which is greater: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 - 14 - -2*1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/5679 - 584813\/352098. Find the common denominator of t and 65\/248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48128987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 - -288. Let h = 79.42 - 78. Let v = 0.42 - h. What is the closest to 1 in v, k, 11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22 - (-462)\/(-121)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148607422.\nAnswer: 2, 397, 187163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 132, 200?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -4364.23486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1. Let t(s) = -s**2 - 3*s - 6. Let k(w) = t(w) - 4*x(w). Let n(o) = -3*o + 8. Let f be n(-6). Let h be 2\/(-4) + (-117)\/f. Calculate k(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 279432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79\/93 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 78 and 0.746?\nAnswer: 77.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**2 + 14*l + 12. Does 7 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, -68, -179, -382, -707?\n\"Answer: -5*b**3 - b**2 - 11*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241 - -2021400?\nAnswer: 2021104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let z(f) = -417*f**2. What is z(o(j))?\nAnswer: -1668*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 18*g - 13. Give p(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10012001100 (base 3) in base 13?\nAnswer: -22725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 6*v**2 + 7*v + 2. Let k(w) = w - 14. Let s be k(7). What is the units digit of h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2 + 410*w - 415 = 0. What is w?\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 6) in base 12?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307637.\nAnswer: 3, 19, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 22 = -i - 10, -18 = -2*a - 4*i. Let c = 4 + -3. Let v be (-3 - c)*2\/(-4). Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 27*t - 4. Let l = 61 + -47. Let x be z(l). Solve 0 = 2*o - 2*d + x, -3*d = -0*d - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - z**2 + z**5 - 52*z**5 - 18*z**5 - 73*z**5 + (-2 - 3 + 3)*(0*z**4 + 0*z**4 + 2*z**5).\nAnswer: -146*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3*r - 11, -5*l + r + 0*r = -15. Suppose -119 = -3*n + 4*d - 0*d, 4*d - 46 = -l*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*h**2 + 8 - 8 + h to o + j*h + q*h**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {l: 5, a: 2, f: 2, h: 2, e: 1, i: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - 1581?\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54938442953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let y = 329 - 323. Let t be 5\/15 + (-2 - (-10)\/y). Solve t*o - 2*o - 8 = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from gddgdd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 597085919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(152\/(-684)*(-9)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3703246 is divided by 24854.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*a + 318, -13*i + 11*i = 6. What is the greatest common divisor of 34 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 102. Let k = 126 - t. What are the prime factors of k?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-32)\/14)\/((-34)\/119). Let f = 1\/19 + 27\/209. Which is the closest to 2? (a) -5 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:36 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-66) + (-4290)\/(-1089). Which is smaller: 134\/39 or n?\nAnswer: 134\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -77594*u + 7604201. What is i(98)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15896\/(-1987)*7\/4116.\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 849 - 27.\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 23 = 6*o + 86 + 49 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 11*j - 19*j + 38*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 5*f + 21 - 239*f**3 + 89 + 5*f.\nAnswer: -239*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*(9 + -23). Suppose 0 = 5*v + 36 - 6. Let q be v\/x - (-58)\/7. Solve 0*h - q = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1895423 is divided by 627.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.268669183 to 5 decimal places.\nAnswer: -0.26867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*q*v + 23*q + 2*v - 1 wrt v?\nAnswer: 10*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2282685 is divided by 570653.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (16 + -18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.83 (b) -2\/9 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 13*i - 34*i**4 - 13*i + 2*i**2 - 3*i**3 + 32*i**4 to x*i**2 + c*i + z + n*i**3 + t*i**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s**2 - 36*s + 3. Let d(b) = 6*b**2 - 37*b + 2. Give -3*d(v) + 2*z(v).\nAnswer: -4*v**2 + 39*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/(2\/(-2)*(-14)\/(-21))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19. Let b be -3 - (-12)\/2 - 7. Let p = -174 - -174. Put p, g, b, 6 in increasing order.\nAnswer: b, p, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000727348 rounded to 6 dps?\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 4*q + 6, -5*q = -5*l + 2*l - 2. Suppose 0 = -3*a - l + 10. Let j be (-5)\/((-5)\/a) - -2. Solve j = 4*y - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q. Suppose k + 6 = 4*j + 4*k, 2*k + 4 = 0. Solve -j*d - 4 = 4*s, -d + s - 5*s + 4 = q for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009189961 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 - s**3\/3 + 5*s**2\/2 + 4*s - 5. Let a be m(-3). Let w be (1 - a)\/(6\/(-16)). Solve -6*h = -2*h + w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83a180 (base 13) to base 12.\nAnswer: 10454a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -0.1 (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3\/2, -1, -82\/7, -0.0568, -0.4?\nAnswer: -0.0568","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21 + w**2 - 9*w + 16 + 20 - 63 + 15. Determine c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, d: 11}. Give prob of sequence ddgd.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 3) + 0 + 0 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.068 + -0.07187. What is c rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2476 and 44008.506316.\nAnswer: 41532.506316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/341, -4 in descending order.\nAnswer: 1, -2\/341, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265572 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 973307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 7*a + 36. Calculate d(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 6*c - 4. Suppose 1 = h + t - 2, 3*h + 5*t - 17 = 0. Let z be d(h). Solve 2*u + 8 = -k, 0*k = 4*u + z*k + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529901?\nAnswer: 11, 349, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 112 = -139. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(5\/4)*l\/l**(-13\/3)*(l**3*l)**(-34\/5) assuming l is positive.\nAnswer: l**(-1237\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - u + u + (-u**2 + 0*u**2 + 3*u**2)*(0 + 8 - 5) - 2 + 40*u**2 - 33*u**2 - 8*u + 11*u to the form w + i*u + g*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1560 = 11*m - 7*m, -3*m - 5*q + 1160 = 0. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -a + 14. Suppose 3*k - 24 = -a*k. Suppose -q - i + 2*i = -10, i - 25 = -k*q. Solve 3*v - q*r + 4*r + 15 = 0, 5*v = 4*r - 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/693 and 91\/36.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9*-9 + 0 + 2. Let p be (s - (0 + -3)) + 5. Let h(a) = -a**2 + 20*a - 6 - 9*a - 7*a. Calculate h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7655684654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6735869 is divided by 215.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51935 at most 51939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 4, 85, 2, -3, -6 in ascending order.\nAnswer: -6, -3, 0, 1, 2, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195.8774 + -195.9973999. Let q = -0.12 - v. What is q rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10)*o**(2\/3))\/(o\/(o**4\/o))**(-20) assuming o is positive.\nAnswer: o**(-148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.832 plus 10713?\nAnswer: 10708.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.815 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/u**3))\/(u\/u**(-1\/3)*u) assuming u is positive.\nAnswer: u**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1\/3)\/(32\/(-96)). Suppose -f*u = -0*y - 2*y - 12, 0 = -5*u + y + 12. Find the third derivative of -29*k**u + 23*k**2 + 3*k**6 - 14*k**6 wrt k.\nAnswer: -1320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*q + 1295 + 5664 = -2263. Suppose -213 = -4*j - o, -2*o - 60 = 2*j - 3*j. Calculate the remainder when q is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m + 9 = 0. Solve -25 = m*c - 8*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/((-2)\/16*-15)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-234)\/(-540)*3\/26. Let k(i) be the first derivative of -2\/5*i**2 + 20 + u*i**4 - 1\/15*i**3 + 4\/5*i. Solve k(y) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e25a16 + 5?\nAnswer: -e25a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c - 48 = -1068. Is c smaller than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 960 and 366315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -9, 35, -3, 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 - 28\/3*v**3 - 19*v - 23\/12*v**4 + 0*v**2. What is the second derivative of i(t) wrt t?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440436)\/(-5576) + 53\/4346?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 18*d - 219. What is g(14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4121*d*y**2 + 16*d*y - 7681*d + 22*y**4 wrt y.\nAnswer: -8242*d + 264*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -152255, -152250, -152245, -152240, -152235, -152230?\n\"Answer: 5*h - 152260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121796.598 + -121808.5979929. Let z = 12 + u. What is z rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/((sqrt(100)\/sqrt(2))\/sqrt(10)) + -1 + (sqrt(7)*-1 + sqrt(7) - sqrt(7)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + y - 44, -3*x = -2*x + 5*y - 40. What is the remainder when 35 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 20*y**3 - 932*y**2 + 4944*y - 7260. Let b(w) = 8*w**3 - 373*w**2 + 1977*w - 2905. Let h(p) = 12*b(p) - 5*n(p). Factor h(u).\nAnswer: -4*(u - 40)*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -102 + 5c56?\nAnswer: 5b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3783760231?\nAnswer: 3783760231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 98 = 2*k - 3088, -2*k = -6. What is the smallest common multiple of w and 159?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, -2, -5, -0.2.\nAnswer: -5, -2, -0.3, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 228*q - 149. What are the prime factors of i(2)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50248 divided by 321.\nAnswer: -50248\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 - 24*p**2.\nAnswer: -p**2*(p + 72)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 23*l**2 - 308*l - 552. Determine c(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55913?\nAnswer: 11, 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -737591 or -3.9?\nAnswer: -737591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -6.6.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -2. Suppose -30 = -4*s + y. Find the third derivative of -s*h**6 + 4*h**2 - 17*h**2 + h**6 + 9*h**2 wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 370 + -373. Which is the biggest value? (a) 0.4 (b) k (c) -0.7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:07 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:08 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*u**4 + 0 + u + 0*u**3 - 3\/2*u**2.\nAnswer: u*(u - 1)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 10, -5*z + 20 = -0*z + 4*y. Solve -b = 2*s + 1, 3*b = -s + z*b + 27 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - ((-14)\/(-8) - 0). Let j be 3 - (3 - (1 - r)). Solve 0 = -g - j*s - 8, 0*s - s - 8 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -3*v + 1, -2*x - 10 = -3*v. Let z(u) = 2*u + 16. Let h be z(x). Solve h = p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.411, -290, 0.1, -2\/7, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213*g + 223*g - 46*g - 86 + 114 + 300 with respect to g.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*((-220)\/15)\/(-4)*1. Suppose 70*j - o*j - 156 = 0. What is the highest common factor of j and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*n, 4*k + 169 = -0*n - n. Suppose 2*g + 3*y = -2*g + 219, 0 = -4*g - 4*y + 216. Let v = k + g. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43184 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 16107.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/91*(-26)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -3 + 3 + 3. What is the greatest common factor of 20 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.7 - 12.7. What is the closest to 0.6 in 2, l, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/(-14) - (-3 + 10). Let k = 8\/7 + q. Find m such that -2\/7*m**3 + 0 + 2\/7*m**5 - k*m**2 + 0*m + 4\/7*m**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. What is the second derivative of 3*g**3 + g + 3*g**3 - 6*g - t*g**3 wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856 = -2*l + 4*l. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -7. Let s = -20 - -7. Let h(d) = 8*d**2 + 15*d - 15. Let i(o) = 4*o**2 + 7*o - 7. Let b(f) = s*i(f) + 6*h(f). Give b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -257. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 14*d - 140 = 0. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205644444?\nAnswer: 2, 3, 17, 103, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1389? (a) 0.0144 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/103700 and 33\/8500?\nAnswer: 518500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2331031 - -1?\nAnswer: -2331030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 326\/(-8) - ((-5604)\/7472 - (-6)\/9*3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 21 = -y, -h + 91 = 5*y - 5*h. Suppose -2*t - 63 = -y. Does 11 divide 15\/(-3 + (-69)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -705 + 1207. What are the prime factors of y?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a - 5. What is the units digit of k(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from {q: 3, k: 1, h: 1, e: 3, y: 3, n: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*t + 28, 5*a + 2*t - 18 = 4*t. Suppose 0 = a*o + 2, 78 = u - 6*o + o. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 - 4*f + 3. Let i be u(0). Solve i*z = 2*d + 11, -2*z = d - 3*z + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x + 16. Let r(c) = -1. Determine 48*r(z) + 3*w(z).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3955743 divided by -5643.\nAnswer: -701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 5 + 4 - -30) + (34 + -61 - -19)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 398 = -2*q, 0*o - 5*o = -10. Let r = q + -132. What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**4 + 136*h**3 - 804*h**2 - 936*h = 0.\nAnswer: -39, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 - 9*r**2 - 9*r + 9. Let t(p) = 10*p**2 + p**3 + 18*p**2 - 26*p**2 + 2*p - 2. Let q be 3 + 4 + -3 - 2. What is q*d(s) + 9*t(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 5, h: 1, x: 10}. Give prob of picking 3 c and 1 v.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -12bdab2?\nAnswer: -12bdaa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7176*t - 240. What is the units digit of i(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(243)\/(6*sqrt(1089)))\/((sqrt(108)*-3*5)\/sqrt(12)))**2.\nAnswer: 1\/36300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 - (2 + -10 + -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11737399 is divided by 3912462?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 11. Which is the closest to j? (a) 2\/7 (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/11, -2764, 3\/7 in ascending order.\nAnswer: -2764, -2\/5, -2\/11, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y + y + (-2*y + 2*y + y)*(y - 1 + 1) + y + 2*y**2 - y + 0*y**2 - 3*y**2 - y**2 - y + 2*y**2 + y)*(4*y**2 - 2 - 3*y**2 + 0*y**2).\nAnswer: -y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -7*d + 5. Let v(b) be the second derivative of -b + 3*b**2 + 0 - 4\/3*b**3. Let p be 7*2*(-7)\/(-14). Determine p*u(g) - 6*v(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(-17 + 18). Let f(i) = -i**3 - i + 60. Does 30 divide f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131001 (base 6) in base 3?\nAnswer: 121022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9286000 to the nearest one hundred thousand.\nAnswer: -9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**3 - 20*f**2 - 65*f - 25.\nAnswer: 5*(f + 1)*(2*f - 5)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t = 53*t - u - 22, -3*t - 5*u + 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 27*p**2 + 34*p + 173. Give u(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477768.123 minutes to weeks.\nAnswer: 47.39763125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + -138 + 77 + -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 354\/11, -1\/24, -5.8?\nAnswer: 354\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4370*o - 1816 + 1816.\nAnswer: 4370*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 7, -3, 2\/9, -0.4, 13041?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3171630365 - 4?\nAnswer: -3171630371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -3 (c) 0.3 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t - t - t. Let u be k(2). Suppose -5*v = 5*x - 15, -221*v - 5 = -226*v. Calculate the highest common divisor of x and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7448*o + 4*g = 7453*o - 49, -2*o = 3*g + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3977189 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-3) - (-7 - -4). Solve -4 - u = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001335169 rounded to seven dps?\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3, 0 = 2*p + p - 5*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -158.58 - -158.57983783. What is f rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5734433\/9 bigger than -637158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -72096241905 + -0.7\nAnswer: -72096241905.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1782072397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 5898.\nAnswer: 17694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.64941 - -0.05059. Put 1\/12, 1, c in ascending order.\nAnswer: 1\/12, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*((-4*o + 4*o + 2*o)*(-2*o + 2*o - 2*o) + 3 - 3 - o**2 + 2*o**2 + 2*o**2 - 3*o**2 - 2 + o**2 + 2) to r*o**2 + l + j*o and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806780 is divided by 1449?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m**3 + 3066*m**2 - 1740*m + 248 = 0.\nAnswer: 2\/7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -378 - -390. Suppose 0*w - w = -z. Solve -5*f = -w - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-3)\/(-1) + 61 - (-5 + (-23 - -26)) and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377751.843s to weeks.\nAnswer: 0.6245896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 4*g = -1, -3*z - 13 = g + g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - 21) + 81 + -18 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*l**3*m*s**2 - 35*l**3*s**2 + 4*l**2*m - 8*l**2*s**2 - 5*l**2*s + 6*l*m*s wrt l.\nAnswer: -204*m*s**2 - 210*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*n + 48 = 94*n. Calculate the remainder when 109 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17372065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + p**2 - 2*p + 6. What is q(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) + sqrt(4)*-1*-4 - sqrt(4)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 2662.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -19?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + -80 + -170 + 250\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.68 - -160.32. Which is the second biggest value? (a) 5 (b) -2\/9 (c) k (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 5, z: 5}. Give prob of sequence zq.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 4*i**2 + 12*i - 33. Let v be p(5). Solve w - 5 = -x - x, -v*x - 1 = -w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18454 + -6527. Suppose -3062 - r = -13*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 5*d**2 + 16*d - 17. Let y be m(7). Is 3 a factor of (-18)\/y + (-10 - -88)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, v: 2, x: 4}. What is prob of picking 1 v and 3 z?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 7:08 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-200)\/(-19500)*65)\/((-10)\/27)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556942 is divided by 185644.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236442498 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3088926*d**3*y - 21463199*d**3 + 2*y**2 with respect to y.\nAnswer: 3088926*d**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124*t**5 - 80*t**5 + 45*t**5)*(0 + 4 - 3)*(-2 + 1 + 0).\nAnswer: -89*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 x when three letters picked without replacement from {x: 12, i: 2, r: 3}?\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -843 by -785179.\nAnswer: 843\/785179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930 and 690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + c = -19, a + 3*c + c = -21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 772 = -u. Suppose 5*x = 470 + 245. Let i = u - x. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.48184*-19\nAnswer: 579.15496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyeoeeoxeoxeoye. Give prob of sequence eyx.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 - 5*x**4 + 3*x**4 + (-37*x**2 - x**2 - 4*x**2)*(2*x**2 + 1 - 1).\nAnswer: -83*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2518, -5057, -7604, -10165, -12746, -15353, -17992, -20669?\n\"Answer: -c**3 + 2*c**2 - 2538*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 30*k**2 - 8. Let c(m) = -19*m**2 + 5. Let w(u) = 8*c(u) + 5*n(u). Let s(z) = -104*z**2. Give w(s(f)).\nAnswer: -21632*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.2. Let n = v - -0.5. What is the closest to -33 in n, 0.2, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, q: 5, b: 6}. Give prob of picking 2 b and 1 c.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 11)*(-5 - 2*v + 5*v + 0*v)*(-2*v**4 - v**4 + 5*v**4).\nAnswer: -18*v**5 + 30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 = -9. Suppose -y + 2*h + 7 = -j*y, -h = -5*y + 20. Suppose -v - 4 = 0, -y*m + 2*m + 19 = -2*v. What is the greatest common divisor of m and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/6046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25651 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 26. Let u(j) = 2*j**2 - 42. Give n(u(l)).\nAnswer: -8*l**4 + 336*l**2 - 3502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -41 (b) 0 (c) 4 (d) -2 (e) -3\/5 (f) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38654 and 49698?\nAnswer: 347886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -24*q + 19*q. Let x be -6*q*12\/(-16). Suppose -v = x - 49. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 788357*b\/3 + 1576718\/3.\nAnswer: -(b - 788359)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 - -169.95. Let o = -0.05 - j. What is the nearest to -8 in 1\/10, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {r: 2, d: 4, v: 5, u: 1, g: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355875 (base 11) in base 9?\nAnswer: 4348777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*i - 3*w, 0*i - 5*w + 29 = 2*i. Is i\/(-3) - 81718\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/11 (b) -0.4 (c) 123434060\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -1260534*l**3 - 11*l**2 - 60*l - 50. Is x(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)**(2\/49)*(n*n\/n**24)\/n**(-21))**36 assuming n is positive.\nAnswer: n**(-1908\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 307 - 129?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*d - 10, -4*d + 4*s + 30 = 26. Sort -0.61, -0.1, -3\/5, 1, d in increasing order.\nAnswer: -0.61, -3\/5, -0.1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294221983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlxhhlxxwwjw. What is prob of picking 1 w, 1 l, and 1 j?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 8*b**3 + 204*b**2 + 376*b + 182.\nAnswer: -2*(b - 13)*(b + 1)**2*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1098 and (-10)\/((-4)\/(-2)) + (770\/12)\/5?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.351 - -0.049. What is the closest to -2 in 0.2, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -a4?\nAnswer: -a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3316 and 13196.\nAnswer: 10939484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6550 - -9086. Calculate the smallest common multiple of 28 and g.\nAnswer: 17752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 29\/625027?\nAnswer: 29\/625027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 48960.7\nAnswer: -4896.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -7. Let h = 13 - u. Suppose 2*y + 11 = -4*t - h, y = 5*t + 24. Which is the nearest to 1\/5? (a) 0.2 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 774732092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 13*v - 3 = 0. Is 2\/21 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10224077 to the power of 1\/2, to the nearest integer?\nAnswer: 3198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 0 - ((9 - 26) + 23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 817691598 a multiple of 2407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.1, -3\/4, 2, -305.79?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 5 + 12)*(g**2 - 4*g**2 + g**2) as m*g + f*g**2 + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/49? (a) -0.1 (b) 1 (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*f**3*x**2 - 3*f**2*x**3 + f**2*x**2 - 66*f*x**3 + 7*f*x**2 + f*x wrt f.\nAnswer: -324*f*x**2 - 6*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 + 12*x**2 - 5. Let l(h) = -h**3 - h**2 + 1. What is -d(y) - 5*l(y)?\nAnswer: -y**3 - 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.018 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, j: 5}. Give prob of picking 2 f.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1591 divided by 4\nAnswer: -1591\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -99. Let g = -83.014 - v. Let f = 0.274 - g. What is f rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3. Let l(g) = -5*g - 60. Suppose 119*a - 2*s = 123*a, 0 = a - s + 9. What is a*l(m) - 60*x(m)?\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -28, -2, 733 in decreasing order.\nAnswer: 733, 1, 0, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -19. What is the second smallest value in 1, x, 0.1, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(3) + 1) - sqrt(3)) + -3)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 200*r - 2. Let w(y) = 3*y + 4. Let a be w(-2). Let s be l(a). Calculate the least common multiple of s\/(-18) + 1\/(-3) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 10:39 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45870 and 1056?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 13*u**2 - 9. Let z(y) = -6*y**3 - 66*y**2 + y + 44. Let d(h) = 11*x(h) + 2*z(h). What is the tens digit of d(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9382843 by -36.\nAnswer: -9382843\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*l**2 + 35*l**2 + 2*l**2.\nAnswer: 114*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(1\/15)))**20\/(z**6)**7 assuming z is positive.\nAnswer: z**(-122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-21)\/(-14)*20\/(-6) + (49830 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**3 - 4*p**2 + 5*p. Let r(l) = 1 + 9*l + 11*l**3 - 1 - 7*l**2. Let i be (17 - 19)\/((-4)\/(-14)). What is i*z(g) + 4*r(g)?\nAnswer: 2*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 4*j**2 + 4*j + 4. Let k(m) = m**2 + m + 1. Suppose 26*p - 7 - 19 = 0. Calculate p*i(u) - 4*k(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u*(u\/(u*u**(-1\/4)))\/u)\/u*u*u**(3\/16) assuming u is positive.\nAnswer: u**(39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*l + 24, 291*l - 18 = r + 287*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 - -1210?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/229268 and 27\/508.\nAnswer: 29117036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -117096 divided by -123\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246048?\nAnswer: 2, 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5602*z**3 - 2 + 7858*z**3 - z + 0*z wrt z?\nAnswer: 13536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177639, -355282, -532925, -710568, -888211, -1065854?\nAnswer: -1243497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 21, -6574 in decreasing order.\nAnswer: 21, -188, -6574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/20 + 5*u**4\/12 - u**3 - 5*u**2\/2 - 41*u. What is p(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 375407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -3047d?\nAnswer: -30475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2 - 6*n**2 + 5 + 10*n - n**3 + 0*n**3. Let g = 490 + -497. Give i(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 869 and 1142 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 220, -22610, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105175.\nAnswer: 5, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 5*s**2 + 2. Let z be 3\/6 - (-9)\/2. Let m be q(z). Let l = 3.73 + -2.73. Which is bigger: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1638 - -1644. Let c be 2\/(-2) + (-33)\/(-11). Suppose 0 = 2*g + c*a - 24, 2*g = 2*a + 8 + 8. Solve g + p = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from duh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41674\/18 + (-11 - (-582)\/54) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/(f\/((f**1*f)\/f*f))))\/((f*(f\/(f**(2\/5)\/f)*f)\/f)\/f)*f*f**31\/f*f*f*f**(3\/7) assuming f is positive.\nAnswer: f**(1149\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15687\/5407 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (-2 - -4) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - g = -12, -167*w + 171*w + 4*g + 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5489 = 66*l + 3696 + 4301 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. Let z be 4\/6*(-24)\/j. Sort z, 3, 12.\nAnswer: 3, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/(-3)*42\/140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-4)\/(-2 + 0)). Suppose 3*n - 6 = -t*n. Suppose 0 = 2*w, -y + 3*w - 1 + n = 0. Solve y = 5*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*a - 61298, -5*b + 6*a = 4*a - 61318. What is the thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**2 - 396*o - 407*o + 806*o - 1)*(2*o**2 + o - 775 + 755 - 3*o**2) as m*o + x + g*o**4 + c*o**3 + b*o**2 and give m.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*g + 44 = 0, -d + 62648 = -3*g + 62610 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23545 and -95511448?\nAnswer: 95487903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -521948 - -4122859\/8. Let c = j - -6581. What is the common denominator of -81\/16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489.2591961 + -161.2591794. Let k = 328.046 + -0.046. Let t = h - k. Round t to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43537*m + 7155 wrt m?\nAnswer: -43537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 + 516)*(-5)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-4)*g*g**(2\/5)*g**0\/(g\/(g\/(g\/(g*g*g**(-4)\/g*g*g))))*((g**2)**(25\/6))**(-38) assuming g is positive.\nAnswer: g**(-4804\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 10985 - 3*c**2 + 1483*c - 2*c**2 + 420*c + 9077*c = 0. What is c?\nAnswer: -1, 2197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 386*g + 7616. Calculate t(-211).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47214164 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1312387 + 1312387 - 29462*q in the form r*q + k and give r.\nAnswer: -29462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 7*t - 4. Let a be 78\/12 + 7\/14. Determine o(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 5*q + 2696. Let c be (-2)\/36*q\/(-20). Let l = c + 5\/6. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*t + 18 = -3*n, -t + 6 = -n. Which is the third biggest value? (a) n (b) -4 (c) 4 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(140) - (sqrt(140) + (sqrt(140) - (sqrt(140) - -2*(sqrt(140) - (sqrt(140)*-2 - sqrt(140))))) + sqrt(140)))\/sqrt(5))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 2. Let t be q(-5). Let n = -21 + 13. Let k = n - t. Are 1 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 2*b + 3. Let o be u(-2). Find k such that -2*k**2 + 6*k**o + 4*k**2 + 2*k + 4*k**2 + 2*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359 (base 15) to base 14.\nAnswer: 3c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-297)*2\/2*18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -2 (b) 0.3 (c) 151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/57 and 11\/8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2124 and 12508?\nAnswer: 112572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/2369936 and 3\/592484.\nAnswer: 2369936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + u = 4*u - 9, 17 = 3*q - u. Suppose 0*j = 3*j - k - 73, -3*k = j - 21. Suppose -q*h + j = -26. What is h rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-12 - (-5 + 1))) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4431 - 0.7569. Which is the nearest to -0.1? (a) -0.5 (b) 2\/35 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736.21 rounded to the nearest 10?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3603)\/34829)\/(45\/(-174))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3. Let n(v) = 10*v**3 - 1. Give -5*f(z) + 3*n(z).\nAnswer: 5*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 10:52 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 2. Let a be i(0). Suppose 5*r + 15485 = -2*g, -3*r + a*g = -0*g + 9307. Let y = r - -5768. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 110*o + 1613. Calculate the remainder when 554 is divided by g(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 3*f**2 + 0*f**2)*((-4*f + 5*f + f)*(0 + 0 + 2) + (0 - 1 + 2)*(-2*f + 2*f + 2*f) - f - 3*f + 3*f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 63?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13251 - -13251.37171. Let f = r + -0.373. What is f rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 + 0*c**5 - 4*c**5 + 2*c**5 - 3*c**5 + 3*c**5 + (c**2 + 2*c**2 - c**2)*(-2*c**3 - 3*c + 3*c) - 77*c**5 + 17958 - 17958.\nAnswer: -83*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7521.861 hours in seconds?\nAnswer: 27078699.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + y + 2. What is m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/295865 and 13\/5.\nAnswer: 295865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 48. Let q be b(11). Differentiate q*a**2 - 3 + 2*a**2 - 19 - a**2 wrt a.\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-1 + (-5)\/(-5)). Suppose -5*k + 2*o - 4*o - 197 = s, -3*o = 3. Let i = 45 + k. Solve 3 = -n + i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 730476 and 9888?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c - 7*c. Calculate the remainder when c + 17\/5 - (-1074)\/15 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -724*n**2 - 2 + 3*n**3 + 676*n**2 + 1 + 10*n**3 - 2*n in the form o*n + k*n**3 + j + a*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/9558544 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 977 or 918?\nAnswer: 977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6794 and -3?\nAnswer: -20382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-837)\/62)\/((-1)\/(-2) - 1). Put -1, k, 1 in descending order.\nAnswer: k, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - 28*f - 233. List the prime factors of s(62).\nAnswer: 3, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q - 10. Let w(j) = 3*j + 2. Let x be ((22\/4)\/1)\/((-51)\/(-102)). Calculate x*w(o) + 2*g(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14381 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u - 160 + 76 + 81 - 6*u**2.\nAnswer: -6*u**2 - 19*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168986 is divided by 262.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/4*((-32)\/(-6) - 4). Let p be (-9)\/l + 10*3\/10. Let v = -0.8 + -0.2. Which is the second biggest value? (a) 4 (b) p (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t - 1. Let g be r(3). Suppose -g*x + 14 = x - y, 3*y - 6 = x. Is 8 a factor of 40\/x*12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 618, -40?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 957 + -753.7. Let k = q + -203. Which is the closest to -2\/15? (a) -3 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115 + -9?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -28078*u**2. Let p(y) = -238*y**2. Give p(w(i)).\nAnswer: -187633031992*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/12 - (-7301)\/294. Calculate the greatest common factor of 246 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 15*z**2 + 2*z**2 - 12*z.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n)**(-16\/7)*n**7\/(n*(((n\/n**(-5))\/n)\/n)\/n*n*n)*(n**(-1)*n**1)**(-1\/52) assuming n is positive.\nAnswer: n**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - r + 0*r)*(1 - 1 + 1) + 0*r - r - r - 3*r + 0*r + r + (3 + 1 - 3)*(-2*r - 2*r + 3*r) - 1 + 1 - r to the form g*r + h and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h + 1. Let r(x) = x**2 + 7*x + 7. Let v be r(-6). Let n(k) = 0 + 8 - 3*k - 3*k - 2*k**2 - 4*k**2 - 11. Calculate v*n(g) + 4*b(g).\nAnswer: -2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 53. Let v = 47 - f. Is 10 a factor of 2*5 + (3 - v\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 + x**2)*(-8*x**2 + 29*x - 29*x).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Let h be (u\/1)\/(3\/(-12)). Let i = 0.2 - 0.7. What is the second smallest value in -3\/4, h, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*g**2*w**2 + 2*g**2 - g*w + w**2 - 6*w + 21 wrt g?\nAnswer: 62*w**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - 8. Let j be l(4). Let a(w) = -4*w + 1 + j - 3 + 1 - w**2. Let o be a(-5). Solve -10 = -o*u - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4383 and 23814?\nAnswer: 11597418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.144 - -9.22. Let l = 1.49 + z. Let q = l - -1.5. Round q to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 10 + -12 + 1 - -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-30)*(-9)\/(-6). Let y = -0.3 - -0.3. Which is the closest to y? (a) 1 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76461521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114873521869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50978, 50982, 50986, 50990, 50994?\n\"Answer: 4*o + 50974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7 = 3*l, -2*l - 389*p + 6 = -388*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvtu when four letters picked without replacement from {t: 2, u: 14, v: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/120 + 3*g**4\/8 - 319*g**3\/12 - 3621*g**2. Factor s(c).\nAnswer: (c - 11)*(c + 29)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-14))\/((-132)\/616). Let i(s) = s**3 + 4*s**2 - 2*s - 1. Calculate i(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*29248\nAnswer: 760448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7110.58528 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 78.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 4 (c) 12\/7 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2368.296039 to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 3 - 8*n**3 + 7*n**3 to the form s*n**3 + p + k*n**2 + y*n and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5702 (base 8) to base 7.\nAnswer: -11530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 19*i + 9*i. Solve 4 = -i*b - 3*u, 0*u = 5*b - 2*u - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1155804 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -861, -1954, -3491, -5472?\nAnswer: -7897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 + 0*t**4 + 3*t**4)*(-24*t - 313*t - 35*t - 209*t).\nAnswer: -1743*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 15*b**2 + 21*b - 8. Is n(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 3) + 12\/16*(-2120)\/(-195)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -181\/18 (b) 1 (c) -0.1 (d) 0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2400 and (-43)\/(-6192)*(-1062)\/(-300)?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -863.\nAnswer: -4\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110110100011 - -1?\nAnswer: 10010110110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1362 - -1358. Let r = -5 - -4.6. Which is the fourth biggest value? (a) 3 (b) -0.3 (c) r (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -45. Suppose -j = -2*t + k, -3*t + 34 = 4*j - 19. Let y = -45280 - -45323. What is the remainder when y is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 0*r + 4*r - r**2. Suppose v - 2*t - 2*t - 45 = 0, -2*v + 50 = 2*t. What is the remainder when v is divided by x(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/((-42924)\/(-1606))*20\/(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28.07 + -27.66. Which is the third smallest value? (a) j (b) -5\/2 (c) 3 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2. Let o(i) = 25*i**2 + 64*i + 27 - 119*i**2 - 39. Let k(x) = -o(x) - 5*u(x). Find the second derivative of k(h) wrt h.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:52 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8871992*a**4 - 705719*a + 2?\nAnswer: 106463904*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 459 or -1165995\/8?\nAnswer: -1165995\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 48480.\nAnswer: 1018080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(405) - (-1*sqrt(405) + sqrt(405) - sqrt(405))))\/(sqrt(900)*-1 + -2*sqrt(9)*1) + 1)*3.\nAnswer: 3 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2.35641 weeks?\nAnswer: 1425156768000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.2. Let m = -4949\/6588 - -2\/1647. Which is the biggest value? (a) m (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4056264 divided by 4806\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(((b\/b**(3\/2))\/b)\/b))**2\/((b*b**(-10)\/b)\/b*b*b\/(b*b*b\/b**(-1\/4)*b)))**(5\/3))**41 assuming b is positive.\nAnswer: b**(18245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + -6*((sqrt(125) + 0)*3 - (-4 + -1*sqrt(125))**2)).\nAnswer: 600*sqrt(5) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 9*h**3 + 0*h**3 - 10*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = 4114 + 3566. Let z be (o\/100)\/((-4)\/10). Let t be 10 - z\/(-4)*-1 - 2. Put -2, 5, t in decreasing order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0*t**2 + 3*t**2 - t - 1 - 4*t**2. Suppose 3*c + 9 + 8 = -r, -4*r = -2*c + 12. Let x(k) = 7*k**2 + 4*k + 7. What is r*q(z) - x(z)?\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from ssseevrerheeshss?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1936) + sqrt(1936)*1 - sqrt(1936)) + sqrt(1936))\/(sqrt(40)\/(sqrt(80) + sqrt(5)) + sqrt(8)) + -5)**2.\nAnswer: -550*sqrt(2)\/3 + 6275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 174\/(-340) - 6\/(-6). Let o = -3\/34 + n. Let k be (-12)\/70 + 2\/(-5). What is the biggest value in o, -4, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68327*u + 894*u**3 - 886*u**3 + 68307*u.\nAnswer: 8*u**3 - 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 16 - (-3 + -2 + 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 36*b - 39*b + b**3 + 0*b**2 + 4 - 2*b**2. What is c(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -253, -467, -889, -1591?\nAnswer: -2645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/4 + 8*y**3\/3 + y**2 + 7*y - 1. Let d = 32503 - 32511. Give b(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from zdzhhdhhhddhdhd?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -921*d + 23039. Determine i(28).\nAnswer: -2749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + ((-2)\/(-5))\/((-117)\/(-1755))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-17) + (-92)\/782?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1164396181*g**5 + 638337*g - 126.\nAnswer: 23287923620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 451338000 rounded to the nearest one million?\nAnswer: 451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106302 divided by 15186.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (24 - -3 - 8) + 1 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**5\/2 + 33*o**4\/2 + 276*o**3 - 2406*o**2 - 7200*o + 21600 = 0.\nAnswer: -12, -4, 2, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 8) to base 16\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1369891*k**2. Let w(h) = 6*h. Determine o(w(a)).\nAnswer: -49316076*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = 13, -4*g + 4 = -4*m. Which is the third smallest value? (a) -0.1 (b) -1\/3 (c) 5 (d) 1\/4 (e) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.9. Which is the nearest to o? (a) 0.3 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 8)*(284*a**2 - 144*a**2 - 138*a**2 - 132).\nAnswer: 16*a**2 - 1056","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -7*z**4\/2 - 65*z**3\/2 - 37*z**2 - 8*z = 0.\nAnswer: -8, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 3. Let c be j(2). Suppose -1 = -v, -l - 4*l - 20 = c*v. What is the closest to 1 in l, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*u - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 637*b - 6328. Determine m(10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47107 (base 9) in base 11?\nAnswer: -21688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 377327843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m**3 + 3*m**2 - 2*m. Suppose 160 = 20*n - 60*n. Let h(k) = k**3 + k**2 - k. What is n*h(p) + a(p)?\nAnswer: 9*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 21*j + 135. Let f(s) = 9*s + 68. Let x(y) = 5*f(y) - 2*u(y). Let v be x(15). Do v and 114 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -2*j**7\/105 + j**5\/5 - j**4\/3 - 18*j**2. Factor g(u).\nAnswer: -4*u*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -18*l + 12*l. Let u be 2\/4 + (65\/10 - l). Let f be u\/(-24) + 32\/6. Solve -f*s = -2*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16276*x**3 + 2253*x**3 - 16*x + 16*x.\nAnswer: -14023*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)**(-29)\/(q**(2\/5))**(2\/37))\/((q*(q\/(q**(1\/4)*q))\/q)**50\/((q**(-3\/5)\/q)\/q**(-2\/7))) assuming q is positive.\nAnswer: q**(-9239\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 9) to base 15\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000100110101100 (base 2) in base 8?\nAnswer: -704654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + 95 + -105 + (-3 - (8 - 7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 - 2. Let k(m) = m**2 + 4*m - 2. Let z be k(-4). Let s(n) = 4*n**2 - 2. Let f(i) = z*g(i) + 3*s(i). Factor f(o).\nAnswer: 2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*r**2 + r + 4*r**3 + 0*r**3 - 227*r**2 in the form t + l*r + z*r**3 + j*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -70\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6 = l + 5*p, 0 = 5*p. Factor -24*o**2 + 8*o**4 + 10*o + 3 + 2 - 1 + 2*o**l.\nAnswer: 2*(o - 1)**2*(o + 2)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555387469?\nAnswer: 7, 13, 131, 46589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 5. Let p(d) = -d**2 + 3*d + 24. Let z be p(-4). Let i = -0.7 + 0.6. Put c, z, i in increasing order.\nAnswer: c, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 118*k + 25. Is r(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*s**3*t**3 - 3*s**3*t + 161*s**2*t**2 - 11*s*t**2 + 79*t**3 wrt t?\nAnswer: 1020*s**3 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*(-902)\/(-3168))\/((-9)\/243)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.266, -167, -21, 0.3?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-9)*6 + -15 + 16. Find the third derivative of 0*c**2 + 4*c**5 - c**2 - 4*c**2 + 51*c**t wrt c.\nAnswer: 3300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355136 divided by -8?\nAnswer: -169392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -46?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 38 = -14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 3 + 2 + 0 + (6*m - 5*m - 5*m)*(3*m + m - 2*m) + 4 + 3*m**2 - 4)*(-1 + 1 + 2).\nAnswer: -14*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 357 and 1810 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*w + 237*w + 771*w + (-3*w + w + 4*w)*(6 - 1 - 3).\nAnswer: 938*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22140 is divided by 320?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:47 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 154417, 4 in increasing order.\nAnswer: -48, 4, 154417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 32 + 18 = 0. Suppose 0*n - n = -h. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3689274138 + 3689274139 - 477*j + 513*j.\nAnswer: 36*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474246 is divided by 2709?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.53619g?\nAnswer: 0.00000653619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1943578 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358 - -358.1. Put -94, v, -4\/7, 3 in descending order.\nAnswer: 3, v, -4\/7, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*u = -64*u - 501334. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/15 (b) -458 (c) 1\/4 (d) -1 (e) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 8*p**2 + 8*p - 9. What is l(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u + 264 = -80*u, -3*r = r - 5*u - 177 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 - 4*q**4 + 979*q**3 - 148*q**2 - 286*q wrt q?\nAnswer: -60*q**2 - 96*q + 5874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2550.6 and 0.2?\nAnswer: 510.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**3 + 5 + 11*x - 4 + 18*x + 0*x + 54*x**3.\nAnswer: 39*x**3 + 29*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26279, 52810, 79339, 105866?\n\"Answer: -c**2 + 26534*c - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + c + 7. Calculate w(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 865 = 17*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-145975)\/(-15) - (1\/2 - 1\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 1, s: 2}. Give prob of sequence ca.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - m + 8. Let d(f) = 0 - 14*f**3 + 5 - 4 + f + f**2. Calculate the remainder when d(-1) is divided by a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - -14. Suppose -2*d - k = 3*d. Does 6 divide (-4)\/d - (-104)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/8*o**4 + 96*o - 255\/8 - 387\/4*o**2 + 33*o**3 = 0.\nAnswer: 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. Suppose -19 = -5*v + f, o*v + 6*f = f - 8. Solve 0 = -v*u - x + 11, -5*u - 5 = -10*u + 5*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5508699 nanograms in micrograms?\nAnswer: 0.0005508699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 3*d - 7*d + 5*d.\nAnswer: d + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9372724 is divided by 33474.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-320)\/350) + (-6)\/(-16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:55 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2*26*-36*43\/1032\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:10 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(6) - sqrt(864)*1) + (sqrt(3872) + sqrt(3872) + -1 - sqrt(32)))**2.\nAnswer: -1846*sqrt(2)\/11 + 1703979\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.058*22.\nAnswer: -485.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:51 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(180) + 1) - (2*sqrt(180) + 1))**2*3 + -2*-4*2*(sqrt(180) - (sqrt(180) - sqrt(180)*-2))**2.\nAnswer: 720*sqrt(5) + 25068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952773452 take away 0.002?\nAnswer: -2952773452.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*q + 8. Suppose 2*t - 305 - 61 = 4*c, -q*t - c = -750. What are the prime factors of t?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 + 3*q**2. Let r(f) = f - 51. Let y(d) = -26. Let v(s) = 3*r(s) - 5*y(s). Let g be v(11). Suppose -4*t + g = t. Determine u(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285111521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -667.307 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22001 - 21010000101?\nAnswer: -21002201100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 3*q - 3. Let c(g) = -3*g**2 + 7*g - 6. What is 6*c(m) - 14*v(m)?\nAnswer: -4*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 - 96*h**2\/5 - 176*h\/5.\nAnswer: -4*h*(h + 2)*(h + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 59883989787107 and -4.\nAnswer: 59883989787103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40186 - -4102493.\nAnswer: 4062307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1073 - 2131\/16095. Which is the closest to 0.2? (a) n (b) 4 (c) -2\/5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 11764?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -31943130 to the nearest 10000.\nAnswer: -31940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 365930 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*(-8)\/(-3). Let i be ((-5)\/10)\/(44\/(-12) + 3). Which is the smallest value? (a) -2 (b) -11 (c) i (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175*y - 49*y**2 - 24*y + 51*y**2 + 59*y to w + f*y + d*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*-2*2*sqrt(125) + -3 + (-2*sqrt(125))**2 + ((sqrt(125) + 1*(sqrt(125) + -1 + sqrt(125)))**2 - sqrt(125)) + -2.\nAnswer: 65*sqrt(5) + 1617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*w + 494*w - 1583*w + 527*w.\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3954 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12523910, 12523914, 12523918, 12523922, 12523926, 12523930?\nAnswer: 12523934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12868 by -6434.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000768918 to 6 decimal places.\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -3) + (-2)\/(-1). Suppose -12 = 3*u, k*y - 5*u = y + 22. Suppose 3*h + y*h - 5*r = 60, 2*h + 3*r - 9 = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 88292, 88293, 88294, 88295, 88296?\n\"Answer: h + 88291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2921 in -2\/3, -1, 3, 0.0456?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3621 is divided by 53?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10111011010100000011?\nAnswer: -10111011010100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + u - 2*a + 38 = -0*u - 5*u, 2*u + 421*a = 420*a - 30 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 - -a233a68?\nAnswer: a233a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124729*s**2 - 170798*s**2 - 72454*s**2 - 83967*s**2.\nAnswer: -451948*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*h**3 - 52912734*h**2 - 259*h + 27160.\nAnswer: 42*h - 105825468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 2971 = -22474. Calculate the lowest common multiple of 7 and z.\nAnswer: 5089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905161817 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -24, -991732.\nAnswer: -991732, -24, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 6*n**2 + n + 6. Let q be h(-6). Suppose 0 = y - q*y - 25. Suppose -5*u - 5 = -y. What is the greatest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66305 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 18) + (38 - 19)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 + 3*a**2 + 4*a**2 + (-5*a**2 + 3*a**2 + 3*a**2)*(2 + 2 - 5) - 45 + 45 - 12*a**2 - 2*a**2 + a**2 - 2*a**2 as h + u*a**2 + d*a and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + -1 + (-12 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 2, u: 2}. What is prob of picking 1 n and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*l**4 - 1 - 2734*l + 2734*l - 2193*l**3 to the form w*l**3 + z*l + c*l**4 + a + v*l**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b. Let n(a) be the first derivative of a**4\/8 - 11*a**2 - 4. Let l(y) be the second derivative of n(y). Determine s(l(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905211 at least as big as 2905211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-6) + 18\/27. Suppose 0 = 5*x - 1 + z. Let s = -4 - -6. Put 8, s, x in descending order.\nAnswer: 8, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**4*p**2 - m**3*p**2 + m**3 - 3*m**2*p**2 - 9*m**2 - 1 wrt m?\nAnswer: 72*m*p**2 - 6*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -3\/5, 0.1, 921, 1\/8, 3, -3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/9, -1\/5, -0.0979, 0.4, -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53397 is divided by 17775.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/24 + -5\/24. Let z(r) = r**2 + r + 2. Let x be z(0). Let h = x - 0. What is the nearest to -2\/7 in h, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*-2*69\/6. Suppose -2*g - b = -3*o - 6*g, -o + 3*g = 14. Is -1 - -77 - (o + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1279 - 376. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/3))\/(z*z\/((((z**(-22)\/z)\/z*z)\/z)\/z)))\/(z\/((z\/((z\/z**(19\/4))\/z)*z)\/z)*z*z*z**(1\/8)) assuming z is positive.\nAnswer: z**(-545\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2198621, 2198634, 2198647, 2198660, 2198673?\n\"Answer: 13*m + 2198608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 18 = -28. Let m(h) = -3*h**2 - 9*h - 5. Let t(j) = -j**2 - 4*j - 2. Let n(l) = 2*m(l) - 5*t(l). Let y be n(3). Put y, r, 3 in ascending order.\nAnswer: r, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 smaller than -0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + p - 2*p)*(3*p**2 - 3*p**2 + p**3) + 831*p - 8672*p**4 + 8671*p**4 + 2677*p to the form b + i*p**2 + h*p**3 + n*p + c*p**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -8*j + 12109. Let l = -8245 - j. Suppose -l = -4*r - 5*t, 4*r = 2*r - 5*t + 1922. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*q + 138*q - 8320. What is the lowest common multiple of 104 and q?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 9:28 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 765638.4199 rounded to the nearest one thousand?\nAnswer: 766000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-17 + (-15282)\/(-900))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/4 - -1\/2. Which is the nearest to -2? (a) -1 (b) -4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -260.8 - -260.800001969. Round v to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 79. Let z = 32 - h. What is the third smallest value in 5, -1, z, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 52.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/4*7\/(-42))\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, 0.48, -39.\nAnswer: -39, -23, -4, 0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 54*l + 540 = 27*x, -4*l = 40 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 32 + 32. Solve 4*r + 0*r + 12 = w, -5*r - 13 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22871226*p**4 - 45*p**2 + 4*p + 855144.\nAnswer: 548909424*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -480*j**5 + 48*j**5 - 237*j**5 + (-3*j**3 + 2*j**4 + 3*j**3)*(-2*j - 4*j + 3*j).\nAnswer: -675*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1116 and 496?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*w - 10 - 19, 4*s + 5*w - 35 = 0. Suppose 5*l - 30 = s*m, 2*l - 15 - 1 = 3*m. Which is the second biggest value? (a) -2\/9 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**3 + 3*t**2 + 15612*t + 13661107 wrt t?\nAnswer: -3*t**2 + 6*t + 15612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589407 is divided by 52977?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 18}. What is prob of sequence ds?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:24 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15216263 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28407.85 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from hqhhhqh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 29. Let b(k) = -147*k**2 + 33*k + 33. Let l(c) = -9*c**2 + 2*c + 2. Let j(s) = -2*b(s) + 33*l(s). Calculate z(j(i)).\nAnswer: -6*i**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 16 - 19 = 0, 5*p - 8 = g - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573991027.\nAnswer: 37, 15513271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + 2.5. Suppose 0 = -31*r + 4045 + 12788. Let y = r - 7063\/13. Is y at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -367*b - 3193. Determine g(-6).\nAnswer: -991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, j: 2, d: 14}. What is prob of picking 2 j and 1 i?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*d - 12 = 0, 0 = c + 3*d + 12213 - 12209 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + v)*(-v**2 - 3*v**2 + 2*v**2) + (-11 - 6 + 3)*(-v + 2*v**3 + v) + (0*v**2 - 3*v**2 + 4*v**2)*(-2*v - v + 2*v).\nAnswer: -31*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-361)\/133 - (-4)\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q. Let c(w) = 0 + 27689*w - 27635*w - 1 + 1. Determine k(c(s)).\nAnswer: -486*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20.24 times 4\nAnswer: 80.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -31 + 3*o + 43 + 4*o. Let r be f(12). Suppose 10*m + r = 14*m. What is the highest common divisor of m and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71893 and 48229.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 4. Suppose -2*f + 2 = -10. Let c = -1 - f. Is 12 a factor of t(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3301, 6433, 9565, 12697?\nAnswer: 15829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1302 (b) -5 (c) 5 (d) -1\/196\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152471812 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 + 37*f - 252. Calculate the remainder when p(6) is divided by (-1750)\/(-49) - 4\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 217*2\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/1323)\/((-208)\/84)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110 (base 7) in base 4?\nAnswer: -23212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35590859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158301920 rounded to the nearest 100000?\nAnswer: 158300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 380078*k**4 + k**2 - 11*k - 5745 wrt k.\nAnswer: 9121872*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 times -357\nAnswer: -2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/3 + -3 + 8. What is the nearest to -2\/5 in -1\/3, 1, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -189886 and 0.42?\nAnswer: 189886.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 30 = 5*p, -r + 34 = -5*p + 10. Let w(u) be the third derivative of u**5\/20 + 9*u**2. What is the units digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 16 = -5*i - r, 0 = -r - 3. Let l be 2*(-2)\/(-76)*i. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58917916.\nAnswer: 2, 14729479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 n when two letters picked without replacement from ntntvtgtvsgswttvst.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -957 divided by -139755\nAnswer: 29\/4235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133333201 + 101123?\nAnswer: -133232012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9059835?\nAnswer: 3, 5, 603989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -1 - (1421 - 1460)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36896*h**2*s**2 - 174*h**2*s - 6*h**2 + 3*h*s**2 - s**2 + 2*s wrt s.\nAnswer: -73792*h**2 + 6*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -260 - -1b94?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4049 - 20142\/5. Let f = r - 21. Let u be -2 - -1 - (-2)\/4*0. Which is smaller: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*y = -3576. What are the prime factors of (2\/(-1))\/((-1780)\/y + -3)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 209128436?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -5*u - 4*s, -396*u + 395*u + 5*s - 62 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268 + 110. Let j be 0 + 2 - (13 + n). What is the greatest common divisor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 3, -131?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 4\/(-1))*38\/152. Let a(n) be the first derivative of -13*n**3\/3 + n**2\/2 - n - 66. Determine a(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 152513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2427 * -0.041\nAnswer: -99.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37810987099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -15842\/3*a - 5\/3*a**4 + 0 + 296*a**3 - 13083*a**2 = 0.\nAnswer: -2\/5, 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - (-26 + -10) - (13 - 1)) + (42 - 0).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21322 + -151224?\nAnswer: -212550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t = -40. Let m = -2792 - -2792. Solve m*s = 2*s - t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q. Suppose 5*h = h - 12. Let g(k) = -k - 1. Let r(o) = -46*o**2 + 22*o - 7. Let j(n) = 3*g(n) - r(n). Let v(m) = h*s(m) + j(m). Factor v(u).\nAnswer: (7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352 + -358. Let t = w + 5.9999598. What is t rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(5 - 45\/10). Let h be (k*(-6)\/60)\/(0 + -1). Which is greater: -15 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o*y - 2471128*o - 431648*y with respect to y.\nAnswer: -4*o - 431648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*h - 1805 + 401 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f + 251 + 527 = 118 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5773 - 5772.5. Which is the nearest to -2? (a) -253 (b) -3 (c) 5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 8*x**2 + 4*x - 4. Let s be t(1). Solve s*q - q = 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -4.8. Let w = -29 - -29.53. Let u = w + -0.33. Which is the smallest value? (a) u (b) -7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 45. Let m(p) = 11648*p + 327600. What is -m(k) + 7280*n(k)?\nAnswer: -4368*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 j when three letters picked without replacement from {q: 7, g: 4, x: 1, j: 3, u: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 + 2*l**2 - 2*l + 19. What are the prime factors of t(4)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.5. Let o be 12\/(-5) - (-15)\/5. Which is the closest to 1? (a) o (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 3*b - 2. Calculate the remainder when a(4) is divided by (11\/2)\/((-3)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -195, -232, -303, -408, -547, -720?\n\"Answer: -17*f**2 + 14*f - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5449 + -21777\/4. Let n(f) be the first derivative of 0*f**3 + 0*f + 12 - 2*f**2 + c*f**4. Find the second derivative of n(b) wrt b.\nAnswer: 114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-12))\/((-15)\/(-4302)). Let l = h + -484. Let n = 3.94 + -4. Which is greater: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -447\/4 + 111. Is u smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170 = b - 1247. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 7 - 2. Let d be (0 - 0)\/(-1 + r) + -7. Let i(c) = c**2 + 10*c + 9. Calculate i(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/180 + h**4\/24 + h**3\/9 - 3*h**2 - 1. Let k(m) be the second derivative of r(m). Factor k(l).\nAnswer: (l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0*t - 5*t + 4*t) + 2*t + 2*t - 5*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26520411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxrxqqqxzzzqzqdxq. What is prob of sequence dqrx?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222828?\nAnswer: 2, 3, 31, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -856400 to the nearest ten thousand.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t + 11151 + 12609 = 0. Let h = t + -576. Let y(i) = i**3 + i**2 - 4*i. Let o be y(-5). Is o at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 + 271?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j*u**2*w - 2*j*u**2 + 2*j*u*w - 13*j + 100*u**2*w - u**2 + 64*u*w wrt u?\nAnswer: 12*j*w - 4*j + 200*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -q + 3*k, 0 = 2*q - 6*q - k + 63. Let i = q + -12. Suppose 0 = -i*y - b - 13 - 3, 2*b = -y - 5. Sort -4, y, 3 in decreasing order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**4 + w**3 - w**2 - 2*w. Let a(h) = 16*h**4 - 28*h**3 - 64*h**2 - 78*h - 44. Let m(r) = a(r) + 14*o(r). Find p such that m(p) = 0.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = -0.0341608145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -47. What is j in -a*j**4 + 4*j - 10*j**2 - 67 + 42*j**2 - 4*j**3 - 32*j + 73 = 0?\nAnswer: -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664962134 - 7*q - 664962134.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/u**6)**(-49)*((u*(u*u\/(u*u\/(((u\/(((u\/u**3)\/u*u*u*u*u*u*u)\/u*u))\/u)\/u*u)))\/u)**(-1\/25))**7 assuming u is positive.\nAnswer: u**(-2429\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b*b\/((b\/(b*b**1)*b)\/b))\/b*b)*b**23)**(-3\/4) assuming b is positive.\nAnswer: b**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 92699 = -17*i + l, 37094 = 2*i - 4*l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.057 - 0.553. Let a = h + 0.7. Let n = 3.87251 + 0.12749. Sort a, n, -3, -1 in decreasing order.\nAnswer: n, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -10 + 7 + -7 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*c + 2502, w + 7*c = 4*c + 496. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/712 and -7\/445890.\nAnswer: 1783560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 - 3*d**2 + 24*d**2 + 10*d**2.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -18*k + 12. Let g be n(-2). Suppose -10*r = -g + 28. Put r, -33, 5 in descending order.\nAnswer: 5, r, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 78. Let i = y + -73.9. Let o = -1.9 - i. Which is the third biggest value? (a) -0.5 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -20*y**2 + 7*y - 3. Let m be s(1). Let i(n) = n**2 + 2*n - 225. Let l be i(m). Let t(h) = -3*h**3 - h**2. Determine t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 31*o. Let n(b) be the first derivative of -123 - 5\/2*b**2 + 0*b. Give n(l(t)).\nAnswer: -155*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 2*w**2 + w - 1. Let f be l(-2). Suppose t - 11*m - 19 = -5*m, 0 = -t - m + 12. Let o be -2 + (t - 3) + f. Solve 0 = o*p + 1 - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.95 + -0.05. What is the third smallest value in z, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*n**3 - 9*n**3 - 1 - 4*n**3 to the form u + g*n**2 + m*n + p*n**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/6 + 97816*z\/3 - 65211\/2 = 0. What is z?\nAnswer: -195633, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 22*j + 46. Let u be w(-24). Let n = 2 - -1. Let m(q) = 2*q - q**3 - 3*q**n + 1 + 3*q**3. Determine m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 52*l - 7. Is h(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:32 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)\/i)**(8\/11) assuming i is positive.\nAnswer: i**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a - 2*a - 2*a)*(a**2 + 2*a**2 - 5*a**2) + 92*a**3 - 86*a**3 - 517*a**3 in the form u*a**2 + t + z*a**3 + m*a and give z.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + sqrt(112) + 4 - (sqrt(112)*1 - sqrt(112))*1) + -1 - (4 + 2*((sqrt(112) - sqrt(112)*-1) + -4)))**2*-2.\nAnswer: -2148 + 384*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 273 - 192. Suppose -y + 75 = -6*w. Let b be ((-2)\/(-4))\/(2\/(-8)). Put b, -1, w in descending order.\nAnswer: w, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256 plus -199.157676?\nAnswer: -1455.157676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 29b119 (base 14) to base 10\nAnswer: 1451795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2353 and 905.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9346 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*6\/9)\/(8\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -585878?\nAnswer: -585890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -424836 times -6\nAnswer: 2549016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3380100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1183564336.15655 - 4.\nAnswer: -1183564340.15655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g - 5*p + 23 = 0, 2*g = -p + 7. Suppose -5 = -3*z - g*z. Let n be ((-18)\/108)\/((-1)\/((-20)\/(-6))). Is z not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2423 (base 10) to base 9\nAnswer: 3282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*h + 5082 = 165*h. Let l = h + 1693\/2. Are -289 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -30*l + 27*l. Let i be 4 + 0 - (-92)\/(-20)*l. What is the third biggest value in -1\/7, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from leaeo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1020\/135)\/((156\/54)\/13)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -2. Suppose h*w - 39 = 57. Suppose -2*i - 4*k + 27 = -41, -4*i - 5*k = -145. What is the highest common divisor of i and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 + 0*i - 2 + 3*i**2 + i)*(-3*i**3 + 0*i**3 + 5*i**3).\nAnswer: 18*i**5 + 2*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48.4 + -83.4. Which is the second smallest value? (a) 4 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/105? (a) 1 (b) 917 (c) -2\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*o - 95263 = 158*o + 2085*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4 + sqrt(208))**2.\nAnswer: -32*sqrt(13) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5621 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11695694 divided by 1.\nAnswer: 11695694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814211 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2355072 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5708 is divided by 1176.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(192) - -3*sqrt(192)) - (1 + sqrt(2448) + 0)**2.\nAnswer: -2449 - 383*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13\/2549 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289701298 to the nearest integer?\nAnswer: 17021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3028705 divided by -605741.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m = 125*m + 410 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(65))\/sqrt(5))**2*3 - (sqrt(1300) - ((sqrt(1300) - ((-3*sqrt(1300)*-2)**2 + sqrt(1300))) + sqrt(1300))))*-6.\nAnswer: 280566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 - 137?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 260920033?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x. Let j(y) = -y - 4. Let l be j(-6). Suppose -3*z = -l*z - 6. Let v(k) = -2*k**2 + z*k**2 - 5*k**2 - k**2. Calculate w(v(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 3*n**2 - 5*n - 3. Let x be s(-4). Let r be x - (3*2)\/1. Let j = 8 + -7. Sort j, r, 3.\nAnswer: r, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1250*w - 598. Let c(y) = -250*y + 127. Determine -14*c(u) - 3*p(u).\nAnswer: -250*u + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 - 2*h**3 + 2*h**3 + 43 + 8*h**3 - 43 + (-2*h + 2*h - h)*(-2*h**2 + 0*h**2 + h**2) + 0*h + 2*h**3 + 0*h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5*w - m**4*w + 2480*m**3 + 976*m**2*w - 4*m**2 + 4*m wrt m?\nAnswer: -60*m**2*w - 24*m*w + 14880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -42. Let x be (24\/(-8) + (-14)\/(-8))*-4. Let u be (-516)\/(-15) - (-3)\/x. What is the greatest common divisor of n and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.231 + -187.769. Let w = -124 - s. Let t = -51.4 + w. Round t to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x - 3*i = -7*x - 56, i - 12 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -5*s**3\/3 + 17*s**2 - 361*s. Let u(g) = 2*g**2. Determine u(j(b)).\nAnswer: 200*b**2 - 1360*b + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 39. Let s(k) = -k**3 + 3*k**2 + 64*k + 115. Calculate the remainder when s(10) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -27. Which is the second smallest value? (a) w (b) -1 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g - 15*g - 3 + 2*g**3 + g**3. Let k(p) = -6*p**3 + 5*p + 5. Give -3*k(z) - 5*s(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 332?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 - 1 = 0. Suppose m - 1475 = -y*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - 2 - -3 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -767080 - -10?\nAnswer: -767070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 9:33 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*2 + (sqrt(143) - (sqrt(143)*4 - sqrt(143) - sqrt(143))*-6))\/(sqrt(99)\/sqrt(81) - (-5*sqrt(11) - sqrt(11))*4).\nAnswer: 27*sqrt(13)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534333318.\nAnswer: 2, 3, 47, 251, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**26)\/z**(-13))**(-22) assuming z is positive.\nAnswer: z**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12847 - -12843. What is the nearest to -1 in 5, 7, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(2\/7)\/((p**(-6)*p)\/(p**3*p)) assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55)\/(-6) - 7\/42. Let u be (m\/(-6))\/(3\/(-6)). Is ((-2)\/(-6))\/(u\/4041) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -0.3, 0.5 in ascending order.\nAnswer: -76, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w + 183010. Let o(x) = -x - 91504. Let t(p) = -4*m(p) - 10*o(p). Let z be t(0). Round z to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:44 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 12638727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j - 49 + 43*j - 6*j + 9*j wrt j?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x + 2*x + 0*x)*(-26*x**3 - 111*x**3 + 34*x**3) to j*x**4 + f*x**2 + n*x + q*x**3 + m and give j.\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4966019754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*j**2 - 83 + 12*j - 15*j - 4*j + 81 + 7*j.\nAnswer: 44*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 2 + -2 + 0. Suppose -w*i + 0*i = -15. What is the first derivative of 1 + 6 - q**3 - i + 3*q**3 wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 11) to base 2\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-45) - 6\/(-15) - -4854. Suppose -2 = -u, 4*d - 5*u = z + 11916. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19568423 divided by -6\nAnswer: 19568423\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 25. Suppose b - z = 4. Suppose 0 = -b*i + 611 + 748. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -16.1. Let z = p + -14. Let v = -0.3 - -1.3. Which is the nearest to v? (a) z (b) 4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdddddwfdffddfdwjt. What is prob of sequence wfj?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, u: 3}. What is prob of picking 2 u and 2 h?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15207, 29, 1 in increasing order.\nAnswer: 1, 29, 15207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-507\nAnswer: -507.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 8. Let c(z) = 3*z + 9. Let j(u) = u**2 + 12*u + 14. Let q be j(-10). Let x(y) = q*r(y) + 5*c(y). Determine x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5924057 and 79332?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*(j**(-10\/3)*j*j)\/j)\/j*j)\/j)\/j)**(17\/5) assuming j is positive.\nAnswer: j**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -1\/4 - 1\/4*l - 3\/4*l**3 + 5\/4*l**2 = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + (99 - (32 - -33))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-2) + 5 + 6\/(-2). Let v be z*(12\/(-3))\/2. Let y(r) be the second derivative of -r**4\/12 + r**3 - 2*r**2 + r. Determine y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 642 + 478. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*c**2*q**2 + 8*c**2*q - 181110*c**2 - c - 4709959*q**2 + 2*q wrt c?\nAnswer: -14*q**2 + 16*q - 362220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10680 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2161*z**3 - 6*z**2 - 4*z + 6076. Let m(b) = -b**3 + b**2 + b + 11. Let l(a) = -f(a) - 6*m(a). Find the first derivative of l(c) wrt c.\nAnswer: 6501*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (3 + -2 + 28)\/((-120887)\/4836 + 25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282394480 to the power of 1\/2, to the nearest integer?\nAnswer: 16805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6. What is the second biggest value in -2\/3, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + (sqrt(156) + sqrt(156) + (sqrt(156) + 1*sqrt(156))*-2)\/(sqrt(192)*2 + sqrt(192))).\nAnswer: -10 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, -2\/11, -146, 2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (254\/6223)\/(3\/(-84))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/108 + 52\/18)\/(142\/1491)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703926323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4340 + 29780. What are the prime factors of b?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzxh when four letters picked without replacement from hxjhzzhxhxjzzxh?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2520*f - 2589*f + 2967 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2863*h - 2 - 25279*h + 2 - 10681*h.\nAnswer: -38823*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 7*w + 94. Let d be h(7). Let y(l) = -16*l**2 + 17*l + 5. Let z(c) = -7*c**2 + 8*c + 2. Let k(o) = d*y(o) + 9*z(o). Calculate k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125236.\nAnswer: 2, 131, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8322.\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -49. Suppose -274*p - 3*t - 681 = -279*p, -3*t + 7 = -2. Calculate the remainder when p is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029.\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a7 + -3?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2 = -4*b, -b + 4 = 4*b - 3*t. Let n = 5 + -5. What is the second derivative of b*k**2 + 4*k - 6*k + n*k wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 6:56 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -686*t - 1166*t - 1692*t - 711*t + 414*t.\nAnswer: -3841*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 422, 3, -3, 4 in descending order.\nAnswer: 422, 4, 3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2425 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 9*u - 4, 110 = -3*m + 4*u + 114 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*u - 32 = 210*u + 4*d, 0 = 3*d - 9. Calculate the remainder when 182 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 90\/9 + 3\/(-1). Suppose 2*g = 3*b + 110 - o, 4*g + b - 185 = 0. Suppose 43*j + 700 = g*j. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.131 - 0.1310114. Round i to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72105*c - 72097*c = -200 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 0*m + 0*m + 27*m**2 - 29*m**2. Let j(l) = l**2. What is w(j(b))?\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255 or -348?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, b: 4, l: 3, e: 1, d: 1, y: 1}. Give prob of sequence elb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d = 23*d + 198. Let b be 96\/21 + 1 + d\/(-14). Solve -4*s + 16 - b = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 458, -896, -2252, -3610?\n\"Answer: -v**2 - 1351*v + 1810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4618, 18723, 42232, 75145, 117462?\nAnswer: 169183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*k - 2*g**2 + 17*g - 2945*k wrt k.\nAnswer: g**2 - 2945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -28) + (10 - 22) - 45?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aef2 + 1?\nAnswer: aef3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 1. Suppose -7*l + 132 + 78 = 0. Suppose l = 7*n - 2*n. Solve k = z - n*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 62155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 140*n - 2380. Determine a(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n - 0*n + 2*d, -d = 4*n + 5. Suppose 5*q = -5*y + 18 + 52, n = 3*y + q - 36. What is the least common multiple of y and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -38*f**2 + f. Let s(t) = 121774*t. Calculate v(s(q)).\nAnswer: -563498468888*q**2 + 121774*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 176 = 2*n, -5*n + 2*z + 2*z = 486. Let b = n + 222. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 318*y - 936.\nAnswer: -2*(y - 156)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626.\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhh when three letters picked without replacement from {x: 2, h: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 43*o**2 - 216*o - 14. What is the remainder when 1184 is divided by c(6)?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 660.760443 seconds in weeks?\nAnswer: 0.0010925271875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 17*d + 23 + 8)*(-4 + 1 - 2*d**2 + 2) + (-46 - 5*d + 46)*(0*d**2 + 0*d**2 - 13*d**2) in the form p*d**2 + x*d + n + a*d**3 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -409043.\nAnswer: -409042.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = 5*i - 1693 + 1604, 4*j - i - 11 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.2 + -5.1. Is f at least 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1184 - 50929 - 7607 = -730*s + 8348 for s.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2)*15\/(-6). Suppose 2*g + 6 = -4*q + 20, -65 = -i*g - 4*q. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*p + 23. What are the prime factors of (p\/(-5))\/((-6)\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(3\/5))**(-20)\/(r\/(r*r**(5\/3))*r**(-1\/3)))**(-12) assuming r is positive.\nAnswer: r**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131124194?\nAnswer: 2, 65562097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3396?\nAnswer: 16980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10262737*t**6 - t**3 + 6*t**2 - 207395*t - 5?\nAnswer: 1231528440*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/16)\/(2*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25626 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1335 and 45.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7522868893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 13*b + 61*b**3 + 8*b.\nAnswer: 61*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6257 (base 12) in base 5?\nAnswer: 320343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14172 (base 8) to base 3.\nAnswer: 22121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7215)\/481 + (8 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -175861922.48 and -0.2?\nAnswer: 175861922.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:22 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 0 = -3*g + 5*g + b - 9, -x*g - 3*b = 1. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/170*-2*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 6:06 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:13 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5454 less than -388894?\nAnswer: -383440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2055 - 592.\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtoovvvvvvvvhvvx. What is prob of sequence hvx?\nAnswer: 11\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*i + 17*i + 56. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3 + 351324*y**2 - 29532384*y + 620328240 = 0 for y.\nAnswer: -87915, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.388 + -2.388. Sort w, 22, 6, -1\/4.\nAnswer: -1\/4, w, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6143?\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 41492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37792389.\nAnswer: 3, 12597463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-152)\/224*4*6*(-77)\/(-66)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 5. Let i(t) = 2. Let q(g) = 5*i(g) + 2*m(g). Let f(l) = 2*l. Determine q(f(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*z = 625*z + 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179470583?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 14. Let b = -6 + f. Let s be (-8)\/(-3) + b\/(-9). Solve c = -c - s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4448)\/(-72) - (-2)\/9. Suppose x = -4*j + 178. Calculate the remainder when j is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3348\/(-135))\/(2\/(-15)).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 20*d**5 + 725*d**4 - 17390*d**3 + 110935*d**2 - 275610*d + 234360 = 0.\nAnswer: -217\/4, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 4 - -4 - -8. Let u(o) = 2 + 210*o**2 + 12*o - 421*o**2 + 7 + 210*o**2. What is u(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 232*w**3 + w**2 + 2*w - 2. What are the prime factors of u(1)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -119701*t**2 - 2*t + 2. Let b be q(1). Let i = -473501\/4 - b. Let j = -1337 + i. Calculate the common denominator of j and 56\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -161*v**3 - 3*v**2 + v + 2. Let f be x(-1). Suppose -4*y - 2*w + 3*w + f = 0, -3*w = -2*y + 87. What is the remainder when 114 is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 46566*a + 33194931.\nAnswer: 3*(a + 749)*(a + 14773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -499, -508, -535, -586, -667, -784, -943, -1150?\n\"Answer: -d**3 - 3*d**2 + 7*d - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5706*s + 5737*s = 155 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24212 + 47698. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-1785))\/(-6 + 42\/12 + 2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 - -605. Let j = d - 476. What is the closest to -4 in -1, 0.1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 + 0. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59278 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**4\/5 + 1026*k**3\/5 - 28779*k**2\/5 + 43740*k - 190944\/5 = 0.\nAnswer: 1, 12, 17, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2\/7 - 39*y\/7 + 690\/7 = 0 for y.\nAnswer: -23, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 1. Suppose -45*a - 27 = -18*a. Give z(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 25429*i - 1. Let f(k) = 7*k**2. What is f(a(l))?\nAnswer: 4526438287*l**2 - 356006*l + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 - 3889*h**2 + 192868*h - 370172 = 0. Calculate h.\nAnswer: -3938, 2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -432, -434, -438, -444, -452?\n\"Answer: -d**2 + d - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-6) - (-2)\/3. Let z(b) = 2*b**3 - v + 7*b**2 - 5*b**3 - b + 2*b**3. What is the tens digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804*w + 812*w - 1622*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + s + 2*s + 544 = 0, 0 = -5*x - s + 552. Let q(l) = 1 + 1 + l - 4 + l. Let o be q(6). What is the greatest common factor of o and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u - 10*u - 3*u**3 - 9*u**2 - 1 - 3 + 1.\nAnswer: -3*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/17 + 230*u**4\/17 + 6000*u**3\/17 - 36000*u**2\/17.\nAnswer: 2*u**2*(u - 5)*(u + 60)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 463734.\nAnswer: 463734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -17. Suppose 2*a - 3*a + 4 = t. Let s be (-10)\/a*2\/(-1). Solve s - 4 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 8*s + 4 = 0. Let f be (0 - s) + (-6)\/(-2) + -37. Let v be f\/(-3) - (-9)\/27. Solve -4*n - 5*i = -0*i + v, -2*n - 7 = i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 235035193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/114 and -89\/6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4252 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16810595017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/((-33)\/(-6) + -4). Suppose -3*j + 2*x = -6, j + o*x = -0 + 16. Solve -9 = -s + j*s - 3*z, 2*s - z + 8 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*((o*o\/o**(-14))\/o)\/o*o)\/o*o*o))**(-47) assuming o is positive.\nAnswer: o**752","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, 1 v, and 1 f when four letters picked without replacement from fqyfovqqyvevvq?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(49)\/sqrt(7)*-6 + -5)**2 - (sqrt(63)\/(sqrt(99)\/(sqrt(99)\/sqrt(9))) + 2).\nAnswer: 23*sqrt(7) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + 0.64. What is the nearest to 0 in 0.7, -0.1, -2\/5, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7167 divided by 137?\nAnswer: 7167\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964 is divided by 234.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 c, and 1 z when four letters picked without replacement from {v: 1, z: 1, c: 2, j: 3, p: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 31350875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89249 divided by 7.\nAnswer: -89249\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.068301406 and 1?\nAnswer: 1.068301406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 26*l. Let n(m) = -143*m**2 + 65*m + 130. Let b(v) = 13*v**2 - 6*v - 12. Let i(j) = -65*b(j) - 6*n(j). Calculate i(k(h)).\nAnswer: 8788*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfffntfnetntenffffef. What is prob of sequence ft?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1750719 divided by -42.\nAnswer: -583573\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-128)\/448 - ((-3)\/(4914\/(-3144)) + 72\/(-27)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 7. Let a = f + -8. Let c(r) = -r**2 - 5*r + 4. Let h be c(-5). Sort h, a, -5 in decreasing order.\nAnswer: h, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/3 - 16*s**2\/3 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 45530137, 45530139, 45530141, 45530143, 45530145, 45530147?\n\"Answer: 2*w + 45530135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3372381 and 55.\nAnswer: -185480955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 1 = -11. Let w be (-2)\/((5 - 3) + y + -5). Solve -w*s - 1 = -11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 4*s - 7\/12*s**4 + 0*s**3 + 0 + 9\/2*s**2. Find the first derivative of l(p) wrt p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - (28 - 32 - 23 - -55)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 5\/4 (c) -5 (d) 12\/857 (e) 0.02 (f) -4 (g) -0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a factor of 12703218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixhihihxhttpjhi. Give prob of picking 1 j, 2 t, and 1 p.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) -0.5 (c) 0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + h**2 - h - 4. Calculate the least common multiple of x(-2) and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -29*j**6\/10 - 21*j**2\/2 + j - 17. Differentiate r(b) with respect to b.\nAnswer: -348*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5653.964507253 - 1.974529253. Let j = p - 5652. Let v = 0.01 + j. Round v to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0 + 0 - 2*a. Let v(c) = c**2 + 1 - 1 + c**2. Calculate o(v(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 10, 2*m - 7*m + 10 = 5*j. Solve 10*n - 5*n + 19 = 3*y, m = 3*n + 3*y + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382348*d**3 + 764706*d**3 - 382359*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 116220, 2 in descending order.\nAnswer: 116220, 39, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from {u: 8, g: 2, v: 1, b: 4, t: 4, f: 1}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*v - 531 + 163 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*y = -3, 5*v + 0*y + y - 11 = 0. Let u(c) = -2 + 3 - 6 + 2 + 8*c**v + 6*c + c**3. Calculate u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18143 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j - 215 + 61 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111496 + 0 - 3900\/(-260) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + 0 - (-68)\/4 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375d (base 15) in base 4?\nAnswer: -2320030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 1:33 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461073223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/12*280\/42. Suppose -2*p + v = f, -p + 5*p - 5 = -v. Solve -5*n = 2*x - 3*x - 17, p = 3*x + 2*n - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1 = 5*w, 3 + 6 = s + 3*w. Suppose -12 - s = 6*n. What is the units digit of 3 - (-5 + n + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/140 and -87\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + 3\/(2*(-12)\/(-16)). Let v = 19 - o. Calculate the smallest common multiple of v and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - k - 7 = 2*a, k - 5 = -5*a. Factor 11*z**3 + 46*z**4 - z**3 - 47*z**4 - 15*z**a - 10*z**2.\nAnswer: -z**2*(z - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623854 (base 10) to base 15.\nAnswer: c4ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-105))\/((-391482)\/105399).\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2112 + -2400?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1820585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -655 + 420. Let z = y + 252. What is the remainder when 116 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 1. Let d(a) be the second derivative of a**4\/6 - a**3 + 3*a**2 + 1123*a + 1. Calculate -5*b(t) - d(t).\nAnswer: -2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 899744, 899749, 899756, 899765, 899776, 899789, 899804?\n\"Answer: y**2 + 2*y + 899741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*6*(-5)\/20. Which is the closest to 0? (a) p (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.868578ml?\nAnswer: 0.009868578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and 8735 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-4*r + 3*r + 2*r) + 2*r + 2*r - 6*r + (-6 + 2 + 3)*(-3*r + 4*r - 3*r) + 0*r + 0*r + 2*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.224 - -0.2177. Let v = -0.0196 + d. What is v rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.02 (c) 3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 67, 103, 175, 289, 451, 667, 943, 1285?\n\"Answer: c**3 + 12*c**2 - 7*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -23389247*0.5\nAnswer: -11694623.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 120*q**2 - 3*q - 3. Let c = 64 - 65. Let g be r(c). What is the greatest common divisor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202011200 + 101221002?\nAnswer: 1011002202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 2. What is the highest common factor of 210 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45 + 0.25. Which is the biggest value? (a) l (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, 4, -2, -1 in increasing order.\nAnswer: -10, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2. Let t(q) = q - 8. Let u(g) = 12*g + 43. Let a(y) = -2*t(y) - u(y). Give j(a(r)).\nAnswer: 588*r**2 + 2268*r + 2187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 322341623\/979 - 329256. Let r be (-2)\/(-4)*-1*2. Which is greater: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*m - 25, 2*m - 7*m = -3*g - 25. Solve 8*x = -i + 3*x - 12, 6 = -m*i + 2*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/8*(-14)\/49. Let v = -0.1534 - 0.0466. Put 2\/13, v, m in ascending order.\nAnswer: v, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12155447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*u)*(2*u - 3 + 3) - 6*u**2 + 12 - 12)*(-5*u - 5*u + 3*u)*(-10 - 11 + 11).\nAnswer: -700*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (369*b - 5 - 33*b + 3)*(0*b**2 + 0*b**2 + 2*b**2).\nAnswer: 672*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5*o**4 - 15*o**4 - 4*o**2 + 5*o**2 - 3*o**3 - 13*o**4 - 2*o**2 to k*o**3 + j*o + i*o**4 + q + y*o**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 19. Suppose m - 21 = 4*p, -2*p - 2 - 3 = 5*m. What is the lowest common multiple of x(p) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 - 6*b - 6. Calculate y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -619598 divided by 44257.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4*(-27 + 21) + 2. Is 53 a factor of 948 + p + (3 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56667482 + 0.1588?\nAnswer: -56667481.8412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 965*p - 742 = 951*p. Calculate the highest common factor of p and 1537.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -4, -8, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 + 0 = 0. Let k be (-1)\/(3\/t - 1). Let o be (-8)\/(-40) - (-1 - (-22)\/10). Sort o, -4, k in decreasing order.\nAnswer: o, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 18. Let a be l(6). Which is smaller: a or -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.06 (b) 1\/10 (c) 3442.1972\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 5*x + 3. Let y be t(0). Solve -5*k - 5*i + 0*i - 45 = 0, 0 = y*k - 5*i - 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 27. Suppose 125 = 16*i + w*i. Solve -5 = 5*l + i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39, 38, 37, 36, 35, 34?\n\"Answer: -d + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -17. Suppose 8*y - 35 = 3*y. Let m be y\/15 - 4\/6. Which is the third smallest value? (a) 0.5 (b) q (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 147, 149, 161, 189, 239, 317?\n\"Answer: z**3 - z**2 - 2*z + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11966)\/(-1240) - (-5)\/(-4) and (1\/7)\/(19\/(-9) - -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 1, j: 1, t: 8, u: 6}. Give prob of picking 2 t and 1 v.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4235630772 - -4235630579.6850459. Let t = z + 0.3006541. Let p = t + 192. What is p rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**3\/a)\/a)**(1\/2))**(27\/4)*(a**(-2\/3)\/a*a\/(a\/(a\/(a*a**(1\/4)*a))))**(-10\/3) assuming a is positive.\nAnswer: a**(943\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x**2. Let o(u) = u**2 + 24*u - 45. Let k be o(-26). Let z(n) = 13*n. Let p(m) = -4*m. Let v(w) = k*p(w) + 2*z(w). What is h(v(c))?\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqs when three letters picked without replacement from ttsssttqqssqs.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z + 0*z)*(-921*z**2 + 131*z**2 + 1 + 0).\nAnswer: -2370*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17930 + -17937. Which is the smallest value? (a) -60 (b) j (c) 0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14 - 27\/(270\/(-7040)). What is the greatest common divisor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 133 (b) -1\/2 (c) -4 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*q - 123185, 0 = -113*q + 108*q + 4*z + 123182. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2118182, 8472737, 19063662, 33890957?\nAnswer: 52954622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -284.6 + 285. Is -12\/11 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -4, 68, 2, 0.\nAnswer: -4, 0, 2, 3, 9, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d**5 - 9*d**4 + 1047*d wrt d?\nAnswer: -140*d**3 - 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1769, 3719, 5621, 7451, 9185, 10799?\n\"Answer: -4*u**3 + 1978*u - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3827\/5 - 762. Let w = -1049\/6 + 174. Find the common denominator of l and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -532*o**2*z**2 + 236*o**2 - 3*o*z**5 + z wrt z.\nAnswer: -1064*o**2 - 60*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/(-12)*-4*(-5)\/30.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a)**26*a**1*a*a\/a**3*a*a*a\/a**(1\/6)*a\/(a*a**(-1\/9)*a)*(a*a\/(a*(a**(2\/7)\/a)\/a))\/((a**4\/a)\/a) assuming a is positive.\nAnswer: a**(-2941\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)\/i)\/(i*i\/(i*i*i**(-2\/23)*i*i)) assuming i is positive.\nAnswer: i**(170\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078245053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-10) + 2 + 9\/6. Suppose q = -0*t + 5*t + a, 2 = 3*q - 5*t. Let v be q*(1 + -1) + 4 + -4. Which is greater: v or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:23 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7401 + 7412. Solve -39*r = m*r + 100 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 548 - 1054. Let l be (1 - 4)\/(15\/2487). Let j = h - l. Calculate the common denominator of -6 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 18 = 2*d + 3*f, d - 5*f = 2. Sort -5, d, 1 in increasing order.\nAnswer: d, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172 - 700*t + 22*t**3 - 1172 + 700*t.\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*g + 2925*g - 55226 - 12043 = -508*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1077*p + 1179*p - 889 - 778 = 3637 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/(-16)*(-128)\/10. Suppose 0 = i - 5*i + a. Calculate the least common multiple of 13 and i.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(-128)\/4608?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let f(i) = i + i + 0*i. Determine y(f(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1333 = -10*d + 437. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - -2. Let s = 0 + u. Let v = 0.67 - 0.27. Sort v, s, -3\/4 in decreasing order.\nAnswer: v, s, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -495, -496, -497, -498, -499?\n\"Answer: -y - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 13*k + 0*g - 6 = 2*g, 2*k + 3*g + 2 - 13 = 4*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 11. Suppose z = -2*d + 5 - 1. What is the smallest common multiple of 5 and 7 + 2\/(d\/3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooososoo. What is prob of picking 3 o and 1 s?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.788938g to tonnes.\nAnswer: 0.000000788938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2 - 1*-7). Let n be (4 - 1)\/(j\/(-12)). What is the third derivative of n*p**4 + 0*p**4 - p**2 - 2*p**4 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 18*i - 72. Suppose 0 = -79*j + 635 - 240. Give p(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80.61 - -0.39. Let i = -83 + k. Is -2 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -5, -2, -6, 0.58?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -201, -4, -3 in decreasing order.\nAnswer: -2\/3, -3, -4, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 84.37182 grams?\nAnswer: 0.00008437182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 6049\nAnswer: -5\/6049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11998534 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 9*g**2. Let h be w(-9). Let l be (0 - 8 - -2)*-2. Suppose -m = -h*m - l. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 21 - 8*p**3 + 0*p**2 - 3*p - 18 - 2*p**2 as c*p + n*p**2 + q*p**3 + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*g + 79*g - 6237. Solve -g*z + 132 = -11*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4 - 377*c**6 + c**4 + 404*c**6 - 317*c**6 + 26*c**2 - 4*c wrt c?\nAnswer: -34800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*85\/(-340).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-6) + ((-92)\/12 - -7). Let y be ((-4)\/10)\/(-5 - (-84)\/20). Which is the closest to 0.1? (a) y (b) 5 (c) 3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-308)\/11)\/14)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p**4 - 68385*p**3 + 234168*p**2 + 156144*p = 0 for p.\nAnswer: -4\/7, 0, 4, 3253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (7 - (10 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 604 (base 12) to base 11\nAnswer: 71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 596817378 to the power of 1\/3, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 - 6*v + 6. Let z(x) = -2*x**2 - 3*x + 3. Let i(h) = 3*a(h) - 7*z(h). Let q = 3 - 1. Determine i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89515.03 centuries to decades.\nAnswer: 895150.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by 8\nAnswer: 221\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2877592 greater than or equal to -2877584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 49191.8 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 12 - 395*j + 301*j.\nAnswer: -94*j + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*d + 7209, 3*d - w = -d - 7203. What is d rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 216\/(-12)*-1 + -15. Determine i, given that 864\/5*i - 216\/5*i**2 - 1\/5*i**4 + 24\/5*i**h - 1296\/5 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 49, -4, -14, 71.\nAnswer: -14, -5, -4, 0, 49, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 + 2528. Let d = 2361.98939 - m. What is d rounded to 4 decimal places?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.44 (b) -1.8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8665 divided by -142\nAnswer: 8665\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-21) - (-16)\/7. Suppose 138 = 4*z - 2*i, h*i = 3*z - 34 - 72. Let l = z - 11. What is the highest common factor of 63 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1 + 0 + -2. Let r = 1 - m. Let d be (-6)\/11 - r\/12. Which is the biggest value? (a) -5 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 8. Let k = -0.1 + -5.9. Let d = 6 + k. What is the second smallest value in 1, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(2\/4*(-124)\/(-62)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232.1 + 248. Let i = s + 1.1. Let d = i - 16.99. What is d rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20955\/(-30734)*22\/(-430)?\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 94 - 74 = 0. Let n(i) = -40*i - 34*i + b*i. Let d(u) = -u. What is n(d(v))?\nAnswer: 50*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1698*h*t**5 + 173*h*t**3 + 2*h*t**2 - 19*h*t + 1559*h - 6*t**3 - 2*t**2 + 5 wrt t.\nAnswer: 101880*h*t**2 + 1038*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 13 - ((5 - 15) + (-527 - -592))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285 and 15.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o**2. Let u(p) = 15*p**2. Give u(f(v)).\nAnswer: 2160*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.85 - 0.15. Let x = -8 - m. Which is the nearest to -1\/3? (a) -1 (b) -1\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3594654517 to the power of 1\/3, to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, -0.0353?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2821414*f**2 - 16*f + 422967160?\nAnswer: 5642828*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k**2 + 2*k - 77. Let o be i(0). Let q = o + 231. Calculate the greatest common divisor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5925)\/3160)\/(15\/(-36))*92\/9?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-20))\/((-27)\/10098*-17).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -792 or -4\/3?\nAnswer: -792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 - 7*m**2 + 9*m**2 + (0*m + 4*m - 2*m)*(3 - 3 + m) to the form f*m + t + s*m**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41170270 to the nearest integer?\nAnswer: 6416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.06 and -17916198.\nAnswer: -17916198.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2263898279 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -5*m**2\/2 + 9*m - 9. What is the first derivative of f(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218954381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -134000*d**3 - d**2 + 2*d - 1. Let k be n(1). Round k to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**1)*s\/s**(3\/4)*(s\/s**8)\/(s\/(s\/s**3)))**(1\/46) assuming s is positive.\nAnswer: s**(-43\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 347936 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - 67*t + 2625 = -71*t - 75*t for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17426 - -4?\nAnswer: 1742a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -5. Suppose -32 = y*s - 222. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 3, 13, 247, -1, -3 in decreasing order.\nAnswer: 247, 13, 3, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -342 - -4444\/13. Let z = 150 + -150. What is the second smallest value in f, z, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 15.954. Let p = 0.168 - 0.14. Let t = p - z. What is t rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/80 and 81\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Suppose -2*w + 2*u - 84 = 32, 2*w = -m*u - 104. Let x = -38 - w. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/10)\/((-144)\/(-120)))\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5754*p - 5765*p + 2574 = 0. Suppose -5*a = -54 + 9. What is the greatest common factor of a and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**11)\/t*t**(-9)*(t*t\/(t**(2\/5)*t*t)*t*t)**(-26) assuming t is positive.\nAnswer: t**(-198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10673726 to the power of 1\/2, to the nearest integer?\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.62, -2.556, 0.08?\nAnswer: -2.556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8164 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*166900.\nAnswer: 18359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 10. Let h(k) = 4*k + 10. Let r(j) = -3*a(j) - 4*h(j). Let c be r(-12). Sort 5, c, -3.\nAnswer: -3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -4.1, -1\/19?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61499, 61511, 61537, 61583, 61655, 61759, 61901?\n\"Answer: d**3 + d**2 + 2*d + 61495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -107820.\nAnswer: 1\/21564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-1)\/((-1)\/(-3)). Let a(y) be the second derivative of y**5\/20 + y**4\/6 + y**3\/3 + y**2 + y - 45. Determine a(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j. Let z = -4 + 6. Suppose 5*d = 37 - z. Solve -5*m + 2 - d = j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/60*(97 + -95) - (586\/(-10))\/1\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llzl. What is prob of picking 1 z and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230597 is divided by 1302?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207*u + 1 + 310*u - 597*u)*(-2*u + 0*u + 4*u)*(-2 + 2 - 2).\nAnswer: 320*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*j + 520 = 245*j - 242*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202 = -3*v - u, 0 = -4*u + 5 - 13. What is the greatest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 35*h - 163. Let f be n(7). Solve -f = -2*o - 9*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/85 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3600, 3633, 3666?\n\"Answer: 33*z + 3567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87873*p - 87710*p - 2*p**3 + 21 - 6 to r*p**3 + i*p**2 + d*p + c and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 57. Let y = b - 1. Solve 3*c + 6 = -4*n, -4*c - y = -n - 8*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 93 in 128, -1\/6, 1?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4 = -j + 17, -4*j = 2*c + 6. Suppose 2*m - 2*n = n + 30, -5*m = -c*n - 80. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 316, 745, 1290, 1951, 2728?\n\"Answer: 58*n**2 + 255*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 711484.0485 + -711644. Let l = -160 - b. Let a = l + 0.022. Round a to three dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 19*d - 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101101011010000 (base 2) in base 7?\nAnswer: -1211625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) + 2268\/135. Suppose -f + 2 = -5*u. Solve u*d = 7*d - c - 24, -45 = -5*d + 5*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15811, 126270, 426087, 1009942, 1972515, 3408486, 5412535, 8079342?\n\"Answer: 15780*r**3 - r**2 + 2*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 385 + 105. Calculate the greatest common divisor of h and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12707 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*k, -k = -n - 0*n. Suppose 5*b - 19 - 6 = n. Suppose -25 = -5*a + b*v, 0*a - 3*v = 3*a - 33. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 3, -5, -32 in decreasing order.\nAnswer: 3, 2, -4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c + q, -q + 9 = 3*c + 4*q. Solve -c*k - 2*k - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923046, -923044, -923040, -923034, -923026, -923016?\nAnswer: -923004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 7}. What is prob of sequence ook?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c - 40. Let v(r) = -13*r - 62. Let y(t) = 8*m(t) - 5*v(t). Calculate y(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 4, u: 3}. Give prob of picking 2 u and 1 f.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147027378 to the nearest integer?\nAnswer: 12125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 36 + (1 - 3). What is the greatest common factor of n and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 + 86*v**2 - 170*v**2 as s*v**2 + k*v + g and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27468392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 11) to base 8.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = 20*w - 29*w. Put w, 1, 3 in ascending order.\nAnswer: 1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13364977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -3 + (-1 - 1). Let q(u) = -u**3 - 3*u**2 + 17*u + 14. What is the units digit of q(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -354, -700, -1048, -1404, -1774, -2164, -2580, -3028?\nAnswer: -3514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 14\/13, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 7*g**2 + 4*g - 30. Let r be h(-5). Let p = 0.1 - 1.1. Suppose -5*b + 52 = 37. What is the nearest to 2 in r, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*a + 442*a = -1861 + 481 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - 2. Let k = -18 - l. What is the units digit of k\/(-10)*(60 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + 2.7. Let b = -1 + f. Let z = 19\/10 - 7\/5. What is the nearest to b in -2\/7, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35904 and 1848.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = -3*u, 33 = 7*t - 2*t - 2*u. Suppose -5*z + 225 = t*d, -60 = -2*z - 3*d + 7*d. Calculate the greatest common divisor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2138*d + 222*d = -40120 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1708 > -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/71227960 and -73\/764864.\nAnswer: 569823680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 0.4, 4, 0 in descending order.\nAnswer: 40, 4, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -385749 + -403251. Round f to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 6*z + 2. Let l(n) = n**2 + 5*n + 1. Let f(p) = -6*l(p) - 5*o(p). Factor f(w).\nAnswer: 4*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/7722 and 53\/1144.\nAnswer: 30888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 324 + -271. Calculate the greatest common divisor of 53 and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -735556 + 1365486. What is i rounded to the nearest one thousand?\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(128) + sqrt(128) + (sqrt(128) + 0 - sqrt(128))*-4)*-4 + -2 + 5)**2.\nAnswer: -3648*sqrt(2) + 18793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -29418214427346?\nAnswer: 29418214427341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4746, 2, -3\/5 in ascending order.\nAnswer: -4746, -3\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 10*s + 54. Differentiate w**2 - 30 - 3*w**2 + w**2 - 16*w + s wrt w.\nAnswer: -2*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17.38 and -371.\nAnswer: -388.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*n**3 + 5*n**6 + 22*n**3 + 6*n**6 - 2*n**2 wrt n?\nAnswer: 1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.098784 * 1.71\nAnswer: -0.16892064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -11*l - 14. Let j = -0.1 - 0.1. What is the closest to l in j, -2\/13, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -4\/5, -2\/37, -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 948307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, -388\/669, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6*l = l + 7, j - 2*l = -4. What is the closest to 0.2 in -2, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46010\/159 - 868\/3. Let c(a) = -2*a + 27. Let k be c(13). Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297456739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2876470, -2876471, -2876472?\n\"Answer: -b - 2876469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 267 - 192. Let r = 757 + -751. What is the highest common divisor of r and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 12*u**2 - 3*u - 2. What is the remainder when 66 is divided by g(-12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 minutes before 6:34 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 183768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 27*t - 79. Let c be d(7). What is the greatest common factor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (297 - 299)\/((-2)\/602999) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01406103 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 188311.3 to the nearest one hundred.\nAnswer: 188300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-6)*21\/(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 + 2*f. Let d(c) = 12638 + 4*c - 12767 + 7*c - c**2 + 2*c**2. Let t be d(-18). Give h(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/6 - (-6)\/(-9). Let n = -148 + 138. Let t be (-15)\/(-95)*n\/(-15). Which is the nearest to 1\/3? (a) 0 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1116 and 122109?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 1, d: 1, z: 1, n: 2, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1005 and -52\/15.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30042 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**5 - 5*m**4 - 4974*m**3 + 2*m**2 + 12891*m + 2 wrt m?\nAnswer: -180*m**2 - 120*m - 29844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54414 is divided by 291.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001810297881 rounded to seven dps?\nAnswer: 0.0018103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(495\/36)\/5*-2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1*3)\/(sqrt(9) - (sqrt(1296)*-2 + sqrt(1296) + sqrt(1296))) + (sqrt(130)*-4*-1)\/(sqrt(1210)*2))**2.\nAnswer: 12493\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 0*t**3 - 2*t**3 + (2*t - 3*t - t)*(2*t**2 + t**2 - 2*t**2) + 68*t**3 + 3077*t**2 - 3077*t**2)*(-3 - 1 - 2).\nAnswer: -402*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bahhhhhbbb. Give prob of sequence hbh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 3*j + j + 2*j - 2*j**2 - 6*j.\nAnswer: -2*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q + 11. Let t(f) = -20*f - 33. Let o(b) = 17*n(b) + 6*t(b). Let z(w) = -2. Suppose 2*l + 2*c + 35 = 5*l, 5*c = -5. What is l*z(j) - 2*o(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/10 + 21\/6. Let z be k*(1 - 0) - 6300\/(-100). Calculate the highest common factor of 39 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 4}. What is prob of sequence nnne?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1073 + 1252 = 75*v. Calculate the remainder when 180 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66755, 533507, 1800405, 4267523, 8334935, 14402715, 22870937, 34139675?\nAnswer: 48609003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a. Let j be (-169)\/(-13) - (a - -1). Suppose 5*t - 2*t - j = 0. Solve 0*o = -t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6330 - 11340 = -30*m. Find i, given that m*i - 103*i**3 - 15 - 200*i**2 + 23*i**3 - 474*i = 0.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/18 - (-9)\/(-2). Let h(f) = 3*f + 10. Let c be h(p). Is 1 - -3 - 606\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*z = -8, 0 = -k + 3*z - 1. Let t(o) = -2*o**2 - 5*o - 2*o**k - 3 + 3*o**2. Let s be t(-3). Solve 2*q - 3*d + 13 = s*q, -17 = -4*q - 5*d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -1 (c) 2 (d) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 45953 (base 16) to base 9\nAnswer: 473858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2559*h**3*u**4*v - 51*h**3*u**2*v + 7*h**2*u + h**2*v + 3*u**4 wrt u.\nAnswer: 61416*h**3*u*v + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*m + 52, 0*m + m + 1 = 0. Let b(o) = -o**3 + 2*o**2 + 2*o. What is the smallest common multiple of q and b(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -108*i + 97*i. What is the third derivative of 18*d + 286*d**3 + 2*d**2 - 286*d**3 + 26*d**i wrt d?\nAnswer: 1560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0424 + 5.7024. Let p = i - -0.34. Which is the nearest to 2? (a) p (b) 3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 8*m = 0, -m = -j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = -5*m, 2*f = 4*m + 3*f + 20. Let i(a) = a + 2. Let y(q) = 1 + 3 - 6 - q. Determine m*y(r) - 5*i(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 20*g. Let v = -3004 + 3037. What is the remainder when v is divided by o(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18222828739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/4632 and 61\/295864.\nAnswer: 171305256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-88)*(-1326)\/1989.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -32*b + 1. Let r be c(-3). Let v = -54 + r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 7:28 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303617*i**2*v*w**2 + 124021818*i**2*w**2 - 53*v*w**2 + w**2 wrt v?\nAnswer: 303617*i**2*w**2 - 53*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5090 - -5127. What is the remainder when 1846 is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 3*j**2 + 4. Suppose 4*c + 0*c = 0. What is the smallest common multiple of 17 and r(c)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.943556408 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012973 rounded to 7 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9835 is divided by 3327.\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 4*h, 14 = 5*p - 2*h. Let b be p\/6 + (-1)\/(6\/(-92)). Let a(v) = 43*v - 15. Is a(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, c: 5, p: 1, q: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-5)\/((-20)\/12). Find the third derivative of -6*q**4 - 5*q**r - 3*q**2 + 14*q**4 wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -16\/967, -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11302 + 1011?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 30331*n + 30334*n - 17, 5*w - 5*n = -0*w - 35 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - 0 - (-8)\/(-4). Suppose 2*t - 24*t = -88. Suppose 4*a - 4 = -q*j + j, -5*j - t = 2*a. Solve 5 = 5*c + a*w, -3*c - 4*w = c - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2\/2 - 2. Let h be k(1). Let m(u) = 201*u**3 - u. Let a be m(h). What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2047967 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 4572*p - 46 - 45.\nAnswer: 4572*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.9 + 9. Let y = 50 - 52. Let f be (-1)\/(-1) + y + 5\/3. Which is the nearest to f? (a) 2 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.4972658g?\nAnswer: 0.0000004972658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 521.000008286 - 521. What is y rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 238. Calculate the remainder when 476 is divided by r(20).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9 - 16 - 2 - 2 + 2 + (0 + 3 - 1)*(-3 - 1 + 5) + 0 + 0 + 2)*(x - 2*x + 3*x).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 8:53 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + -2. Let a = f + 6.7. What is the second biggest value in a, -5\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - b. Suppose -m + 0*m - 9 = b. What is the units digit of (-1)\/3 - 48\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 156.12.\nAnswer: 4527.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -342143\/32844 + 3\/5474. Let w = 25\/33916 - 712388797\/237412. Let d = -2993 - w. Find the common denominator of d and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26749850 divided by -2525\nAnswer: 10594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 11*r**3 - 15*r**3 - r**2 + 14*r**3 - 2*r**4 as o*r**2 + a*r + k + z*r**3 + y*r**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*b**3*g - b**3 - 22*b**2*g + 2*b**2 + 2*b*g + 225*b - 3*g wrt b.\nAnswer: 30*b*g - 6*b - 44*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2 - 2. What are the prime factors of 85\/(-10)*(-6 - f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197105 is divided by 98547?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15868589 = 20*v + 37727411. What is v rounded to the nearest 10000?\nAnswer: -2680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Let s = b + 4. Let t(p) = -p**3 + 5*p**2 + 5*p + 7. Let j be t(6). What is the closest to j in -4, -3\/7, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:47 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u + 1. Let v be f(-7). Let b be (2 - 10) + 164\/123*78\/(-1). Which is bigger: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + 0*r**3 + 225 - 3*r - 228 - r**3 + 0*r**2. Let n(p) = p**3 + p**2 + p + 1. Let c = 5 - 3. Determine c*t(z) + 6*n(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 207*s**3\/7 + 6*s**2\/7 = 0. What is s?\nAnswer: -2\/69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84485)\/277 - -269)*3\/4*1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -324558875*g + 509371658?\nAnswer: -324558875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*5*(-4)\/10. What are the prime factors of 14 - (2 + (-3 - s))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75.09946 litres?\nAnswer: 75099.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/3 + n**2\/2 + 12*n. Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5\/6 (b) 3 (c) -13 (d) -2\/5 (e) -0.3 (f) 1\/3506\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from {d: 1, r: 1, v: 1, o: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a + 16496 - 2287. Factor 5*y + a*y**3 + 4*y - 1094*y**3 + 0*y.\nAnswer: -y*(y - 3)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 7 - 51 = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11137 is divided by 1520?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*a**3 - 22*a**3 - 6 - 13*a**3 + 3*a - 3 + 8 as u*a**3 + k + w*a**2 + c*a and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3*15.9\nAnswer: -47.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*g**3 + 331*g**3 - 166*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -2, 4?\n\"Answer: 6*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3731566069 a multiple of 4477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -69, 842820.\nAnswer: -69, 2, 842820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-38)\/(-20) + 2\/(-55)*11. Let i = -1.8 + 2. What is the nearest to 19 in b, 0, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79790699*q**2 + 79790699*q**2 + 52*q**3.\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 12) in base 5?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**7\/168 + n**6\/120 + n**5\/80 - n**4\/48 + 21*n. Let l(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 4*n**2 + 47*n**3 - 5*n**2 + 144*n.\nAnswer: 47*n**3 - 2*n**2 + 144*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*v - 50, -70 = 382844*v - 382846*v + 10*q for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -12. Let o = -5.6216167 + -0.3783929. Let l = u - o. Round l to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -237*r - 110. Let g(f) = -10*f. Determine g(v(z)).\nAnswer: 2370*z + 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l - 4. Suppose 2 = 2*g - 6*b + 4*b, -b = 3*g + 1. Give v(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 11528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 4*t - 0*o, 3*o = -5*t - 1. Let u be -45*t + -2 - 0. Let f = -37 - u. Calculate the remainder when 38 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 2, o: 1, y: 2}. What is prob of picking 1 v and 1 o?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**4\/8 - 3*m**3\/2 + 230*m**2. Let o(y) = 4*y - 14. Let h = 82 - 74. Calculate h*f(z) - 5*o(z).\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387781?\nAnswer: 387781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {d: 7, q: 2, m: 3, r: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 383 = -315. What is the remainder when 236 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/50589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344 by 4.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114937, 229811, 344665, 459493, 574289?\nAnswer: 689047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*g - 54, g - 39 = -2*q - 1. Solve -11*z + j = -15*z + 8, 0 = z + 5*j + q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*a - 227*a - 226*a - 218*a - 217*a.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135 + 141 - (-2 - 1)) + 1 + 0 + 79?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Suppose -q*d = -d. Suppose 3*c = -d*c + 9. Is c >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1776 + 277?\nAnswer: -1477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.7. Let k = 0.1 - 0. Let o = b - k. What is the second biggest value in o, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 11153.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3464 divide 175209120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.08 + 99. Sort -2\/9, -1\/5, v.\nAnswer: -2\/9, -1\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18177 by 6059.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(sqrt(20)\/sqrt(4))**2 + sqrt(5) + sqrt(45) + 2 + sqrt(5)) - (sqrt(5760) - sqrt(5760)*-3)\/(sqrt(200)*-5).\nAnswer: 548*sqrt(5)\/25 + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16075689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -537.6, 4, 412 in ascending order.\nAnswer: -537.6, 4, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 222228560 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: Factor 1\/7*l**3 + 0*l + 0 + 2\/7*l**2.\nAnswer: l**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14485?\nAnswer: 5, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l. Let q be 0\/(-2 + 6) - 2. Sort q, 4, l.\nAnswer: q, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4 + (-35)\/7) + (-144)\/96?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 123303, 972933, 3279073, 7769979, 15173907, 26219113, 41633853?\n\"Answer: 121376*j**3 - j**2 + j + 1927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -1 + 7*z - 3*z - 3*z. Let w be 3 + (-2*2 - -2). Let m(f) = -46*f + 80. Let l(g) = 9*g - 15. Let s(i) = -11*l(i) - 2*m(i). Calculate w*s(d) + 6*x(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 359 or 1121564\/3129?\nAnswer: 1121564\/3129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 21. Let j be 4 - 2 - (-4 + 1). Suppose j*q + 4*l = -10, l + 13 = 4*q - f*l. Solve q*z + 0 - 8 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 31 = -3*o - d, o = 3*d - 2. Factor -4*p + 2*p + 2 + p**2 - 2*p + o*p.\nAnswer: (p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -6*t - 2*n - 17092, 2*n - 3416 = -t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 15) to base 8.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 0 - -5) + 2 + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -360, -65, 4, 7, 0, 1 in descending order.\nAnswer: 7, 5, 4, 1, 0, -65, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -49599 greater than -0.819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000148037218 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 110 = 30. Solve 5*k = -0*u + 5*u + 25, 0 = n*k - 3*u - 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 0.5, 4, 3, -1000 in ascending order.\nAnswer: -1000, 0, 0.5, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45512 * 0.1.\nAnswer: -4551.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - i - 2*i + (2*i - i - 2*i)*(2 + 2 - 3) + (3 + 2 - 4 + (-2 - 2 + 3)*(4 - 3 + 0) + 9 + 6 + 9)*(-i + 2*i - 3*i)*(2 + 1 - 1).\nAnswer: -98*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15049621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - n**3 - 3*n + (-3*n + 3*n - 2*n)*(-5*n**2 + n**2 + 2*n**2) - 4*n**3 + n**3 + 2*n**3 - 2*n + 36*n**3 + 24*n**3 + 38*n**3.\nAnswer: 100*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14556*f**2 + 655020*f + 7. Give a(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4013964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 10239360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i*i\/(i\/(i*i**(1\/4))*i)))\/i))**(1\/11)\/(i\/i**(2\/27)*i*i**(-1\/3)\/i))\/(i**(-3\/4)*i*i**(-3\/4)*(i**(-1\/4))**(4\/15)) assuming i is positive.\nAnswer: i**(1061\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = c + c - 65, -c + 3*d = -33. Suppose x = b - c, b + 2*b - x - 90 = 0. Suppose -3*i = 2*i - b. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-17 - -16 - 13))*(-6)\/9.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 6*x**2 + x - 12. Calculate n(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 22. Let j be z(-10). Let g be ((-178)\/(-680))\/(j\/(-5)). Let o = -9\/32 - g. Which is the closest to 6? (a) o (b) -0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854856.9um in centimeters?\nAnswer: 85.48569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*a + a - a)*(6 + 0 - 1) + 2*a - 4*a + 0*a)*(-5*a - 6*a - 6*a)*(-4*a**2 - a + a).\nAnswer: -1156*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*sqrt(44)\/sqrt(4) - sqrt(11)))**2 - ((sqrt(33)\/sqrt(3))**2*-4 + -4).\nAnswer: -12*sqrt(11) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*o = -o - 34, -32 = -3*k - o. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m - 39. Let c be t(0). List the prime factors of (-4 - -2) + c\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-555)\/(-75)*5)\/1. Solve -m*g + 24*g = 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 + 3 = -v, -27 = 3*v - 3*t. Let c(h) = h**2 + 9*h + 7. Let i be c(v). Let l = i + 33. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -5. Is 2348\/n - 2\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 2964.\nAnswer: 32604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2595\/1484 + 19\/53. What is the common denominator of o and -77\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/960)\/(6\/(-4))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2838)\/(-348))*((-159)\/(-27) - 6)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.5, 12 in decreasing order.\nAnswer: 12, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srssrrrsssrrr. Give prob of sequence rrs.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 4*k**2 - 26*k - 60. Let h be x(-4). Let o(t) = 48*t. Let j(i) = -i. Determine h*j(a) + 2*o(a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 795211 a multiple of 692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + -4. Let m = j - -31. Suppose -p + 146 = -5*t, -236 = -4*p + m*t + 438. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 372 = -5*f. Let v be (1 - f\/33) + 2. Factor v + 2\/11*n**3 - 2\/11*n**2 - 2\/11*n.\nAnswer: 2*(n - 1)**2*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1339 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380942 is divided by 173?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 96.5. Let o = s - 46. Let x = 1.5 + o. What is the biggest value in -4, -3, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-13) - (-201)\/39. Suppose -9*v + 4*v = -m. Is v < 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/((6 - 4)\/(-1)). Suppose 5*m = -10 + 100. Suppose h - 7 = m. What is the greatest common factor of n and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1187*y**2 - 4*y + 56. Let b(v) = 1188*v**2 - 3*v + 45. Give 5*b(s) - 4*p(s).\nAnswer: 1192*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.61872um in nanometers?\nAnswer: 58618.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d + 7. Let h(r) = 2*r - 5. Determine 3*h(l) + p(l).\nAnswer: l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -102*z + 159. Calculate d(3).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*m + 58*m. Is -3\/2668 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7389, -7396, -7405, -7416, -7429?\nAnswer: -7444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j = 60*j + 86*j + 940 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + 21110?\nAnswer: 20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -4*h + 8, 28 = 2*h + 5*q. Solve c - 10 = -c - i, h*c - 5*i = -8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 1. Let o be m(0). Let v = o - -3. Solve 4*x - v + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -29*m**2 + m + 4. Let p(j) = -57*j**2 + 2*j + 7. Calculate 7*n(i) - 4*p(i).\nAnswer: 25*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u = 3*c - 11*u - 28*u - 7, u = 4*c - 2 + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(2541\/22)*-1*(-4)\/(-4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 801.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5\/7 + 9*d**4\/7 - 9*d**3\/7 + 3*d**2\/7 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 97 - (136 + (-142 - -80))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f - 2*f**2 + 0*f - 35*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -4. Let m be -2 + 3 + -3 - b. Suppose y + m*y = -3*c + 8, 3*y + 12 = 3*c. Calculate the remainder when 4 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -3 (c) 2 (d) 845 (e) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4))**(-14\/3))**(-46) assuming i is positive.\nAnswer: i**161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/1)\/((-6)\/(-40)*(-39)\/(9126\/130))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(3\/5))**(-33)*(z**(3\/5)\/(z*z*z\/(z\/z**(-8))*z))**26 assuming z is positive.\nAnswer: z**(794\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5 + 2*b + 1 - b. Let v be o(2). Let f be (v\/(-6))\/((-10)\/24). Do f and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*879902.\nAnswer: 175980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0 - 1\/15*m**3 - 3\/100*m**5 + 1\/210*m**7 - 1\/12*m**4 + 1\/150*m**6 + 0*m**2 - 10*m. What is w in u(w) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 3*o**2 - 2*o**2)*(-2*o + 4*o + o + 3).\nAnswer: 12*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 257373, 257371, 257369, 257367?\n\"Answer: -2*l + 257375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.2 and -0.1?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883689779?\nAnswer: 7, 126241397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*((-1)\/(-2) - 0). Let s(f) = -f - 12. Let c be s(11). Let i = -21 - c. Solve q*w = -i*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 2) + -6 + 2. Let p be (-3)\/((12\/(-244))\/c). Suppose -d + 5*f + 55 = 0, 0 = -3*d + f - 4*f + p. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*k - 42 = 16, -57*b + k - 25 = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/12969 and -37\/486.\nAnswer: 700326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - 11*w**2 + 40*w + 9. What is the tens digit of n(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3411987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l**5 - 11*l**3*o**3 + 2*l**2*o**3 - 131*l**2 wrt l.\nAnswer: 360*l**2 - 66*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 5*q**3\/3 - q**2\/2 - 2*q + 2. What is the tens digit of a(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 545480945 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005339 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(55)\/sqrt(5) + sqrt(11) - (sqrt(1331) + -2) - ((sqrt(99) + -1 - sqrt(99))**2 + (sqrt(275) - 3*sqrt(275)))) + -5.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1322*u - 27. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {s: 3, k: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1371877\nAnswer: 685938.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 227433355 - -5?\nAnswer: 227433361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 269 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102532978*v**3 - 125606409*v.\nAnswer: 615197868*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*l + 189 = 0, -2*o - 5*l - 2 - 124 = 0. Let h = -316\/5 - o. Let k = 4.941 + 0.059. Sort h, k, 1\/13 in decreasing order.\nAnswer: k, 1\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y - 8. Let v be j(5). Solve -2*h + 0*h = 2*k - 14, 3*k - v = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a factor of 614156318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 52 (b) 0.1542 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*j = -90, -5*j + 2 = -8. Suppose -3*n + 1 = -r. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 2*k + 0*k)*(-369*k**2 - 419*k**2 - 901*k**2) as n + q*k**3 + d*k + b*k**2 and give q.\nAnswer: -3378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.59130434 - -11.091303. Let l = -1.5 + z. What is l rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(1\/(14\/7)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**5 - 130*i**4 - 925*i**3 - 1340*i**2 + 2400*i = 0.\nAnswer: -15, -8, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15126 - -15116. Sort -2, d, 0, 2\/7, -4.\nAnswer: d, -4, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 47037 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2)\/((-4)\/4). Let w be h + -4 + (3 - -10). What is the greatest common divisor of 90 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o + 108. Suppose -o*z + 32*z - 610 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 46 = -2*m + 134, 3*m = -4*x + 134. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + y + 4*y + 10 = 0, -2*q + 4*y = -8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 735119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) 0 (c) -6 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-9))\/(-1))\/(17\/((-18360)\/75))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/4 - 3\/6. Let k(f) = -4*f + 3. Let d(i) = -33*i + 27*i + 13*i - 7. Let g(n) = 3*d(n) + 5*k(n). Give g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 16 = -6. Let t = 0.3 - 0.4. Let p = 0.1 + t. Which is greater: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s. Let r(z) = -924. Let i(p) = -p**2 - 11084. Let o(u) = -2*i(u) + 25*r(u). Determine v(o(b)).\nAnswer: 12*b**2 - 5592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from taattaaaottaoaoaatt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/9 + 14*y**2\/3 - 80*y\/3 + 200\/9.\nAnswer: -2*(y - 10)**2*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 - 3*o + 21. Let h(g) = -58*g - 155*g**2 + g**3 + 60*g + 151*g**2 - 22. What is 3*h(l) + 2*p(l)?\nAnswer: l**3 - 2*l**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + -0.22. Which is the third smallest value? (a) -17 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-107 + -1 - -3). Suppose 15*l - o - 313 = 12*l, o = l - 107. Is y >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49958 is divided by 138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 31. Suppose 0 = -5*x - 2*m + m + 6458, -5170 = -4*x - j*m. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/3 + m**2 + 16. Determine c(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.83 + 43.83. What is the second biggest value in y, 0.1, -0.19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 11242?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19942, 21055, 22204, 23407, 24682, 26047, 27520?\n\"Answer: 3*n**3 + 1092*n + 18847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 2\/333 (c) 86\/339 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**3 - 2*h**3 + (5 - 3 - 1)*(2*h**3 + 3*h**3 - 2*h**3))*((0*h - h + 0*h)*(-3*h + 6*h - 4*h) + 2*h**2 + 2 - 2).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -15. Suppose p - 5 = 3*t + f, 2*p - 41 = t. Suppose 3*h = -2*x + 17, x + 3*x - p = -h. Let j(o) = 2*o**2 - 2*o + 1. Calculate j(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyssc. Give prob of sequence cys.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7456665 to the power of 1\/2, to the nearest integer?\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(15\/(-12)) + 6. Let d(b) be the second derivative of 0*b**3 + 3*b + 0*b**v + 0 - 1\/30*b**6 - 1\/12*b**4 + 1\/10*b**5. Factor d(x).\nAnswer: -x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -10*p + 11*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2651374.89 from 0.2.\nAnswer: -2651374.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and 490.6.\nAnswer: -137.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2594923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.7 - 20.7. Let n = 55 + -55.31. Let w = 0.31 + n. Which is the smallest value? (a) 5 (b) w (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8380.937340075 - -0.01.\nAnswer: -8380.927340075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143053109 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -122. Suppose -2*m - 2*m = -h. Let z be (-2 - -1) + m\/10. Which is greater: z or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*n**3 - 53*n**2 + 53*n**2)*(-n - 10 + 23 - 9).\nAnswer: -62*n**4 + 248*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 2. Let a(m) = -7*m**2 - 11*m + 2. Let h(i) = 2*i - 1. Let t(w) = -a(w) - 3*h(w). List the prime factors of t(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 + -589\/3. Let g = o - -7\/2. Which is the biggest value? (a) -0.4 (b) 2\/39 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7731, 7753, 7813, 7929, 8119?\nAnswer: 8401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/48*4)\/(5\/(-30))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1014, -2135, -3254, -4371, -5486?\nAnswer: -6599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*h + 3*r, 6*h - 13*r = -15*r + 86. Solve 0 = -4*u + o + h, -3*u + 3*o + 8 = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3\/4)*q)**(1\/2)*(q**(-1))**21 assuming q is positive.\nAnswer: q**(-157\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -0.5, 1 in descending order.\nAnswer: 1, 0, -0.5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3986*g + 4 - 4 + 3986*g + 2943*g**3.\nAnswer: 2943*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -1\/4, -28, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4223 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1868165182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.09826 + -0.59826. Which is the biggest value? (a) 3 (b) 24.9 (c) -2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(4977\/(-2291))*-27?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50185048*k**3 - 16931047*k**2 wrt k.\nAnswer: 301110288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44467817 + -620695.\nAnswer: -45088512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onik when four letters picked without replacement from liniiolnonolkiiiiknn.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f - 0*q + 4*q, -3*q = -2*f - 2. Suppose -f*h = 5*k - 22, k - 29 = 4*h - 7. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 18*o - 3458. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1084 - 2070 - 2326 = -92*v. Calculate the least common multiple of v and 2780.\nAnswer: 25020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 3 + 0 + 13)*(4 - 5 + 2)*(-4*k + 11 - 11) + k**2 - 3 + 5 + 2 to o*k**2 + s + l*k and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -2*u - 10, 4*u = 14 + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 21*l + 11. Let f be w(9). Let h = 55 - f. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-67)\/(-66) - (0 + 1). Let a = c + 29\/22. Let f = -16 + 17. Which is smaller: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 27*l - 54. Let k be n(-2). Find the second derivative of -8 - 1546*t**2 + 1752*t**2 - 20*t + k wrt t.\nAnswer: 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 15. Let n = 15 + p. Let f = 27 - 29. Put f, n, 5 in ascending order.\nAnswer: f, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:21 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2470 and 17\/380.\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 minus -250?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u - 34. Let l(w) = -8*w + 18. Let p(a) = 3*b(a) + 5*l(a). Let y be p(3). What is the remainder when (-7 - -6) + y + 129 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h**3 + 11*h**2 + 5*h - 5. Let t(j) = -1 - j - 2*j - 6*j**2 + 6*j**3 + 4 + 0*j**2. Let g(u) = 3*c(u) + 5*t(u). Find o, given that g(o) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116971175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4804403*s**3*y**4 + s**3*y**3 - 2*s**3*y**2 + 58*s**2*y - 42*s*y**2 + 321*y**2 wrt y.\nAnswer: 115305672*s**3*y + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - 3 - 4)\/((-4)\/626). Suppose -45*p - 5 = -46*p. Suppose z - 3*a - x = 0, -a + 1545 = p*z - 6*a. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 2. Let t be d(3). Let k = 2343\/26 - 840\/13. Let l = t - k. Calculate the common denominator of -73\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*j - j**2 + 7*j + (0*j + j + 0*j)*(j + 0*j - 3*j) + (8*j - 15*j - 15*j)*(-2 - 3*j + 2).\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070237 divided by -7?\nAnswer: 152891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (700 - 28 + 182 - 128)*(-2 + 2*r + 2).\nAnswer: 1452*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335641542?\nAnswer: 2, 3, 83, 673979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-104))\/(1\/(-1))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902227.\nAnswer: 902227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-2 - 4)) + -5 - (1 - 17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i. Suppose -l = -4*a - 16, -5*a + l = 2*l + 29. Let o be 6\/(-5)*1*a. Let u(f) = 3*f + o - 6. What is h(u(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -85*z - 13169. Give i(-154).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tklmttmkttfmtwtlwtww. Give prob of sequence fmmw.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5 = -19. Let s be (-22)\/(-4)*(-1 - (-45)\/15) - 9. Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5\/24 - 7\/8. Suppose 2*w - w + 7 = -z, 3*z + 4*w + 25 = 0. Let b = 2 - 1.8. What is the closest to z in b, k, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = a - 5*u, -2*a + 487*u - 483*u - 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w - 2*w + 2*w + w + 1 + w**2. Determine a(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 138, 279, 466, 699?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 2. Let c(r) = -18*r - 9. Let p(n) = -2*c(n) - 9*h(n). Let w(s) be the third derivative of 11*s**4\/24 - 3*s**2 - 4*s. Determine w(p(l)).\nAnswer: -99*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 u when four letters picked without replacement from {e: 1, u: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 221*f**5\/60 + 293*f**3\/6 + 51*f**2. Differentiate p(z) with respect to z.\nAnswer: 442*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -219081*f**2. Let p(l) = -20*l**2. Calculate w(p(k)).\nAnswer: -87632400*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 2 - (-11 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + -43 + 55 - 13 - (1 + 1 - -1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 821 = -261. Let n = -117 - b. Calculate the remainder when n is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**3 - 20753632*y**2 - 40*y + 2484470 wrt y?\nAnswer: 12*y - 41507264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/22*2*(-4)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g - 302. What is p(31)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 13 (b) -0.046 (c) 4 (d) 1005 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*((sqrt(684) - (-5 + -1*sqrt(684)))**2 + sqrt(684)*4*6 + -5).\nAnswer: -13777 - 1320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x + 512. Determine b(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 e when four letters picked without replacement from {k: 12, e: 6}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1580621?\nAnswer: 7, 349, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n**3 - n**2 + 2*n. Let g(u) = u**3. Let q be (4\/(-6))\/(16\/24). Give q*v(o) + 6*g(o).\nAnswer: -o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 8*x. Let r be j(-8). Suppose r = 5*h - h + 4. Let a(g) = g**2 + g. Determine a(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22558*f**4*g**3 + 56*f**2 - 38*g**3 + 2*g wrt f.\nAnswer: 541392*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -61. Suppose n - i = -4*n, n = -2*s - 3. What is the tens digit of 2\/(s\/(-106)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15552 divided by -4?\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 11*h + 4. What is the second biggest value in -0.3, -0.4, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 13*p + 6. Let t(c) = -c**2 + 14*c - 4. Let f(k) = -2*r(k) - 3*t(k). Calculate f(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-1)\/((-7)\/28). Find the second derivative of 2*k - 8*k + a*k + 6*k**2 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 7*y + 191000 = 0. What is y rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -354286 - -354282. Let j(k) be the first derivative of 3*k**2 + 18*k - 2. Determine j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 10*r + 9. Let v be i(7). Let a(o) = -o**3 - 11*o**2 + 11*o + 10. What is the smallest common multiple of a(v) and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-3))\/(275\/225))\/(140112\/(-12232)).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 392*r**4*u - 7*r**2*u + 5*r**2 wrt r.\nAnswer: 9408*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -16*a - 30. Let u be (-51)\/(-1)*(-3 + (-40)\/a). Let v = 41 + u. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/697 - -7751\/14637. Let z = 6\/7 - y. Factor z*u**2 + 2\/3*u + 1\/3.\nAnswer: (u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(-4 - 0). What is the remainder when 10\/15*(-477)\/k is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(5*u**3 + u**3 - 5*u**3) - 7*u - 2*u**2 + 2*u**3 - 499 - 501 + 999.\nAnswer: 4*u**3 - 2*u**2 - 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3\/(-7) + 192\/399). Calculate the greatest common factor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/15)\/x)\/x**(-2\/121))\/(x**(-2\/49)*x\/x**(-35)))**(-27) assuming x is positive.\nAnswer: x**(29676177\/29645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349 + 550. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 46, 88, 200, 412?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107283.46 rounded to the nearest 1000?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 1, v: 1, r: 1, t: 1, a: 2}. Give prob of picking 1 s and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b + 25. Let s be d(13). Let w = -52 - s. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r + 36. Let u be h(7). What is the remainder when u + 217\/((-4)\/(-4)) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 238954945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 17, 1, 3.\nAnswer: -9, 0, 1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 112.15781*9\nAnswer: 1009.42029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29520496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1860, 1857, 1852, 1845?\n\"Answer: -u**2 + 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4428 = 3*z - 5*w, -3*z - 4*w - 3321 = 0. Let n be z\/(-21) - (-2)\/7. Let m = n - 34. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 + t - 6. Let v(k) = -2*k**2 - k + 5. Let s(w) = 5*o(w) + 6*v(w). Let q(h) be the second derivative of 5*h**3\/6 - 578195*h. Determine s(q(d)).\nAnswer: 75*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w**2. Let a(g) be the first derivative of 3*g**2\/2 - 13. Determine t(a(y)).\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-5)\/(5\/(-2)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.39 - 0.01. Let z = -3 - s. Let o be (3\/20)\/((-12)\/(-10)). Which is the smallest value? (a) o (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10386493 is divided by 4143.\nAnswer: 4135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(57)\/sqrt(3) - (-3*(sqrt(19) + -3) - sqrt(19))**2 - (5*(sqrt(19) + ((sqrt(209) + -3*sqrt(209) - sqrt(209)) + sqrt(209))\/sqrt(11)) + 1).\nAnswer: -390 + 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/(s\/(s**(-1\/6)*s*s))*s))\/s)**(-27))**(2\/3) assuming s is positive.\nAnswer: s**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37720*j - 61*j**3 - 265 + 37720*j + 265.\nAnswer: -61*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 280 = 2630. What are the prime factors of m?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 114. Suppose 4*t + l = -t. What is the units digit of t\/(-2)*6\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 56\/(-26) + 68\/34. Let z be (-171)\/(-7) + 8\/14. Let o = z + -22. Which is the third biggest value? (a) s (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:50 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 2. Let f = -8 - -12. Let p be n(f). Suppose 0*v - p*v + 76 = 0. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*r*v*y - 2*c*r*y - 2*c*r + c*v*y + 1761*c*v + 113*c + 117*r*v*y - 33*r*y - 49*r + 3*y wrt v?\nAnswer: c*r*y + c*y + 1761*c + 117*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 + -4a?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 + o**2 - 5*o - 7. Let t(x) be the first derivative of q(x). Is t(16) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14368536 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 4*w + 3*a = 0, 184*a + 0 + 5 = 3*w + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x = -y - 0*y + 24 - 92, 3*y = 3*x - 24 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(3\/2))\/k)\/(k\/k**(-2\/7)))\/(k**(-10\/9)\/k)**(1\/4))**36 assuming k is positive.\nAnswer: k**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10380 + -10079. Calculate the remainder when v is divided by 102.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(300))*-6 - sqrt(300)*1*-2) + (sqrt(300) + 2 + -4)*1)*1 + 1)**2.\nAnswer: -300*sqrt(3) + 2725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -96*q - 23*q - 170*q + (-3*q - 3*q + 4*q)*(1 + 0 + 0) - 3*q + 0*q + 2*q.\nAnswer: -292*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 a factor of 827925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 25\/4 of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464*j + 205*j + 1336 + 30204 = -10607 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15712*g**3*m*u + 8*g**3*m - 2*g**2*m*u - 6*g**2*m + 2*g**2 - 2*g*m wrt u.\nAnswer: 15712*g**3*m - 2*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.35 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 473\/99) + 7.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - 190*d + 381. Determine p(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/7))**(-3\/13)*u**0\/u*u*u**7 assuming u is positive.\nAnswer: u**(622\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.3. Let b = q + -0.9. Let p = -7\/10 + 8\/15. Which is greater: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - f. Let b(l) = -4*l**3 - 6*l**2 - 2*l - 8. Let d(i) = -i**3 - 2*i**2 - i - 3. Let z(w) = 3*b(w) - 8*d(w). Give 2*k(p) + z(p).\nAnswer: -6*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15883 + 40325 = -242*c for c.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, f: 2, s: 6}. What is prob of picking 1 c, 1 s, and 2 f?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scf when three letters picked without replacement from {s: 1, o: 7, f: 6, c: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146660691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 3 (c) 3\/8 (d) -0.13 (e) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1901, 3790, 5681, 7574, 9469?\nAnswer: 11366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1 + 13*m - 1 - 12*m + 1. Let d(z) = 7*z + 13. What is -d(w) + 6*l(w)?\nAnswer: -w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*p - 53*p - 8*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 624 by -2.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 59*c - 18 + 87 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9531 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iigiggiiiigigigg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156\/48*(4 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173.8934 * 0.031\nAnswer: -5.3906954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 123999, 248011, 372023, 496035, 620047?\n\"Answer: 124012*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddkdddddddmdd. What is prob of sequence dddd?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = h, -3*p = -h - 22. Let i = p + -6. Let d(u) = -4*u**3 + u - 1. Determine d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41195 and 1057595?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.9 - -8. What is the nearest to -0.8 in 1\/3, t, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 120403112303?\nAnswer: 120403112313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + k - 12996, -y + 0*y = k - 2596. Round y to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/(-42))\/((-4)\/(-16)). What is the closest to -1 in -2, c, 3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1908)\/(-462) - 4)*-7. Is -12 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2795\/(-215)*2\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) 2\/13 (c) -1\/2 (d) -0.62 (e) -2 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -34*o**2 - 833*o - 5104. Determine l(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156524354 + 3?\nAnswer: -156524351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31460\/(-484) + (-14 - 6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 7) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gblolmmll. What is prob of picking 1 b, 1 o, and 1 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l + 4*o = 32*l + 18, l - 14 = -4*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**7\/42 + 161*y**6\/120 + 359*y**5\/12 + 49*y**2. What is the third derivative of w(m) wrt m?\nAnswer: -120*m + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1068 * 1.2\nAnswer: 0.12816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 69836, 1 in descending order.\nAnswer: 69836, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 18 = -18*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 220*i**3 - i**2 - 780*i + 1566. What is q(2)?\nAnswer: 1762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*d**2*h**2 - d*h*z + 2*h**2*z + 65*h + 6*z with respect to d.\nAnswer: -132*d*h**2 - h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/27)\/((-3059)\/(-1539) + -2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, g: 16, l: 1}. What is prob of sequence gglg?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.9. Let k = -59\/4 - -15. Does h = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4270 and 488?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 1. Let i be t(-4). Let x = -27 + 56. Let l = i + x. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 minutes before 1:23 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: 24624332 (base 8) to base 14\nAnswer: a1c1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000185583434 rounded to seven decimal places?\nAnswer: 0.0001856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (-1*sqrt(176))**2).\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530276 (base 12) in base 15?\nAnswer: 59bdc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - 6*b**2 + 4*b - 5. Let g(x) = 3 - 13*x + 3 + 4*x + 5*x + 5*x**3 + 7*x**2. Let n(u) = 3*g(u) + 4*s(u). Calculate n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272979023.\nAnswer: 3, 17, 1483, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 - 1)*((25*y - 39*y + 23*y)*(2 - 4 + 0) + (0 + 1 + 2)*(-y - 3 + 3)) to s + k*y and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -11\/8 (c) -1\/4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + -8 + (3 - (3 - -4) - -13 - 10)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1765858*k - 1094678 wrt k.\nAnswer: 1765858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2, 0.03, -1\/3627?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/224 - (-2)\/56*-102)\/1.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3855 not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - w**3 + 0*w**2)*(4*w**2 + 0*w**2 - 2*w**2) - 6*w**5 + 11*w**4 - 11*w**4 + 271 - 271 - 23*w**5.\nAnswer: -31*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/355031?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4 - 266*x**3 - 816*x**2 - 8*x + 1088 = 0. What is x?\nAnswer: -2, 1, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.5 - -8. Let f = 13.4 - -4.6. Let q = f + -17.9. Which is the biggest value? (a) 1\/5 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 25 = -2*n, -144 + 129 = -4*n - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(34))\/sqrt(2))**2.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-8) - (52\/(-80))\/1) + 0. Let d be (6 + -11 + 29)\/5. Factor -d*o + 72\/5 + k*o**2.\nAnswer: 2*(o - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 34 = -86. Suppose 0 = -c - 2 + 5. Is 8 a factor of (24\/10)\/(c\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8459 - -2)\/(2*(-8)\/16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(5\/4)*t*t)\/t))**(-8))**(-43) assuming t is positive.\nAnswer: t**(-430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37\/2 + -18. Let x = 0.4 + 25.6. Let d = x + -28. Which is the nearest to r? (a) 2 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2699 + 2715. What is the greatest common divisor of f and 448?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-72)*-6 + (-3930)\/20900 and -71\/285.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + k - 3. Let w be (-3 - (1 - 4)) + 3. What is the remainder when 35 is divided by d(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q + 4*m - 284 = 0, 2*m = q - 62. Suppose 0 = -a - 2*k + 21, -4*a - 52*k = -54*k - 94. What is the remainder when q is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(68))*-2 + -5.\nAnswer: -4*sqrt(17) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -2\/117 (c) 3 (d) 2\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1931*n + 13863. Let c(m) = -1932*m - 13926. Let g(r) = 3*c(r) + 4*j(r). What is the first derivative of g(k) wrt k?\nAnswer: 1928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/468)\/(55\/33).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1\/20*c**5 + 0 - 3*c + 0*c**4 - 5\/2*c**2 + 0*c**3. Differentiate y(k) with respect to k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1786, 2\/15, 2.\nAnswer: 2\/15, 2\/7, 2, 1786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 349\/110 - 36\/11. Let r = -1383.4 - -1384. What is the second biggest value in r, u, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 68642258061.\nAnswer: 68642258060.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*m + 28, -3*b + 2*m = -m + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*j + 158604 + 172231. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let z(t) be the second derivative of t**2\/2 + 10*t. Calculate -2*m(i) + z(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 276791.9 micrometers in centimeters?\nAnswer: 27.67919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2249823802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.96 - 0.04. Let d = -1.9 + 2. Let z be (2\/(-4))\/(((-42)\/56)\/((-1)\/(-4))). Which is the second biggest value? (a) n (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:59 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9778.119 years to millennia.\nAnswer: 9.778119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/3 and 61\/250236?\nAnswer: 250236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 14439.\nAnswer: 28878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1709795.\nAnswer: 5, 341959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*1\/(-6)*-6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-1)\/(-3)))\/((-12)\/32)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2797*z - 3*x + 39 = -2800*z, x + 17 = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18085856 and -59.0216.\nAnswer: 18085796.9784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 786 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 25. Sort -5, 5, v.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*f - 60, 0 = 4*w + f + f - 72. Let t be 3\/2 - 57\/(-6). Let b = 15 - t. Calculate the greatest common divisor of b and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a - 9?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32 - (-16 - -16)*(1 + 0). Solve 4*h - v - 25 = -x, 4*h + 13 = -5*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.1*1.294\nAnswer: 27.3034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 12) in base 7?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5821a23 - 2?\nAnswer: a5821a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -353 times 1.1?\nAnswer: -388.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88) + sqrt(88))*2 - (sqrt(88) + (sqrt(88)*2 - sqrt(88))*-5))\/((-2*(sqrt(88)*2 + sqrt(88)))\/sqrt(11)).\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 3*b**2 + 3*b + 3. Let t be a(-3). Let j be 23\/(-4) + (-3)\/12. Let i = j - t. Solve -h + 28 = -5*f - i*h, -2*f - 25 = -5*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -13*c**5\/60 + 21*c**2\/2 + 25. Let p(g) be the second derivative of y(g). Let n(w) = 2*w**2. Determine n(p(f)).\nAnswer: 338*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 61 + 1 - 2*-1. Let h = j + -25. Suppose u + h = 4*u. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183395 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:21 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 3*x + 3*f + 3, -2*x - 2 = -2*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 47*g**2 - 2*g + 91. Let j be b(47). Let f(w) = -w**2 - 7*w - 2. What is f(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10520436 and -31\/3280?\nAnswer: 210408720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 9. Suppose 3*b - 73 + 58 = 0. Suppose -2*j - 26 = -14*t + 18*t, -5*t - 65 = b*j. Calculate z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 38*n**2 + 6*n - 76. List the prime factors of s(36).\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1*2)\/(2248\/(-562)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -5. Let f = -30.98 - a. Let p = f - 0.52. Sort -1\/3, p, 1\/5.\nAnswer: p, -1\/3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -216 + 283*r**2 + 426 - 210 + (-2*r + r - r)*(4*r - 3*r - 6*r).\nAnswer: 293*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(300)\/sqrt(5)*3)\/sqrt(12)*1)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 - 7*p**2\/2 - 6*p + 2. Let f be k(8). Suppose -f*o + 5*o = 15. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-511)\/(-4) - (-2)\/8. Suppose 5*o - 2 = -a - 25, -a + 3*o + 1 = 0. Does 12 divide a\/28 + j\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19873, -19655, -19437, -19219, -19001, -18783?\n\"Answer: 218*j - 20091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - m + 605, 0 = 5*m - 2*m - 15. Round b to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*l + 1670 = 28*l + 42*l. Solve -4*a = 3*p - 18, 8*a - p = 4*a + l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 376*k**4 + 572*k**3 + 294*k**2 + 53*k + 1.\nAnswer: (2*k + 1)**3*(47*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 3*r**2 + 88*r + 171. Give l(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -511356\nAnswer: 255678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111 or -290948?\nAnswer: -290948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1 + (-4 + 3 - 1)*(-5 + 2 + 2) - 1 + 3 + 0)*(-2*x + 5*x - 2*x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 3 - 2)*(-14*j**3 + 714*j**2 - 714*j**2).\nAnswer: 294*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 564 = 131. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424235747 divided by -13\nAnswer: -32633519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92\/7 + 13. Let d(h) = -4*h**3 + 253*h**2 - 63*h - 3. Let x be d(63). What is the nearest to x in -1\/4, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 14*p = 16*t - 85, 2*t + 5*p + 85 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b + 11. Let c be u(-2). Let i be 0 - ((-44)\/6 + c\/(-3)). Let q = i + 1. Calculate the highest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2049*h + 5 = 3*c + 2047*h, 4*h = 46*c + 190 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 + z + (2*z + z - 5*z)*(1 + 1 + 0) + 38*z + 97 - 97.\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 31.43, -1, -3, 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 7*r**2 + 4*r + 2. Suppose -5*w = -3*f + 23, 4*f + w = -2*w - 8. Let q = f - -5. What is l(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -146, -231, -324, -425, -534, -651?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*s, -3*f + 0*f - s = 0. Suppose f = -3*b - 6, -4*y + b + b = -4. Suppose y = 5*o - 2*p - 129, -4*o = -0*o + p - 98. Solve u = 6*u - o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/2)*l**14 assuming l is positive.\nAnswer: l**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 3*g**2 - 2*g. Let l be d(-2). Let j(y) = y**2 + 36. Let q be j(0). Let z be 64\/126 + (-8)\/q. Is z >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/5 + 1 - 2 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a47 (base 14) in base 8?\nAnswer: -16527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -12372, -9723.\nAnswer: -12372, -9723, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 10. Let a be 5\/90*-6 - (-293)\/(-3). Let m = -107 - a. What is b(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1000*h + 4995. What is n(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*2*13*10\/(-260)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + -1*sqrt(119) + sqrt(119))*-4 - sqrt(119)*-1*6)\/(-2*(sqrt(343)*1 - sqrt(7))).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.73 + -2.73. Which is the biggest value? (a) 7.5 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + 1.5. Let w = -4706 - -14120\/3. Which is the second biggest value? (a) k (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*a**3*f**2 + 2*a**3*f*w**2 + 66*a**3*w**2 - 4*a**2*f**2*w**3 - a**2*f*w**2 - a*w**3 wrt f.\nAnswer: -194*a**3 - 8*a**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*z**2 + 4)*(4 - 2 + 0) + 2*z**2 + 2*z**2 - 3*z**2 - 8*z**2 + 10*z**2 + 7*z**2 - 2*z.\nAnswer: 14*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 5\/(-20) + (-663)\/52\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570160 rounded to the nearest ten thousand?\nAnswer: 3570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.068711 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5. Let d(h) = -h - 11. Let g(p) = 3*d(p) + 7*u(p). Let l(c) = 0*c - 2*c - 6*c - 6*c - 2*c + 15*c. Determine l(g(t)).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -137 (base 10) to base 7\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-30)*5\/(-1). Suppose 5*h - 4*b = 24, d*b - 91 + 35 = -5*h. What is the remainder when (-57)\/(-3) - (-2 - 0) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 5*x - 13)*(x - 3*x + 0*x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -16*s + 136 - 97. Let l = 0.2 - 0.2. Let u = 0.17 - -1.83. What is the second smallest value in u, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.23 - -0.03. Let q = i - -0.1. Which is the nearest to 1? (a) q (b) 3\/7 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z + 23. Let d be b(-5). Let g be 6\/(-8) - 1068\/d. Is g greater than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**4 - u**2 + 1. Let l(w) = -2*w**4 + 5*w**2 + 2*w - 5. Let h(q) = 5*k(q) + l(q). What is the second derivative of h(m) wrt m?\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035775 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 - 2*j**3\/3 - j**2\/2 - 5*j. Calculate p(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 - 4. Let r(d) = -5*d - 1. Let m = -3 + 2. Let f be r(m). Suppose 5*t - a = -f, a - 4 = 4*t - t. What is o(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487096?\nAnswer: 2, 60887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 30*n**2 + 178*n - 38. Determine y(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**7\/630 - c**6\/90 + c**5\/60 + c**4\/18 - 2*c**3\/9 - 47*c**2. Factor f(p).\nAnswer: (p - 2)**2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-9) - 2*2\/(-6). Suppose j = 2*l - 4 - 49, -3*j - 55 = -m*l. What is the remainder when l is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0. Let o = 4.34 + u. Let m = -4 + o. What is the biggest value in 1, -0.3, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 218, 5, -192?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/28*6\/(-27)*-6. What is the closest to 1 in -2\/7, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 13 = o. Let j = 166 - o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 32*m**3 - 19*m**2 + 33*m + 16. Determine r(2).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 5. Suppose -n*s + 199 - 2254 = -2*t, -3*t - 5*s = -3045. What is t rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2 - 6468*w + 3486252 = 0?\nAnswer: 1078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j, -j + 32 = -y + 3*j. Suppose -4*u = -2*u + 2*d + 106, 5*u = 3*d - 249. Let l = u - y. What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 + 2668 = 7*b. Suppose 460*s - b*s = -288400000. What is s rounded to the nearest 1000000?\nAnswer: 144000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 w, and 1 i when three letters picked without replacement from twiwwwitf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 995 + -6969\/7. What is the closest to 0.1 in -1, 6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/5, 1\/3, 15\/8 in ascending order.\nAnswer: -3, 1\/5, 1\/3, 15\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -21768*c. Let b(a) = -187*a. What is x(b(k))?\nAnswer: 4070616*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3109 + 3*s - 6231 + 3122 + 6*s**3 + 116*s**2.\nAnswer: 6*s**3 + 116*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4573 = 789*p + 37711 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.093224 minus 0.1?\nAnswer: 1.993224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2322 + 121?\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3224?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 11*n**2 + 9*n + 105. Let i be z(-11). Suppose -7*c + 3192 = -4*c. Suppose -i*l - 344 = -c. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363419 and 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111, -206, -293, -372, -443, -506, -561?\n\"Answer: 4*g**2 - 107*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11\/(3 + 4\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 4*j**3 - 3*j**3 - 129*j**2 + 129*j**2. Let t(d) = 9*d**3 - 8*d. Determine t(z) - 6*y(z).\nAnswer: 3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 238811 = 14*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 7*u + 4. Let i be (2 + -3 - 2)*-3. Suppose i*h = 4*h + 15. What is the remainder when x(-4) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110101 (base 2) to base 4\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 5*d. Suppose 0*w = -w. Suppose 4*u - 44 = -3*s - w*u, s + 4*u = 28. Solve 5*h + 4*y + 14 + s = d, -2*h - 5*y - 19 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(3*sqrt(125)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2291936 and 30016?\nAnswer: 32087104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 11*c**3 - 17*c**3 - 17*c**3.\nAnswer: -38*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6369*d**2 + 238*d - 504*d + 3*d**3 + 12748*d**2 + 266*d - 6379*d**2.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14)*(-966)\/(-207).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 5. Give v(7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/12 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -26. Suppose -o + 3 + 3 = 0. Suppose -w + o - 3 = 0. Solve 0 = -w*q - 0*t + t + 10, -d = -4*q + 2*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 30 = 0, -3*f - 19 = -6*i + 5*i. Are i and 65\/106 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = k - 6, -5*h - 209 + 200 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324 = -83*h + 245 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307191070?\nAnswer: 2, 5, 19, 83, 82891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -201 + -381580?\nAnswer: -381781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0.7. Let i = w + 0.3. Let c = 95.3 - 104.3. Do c and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-16) - (-18)\/4 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45.4 + 5.4. Let f = j + 36. Let m = 1 + -2. Which is the nearest to m? (a) f (b) -1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2736 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 - 61*n - 322. Let i be r(-5). Calculate the highest common factor of 414 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 88204096.000315 + -88203912. Let h = -184 + i. Round h to 5 decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30345\/7225 + 1544\/(-20)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -77. Let p = w + -50.4. What is p rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z, -12 = 4*b + z + 5. List the prime factors of (-6)\/b*120\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + 619*r + 620. Let k be w(-1). Let x = 7 + -7. Solve k*d + 12 + 13 = x for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 + 490\/273 + 18\/(-39). Let j(s) be the first derivative of -11*s - 11 - 23\/2*s**p. What is the first derivative of j(h) wrt h?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*103\/((-72512)\/(-288))*(-4)\/(-10)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-10) + (-5)\/10. Let r(j) = -122*j - 1. Let z be r(b). Do z and 120 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m - 3. Suppose -l = -2*k + 5 + 8, 0 = -4*k + 16. Calculate g(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 933844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93671190 by -5.\nAnswer: -18734238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -438\/163 + -8539\/4890. What is the common denominator of k and 73\/88?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -33, -38, -29, 0, 55, 142, 267?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.93 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddldldlddd. What is prob of sequence ll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6\/13)*f*f**5)**(19\/2)*(((((f**(1\/13)*f)\/f)\/f)\/f)\/f*f*f\/(f*f**(-1\/3)))**(-2) assuming f is positive.\nAnswer: f**(5093\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygx when three letters picked without replacement from {a: 1, x: 3, v: 3, g: 1, y: 6}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9*-0.123\nAnswer: 1.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 46, -0.1, -737, 191?\nAnswer: -737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 3*j**3 - 3*j**3)*(677 + 290 + 831).\nAnswer: -3596*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 851*s**3 - 2*s**2 - 20*s + 22*s + 2*s**2.\nAnswer: 851*s**3 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 3*p - 2*p + 3*p + 93 to the form o + i*p and give o.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*r - 3*r + 31730. What is the tens digit of 2 + r\/(-4) - (-18)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k + 16*k - 8*k - 1. Let q = -13 + 8. Let a(u) = 6*u + 1. What is q*i(f) - 4*a(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614623 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04452815971 to three dps.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4590208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than or equal to 0.074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500)*1 + sqrt(3500))\/(sqrt(56)\/sqrt(2)) + (sqrt(180) + 4)*-6 + -5.\nAnswer: -26*sqrt(5) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r + 0*r**4 + 5*r**2 - 1\/30*r**5 + 0*r**3 + 0. Let k(j) = j**2. What is k(w(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -8903 (c) -0.0463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -24. Let y = 85 - l. Let x = -0.46 - -0.06. Which is the closest to -1\/3? (a) -4 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Expand (-2 + 2 + 15*p + (-5 + 1 + 3)*(2*p + p - 4*p))*(-38*p**4 + 2*p**3 + 14*p**4 + 5*p**4).\nAnswer: -304*p**5 + 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 5*f**2 - 3*f + 1. Let n = -89 + 131. Let x = 44 - n. Suppose 0 = -2*s + x + 4. Calculate q(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -46*c + 506. Let l be w(11). Let o(v) be the second derivative of 9\/2*v**2 - v + l*v**3 + 0 - 5\/6*v**4. Find the first derivative of o(y) wrt y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 1989.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-195 + 81 + 87)*(2240 - 101*k - 2240)*(-4 + 5 + 1) as n + q*k and give q.\nAnswer: 5454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6962*m + 2155*m**3 + 6978*m - 2156*m**3 - 20850*m + 6910*m.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 591, -9 in descending order.\nAnswer: 591, 9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2067822 divided by 6?\nAnswer: 344637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31135, 61773, 92411, 123049?\n\"Answer: 30638*z + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**2 + 93*l - 81. Give b(0).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1249 - 1250. Which is the closest to -0.5? (a) -2 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21405 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 bigger than -2\/237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -549217, -549215, -549213?\nAnswer: -549211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6194*w + 3039. Is x(-37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*423\/231 + 10\/(-5). Let g = m - -39\/11. What is the nearest to g in 0.1, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Let q = 5 - 3. Let u be ((-4)\/28)\/(240\/35 + -6). What is the second smallest value in q, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 16. Let s(o) = 4*o**3 + o**2 + 25*o + 7. Let m(q) = 5*q**3 + q**2 + 28*q + 7. Let y(a) = 5*m(a) - 6*s(a). Let d be y(0). Calculate n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549345388.\nAnswer: 2, 41, 3349667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 215.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) 0 (d) -2184 (e) 957\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 291871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*r**2 + 2 - 15*r**2 + 51*r - 3*r**3 + 2*r**3 + r - 9*r**2 in the form h*r + t + p*r**3 + o*r**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0175002 and 0.3.\nAnswer: -0.00525006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(28)\/sqrt(4) - sqrt(7)) + 0)**2 - 5*(-1 + sqrt(7) - sqrt(7))) + -4*sqrt(49)\/(sqrt(140)\/sqrt(5)).\nAnswer: -20 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvglnivgmvivgi. Give prob of picking 1 v and 1 n.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3651?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126626700 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = q - 332, -2*q = -3*p - 7*q + 266. What is the greatest common divisor of p and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 11) to base 16.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4*(-8 + 7 + (-12 - -11)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 285995 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(190)\/(-2*sqrt(1210) - sqrt(1210)))**2.\nAnswer: -19\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79294753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 12 = 2*l + 354*s - 352*s, l + 26 = -3*s - 32 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(-12)\/990 + (-4104952)\/(-264)?\nAnswer: 3, 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/11 - 666\/33. What are the prime factors of (-4)\/(-6)*(-690)\/f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4\/9))\/(z**8\/z) assuming z is positive.\nAnswer: z**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 7:04 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 + 107 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 420492 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27487\/63135 + -121\/305. Find the common denominator of l and -145\/828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.05, 0.4, -51, 0.5, 1205?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.50378755 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**2 - v - 1. Calculate the remainder when 55 is divided by u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 595, 4 in decreasing order.\nAnswer: 595, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 17*d**2 - 225*d - 1066. Give r(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:08 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35325 and 123125.\nAnswer: 173975625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/4))\/o)**4)**(11\/7) assuming o is positive.\nAnswer: o**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 8:51 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*14\/56*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 816035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*g = -16, -h - 2*g - 8 = -4. Let l = 6 - h. Suppose 3*i + 3*c - 6*c - 21 = 0, 2*c + 12 = i. Solve 4*y + 13 = 3*p, -i*p - 3*p = -l*y - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29559.64 decades to years.\nAnswer: 295596.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q + 6. Calculate w(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4*z**3 + 35802*j**3*z**3 - 2*j*z**3 - 1153*j*z + 3*z**2 - 3 wrt j?\nAnswer: 24*j**2*z**3 + 214812*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40344319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/10)\/(((-4)\/50)\/(36\/(-180)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 24*z + 13. What is the units digit of f(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3272640 to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20*2)\/((-952)\/1700)*-35.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 992891, 992869, 992833, 992783?\n\"Answer: -7*p**2 - p + 992899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 29\/11 - (-236)\/286\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -107 in 0.04, -3, -8, 5, 23, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 21*o**2 + 42*o + 76. Let v be i(-12). Solve 0 = -2*b + v, -l + 2*b - 1 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*f = 243*f - 411 - 4113 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -663.6 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190136 is divided by 95067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 64, 127, 212, 319?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1\/7, 22\/7, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17063307 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 1, l: 1, m: 1, c: 1, v: 1}. Give prob of picking 1 v, 1 u, 1 m, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6ae + 48?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 2*s - 2*s + 2*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8213 + 742*h - 8213)*(-11*h**2 + 11*h**2 + 4*h**3 + (4*h - 2*h - 5*h)*(0*h**2 + 2*h**2 + 0*h**2)) to m*h**3 + s*h**2 + k*h**4 + u*h + j and give k.\nAnswer: -1484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3790, -7581, -11372?\n\"Answer: -3791*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -66*v - 15. Let n be -2*(-4)\/(-16)*-2*7. Suppose 23 + n = -5*w. Is o(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 279497397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 203*b**2 + 239*b + 1742. What are the prime factors of l(-7)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87535 is divided by 346.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-12) - (-342342)\/7224. Which is smaller: 48 or u?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 326*l - 11538. Determine j(52).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -324 and 576979?\nAnswer: 577303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**3 + 8*s**3 - 3*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 + 10*x**3\/3 - 9*x**2\/2 + 6*x - 1. What is the units digit of p(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2021?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25041 and 33?\nAnswer: 275451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*g - 4*v, g - 4*v + 4 = -10. Let d = -0.07 + 0.17. Let t = d - -6.9. Which is the third smallest value? (a) g (b) t (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 4*b - 17 = -q, 2*b + 8 = 0. Sort -5, q, -1, 3 in decreasing order.\nAnswer: 3, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 133 - 50 - 7*y - 2 as o + j*y and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-304)\/16)\/19)\/((-3)\/((-36)\/51))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/50 + 216611\/(-110). Let r = 1969 + q. What is the common denominator of (1\/4)\/((-2)\/37) and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(16 - (17 + 28132))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 + 32. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*p - 26 = 295*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1798*i + 13. Let j(p) = -3592*p + 29. Give 9*a(b) - 4*j(b).\nAnswer: -1814*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-28))\/(154\/(-9329012)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 11*v + 62. Let t = 1446 - 1431. What is l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -833*s + 6 = -831*s - 8*w + 7*w, -16 = -4*s + 3*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7144\/133)\/2 + -26.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.876 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -2)\/(4\/(-12)). Let k be (-6 - 6\/(-2))*f. What is the greatest common factor of k and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 - -3. Let i = -1.9 + o. What is the biggest value in i, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -464*a**2 - 74*a**2 + 110*a**3 - 43*a**4 - 33*a**3 - 79*a**2 - 305*a**2 wrt a?\nAnswer: -1032*a + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11656 (base 13) in base 6?\nAnswer: -403231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14433 - 14135. Which is the biggest value? (a) f (b) 4 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/3)*x*x)\/x)**(-4\/5)\/((x*x**7\/x*x)\/x*(x\/(x**(-3)\/x*x))\/x*x))**(-23\/4) assuming x is positive.\nAnswer: x**(3887\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6681 - -12620. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 25. Suppose 2*v - 8 = 0, -v + h = 5*p + 3*v. Solve -p*n = -4*b - 4, -6 = b + 4*n + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156234 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -10. Let j be (-1)\/(-1 + (-6)\/p). Suppose 5 + 25 = j*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 1:24 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 5:38 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3997 - -656. Let x = r - 97742\/21. Calculate the common denominator of x and -38\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221190.\nAnswer: 2, 3, 5, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + -2.4. Which is the nearest to -1? (a) d (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14909087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**5\/30 - o**4\/5 + 4*o**3\/15 + 3*o**2\/2 + 3. Let h(u) be the second derivative of a(u). Determine m, given that h(m) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-68)\/17 + 3*3. Solve 10 = -5*d + x*k, 2*d + 0*k - k - 1 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588390287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 66904 = 4*d, -2*r = d - 6777 - 9951. Is 16723 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -116990839, -233981676, -350972513?\n\"Answer: -116990837*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 2. Let d be r(-12). Suppose 3*g - 34 = -4*h, -g - h + 0*h = -d. Solve a + 10 = -5*b, -4*b - 5*a = -g*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390 and 28924350?\nAnswer: 28924350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30267918089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 2, s: 1}. What is prob of sequence se?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 less than or equal to -1308.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4258200 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*i**4*q - 10*i*q + 79*q - 1 wrt i?\nAnswer: 56*i**3*q - 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5582116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d - 50 = -3*o, 0 = -d + o + 18. Suppose -d*q = 6*q - 1805. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 7*w**3\/6 - w**2\/2 + 8*w + 8. Let m(k) be the first derivative of i(k). Differentiate m(j) wrt j.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 5*g + 6. Suppose b - 3*y - 9 = 0, -g = -b + y + y. Suppose 2*d - 6*d + 356 = b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n**4 + 158835*n**3 + 176955*n**2 - 1890000*n - 204336 = 0.\nAnswer: -4, -3\/28, 3, 1892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 8*i**2 + i - 5. Let z be d(8). Suppose z*r = 5*r + 2. Let p = r + 13. What is the greatest common factor of p and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/22*30 + -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**6*d*d**(-2\/5)*d*d*d*d**(-1\/5)*d**(-2\/3)*d*(d**0)**(21\/4)\/(d*d**(-1)*d*d*d**(1\/3)\/d) assuming d is positive.\nAnswer: d**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*o + 2*v, -5*o - 2*v = -516 + 489. Solve 10*d = o*d + 40 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r - 0*r. Let v(g) = -3*g - 1 + 3*g - g**r. Suppose 0 = 2*l + 2*l + 8. Give v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -75\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 7) to base 8\nAnswer: -711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by 4.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 972 divide 521964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-105) - 79\/14 - -6. Which is the closest to l? (a) 1 (b) 3\/10 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005035453 rounded to 4 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:55 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.1 + -27. Let s = -0.8 + q. Which is the nearest to s? (a) 2 (b) 2\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddbddbdddbbddddb. Give prob of picking 4 b.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + (-16)\/4)\/(2\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -3*y + 4. Suppose 5*t + 4741 = 3*b, b - 1567 = -y*t + 32*t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 20 = -163. Let p = t + 106. Calculate the highest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14 + (-176)\/(143\/(-13)). Solve -h = -w*j - 3, -3*j - 8 + 2 = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**5\/8 + p**4\/4 + 3*p**3\/4 - p**2\/2 - 13*p\/8 - 3\/4 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8171\/5 - 1625. Let w = r - 332\/35. What is the smallest value in 7, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + 138\/15)\/(3\/250) is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/11 + 32\/55. Let x = 5.2 - -0.8. Let u = 6.3 - x. Which is the closest to 0? (a) t (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(153).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*b**3 - 6577*b + 202*b**3 + 6577*b + 3.\nAnswer: 160*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1dc7 + 7e?\nAnswer: -1d48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1189*a - 1502*a = 4820 + 7074 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 5*d + 0*d - 48 + 13 = -u, -15*u = -2*d - 57 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12aaa - -3?\nAnswer: 12ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*m*o**2 + 6*m*o + m - 3*o + 21 with respect to o.\nAnswer: 24*m*o + 6*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9)*-87)\/(18*(-37)\/(-1998))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 15, 4, -27, -84?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1025 from 0.4.\nAnswer: 0.5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 1 = 61 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 203793549*f - 271063070 wrt f?\nAnswer: 203793549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let w(j) = -33*j - 3. Determine g(w(y)).\nAnswer: 33*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*x**2 + 40*x**2 - 20*x**2 - 8*x**2 + 29*x**2 + 15*x**2 + 0*x**2 + 5*x**2 - 3*x**2 + (-x + 5*x - 2*x)*(-2*x - 3 + 3).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 646*f**3 - 15693*f**2 - 104472*f - 89424.\nAnswer: -(f + 1)*(f + 12)**2*(f + 621)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 394533308 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = 2*b. Let w be (-2)\/b - 55\/(-10). Suppose -2*x + w = -x. What is the least common multiple of x and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 1, l: 1, j: 2, k: 1, e: 1}. Give prob of sequence khej.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/1 + 0. Let n be 0*(1 - 3)\/2. Suppose -8*p + 6*p = n. Is h bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284274649 or -284274647?\nAnswer: -284274649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 at least as big as 10\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*d - 638230, 2*d - 638210 = -0*d + 3*n. Suppose 2*a + d - 4759117 = -4*z, -5*z + 5*a = -5549985. Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*d + 373347*c**3*s**2 + 509*c**3 - 2*c**2 - 4*c*s + 107*d*s**2 - 819*s wrt s?\nAnswer: 746694*c**3 + 214*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/64 of a hour?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*s**4 + 1 - 5 - 3 wrt s?\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 835154301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/2 + 17*b**2\/2 - 954*b. Calculate g(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**2 + 4*v**2 - 6*v + 0*v**2.\nAnswer: -2*v*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -3. Let b = q + -2. Are b and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442*s**6 - 22*s**4 + s**2 - 20564?\nAnswer: 53040*s**3 - 528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from lffuffuflffuluufcfu.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-2)*c**4*c*c**(-5)*c**(-4\/5)\/c assuming c is positive.\nAnswer: c**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -21. Suppose -10*g = -13*g + w. Suppose 244 = 2*c - 3*z, 2*c - g*z = -30 + 272. Calculate the remainder when c is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3466 + -8166. Round k to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5 - 8*d**4 - 60*d**3.\nAnswer: 4*d**3*(d - 5)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h - 2*z + 12, 58 = 3*h - 5*z. Calculate the remainder when h is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7620 divided by -5\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*m + 750*m - 37789 = -906*m - 206425 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 4*k + 7*k**2 + 5*k - 14*k - 3*k**2.\nAnswer: 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*(1 + -1). Let s = v + 0. Let g be 2\/(-3)*(-3)\/6. Is g >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -18\/601 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -4*j, 3*m = -3*j + 12. Suppose -6*o + 904 + 1406 = m. Suppose 5*t + o = 5*v, -5*t + 28 - 8 = 0. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10302*c + 17153*c - 15486*c in the form h + s*c and give s.\nAnswer: -8635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588941 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55.5 + 56. Let b = -0.2 - 0.8. Let a = 0.7 - 0.5. Put b, a, k in descending order.\nAnswer: k, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 10*k**3 - 8190*k**2 - 5*k + 4087. Determine c(819).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -6.99084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 - 8. Suppose 57*c - 72*c = 2760. Let x = n - c. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**9\/20160 - j**8\/6720 + j**7\/280 + j**5\/20 + 8*j**2. Let w(m) be the third derivative of o(m). Find p such that w(p) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492 divide 2255169287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283962, 283981, 284012, 284055, 284110, 284177, 284256?\nAnswer: 284347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.45016725 rounded to 4 dps?\nAnswer: 1.4502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 4114\/231 - (-6)\/(-9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28642 - 12*n - 28713 + 57362.\nAnswer: -12*n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4\/4 + 9*t**3 - 153*t**2\/4 + 66*t - 36 = 0.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 b, and 1 f when four letters picked without replacement from {b: 4, h: 1, l: 4, f: 1, w: 3}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 10:23 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08778778572 to 5 dps.\nAnswer: 0.08779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-5 - -20 - -1 - -36)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 542.6428.\nAnswer: 546.6428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - -56?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -9, -2 in descending order.\nAnswer: 48, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 24 - 4. Suppose -2 = -2*b + s. Let y = -45 - -77. Calculate the greatest common divisor of b and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 10*g**3\/3 + 38. Let x(i) = -11*i. Determine n(x(f)).\nAnswer: 1210*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2\/9 + 167162*i\/3 + 2507405\/9 = 0. What is i?\nAnswer: -501481, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*b - 42*b + 3762. Calculate the remainder when b is divided by 2*((-91)\/14)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3\/4 - 255*y**2\/2 - 513*y\/4 = 0.\nAnswer: -1, 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*t - 898*t + 48896 = -1570*t for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/933 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 348 + -345. Solve b*l - 12 = 5*t, t + 0 + 4 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 96*s - 20. Let a be n(10). Let x = 649 + a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154 - -154. Let m(y) = 6*y + 30. Let f be m(z). Calculate the greatest common factor of f and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*((-12)\/20)\/((-90)\/(-250)))\/(-3)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvv. What is prob of picking 1 v and 1 f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/2 + k**4\/2 + 7*k**3 + 13*k**2 + 19*k\/2 + 5\/2.\nAnswer: -(k - 5)*(k + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - 15*f - 24. Let x be z(-4). What is the third derivative of -5*o**2 + 335*o**3 + 8*o**4 - x*o**6 - 3*o - 166*o**3 - 169*o**3 wrt o?\nAnswer: -480*o**3 + 192*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000121 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 b when three letters picked without replacement from bnbnbbbbnnnrnbbrnb?\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106.25 + -125. Let k = r - 0.25. Let q = k - -18. Is -6 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 4*m + 6. Calculate z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21615664?\nAnswer: 2, 7, 79, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 17, n: 2}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - (6 - (0 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiittiitiit. Give prob of sequence iti.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/72 - (-2268)\/784.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from ooot.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59187234157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*o - 497*o = 595 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 7097?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.4 - -18. Let o = -0.6 + y. Let v = 1.0000052 - o. What is v rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 3 = 0. Suppose -k - 4 = 5*p + k, -b*k - 6 = 5*p. Solve -4*d - 3*r + 6 = 0, -d + p*d + 4*r - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 35*n**2 + 94*n + 2439. Determine l(39).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*sqrt(140)*-2)\/sqrt(7))\/(1*(1*sqrt(20) + sqrt(20))\/sqrt(5)*5).\nAnswer: 18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/32)\/(17\/(204\/100)*18\/(-24)).\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(-13)*r**(-2)*r*(r*r**(-4\/3))\/r*r assuming r is positive.\nAnswer: r**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 741 - 6667\/9. Suppose -k*m + 0 + 2\/3*m**2 + 2\/9*m**4 - 2\/3*m**3 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6 (b) 0.03 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + z + 2. Let x be h(-1). Suppose -2*m + 3*m + 5*f = x, f = 3*m. Solve -6 = 3*g - m*g + 3*k, 3*g + 5*k = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -4 (b) 114.75 (c) 0.5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7431\/4 + 1845. Let h be (-4 - (0 + -5))\/(-1). Calculate the common denominator of ((-9)\/(-6) + 0 + h)*37 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 81 - 46. Is 2 - -6 - (5 + h - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6276*o = -6307*o + 62 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -413, -1397, -3335, -6551?\nAnswer: -11369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*u = -7594 - 2544. Suppose -p + 3*t = -5*p - 4, 0 = -p + 5*t - 1. Calculate the remainder when u is divided by p\/(1 + 40\/(-38)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhgnnhneege. Give prob of sequence een.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 8, -4*o - 4 + 36 = 4*b. Let w be 3\/b + 135\/(-36). Let x be (-1 - w - 1)*19. Calculate the highest common factor of 209 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1595*p = -809*p - 805*p - 114 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 39. Let g = -119 - t. Calculate the common denominator of ((-310)\/g)\/(-1 + 0) and -55\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -2220?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*z - 38 = 0, -z - 11 = -3*r + 3. Let v(w) = 0 + 8*w + 1 - 2 - r - 2*w**2. Calculate v(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3352752 and 869232?\nAnswer: 23469264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4518*i + 21 = 9045*i - 4525*i, 6*k - 16 = -2*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 829*l - 34 + l**2 - 4*l**2 - 12 - 846*l + l**2. Calculate i(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752391 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 7*w**2 + 6*w - 5. Give u(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2334 and -253469?\nAnswer: 251135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 58.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 33524?\nAnswer: -33504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4424 = 2188*h + 48 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -16. Let q(p) = -7 - 4*p + 2*p + v*p + p. Let x = 12 + -6. What is q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12)*(-6)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.887641714 to two dps.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/24 - (-19)\/4. What is the second derivative of -h*q - 2*q**2 + q + 5*q wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*b**3 - 79*b**3 - 33*b**3 + 127*b**3.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 607036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102*g*q*w**2 + 2*g*q + 16*g*w**2 + 37*g*w - g + 2*q*w**2 - q wrt w.\nAnswer: -204*g*q + 32*g + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 1525273894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**33)**(-25\/6) assuming q is positive.\nAnswer: q**(-275\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13.58 (b) -46.4 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 6*i - 2*i + 10, -5*i + 4*z = -8. Suppose 9 = 2*c - 5. Suppose i*b + c = b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -621\/22 = -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -13. Let m(v) be the third derivative of -1\/20*v**5 + 0 + 0*v**3 + y*v**2 - 1\/8*v**4 + 0*v. Find the second derivative of m(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26955\/27 + 1\/(-3). Let z be (r + 0)*(-18)\/(-12). Suppose -n - 2*n + z = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43496273 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 8*p - 2. Suppose 0 = 2*r - 4, 3*t + 0*r = -5*r + 13. Suppose 4*b - 15 = t. Suppose 0 = b*i - n + 16, 2*i - 5*n + 7 = -19. What is q(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let p(y) = y - 38. Let i(f) = -3*f + 5. Let u(j) = -2*j + 3. Let h(b) = 3*i(b) - 5*u(b). Let c(k) = -2*h(k) + p(k). Give s(c(z)).\nAnswer: 2*z**2 + 152*z + 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8*c**2 - 5. Let x(q) be the third derivative of q**4\/12 - 5*q**2 - 4. Determine z(x(t)).\nAnswer: 32*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.003*-189116.\nAnswer: 567.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -1.7. Put -2, -2\/21, p in ascending order.\nAnswer: -2, p, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2)*-2 + (sqrt(128) - 1*sqrt(128)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/102908352 and -47\/68605568.\nAnswer: 205816704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 400 (c) 163 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1025284.031 and 26876.\nAnswer: 1052160.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -169, -334, -499, -664, -829, -994?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 119.29 in -0.02, 12, 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 22*y + 20*y = 15, 4*y = -4*i. Suppose -a + 4*j - 15 = 0, 0 = 3*a + 4*j - i*j + 1. Solve -u + a = -h, 5*u + 4 + 7 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 34*x**2 - 32*x + 16. What is n(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355605 = 17*f - 456298. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 5) in base 16?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 - 5*b - 4. Let h be f(3). What is the third derivative of -13*r**5 - h + 4*r**2 + 8 wrt r?\nAnswer: -780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/23))**36*(o*o*o**(-2\/45))\/(o*o*o**(-30)) assuming o is positive.\nAnswer: o**(27764\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 27c9?\nAnswer: -27cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*m = -6, -a - m = 4*a - 3. Suppose 2*u - 6 = -0*u. Let l = u - 2. Is l equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 - -2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*a + 230*a = -101*a + 35*a + 15678 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 7*p**2 - 3. Let c be f(-7). Let k = -22 + 26. Sort k, c, 5 in descending order.\nAnswer: 5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 64 + 20. Suppose 4*a - 4*y - 48 = 0, 2*y = -2*a + y + 30. What is the smallest common multiple of a and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888924 is divided by 89945?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653884 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c**5\/7 - 1486*c**4\/7 + 6540*c**3 - 30190*c**2\/7 - 99808*c\/7 - 3192 = 0 for c.\nAnswer: -1, -1\/4, 2, 38, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1334 = 4*w - 2*v, -2*w - 657 = -0*w + v. Which is greater: w or -332?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**13))\/t*t\/t**(2\/25)*t)**(3\/8) assuming t is positive.\nAnswer: t**(261\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949273 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - 3*m**2 + 5*m**2)*(3*m**3 - m**3 + 0*m**3) + 3*m**5 - 5*m**5 + m**5 - 420*m**5 + 153*m**5 + 268*m**5 - 4125*m**4.\nAnswer: -2*m**5 - 4125*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 3*h + 3, 7*h + 20 = 2*h. Solve -x*z + 9 = -i, z = 5*i + 2 + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14556*i**3 - 29103*i**3 + 14543*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -22130111?\nAnswer: 22130120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52 - -b72d?\nAnswer: b6cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -48, -86, -124?\n\"Answer: -38*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7106652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 25. Suppose -8 = 2*y - 3*l + g, 0 = y + l + 44. What is the tens digit of (-1 - 1) + (-2 - y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w. Let l(v) = 9482*v. What is m(l(c))?\nAnswer: 37928*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/8 + 31*d**3\/6 - 26*d**2. Let y be g(9). Let o(h) = h. Let r be o(0). Solve y*c - 13 + 33 = r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 39, 80, 157, 282, 467?\n\"Answer: 2*l**3 + 3*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1961\nAnswer: 5883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -19944 and -19942 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.31 - -5.69. Which is the second biggest value? (a) -0.65 (b) m (c) -2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0*1\/(-3) + 15 + 5 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 4*h - 12. Let o = 16 - 14. Let g be ((-12)\/10)\/(o\/10). Let w be r(g). Solve 3*x - 3*i = -1 - 5, w = 5*x - 2*i + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76949 less than 76881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/9 and 132\/(-918)*(-6)\/(-72).\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 84*g**3*w - 13479*g**3 + 24*g*w - 614048*w - 265 wrt g?\nAnswer: 252*g**2*w - 40437*g**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (2 + -3 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11226, -93, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 11}. What is prob of picking 2 d?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*m + 163*m - 76*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/83)*m)\/m)**(-32) assuming m is positive.\nAnswer: m**(64\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n + 10. Let u = 6 - 4. Suppose 0 = -v - 4*v - u*r + 7, 3 = 5*v - 2*r. Which is the closest to 2\/9? (a) n (b) v (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*f + 26, 2*f + 3*m = 6*f - 3. Let h(s) = -69*s + 9. Let g be h(f). What is the common denominator of (14\/(-54))\/((-9)\/g) and 38\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 189*f + 940. Let a be p(-5). Put a, -3, -384 in descending order.\nAnswer: -3, a, -384","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 11986020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 4\/3*-51. Suppose 5*t + 2 = 52. What is the greatest common divisor of s and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from uxxkuuxfufnfxxun?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-35)\/(-5))\/(14742\/(-702)))\/(8\/((-4)\/2)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 169 - 25. Suppose 0 = 2*i - 6*i - 5*z + 257, 5*z = -3*i + o. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -5282?\nAnswer: -5\/5282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 1, 8, 19, 34, 53?\n\"Answer: 2*t**2 - 3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -4)*-1 - -87. Suppose 0*d = 5*d, 3*d = 4*z - u. What is the remainder when 131 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {e: 1, i: 2, z: 2, u: 2, m: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.227101 litres in millilitres?\nAnswer: 2227.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363202305.\nAnswer: 3, 5, 163, 148549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7911.593 kilograms in micrograms?\nAnswer: 7911593000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 271.00000097 - 271. Round f to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-3 + 5) - -3. Suppose -3*l + 27 = -a*l. Suppose 7 = 2*i - l. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 115. Let f = 151 + -170. Let i be y(f). Solve 45*z - i*z = 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -173*x + 159*x + 0 + 15 - 22 + x**2. Calculate c(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100.82 - 101. Let w = f - 13.82. What is the third smallest value in -5, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b**4 + 5*b + 0*b**2 - 2\/5*b**5 - 2 + 0*b**3. What is the derivative of j(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/7, 1\/58, -0.4, -0.03?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from appllsjh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*i + 345*i**2 - 175*i - 347*i**2)*(-10 - 10 + 25) to n*i**2 + m*i + t and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -15.356\nAnswer: 10.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/7, -12\/829 in descending order.\nAnswer: 0.5, 2\/7, -12\/829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 126*u**2 - 2288*u**6 + 164*u**4 - 4117*u**2 - 1143*u**6 - 164*u**4 wrt u?\nAnswer: -411720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grbo when four letters picked without replacement from {t: 1, r: 1, o: 1, g: 1, b: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -99, -403, -1205, -2733, -5215, -8879, -13953?\n\"Answer: -38*s**3 - 21*s**2 + 25*s - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7087 or -440?\nAnswer: -440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 737*l**2 - 47761*l - 47023.\nAnswer: (l - 797)*(l + 1)*(l + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 230 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 5*b**2 + 9*b - 19. Let m be z(-9). Suppose 225*w = m*w. Do 2\/153 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/60 - l**4\/3 + l**3\/3 - 2*l**2. Let z be r(8). Suppose -4*w = -z*w - 14. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*1*34\/238.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -264? (a) -0.5 (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22795, -39088, -55381, -71674, -87967, -104260?\n\"Answer: -16293*y - 6502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/36857 + 147434\/110571. Find the common denominator of u and 87\/2948.\nAnswer: 8844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -354569 or -354568?\nAnswer: -354568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 3. Let v = s + -17. Let d = v + 19. Which is the third biggest value? (a) 4 (b) d (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1110?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10205 and 328130.\nAnswer: 4265690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + g = -7, -2*g = 2*d - g - 13. Suppose -d*j - 76 = -6*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 7*v**2 + 21*v + 9. Determine r(-6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*m + 165*m - 2766 = 1194 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 6*t - 5*u, -18 = -2*t + 592*u - 587*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2355 and 21666.\nAnswer: 108330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7779 at most as big as -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 121, 84, 11, -110, -291, -544, -881?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68422, 68421, 68420, 68419, 68418?\nAnswer: 68417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3861753 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 32. Does 3 divide x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.7 and -0.2706.\nAnswer: 2.08362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m - 24 = -55*m - 4*v, -m = -5*v + 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*i**3 - 35*i**5 - 12*i**3 + 27*i**2 - 8*i**3 wrt i?\nAnswer: -2100*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 719 = -2*y, 0 = 5*y - 4*y + x - 360. Suppose 260 = 3*o + 5*t, 4*o - y + 16 = -3*t. Let g = o - 48. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - x - 371 = 0, -5*u + 4*x = -1654 - 201. Let q = -141 + u. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 321.8410935 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 167\/927 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or -1?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 26*u**2 + 1. List the prime factors of v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzpbhphzpbbepphbbp. What is prob of sequence pze?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 1. Put k, -2\/7, 1 in decreasing order.\nAnswer: k, 1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/8 - (-34)\/2. Let g be 12\/l + 9536\/6. What is g rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 13 - 7 = u, -g - 3*u = 20. Which is greater: g or -17\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p + 3*u - 5 = 0, -4*u = -p + 5. Solve 0 = 3*q + k - p, -2 = -3*q + k + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 14. Let b be (-4)\/(-14) + 10\/w. What is the remainder when 10 is divided by 3\/(3 + -3 + b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1917 = 999*u + 12134 - 1064 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 4 - 3*h + 0*h**2 + 1\/3*h**3. Differentiate l(s) with respect to s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -875593?\nAnswer: 875595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-1 - -2) - -4. Suppose -4*m + m = 0, m + 3 = z. What is the second derivative of 0*k**z + 0*k**l - 2*k + k**3 wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 9*l + 1. Let z(y) = -3*y**2 + 1380*y + 4. What is 4*b(n) - z(n)?\nAnswer: -n**2 - 1344*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(108)*2 + (sqrt(108) - (-2 + -1*sqrt(108))))**2 - (-3 + 2*(-1*sqrt(108) + sqrt(108))**2 + sqrt(108))).\nAnswer: 414*sqrt(3) + 11685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v - 6*v - 22*v - 3*v + 18*v - 3*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 16*k**2 + 5*k + 19. Calculate the remainder when 360 is divided by d(16).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006458 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p - 4. Let j(g) = 3*g + 1. Determine -9*j(w) - 2*n(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 + 2*x**2 - 2*x - 2. Let g(q) = q**4 + q**3 - q - 1. Let p(w) = f(w) - 2*g(w). Factor p(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 7) to base 2\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) -40 (d) -5 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -37884*h**3 - 6 + 8*h**2 - 3*h**2 + 2*h**2 + 37883*h**3 as x + b*h + o*h**2 + q*h**3 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) 2\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 4:54 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 41. Suppose -x*f - 5 = -65. Let z(u) = 5*u. Let a be z(1). Solve -2*d = -r - a, f*r + 1 = 4*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9748, 9764, 9790, 9826?\nAnswer: 9872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79562325 to the power of 1\/2, to the nearest integer?\nAnswer: 8920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 + 98*d - 579. Determine c(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 4 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(10)\/sqrt(5) - (sqrt(12)*-1)\/sqrt(6))**2 - ((3*sqrt(20)\/sqrt(2))\/sqrt(5))**2.\nAnswer: -16*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 3*y**2 + 8 + y - 3*y**2 + 4*y. Let a be z(8). Let d be -2*(12\/a)\/3. Which is bigger: 23 or d?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - -10 - (-1)\/(-1). Suppose 2 = 5*z - u - 7, -3*z - 5*u - 17 = 0. Let c(t) = t**3 - z - t**2 + 0*t**2 - w + t. What is c(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.34271006 rounded to 3 decimal places?\nAnswer: -6.343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 3, 6, 0 in descending order.\nAnswer: 85, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15\/2 + -101\/14. Are -0.9 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-7)\/21)\/((-2)\/108 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4600239?\nAnswer: -2\/4600239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v - 2*v + 0*v. Let c(h) = 9*h**2 + 14*h. Let d(j) = -5*j**2 - 8*j. Let t(n) = 4*c(n) + 7*d(n). Determine t(i(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 23*h. Let k(m) = -7*m**2. Determine k(d(c)).\nAnswer: -3703*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/r**0)\/r)\/(r*r**(1\/22)) assuming r is positive.\nAnswer: r**(-1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -12*r**2. Let i(u) = -u**2. Give 32*i(n) - 3*v(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1036.3151859 - 1036.3. Round s to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 706*l + 22071. Determine v(-136).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -135. Let i = m + 89. Calculate the remainder when i is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 1, n: 1, g: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9650 - 9759 - 13081\/(-120).\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:04 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = -5*a, -56 = -4*a - 3*q - 67. Sort 3, 43, 4, a.\nAnswer: a, 3, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 842 - -2639?\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5901 - -5900.99995214. What is v rounded to six dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*q = 1 + 2, -3*u = -2*q + 17. Let k(m) = m**3 + 6*m**2 - m - 3. Calculate the remainder when k(u) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (370\/30 - 1) + (-4)\/(-6). List the prime factors of (16\/t)\/((-22)\/(-10131)).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 + -89. Suppose 5*a - 4*i = 29, -a + 5*i = -3*a + 5. Let m(u) = -1. Let z(g) = -g**2 + g + 5. Let x(r) = a*m(r) + o*z(r). Let x(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 28 = -3*c, 0 = 2*c - c. Suppose 0 = o*m - 193 - 52. Is m a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 283 + 3810. Let j = n - 4092.99996793. Round j to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444 and 2388.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4812842880 to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5844*z**2 + 9966*z**2 + z - z - 2959*z**2.\nAnswer: 12851*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/14*1645\/(-470)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5018 (base 10) to base 12.\nAnswer: -2aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574561.\nAnswer: 13, 193, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -15 - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12088327, 24176666, 36265005, 48353344, 60441683, 72530022?\nAnswer: 84618361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-8)*(-18)\/(-15). Suppose -4*r + 5*j = 8, -q*r = -2*j - 4 + 3. Let h(x) = -x**3 + 4*x**2 - x - 3. Does 2 divide h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/2 + 2*-1. Let r(s) = -2*s**2. Let u(a) = 63*a - 305. Let m be u(5). Let z(b) = -b**3 - 5*b**2. Determine c*z(x) + m*r(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v**2 - 56*v + 56 + 52*v + 50*v**2 - 25*v**2 - 112*v = 0 for v.\nAnswer: 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 35 + 0 = 0. Is -8\/21 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkh when three letters picked without replacement from {s: 1, w: 1, h: 3, p: 1, k: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m - 10. Let g be w(5). Let d be 4\/(-5) + 1078\/g. Is -1\/2 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + g + 0*g)*(g**4 + 0*g**4 + 0*g**4) + (2 - 1 + 1)*(14 - 14 + 22*g**5).\nAnswer: 45*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - -0.2. Let z be 5 - (-52860)\/(-4812) - (-12)\/2. Let r = z - -784\/1203. Which is the biggest value? (a) 3 (b) -0.02 (c) r (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = -2*o - 3*n, -3*o - 25*n - 55 = -173 - 71 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42029238 to the nearest integer?\nAnswer: 6483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*t + 948 + 52672 = 1004*t - 30564 for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*z**3 - 2 + 7 + 3*z**2 + 15*z + 5 - 4.\nAnswer: -3*(z - 2)*(z + 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13777 = 4*s - 26223. Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87665105.\nAnswer: 5, 11, 47, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 46 = -16*w. Let d(h) = 5*h**3 + 2*h + 17*h**2 - 50*h**w + 33*h**2 - h. Give d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1125175736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:01 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/(16\/(4608\/40))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9*j + 315. Let h be n(35). Is (2\/(-6))\/(h + 1\/(-23757)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/t**(-3\/7))**(-46)*(t**(-1)*t**(-3))\/(t\/(t\/(t**(2\/3)\/t)))**(-1\/17) assuming t is positive.\nAnswer: t**(-74161\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 18*n + 12. Solve -22 = -5*y + 3*f, -n*f - 8 = -y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x. Let j = -27\/16 - -3\/16. Let r = -10 + 6. Which is the nearest to x? (a) j (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**3 + 5*b**2 + 10*b - 23. Give u(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 13021?\nAnswer: 13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 31. Let g(b) = 4*b + 10. Let x be g(-7). Let z = -14 - x. Solve 0*s = z*s - r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -5 (c) 5 (d) -135 (e) -6371\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**4\/4 - c**3\/3 + 5*c**2\/2 - 5*c - 5451. Calculate u(-3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 3*k**2 + 4. Determine d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 90405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33752270 rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19660 - -19674. What is the greatest common divisor of 2191 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -34*x - 645. Calculate o(-22).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*p + 376368 - 375344 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 866167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**4 + 3*c**4 + 3*c**4 + (1 - 1 + c)*(0*c**3 - 2*c**3 + 4*c**3) - 4*c**3 + 4*c**4 + 4*c**3.\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23b1 (base 14) to base 9.\nAnswer: -8483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-11))\/(-1*4)*(-2)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 187*n**2 - 730*n + 374. What is v(-183)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6475 divided by 185?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14431 (base 5) to base 15.\nAnswer: -57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 12535116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101781 and 2245632?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 1)*(-39 - 50 - 25)*(-5 - 22*n - 6 + 11) to the form j*n + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22750 and 122580250.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-11 - (-5 + -25 + 33)) + -83 + -1\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.1 (b) 5 (c) -2\/7 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*1*(-120)\/6. Differentiate x*w**2 - 6 + 1 + 2 - 1 with respect to w.\nAnswer: 20*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**3 + 2*k**2 - 15*k + 104. List the prime factors of s(-7).\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -713 - -751. Let n(g) = -14*g - 13*g + z*g - 10*g. Let h(o) = -o**2 - 85*o. Give h(n(b)).\nAnswer: -b**2 - 85*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -389*x**5 + 3*x**3 + 2*x**2 + 2*x + 18673?\nAnswer: -7780*x**3 + 18*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 845*n. Let u(a) = 2*a**2 - 24*a**2 + 0 + 19*a**2 + 0. What is z(u(l))?\nAnswer: -2535*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a. Let t(k) = -3*k. Let b be 5\/2*(-72)\/(-15). Let i(o) = -11*o. Let u(r) = b*t(r) - 3*i(r). Calculate w(u(g)).\nAnswer: 57*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((4 - 7) + -18 + 7) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1c6 (base 16) to base 14\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 26592 + 30048 = -i, -35429 = -5*z - 3*i. What are the prime factors of z?\nAnswer: 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 69 - 17 = 0. Let j(b) = 9*b + 10. Let c be j(r). Suppose -x + c = -a, -2*x + a = 2*a - 239. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*t**2 - 58*t**2 + 45*t**2 + 173*t**2 + 71*t**2)*(35 - 35 - 7*t**3).\nAnswer: -2065*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 8) in base 9?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-21) - 5878*(-3)\/42. Calculate the highest common divisor of 315 and i.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2196043 is divided by 510?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1227*o = -1141*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 12:33 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2253)\/2)\/(-18 - 1833\/(-104)).\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 9. Is 15 a factor of x(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 38*x + 10. What is t(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 22*c - 130. Give d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/253 and 8\/864133.\nAnswer: 9505463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -20304053?\nAnswer: 20304042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 3)*(-2)\/3. Let c(k) = 55*k**2 - 34*k**2 - 8*k - 23*k**2 - 3. Let z(n) = -2*n - 1. Let b(s) = -c(s) + 2*z(s). Calculate b(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6849057 less than or equal to -13698111\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 88 = 5*d, 0 = z - 5 + 3. Let u = -30 + 21. Let v be ((-6)\/(-8))\/(u\/(-24)). Solve 5*h = -2*f - 3*f - 30, v*h + 5*f = -d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560.105657 rounded to the nearest integer?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13005 is divided by 1159?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31645 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 922367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*l)*(2*l + 3*l - 2*l) - 21*l**2 - 13*l + 13*l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1189069.934 to the nearest 10000.\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 664 + -552. What is the greatest common divisor of 84 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854074103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 80*o**4 - 20*o**4 + 26*o**4 + (3*o - 8*o - 3*o)*(o**3 + 2*o**2 - 2*o**2).\nAnswer: 78*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -o + 5*o - 5*l, -o - 3*l - 3 = 0. Let u(i) = 417*i - 8. Is u(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:06 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 148*w - 55*w - 68*w - 62*w.\nAnswer: -37*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.0179 and 0.0436554.\nAnswer: 1.0615554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 300 = 0. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 + 5*k - 11. Let l(n) = -4*n**2 + 2*n - 5. Let q(s) = 5*l(s) - 3*v(s). Let h be q(4). Suppose h*f - 3*f - 887 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(-3\/2)*v*v)\/v))\/((v\/v**17)\/v))**(-2\/79) assuming v is positive.\nAnswer: v**(-35\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 2*i + i)*(0 - 1 + 0)*(2513 + 1889 - 2780 + 2*i) to the form g*i + s + h*i**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (17 + -4 - 3)*10. Suppose 0 = 2*s + 2*s - m. Let q = 39 - s. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/77)\/(1\/35). Suppose 2*m = 5 + 5, k = -5*f + 5*m. Suppose 0 = 4*w - 4*t - 8, w - f*w = -4*t - 4. Solve -2*r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96036.7555 rounded to the nearest 10?\nAnswer: 96040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) -2 (c) -4\/5 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1139\/5 - 37852\/165. Calculate the common denominator of k and (-9 - (1 + (-740)\/75))\/((-32)\/205).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:08 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 - 2*y - 5. What is the units digit of a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1554, 3165, 4948, 7011, 9462, 12409?\n\"Answer: 18*x**3 - 22*x**2 + 1551*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385564 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 61842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-1530)\/12)*-5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(75)\/sqrt(5) + sqrt(15) - (sqrt(240)*-2 - sqrt(240)))\/(-1*-2*1*sqrt(363)).\nAnswer: 7*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1 (c) -1\/3 (d) 1674\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (-6138)\/72. Calculate the highest common factor of i and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(56)\/(sqrt(16)\/sqrt(2)) - 6*(sqrt(7) - (sqrt(28) - sqrt(7))))**2 + -2*(-5*(sqrt(7) + sqrt(63)\/sqrt(9)))**2).\nAnswer: 8358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 12*c + 6. Let l be (-1 + 2)*-1*11. Let b be a(l). Let v(x) be the third derivative of x**5\/60 + 5*x**4\/24 - x**3\/6 + x**2. Determine v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84627 + -2.\nAnswer: -84629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13136 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 the least common multiple of 399 and (567 - -58) + (-2)\/(-1)?\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -231, -251, -261, -255, -227?\n\"Answer: s**3 - s**2 - 24*s - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -231178 * -0.06.\nAnswer: 13870.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 33. Let p(b) = -55*b + 4. Let n(g) = -114*g + 9. Let k(a) = -3*n(a) + 7*p(a). Determine x(k(w)).\nAnswer: -3698*w**2 + 172*w + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 2. Let r = v - -67. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96576481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*d + 2*b + 8, 0 = -5*b + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2340 + 30?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2214.02 - -2214. Is 165 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(3*p**2 - 3*p**2 + 2*p**3) - 7*p**3 - 2 + 3*p**3 + 5*p**3.\nAnswer: 3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 4105 = s - 2637 - 2076 for s.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnii when four letters picked without replacement from {i: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 2554. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from iciiiicciii.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*3*2. Let s be (1\/x + -1)*-2. Let l = 4 - 7. Which is the nearest to s? (a) 2\/19 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 9:13 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 57. Suppose 0 = 42*p - 53*p + 11. Which is the second biggest value? (a) -5 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 7*a**2 + 3*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.097771 less than -24733164?\nAnswer: -24733163.902229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + 14. Suppose -3*n + 5*s + q = n, n - 4*s + 6 = 0. Suppose 0 = -4*j + 5*y + 7, 0*y = -4*j - 2*y - n. Put -8, j, 3 in increasing order.\nAnswer: -8, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.036, 2.3 in decreasing order.\nAnswer: 2.3, 2, -0.036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 23\/12*d**4 + 0 + 1\/3*d**3 - 1\/2*d**2 - 2*d. Does 12 divide k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 33*h + 4 = 0. Let b(p) = p + 5. Determine b(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 4, w: 1, l: 1, h: 2, o: 3}. What is prob of sequence lpp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -11. Let i = -15 - -85. Let s be i\/3*(-12)\/(-8). Calculate the highest common factor of t and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12255*d - 784315. Determine b(-64).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8049660 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. Suppose -2*w + k - 16 = -2*k, 2*w - m*k = -16. Is -9 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 12:43 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549548?\nAnswer: 2, 137387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1100*z**2 + 2*z - 35. Is l(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3935756079 to the power of 1\/4, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1645 - -1650. Let i(c) be the third derivative of 0 + 1\/30*c**w + 0*c**4 + 0*c + 0*c**3 - 14*c**2. Let l(t) = 13*t. What is i(l(u))?\nAnswer: 338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 28. What is the remainder when 70 - (3 + (-3 - -3)) is divided by o(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from kkqkkkqkkkqkqk?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 101100?\nAnswer: -101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - ((20 - 31) + 44 - -75)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = -y + 6, -4*u - 4*y - 4 = 0. Suppose 4*z - 105 - 31 = u*o, 2*z - 68 = -2*o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:21 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*m + 67 = 0, 5*y = y + 5*m + 189. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(1 - 9\/6). Let r = t + -2. Let u(y) = 4*y**2 - 8. Let f(g) = 11*g**2 - g - 23. Let s(z) = -3*f(z) + 8*u(z). Give s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.17 (b) -1\/6 (c) 17 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 + 103. Suppose 3*u - k - 6 = 0. Solve 6 = 4*l - 2*v - 0*v, -2*v + u = 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28974, 28970, 28964, 28956, 28946, 28934?\nAnswer: 28920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -0.032, 3\/137, -17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978.331739 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a. Let w(p) = -20*p + 12*p + 17*p - 4*p**2. Give -9*l(v) - 2*w(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 308458 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9 - -6) + 2)\/(2\/10). Let u(k) = -4*k - 1. Let i(x) = -3*x - 1. Let h(s) = l*u(s) + 7*i(s). Let q be (2\/4)\/(2\/(-12)). Determine h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7157.1 + -7157. Let p(c) = -c - 1. Let j be p(-2). Let m = -3.02 - -0.02. What is the closest to 0.3 in m, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-1 + 5 - -3 - (-2 + 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -101004 + 1*(-12)\/(-3). What is f rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = n + 175, 23*t - 156 = 19*t + 4*n. Let k be ((-8)\/(-5))\/(t\/(-85)). Let g = 2 + -13. Put 1, g, k in ascending order.\nAnswer: g, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 5*s + 2. Let w be (4*1)\/(-11 + 207\/18). Let q(h) = 5*h**2 - 14*h + 6. Calculate w*x(c) - 3*q(c).\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 9*u**4\/8 - u**3\/3 - 6*u**2. Let v(o) = o**3 - 9*o**2 - o + 13. Let a be v(9). Is k(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-726*y - 20 - 41 + 722*y)*(-7*y + y + 4*y).\nAnswer: 8*y**2 + 122*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 - t. Let f be j(2). Suppose -5*d - 3*a = -33, -47 + f = -d + 5*a. What is the remainder when 295\/15 + -4*(-1)\/(-6) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181 = -239*v + 1926 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25472566 and 626.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from iiviipiiciiikkic.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-84)*-7*(-2)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 118\/18 - 8\/((-72)\/(40\/10))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 + 13*y - 92. Let w(h) = -25*h**2 - 64*h + 461. Let m(d) = -11*t(d) - 2*w(d). Factor m(l).\nAnswer: -5*(l - 3)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 1272 = -3*s, 0 = -15*s + 11*s - 16. Let o = 1298 - d. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(2\/5)*j*j))\/j**0*j**(-2)\/j**(-3\/2) assuming j is positive.\nAnswer: j**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-11) + 1*4. Suppose -o = -j + 2. Suppose -h = -2*p + 23592, -2*p + o*p + 12 = 0. Round h to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 33*z**2 - 23*z + 261. Calculate d(-34).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -6, 3.6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 623 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59983 and 2255.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1720811 millimeters to centimeters.\nAnswer: 0.01720811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9 = u. Suppose -u*g = -3*l - 0*l - 9, g = 4*l + 9. Let n be ((-1)\/l)\/(2\/4). Solve -2*j + 2 = -5*c - n, 0 = -2*c - 2*j + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 39. Let p be -2 + c\/(-7 - -3). Let d be (-4)\/p + 144\/60. Sort 3, 1, d.\nAnswer: 1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 24*b. Let y(f) = -2*f**2 + 6. Let p(l) = -10*l**2 + 28. Let t(v) = 6*p(v) - 28*y(v). Calculate m(t(g)).\nAnswer: -96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-2)**2 + 2 + 0 + -4.\nAnswer: 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18519480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2)*(-1 + 4 - 1)*(2499*m**2 - 1179*m**2 + 2037*m**2 + 2422*m**2 + 964*m**2).\nAnswer: 67430*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 4\/((-8)\/(-2)) + -36 + (3 - -8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 - 16*x**2 + 27*x + 7. What is g(3)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 11*a + 18. Let h be o(8). Let q = 8 - h. Is q equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23080, -26, 102, -3 in ascending order.\nAnswer: -26, -3, 4, 102, 23080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, t: 3}. Give prob of picking 3 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1321*u - 1321*u + 2259*u**2 to the form w + p*u**2 + k*u and give p.\nAnswer: 2259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2 - 8*o - 5 - o**2 + 0*o**2. Let n be z(-6). Suppose -140 = -10*w - 25*w. Solve -4*a + 12 = -n*x, 3 = w*x - 0*x + a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887*n + 1029 = 894*n. Solve -n*i = -151*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -804 + 1039. Calculate the highest common divisor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -4*u**5\/5 - 3*u**4 + 8*u**2 - 12. What is r in i(r) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 2. Suppose -5*t - 26 = -4*p, t + 3*t + 27 = -3*p. Let f(b) = b - 1. Let x(d) = t*s(d) + 5*f(d). Let n(o) = 3. What is -5*n(y) + 2*x(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -14.0068. What is p rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u**3 - 364*u**2 - 2*u + 7. Let w(p) = -5*p**3 - 183*p**2 - p + 3. What is -3*o(y) + 7*w(y)?\nAnswer: -2*y**3 - 189*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwfwwwwwwwwwwfwwfwf. What is prob of picking 1 f and 1 w?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 225, 2\/9, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 37623016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 219\/30 + (-3)\/(-1) and -127\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:49 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4 + 11*f**3 + 19*f**2 + 13*f + 3 = 0. Calculate f.\nAnswer: -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**3 - 5*g**2 + 7*g + 5. Let k(q) = -8*q**3 - 6*q**2 + 8*q + 5. Let y(f) = 7*a(f) - 6*k(f). Let h be y(0). Solve h*s + 4 = -1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + (-1 + -7 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57331, 458604, 1547767, 3668764, 7165539?\n\"Answer: 57324*j**3 + j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2057)*6 + (sqrt(2057) - sqrt(2057)*-4)*2)**2.\nAnswer: 131648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*z - 84 = -f, 3*f - 3*z = 60. Suppose -3*h + f = 4. What are the prime factors of (3 - h) + 48\/1?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 32.3. What is the second biggest value in -2, l, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -659 + 659. Let -13*d**2 - 4*d + 19*d**2 - 2 - 1 - 7*d**2 + t*d = 0. What is d?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 331\/4 + -85. What is the fourth biggest value in y, -2, -1\/4, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = u - 8, -h + 13 = 4*u - 38. Suppose 8*g + 40 = u*g. Calculate the highest common factor of g and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*h = -7, 0 = -0*a + 4*a - 2*h. Let o(w) = -1. Let n(g) = -g - 7. Let r(k) = a*n(k) + o(k). Differentiate r(q) with respect to q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14926903 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:37 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9*m)\/((m*m**(-22)\/m)\/m*m)*(m*m*m**(7\/3)\/m*m)\/m**(-23) assuming m is positive.\nAnswer: m**(178\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.6335 centimeters in millimeters?\nAnswer: 626.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6206881?\nAnswer: 977, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251 + 253. Let r(f) = 3*f**2 - 8*f**2 - 2*f**c - 2*f**2 - 7*f**2 - 2*f. Let m(k) = 2*k**2. What is r(m(q))?\nAnswer: -64*q**4 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10809 - -10805. Sort -3, 4, 1, y, -1 in descending order.\nAnswer: 4, 1, -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453944979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1347*h + 3 = 1356*h - 69 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 151?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/80 and 43\/88.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 378 and 379 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49423 is divided by 5939.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 69 = -2*t, 2*j + t + 16 = 6*t. What is the tens digit of ((-6)\/(-6))\/((-1)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + 0.98. Let y = -1.5 - -0.1. Let q = 1.6 + y. Which is the second biggest value? (a) q (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26360903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 4. Let i(g) = 5*g - 7. Suppose m + 7 = 2. Calculate m*r(b) + 3*i(b).\nAnswer: 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c. Does 9 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1\/3, 1\/110?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/18 and -119\/2801466.\nAnswer: 2801466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18 and ((-738)\/48)\/((-5)\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 14*r - 92*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-15)\/o))\/(o*o*o**(-18)) assuming o is positive.\nAnswer: o**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 55*c**2 + 341*c + 240. Let p be w(-48). Solve p = -39*x + 124 + 71 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 5*b - 6*b)*(3*b - 3*b - 2*b)*(2 + 3 - 1)*(4 - 1 - 1).\nAnswer: 176*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 = -o, -5*o + 19 = 5*r - o. Solve k - 11 = -f - r*k, -8 = -f - 3*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3, 0*b - b = 2*h - 3. Solve 0 = -o - 3*q - b, -2*o = 3*q - 4*q + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 4*m**2 - 4*m - 5. Is g(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 124, 179, 250, 343, 464, 619, 814?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 5*s**2 + 6*s + 1. Let n be u(-6). Differentiate 0 + 1 + n - 4*f**3 + f**3 with respect to f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/647 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19032 and 7294092?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -0.015164218680905?\nAnswer: 5.015164218680905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1148\/59 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - h + 3 - 3 to the form l*h**2 + o + d*h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 2*v + 50 = 0. Let t = 31 + v. Let z = -5 + t. What is the remainder when z is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.16 + 0.16. Let j = n + 13. Let o be (4\/10)\/((-27)\/15). Which is the biggest value? (a) -1 (b) o (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4696, 4509, 4308, 4087, 3840?\nAnswer: 3561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*p = -188*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3160 divided by -333?\nAnswer: 3160\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -187463803 and -187463804 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/392 + -109\/392. Which is the nearest to 1? (a) -0.2 (b) j (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(1050\/(-20)))\/(4\/(-6))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 326 times 2.472\nAnswer: 805.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - h = 18, 974*h + 26 = 4*v + 977*h for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/1252373?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - p + 8, 2*r + 3*r = -2*p + 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 28. Solve a = -g*w + 3*a + 10, w + 6 = -4*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-18)*375*171840\/(-9). Round r to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = -64*v + 43*v. What is the remainder when 61 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -125*m - 500. Let k be c(-4). Let b(g) = 4*g**3 + g**2 - 2*g + 12. What is b(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37711*c**3*f - 12*c**2 + 5*c + 15*f wrt c.\nAnswer: -226266*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/11 in -0.2, 1.6, -1\/16, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3819*n**6 - 2863*n**2 wrt n?\nAnswer: -458280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**4\/11 - 6*n**2\/11 - 4*n\/11 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3421697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = 3*a - 313, -2*p - a = -260749. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122233011100 + 23?\nAnswer: -122233011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*k**2 + 4 - 88*k**3 - 43*k**3 + 10*k**2 - 15*k**3 - 73*k**3 in the form g*k**3 + y + q*k + h*k**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/29278588 and 93\/146392940.\nAnswer: 146392940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362264636*n*t**2 - t**2 - 4*t - 3820928 wrt n.\nAnswer: -362264636*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23294 - -23300.00005. Let i = -6 + f. Round i to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**3 + 7*g**2 + g. Let q(l) = -l**3 + l**2. Let s(p) = 6*q(p) - r(p). Let d(j) = -4*j**3 - 6*j**2 - 6*j. Determine d(o) - 6*s(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.498179cm to kilometers.\nAnswer: 0.00000498179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661 (base 12) in base 9?\nAnswer: 3581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + 10. Let v be 1 - (y + 2 + 1). Solve v = 5*g - 4*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = 4*a - 4*q, -4*a = -5*q - 14. Suppose -3*l + a + 8 = 0. Suppose 3*b + 552 = l*x, -6*x + x - 2*b = -899. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oso when three letters picked without replacement from {n: 3, o: 3, m: 1, s: 5}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -868, -861, -836, -787, -708, -593, -436, -231?\n\"Answer: t**3 + 3*t**2 - 9*t - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488 and 1086532.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4422 and -9\/2.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2164 (b) -2 (c) -0.04 (d) -6 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 3. Let g(t) = -3*t**2 - 4. Let i(d) = -3*g(d) - 4*o(d). Let w = 90 - 88. Let y(l) = -l**2 + 468 - 468 + 9*l**w. What is y(i(b))?\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + (-2 - (-3 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-12)*12\/2. Solve 4*h + v = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {t: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 - 4*a - 3. Let v = -4 - -9. Let i be k(v). Find the first derivative of -3 + i*h + 2*h - 2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -111220101121021?\nAnswer: -111220101121012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 2*c - 17. Let v(k) = k**3 + 5*k**2 + 3*k + 16. Let a(f) = -4*i(f) - 5*v(f). Is a(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 12*g - 6. Let j(h) = 10*h**2 - 35*h + 19. Let s(d) = 2*j(d) + 7*z(d). Suppose 0 = 76*i - 52*i - 264. List the prime factors of s(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 4 = -2*m. Let o = m + -8. Let -o*g - 6*g**3 - 4*g**2 + 8*g - g**4 - 3*g**4 - g**5 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 13 + 4. Calculate the highest common factor of 4 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from okokkohhhuh.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/6309245 and -52\/23655.\nAnswer: 359626965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1243217 and 3949.\nAnswer: 13675387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 6*n**2 + 5 + 17*n**2 - 7*n**2 - 8*n**2. Let p(s) = -7*s**2 - s + 8. Let f(d) = -3*p(d) + 5*q(d). Find a such that f(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313899 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 2*s**7\/21 + 17*s**6\/120 + 48*s**5\/5 + s**3\/6 - 745*s**2. Find the third derivative of k(i) wrt i.\nAnswer: 480*i + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -65005 (base 8) to base 10.\nAnswer: -27141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5123 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {e: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3)*30\/8. Let w be 4 - (j\/3 - 2). Suppose -h + 1 = -w. Sort 5, -5, h.\nAnswer: -5, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2158 and 391262?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 393.58623 - 393.14. What is k rounded to 2 dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(324\/58554)*1*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 11. Let d(t) = -t**2 + 3*t - 60. Let a be d(0). Let z be (0 + (-9)\/66)\/(j\/a). Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/11 (b) -2 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x + 116. Let m(z) = 2188*z**2. Give t(m(s)).\nAnswer: 6564*s**2 + 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1801, -7324, -16651, -29782, -46717, -67456, -91999?\nAnswer: -120346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2208 + -3?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k = 6*k - 6, 5*n - 44 = 3*k for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*h = 22, f - 3*f = -3*h + 9. Suppose 5 = f*g - 19. What is the remainder when g is divided by (-64)\/(-20) - 2\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/5 (b) -0.141 (c) 5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r. Let t be q(-1). Suppose 6*k - 65*k = -26*k - 99. Factor 72\/13*o**k - 4\/13 - 120\/13*o**t - 46\/13*o.\nAnswer: 2*(o - 2)*(6*o + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/480*20*(-4)\/(-10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8727, 8213, 7711, 7221?\n\"Answer: 6*b**2 - 532*b + 9253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*a**2 + 23211*a - 9282.\nAnswer: -3*(a - 1547)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240443 by -1.\nAnswer: -240443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 6938 + 16*d - 3465 - 3473 - d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/11)*x*x**(1\/5)*x**(2\/11)*x**(-4)*((x**4\/x)\/x)\/((x**0\/x)\/x)*(x**(-1))**3 assuming x is positive.\nAnswer: x**(-94\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 342557117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 9*u - 1. Let o be j(9). Let p be (-5)\/((5\/2)\/o). Suppose 60 = p*l - 24. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.203 + -0.303. Which is the closest to -3? (a) 11 (b) 2\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 2*t + 2*t)*(89 - 212 + 90) as u + r*t and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 442, 454, 480, 526, 598?\n\"Answer: u**3 + u**2 + 2*u + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 29 - 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-4))\/(-3))\/(42\/28).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c - 18779 = 448. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17570278 divided by -1597298?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 - -5171450.466.\nAnswer: 5171450.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42.42 and 3?\nAnswer: 39.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-87368)\/48)\/67)\/(-60) and -163\/570?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, l: 1, q: 1, p: 3}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.643 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/28)\/(1\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50533906.\nAnswer: 2, 31, 815063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10390008 is divided by 238?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*i**2 - 1 - 2321*i**2 + 606*i**2 + 578*i**2 + 1 + 570*i**2.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 6\/13, 1\/6, -15, 3.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2) + 6 + -5. Suppose 2*c + 0*x - b*x = 12, 0 = -2*c + 5*x + 21. Solve 4*w - c*w = -5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5990460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**2 + 68*m - 280 = 0.\nAnswer: 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -360 + 362. Solve 13 - 9 = z*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + d = 5*z + 43, 7*z + 26*d - 15*d + 111 = 8*d for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429.\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 18, -3266, 4, 69 in descending order.\nAnswer: 69, 18, 4, 0, -1, -3266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 159607\/(-8456) + (5\/8)\/(-5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + -2.54. Let n = 2 + i. Let c = n - -6.5. Round c to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 + 1 - (-28 + 5 + 15)) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60d9 (base 16) to base 13.\nAnswer: b392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2 - 10*v + 4 to the form o + x*v and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25712\/469 + -3654\/67. Factor 2\/7*p**2 + 0 - 2\/7*p**4 + 2\/7*p - b*p**3.\nAnswer: -2*p*(p - 1)*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12159523.8 rounded to the nearest one hundred thousand?\nAnswer: 12200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 < -382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20842.\nAnswer: 2, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 8. Suppose 4*a + 14 = -3*z - x, 6 = a - 5*z. Suppose 5*i + 7 = -3*q - 24, 2*q - 5*i = 21. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 294197311 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*b = -a + 940, 5*a = 5*b + 950. Suppose 3*r - 155 = 5*i - 474, 3*i - a = r. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5807.98059 and 130.6.\nAnswer: 5938.58059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*v + 3 = -r + 118*v, -r = -5*v - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 814203227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/95, -3, -4 in decreasing order.\nAnswer: 2\/95, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z - 3*z - 3*z)*(-2*z + z + 0*z) - 22*z + 23*z - 10*z**2 + 40*z**2 to h*z**2 + w + f*z and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 22*t = 69 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * -0.31\nAnswer: -0.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*z - 99484 = -132*z. What are the prime factors of z?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000490025274 to seven decimal places.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*y**3 + 9*f*y**2 - 47136*f*y + 545*f + 86122*y**3 wrt y.\nAnswer: -18*f*y + 18*f + 516732*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -274 by 3.\nAnswer: -274\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-60 + 34 - 23*i**3 - 2*i - 13*i**2 + 28).\nAnswer: 46*i**3 + 26*i**2 + 4*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 1 = 187*n - 190*n, 20 = -5*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 65783.54t?\nAnswer: 65783540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -0.2103.\nAnswer: -1.2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 11:24 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 122657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 3*l + 77, -4*l + 18504 - 9158 - 9245 = 3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 + -0.2. Let q = -2.99999999 - r. What is q rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864753133.\nAnswer: 864753133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 189*a**2 - 278*a + 108. Let d be h(-93). Solve 0 = -0*u - 2*u, -3*k - 2*u = -d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6786\/195)\/(135\/200). Which is smaller: m or 53?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*g - 171*g + 97200 = 629*g + 252*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.565 + 0.5649198. Round p to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 24*w**2 + 208*w + 480.\nAnswer: -4*(w - 6)*(w + 2)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -55. Suppose -4*y + 4*p = -12, y + 0*y - 3*p - 9 = u. Suppose -h + 8 - 2 = 2*o, 2*h + 13 = o. Put o, y, 2 in increasing order.\nAnswer: y, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3961, -15575, -34841, -61759, -96329, -138551, -188425?\n\"Answer: -3826*c**2 - 136*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -555076 divided by 4\nAnswer: -138769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 8*z + 6. Let a be n(-14). Suppose 0 = -4*x + a + 334. Suppose -5*g - 2*p = -x, -2*g - 3*p - 2 = -58. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - r = -176, -5*r = 2*z + 3*z + 245. Suppose -y + 3*t - 34 + 6 = 0, 120 = -4*y + 4*t. Let a = y - z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -17*h + 3632. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 6\/5*r**5 + 25\/3*r**4 + 0*r**2 + 0 + 0*r**3 - 1\/15*r**6 + 160*r. Find the third derivative of s(m) wrt m.\nAnswer: -48*m + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:07 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41\/120 - -5\/24. Put -9, -0.3, a, 3 in descending order.\nAnswer: 3, a, -0.3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 1, t: 1, e: 1, k: 1}. What is prob of picking 1 k, 1 t, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1913 - 705 - 2384 = 82*i for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0794689ng in grams?\nAnswer: 0.0000000000794689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 48*z - 248 = 0, 658*z + 31 = -3*w + 663*z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -14833 in decreasing order.\nAnswer: -1, -5, -14833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let v be (-13)\/(-52) - 194\/8. Let d = -22 - v. Let z(r) = 11*r**d - 27*r**2 + 13*r**2. Calculate z(a(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 236.\nAnswer: -236.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -67*t - 3. Let u(k) = 34*k + 1. Calculate 2*q(f) + 5*u(f).\nAnswer: 36*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 1. Let s(f) = 5*f**2 - 6. What is 4*p(a) + s(a)?\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -b68 (base 15) to base 5\nAnswer: -40243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:04 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-258004)\/(-53) - (8 + 0 + (-81)\/27) is divided by 1618?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 10:09 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413001 is divided by 85?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 73*h + 513. Determine o(23).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + u**4 - 2*u**4)*(255 - 90 - 15).\nAnswer: 300*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/4, 2.9, -14, 6780\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*j*p + 70*p wrt j?\nAnswer: -35*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-863*u + 2*u**2 + 863*u + 226).\nAnswer: -4*u**2 - 452","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*-2)\/(3\/(-6)). Suppose 0*g + r = g. Suppose -60 + 24 = -g*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - -15. Let d be (27 - (-144)\/(-9)) + 9. Calculate the highest common divisor of b and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1211.377\nAnswer: 605.6885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9205098.\nAnswer: 2, 3, 7, 219169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/((-7)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 5 (c) -17.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 v when three letters picked without replacement from {h: 3, v: 10, r: 3, w: 3, g: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/8)*l**(2\/9)\/l*l**(-6)*l*l**4\/l assuming l is positive.\nAnswer: l**(-173\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 44 + 21 + 1725*o + 2964*o as p + r*o and give r.\nAnswer: 4689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29666, 29635, 29584, 29513, 29422, 29311?\nAnswer: 29180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 666, 1272, 2120, 3210, 4542, 6116?\nAnswer: 7932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -2, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 46*t + 384. Let p(d) = 168*d + 1532. Calculate -22*f(u) + 6*p(u).\nAnswer: -4*u + 744","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**4 - 135*z**3 + 101*z**2 + 251*z + 11. Let x(m) = 3*m**4 + 45*m**3 - 34*m**2 - 84*m - 4. Let p(h) = -4*n(h) - 11*x(h). Factor p(g).\nAnswer: -5*g*(g - 8)*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 1. Let p(x) = x**3 - x**2 - x. Let b be p(2). Let a be (2\/(-4))\/(107\/214). Let m(v) = 4*v - 6. What is a*m(t) + b*j(t)?\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 5*a - 336, 0 = 4*a + 12. Suppose -6*k + r = -2030. Is k a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63 * 5.85.\nAnswer: 368.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474 + 420 = -9*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (11\/(-1))\/1. Suppose -3*k + 6*y + 43 = 4*y, 3*k = -2*y + 23. Calculate the highest common divisor of m and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(6\/(-6))*1)\/(3\/(-159)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*((2 + sqrt(2057) + 1)**2 + sqrt(2057) + ((sqrt(2057) - -1*sqrt(2057))*-2 + sqrt(2057))**2).\nAnswer: 693*sqrt(17) + 185211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -14*f + 20. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 + 3*p**4 + 0*p**4 + (4428 + 529*p - 4428)*(p**2 - 2*p**2 + 0*p**2)*(3 + 2*p - 3) in the form w*p**3 + n + x*p**2 + h*p**4 + g*p and give h.\nAnswer: -1055","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15617, -27702, -39769, -51812, -63825, -75802?\nAnswer: -87737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 44 - 14)*((3*d**4 + 2*d**4 - 4*d**4)*(-2*d - 3*d + 3*d) + d**5 + d**5 - d**5).\nAnswer: -39*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 813976.2 * -12.\nAnswer: -9767714.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m + 573 - 5603 = 4270. Calculate the remainder when 13797 is divided by m.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1059 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64983789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {j: 3, a: 1, i: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8318\/4591 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -8. Let y = n - -5. Let u be 1\/y*(1 - -2). Is 1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/5 - 6266*y**3\/5 - 9828213*y**2\/5 - 39237692*y\/5 - 39212644\/5 = 0 for y.\nAnswer: -3131, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 19, 49, 97, 163?\n\"Answer: 9*g**2 + 3*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -296, -2\/3, 2\/5, 4 in decreasing order.\nAnswer: 4, 2\/5, -2\/3, -3, -4, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*j + 2*j - 3*j + j + 0*j + 0*j + 4*j - 2*j - j + (1 - 4 + 1)*(3*j - 5 + 5) + j + 3*j - 5*j + (1 + 2 - 2)*(-5*j + 0*j + 3*j) to w + b*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 6:11 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 12 - -15 - 18.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20910686 and 738258?\nAnswer: 20172428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15174 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + y = 43, -525 = -3*g - 25915*y + 25896*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t + 2*t - 6*t in the form i*t + q and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/i)\/i**(-19) assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27528596 is divided by 3055.\nAnswer: 3046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 38325 = -28*p + 12*p. What is the highest common factor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 27*p**5\/2 - 288*p**4 - 4044*p**3 + 52077*p**2 + 72045*p\/2 + 6075 = 0.\nAnswer: -15, -1\/3, 10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10941504 by 6.\nAnswer: 1823584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/(-73))\/(1*(-3)\/(-27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65627 - 44227. What are the prime factors of k?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33e (base 16) to base 6.\nAnswer: 3502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/5)\/r)\/(r*r\/((r**(1\/11)*r)\/r*r))*r**(-2\/7)\/r**1 assuming r is positive.\nAnswer: r**(-1538\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 774055 + y**2 - y**2 + 774051 + 157*y**3 - 1548106.\nAnswer: 157*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + 3*q - 15 - 4 + 14 - 8 + 5*q**3 in the form u*q**3 + l*q**2 + d*q + s and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 810.948s?\nAnswer: 810948000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 147*i**3 + 334. Let h(v) = -v. Give h(t(b)).\nAnswer: -441*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 0\/(-1) + 8. Suppose 19*n + z*n = 0. Solve 0 = -t - p + 7, n = -p + 3*p - 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/98 and -27\/76.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -122301311 (base 4) to base 14\nAnswer: -2bd89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 + 8*i - 6. Let u be m(6). Let j(b) = -4*b + 11*b - b**3 + b - 2 + 5*b**2. Calculate the remainder when j(u) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 4) + (0 - -1 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:33 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5598 = -5*n, -65*x + 3*n = -67*x + 5582. What is x rounded to the nearest ten?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5134414 to the power of 1\/2, to the nearest integer?\nAnswer: 2266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*m*o**4 + m*o**3*w + 10*m*o + 7*o*w - 2*w wrt o?\nAnswer: -468*m*o**2 + 6*m*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -361 by -22431.\nAnswer: 361\/22431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5294 - 5326 = -5*v, 0 = -4*v + n + 23 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.182 + 0.182504. What is w rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12504644, -12504646, -12504648, -12504650, -12504652, -12504654?\nAnswer: -12504656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 3*j**2 + 3*j + 3. Let v be h(-3). Let q(b) = -b**3 - 7*b**2 - 6*b + 1. Determine q(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72180 and 72180.\nAnswer: 72180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 127bcc?\nAnswer: -127bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3575, -7364, -11145, -14918?\n\"Answer: 4*v**2 - 3801*v + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*h**3*j*m**3 + 77*h**3*j + 47*h**2*j*m**2 + 17*h*m**5 wrt m.\nAnswer: 708*h**3*j + 1020*h*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(((-85)\/630)\/17). Suppose -p*t - 4 = -128*t. Which is smaller: 8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59484 a multiple of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9622 divided by -6.\nAnswer: 4811\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbtbnoonyn. Give prob of sequence bn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1461*b**3 - 136*b**2 + 32*b - 17. Let p(w) = -487*w**3 - 48*w**2 + 11*w - 6. Give 6*d(s) - 17*p(s).\nAnswer: -487*s**3 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1194*l**4 + 7*l**2 - 20*l wrt l?\nAnswer: 28656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -978, 82, 4 in increasing order.\nAnswer: -978, 2, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 4. Let n be u(4). Suppose n = -w + 11 - 5. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4 + u - 6 - 2 - 8 - 9. Determine z(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 = -32*y - 9 - 125 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 - (-689)\/52) + -3. Which is the closest to j? (a) 2\/17 (b) 25 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-3))\/(21*(-230)\/(-161))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (53 + -13)*(-8)\/(-10). Solve -4*o = -n + 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 17*x**2 + x - 15. Let v be a(17). Solve -g + v = -3*y + 6, 3*g = -4*y + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-202.1.\nAnswer: -202.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -60742\/3, 0.09, -3, -0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 - 245*u - 157. Let y be f(-81). Solve 0 = 4*d + 3*x - 0*x - y, 2*d = -3*x + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 27\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -10277056.3?\nAnswer: 41108225.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/8 - (-1 - 13 - (7968\/(-60) - -120)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*z**2 + 903 - 903)*(0 - 4 + 3).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -459, -4, -155 in descending order.\nAnswer: 3, -4, -155, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318092.\nAnswer: 2, 281, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 0.323.\nAnswer: 1.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 times -0.3?\nAnswer: 142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 - 1345. What is the hundreds digit of (38 - s) + 1 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**3 + r**2. Let b be g(-1). Suppose w - 4*j - b - 1 = 0, -7 = -w + 3*j. Calculate the highest common factor of 28 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2367614*f**5 + 2*f**3 + 1219882*f.\nAnswer: 47352280*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b + 38*b + 3240 = 0. Find the common denominator of (-4168)\/b + 6 + 1\/5 and (-2)\/(-7) + (-2375)\/840.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505725 (base 8) in base 14?\nAnswer: 44b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3009 - 3008.99999721. Round v to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58582048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 2}. What is prob of sequence tt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from zzxzxxxxzxxzzxzzzx.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3291296, -6582482, -9873668, -13164854, -16456040?\nAnswer: -19747226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2583, 0, 2, 10, 130, 4 in descending order.\nAnswer: 130, 10, 4, 2, 0, -5, -2583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(756)\/sqrt(768))**2.\nAnswer: 127\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4382, 4407, 4436, 4469, 4506, 4547, 4592?\n\"Answer: 2*m**2 + 19*m + 4361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/6 + -1\/66. Let c = -29.114 + 0.314. Let r = c + 29. What is the third smallest value in 0.5, r, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10043453659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -171608 divided by 4?\nAnswer: -42902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 24*q + 684. Let r(v) = -v - 30. Calculate -6*n(d) - 136*r(d).\nAnswer: -8*d - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -62*c + 179*c + 354*c**3 - 540*c**2 + 163*c - 60*c**4 + 3*c**5 - 37*c = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 2, z: 1, j: 1, n: 2, f: 1}. Give prob of sequence nnfv.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 216*j**2 + 2782*j + 108. Determine m(-93).\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4.1555 - 37\nAnswer: -32.8445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-937)\/(-11) + 5 + 171\/(-33). What is the highest common divisor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2895\/(-96))\/5 + (-135)\/(-45) and 17\/(-28) + (-3)\/(-6).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1272.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16288.07 - -16488. What is n rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2445 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 33016917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2503*a**4*k - 3*a**3*k**3 + 2*a*k**2 + a + k**3 + 26*k**2 + 218*k wrt a?\nAnswer: -30036*a**2*k - 18*a*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -24*f**3 - 11*f + 25*f**3 - 11*f - 5 + 5*f**2 + 7*f**2 + 25*f. What is v(-11)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, c: 7, h: 6}. What is prob of sequence ffc?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7a6 (base 13) to base 7\nAnswer: -3563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 9:57 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/40032 and 41\/38304.\nAnswer: 5324256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -1189, -3612, -8229, -15772, -26973, -42564, -63277?\nAnswer: -89844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 36*m - 38*m, 2*m + 3719 = 3*v. Let b = -592 + v. List the prime factors of b.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1835934 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101100101 - 1001100000110?\nAnswer: -101110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 39 - 6 = -2*i, -2*i = 4*w - 12. Suppose -10 = -2*z + 4*n - n, 2*z - 2*n - 8 = 0. Let d(p) = -2*p - p**3 + w*p + 2*p - 3*p**z. Determine d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (12\/1 - 4). Suppose 0 = 3*g + 2*j - 8, q*j = 2*g + g - 1. Solve -3*v - g*v - o = -20, o + 10 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*o - 168*o + 87*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*i + 50*i + 65*i - 261 = 0. Solve -2*g + 4*j - i = -g, -5 = -5*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9738731 nanometers?\nAnswer: 0.0000000000009738731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1790 + 5. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from swfnv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*w + 8404 = -32*w + 9214. Factor 0 + 15\/4*b**w - 4*b**3 + 1\/4*b**4 + 0*b.\nAnswer: b**2*(b - 15)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 = -f, 4*i = 7*i - 2*f + 8. Let w be (0 - 0)\/(-1) - i. Let q be w + 3\/(-1) - -3. Solve 2 = 2*r - q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*c**2 - 263 + 263)*(-4 + 4 - c) + (0 - 3 + c + 5)*(-2 + 2 - c)*(2*c + 2*c + 0*c).\nAnswer: 69*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -88*q - 784. Let z(o) = o**3 + 9*o**2 - 9*o. Calculate z(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1151*j + 8818 = -2630 - 6231 - 42173 for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**7*n*n*n)*n**(-4\/9)*(n**1)**(-22) assuming n is positive.\nAnswer: n**(-283\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(8\/(-6)) - 0 - -27. Let j(g) = -3*g + 1. Let l be j(2). What are the prime factors of (-9)\/((z\/8)\/l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 3*d**2 - 4*d - 1. Let h be p(-4). Let x = -0.213 + 0.113. Let i = 6\/43 + -141\/86. What is the nearest to x in -3, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*k + 3, -p = -12*k + 17*k + 5. Solve p = 4*x + 13 + 15 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010 - -11?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 674 + -676. Suppose -b - 10 = 3*b + 2*h, 3*b - 3 = 2*h. Sort 7, 4, n, b in increasing order.\nAnswer: n, b, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12064 plus -5313.5977?\nAnswer: 6750.4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 153 + -149. Which is the second biggest value? (a) y (b) 0.03 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1992 + 1140 - 5674 = -82*r for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j**2 - 11*j - 51. Let r be h(-15). Let m = r - -4380. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 3*j**2 + 18*j - 3. Let k(r) = r**3 + r**2 - r + 1. What is c(p) + 3*k(p)?\nAnswer: p**3 + 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -9\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1062)\/(-4012))\/((-90)\/40).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1392 and 497647888?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-171)\/27)\/((66\/108)\/(-11)). Suppose 110*r - t*r + 29228 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6, -3\/2, 0.2, 162.3159?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/3 - 43*u**3 - 1297*u**2\/3 + 43*u + 1298\/3 = 0.\nAnswer: -118, -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204764477?\nAnswer: 2339, 1370143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**28*c)\/(c\/(c\/(c*((c\/((c\/(c**(-24)\/c*c))\/c))\/c*c*c)\/c)*c)))**41 assuming c is positive.\nAnswer: c**2173","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*l = -56*l - 1218 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11638 - 6668555\/573. What is the common denominator of m and 73\/10?\nAnswer: 5730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 5.\nAnswer: -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 2. Let t(k) = -6*k - 4. Suppose 68*i - 39*i - 87 = 0. Calculate i*t(h) + 5*j(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1757968950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 691602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 2272778?\nAnswer: -227276a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxquqzzuzquqvu. What is prob of sequence uqx?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 - -0.2. Let c = -36.89 - -37.09. What is the third biggest value in c, t, 1\/4, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 40. What is the remainder when 131 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361614, 723148, 1084682?\nAnswer: 1446216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3736 - -2021178\/541. Let y = 2649\/15148 + f. Find the common denominator of -43\/24 and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41110, -41119, -41128, -41137?\n\"Answer: -9*z - 41101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toxbbbp. Give prob of sequence btpo.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4122, 2, -7, 1 in decreasing order.\nAnswer: 4122, 2, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2042172 - 1442172. Round m to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h = -110 - 59 + 46. Let n be 16\/(-6)*(-3)\/2. Suppose 1 = h*k + n. Is k greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 2*s**2 - 50*s + 29. Is 128 a factor of q(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -871 = -y + 3*c, y - 20*c - 871 = -19*c. Calculate the greatest common factor of y and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 + 4*z - 2. Let v be m(-5). Solve -a = 0, 10 = -s + v*s + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)*c)**44 assuming c is positive.\nAnswer: c**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*i = 304*i + 25, -i + 10 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19\/(-2))\/(1\/2). Let d = -37 + 22. Let r = d - z. Calculate the smallest common multiple of 6 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:29 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 2. Let t be q(-3). Let j(u) = -385 + 3*u - 4*u + 384. Let d(i) = -10*i - 10. Give t*d(z) + 8*j(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7194 divided by 6.\nAnswer: -1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*(-1232)\/(-7568).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6*r - 9 = 0, 3*r + 689 = 5*s. Let g(p) = -60*p + 402. Let l be g(6). Let q = s + l. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 15 = -y. Let j = 690 - 688. Let k be (-1 + -17)\/j - (6 - 12). Put -48, y, k in decreasing order.\nAnswer: y, k, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16431343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/12)\/(-8)*-21\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b - 5*c + 45 = 0, -3*b - 4*c + 31 = 0. Sort b, 4, -4 in ascending order.\nAnswer: -4, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*p, 0 = 4*x - 0*p - 2*p - 22. Let q = -1 - -3. Suppose 0 = i + 1 - 2. Sort i, x, q in increasing order.\nAnswer: i, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 84*r - 19524. Give n(-123).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 2:46 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1422912, -1422896, -1422854, -1422774, -1422644, -1422452, -1422186?\nAnswer: -1421834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7655*u + 306226. Determine s(-40).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let n(x) = x + 42. Let u(c) = 3*m(c) - n(c). Let g be u(-11). Solve -1 + g = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/93)\/(-2*2\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/124 and 41\/12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d - 29. Let z be j(21). Let u = 225 + z. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98096 - -7.3019?\nAnswer: -98088.6981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (0 - -8)\/((-4)\/2). Suppose 0 = -o*p - 29 + 134. Calculate the remainder when (-53)\/(-2) - 1\/(-2) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - m - 2. Let y(t) = 4*t**2 - 3. Let u = 2 + -4. Give u*y(p) + 3*a(p).\nAnswer: p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.78263 + -0.01737. What is the second smallest value in -3\/2, s, -4, 21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 495, 502, 513, 528, 547, 570?\n\"Answer: 2*x**2 + x + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5.4. Let b be (((-36)\/15)\/6)\/(18\/(-10)). Let r be 3\/4*(-4)\/(-6). What is the closest to r in -0.5, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 18*p**2 + 453*p + 432 = 0. Calculate p.\nAnswer: -9, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1139, -1156, -1175, -1196, -1219?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003646979 rounded to 6 dps?\nAnswer: -0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0.05 (c) 23\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10780 and -980.\nAnswer: -10564400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a factor of 105857536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -182*k - 34395. Give c(-188).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4*u**2 + 11)*(-9 + 3 - 2)*(-3*u + 2*u + 3*u).\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - 6.7. Let m = -7.3000067 - z. Round m to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 1772957739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/8 of a decade?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10790859 and 19617?\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -11. Suppose 3*c + 15 = v*c. What is the first derivative of w + c*w - w - 1 + 5 wrt w?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -844\/397 or -2\/9?\nAnswer: -844\/397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eve when three letters picked without replacement from {c: 9, e: 1, x: 1, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(0*b + 3*b - 2*b) + 60*b - 8*b - 19*b)*(1 - 1 - b).\nAnswer: -34*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s**3 + 6*s**2 + 14*s - 140. Is t(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 113 + 2*j**4 - 112 - 2*j**2 + j + 0*j**2 to n*j**2 + i*j + c + f*j**3 + h*j**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:22 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 5, 1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(143) - (sqrt(143)*1 + sqrt(143) + sqrt(143) + sqrt(143)))*1*4)\/((sqrt(396) - (sqrt(396)*1 - sqrt(396)))*4 - (sqrt(396)*-1*-4 - sqrt(396)))*3.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 2. Let v = 1.28 - 0.18. Let u = v + -1. Which is the nearest to u? (a) l (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1095*i**2*p**2 - 8000939*i**2 + 579*i*p**2 wrt p?\nAnswer: 2190*i**2*p + 1158*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -44. Suppose n = -5*n + m. Suppose 16 = 2*d + 2*q, 3*d - 5*q = n*d + 4. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = -52. Calculate the greatest common divisor of t and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t\/(t**1\/t)))**(-28) assuming t is positive.\nAnswer: t**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -20*v**2 - 21. Let t be z(-8). Let h = -12959\/10 - t. Find the common denominator of 143\/6 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-78)\/(-24))\/13 - 91\/(-4). Solve 3 - n = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 44*g + 24 = 0. Let q be (4*-3)\/(0 + 1). Let k = -3 - q. Calculate the remainder when k is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1583, 3239, 4905, 6587, 8291, 10023, 11789, 13595?\n\"Answer: k**3 - k**2 + 1652*k - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -232753 + 2?\nAnswer: -232751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-1 - -9) + (13 - -1). Solve 0 = -23*z + 25*z + t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xnnnnjrrxnnqnrrxq.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6439 = -6*y + 10895. Let c(a) = -2889 - a + y - a. Let n(m) = 0*m**2 + 5*m**2 + 2*m**2. Determine n(c(u)).\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0016 to two decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 63\/4*m + 3\/4*m**2 + 51 = 0.\nAnswer: -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -133*i**3 + 24*i**2 - 3*i - 136. Let y(p) = 44*p**3 - 9*p**2 + p + 45. Let w(g) = -3*u(g) - 8*y(g). What is the second derivative of w(d) wrt d?\nAnswer: 282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/8 + 439*s**2\/4 - 1753*s\/8 + 219\/2 = 0. Calculate s.\nAnswer: 1, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**3\/7 + 198*y**2\/7 - 482*y\/7 + 108\/7.\nAnswer: 2*(y - 2)*(y + 27)*(4*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*1*sqrt(1100))**2 + -1*5*(sqrt(1100) - (0 + sqrt(1100)))**2.\nAnswer: 59400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 - 4*t**2 + 6*t - 26. Let j(x) = -3*x**3 - 3*x**2 + 5*x - 26. Calculate -6*j(z) + 5*s(z).\nAnswer: -2*z**3 - 2*z**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*t + 4*g + 11565, -3*t + 3*g + 11562 = 0. Let p = -6421 + t. What is p rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-228)\/(-9))\/(46\/(-345)). Let m = 142 + p. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 3 - 3)*(4*m + 2 - 2).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = -5. Suppose 3*q - 2*q = -22. Let c be 2\/q - 0\/(-4). Is f <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2. Let v(f) = 4*f + 3*f - 6*f + 2*f. What is v(t(z))?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2016, 4, 4\/11 in decreasing order.\nAnswer: 4, 4\/11, -11, -2016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7147 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219543 - 13582. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (103 + 104*v**3 - 103)*(-2 + 3 + 2)*(5 - 5 - 2) in the form m*v + f + s*v**2 + g*v**3 and give g.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 754 and 6?\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2 = 10, -z = -y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 183, 0 in descending order.\nAnswer: 183, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 divided by 2.\nAnswer: -185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -193\/4. Which is the closest to 2\/7? (a) -0.4 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r**2 + 0*r**2 + 0*r**2)*(-2*r - 2*r + 2*r) + (r - 2*r + 2*r)*(-3*r**2 + r**2 + r**2))*(1034 + 767*r - 1034).\nAnswer: -2301*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -47, -95, -161, -245, -347, -467?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 4*w. Suppose -5*l - 3*o = -60, -5*l + w*o = -9*l + 46. What is the highest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -536*l + 533*l - 18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let c(f) = f**2 - 2. Let n(i) = i**2 - 1. Let o(u) = u**2 - 1 + 0 - 8*u + 7. Let v be o(7). Let h(g) = v*c(g) + 2*n(g). What is d(h(p))?\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -1.0819306566113.\nAnswer: 0.9180693433887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -22795041 divided by -1199739\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0. Put 2, 4, p in increasing order.\nAnswer: p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-1001))\/((-6)\/(-14)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/7 + 18*w**2 + 2592*w\/7 + 17496\/7 = 0.\nAnswer: -27, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 877*c**2 - 584*c + 578. What is x(-293)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w)\/w**(3\/5)*(w\/w**(1\/3))\/(w**(2\/19)*w))\/((w**(2\/5)\/w)**(1\/35)\/((w\/(w\/w**6))\/(w*w*w\/(w*w*w\/w**(-9\/2)*w)*w*w))) assuming w is positive.\nAnswer: w**(149197\/19950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*u - 5*l, 0*l + 33 = 5*u - 3*l. Suppose 7*t + 9 = u*t. What is the units digit of (t - -7)*(-8 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1230*h - 338276. Determine q(275).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -82, 0.08, -21.512, 2\/19?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 + -133. Let g = t - 90. Solve 3*u + g*y - 5*y + 30 = 0, -2*u = 5*y - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 864.3 - 925. Let v = t + 64. Let r = v - 3. What is the smallest value in 1\/5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 522 = 9*f. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5802 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9619.489ug?\nAnswer: 0.000009619489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*z = -386*z + 16064538000. Round z to the nearest 100000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**4 - 5*z**3 - 1011*z**2.\nAnswer: 96*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 816585 or -0.1?\nAnswer: 816585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 19*n - 15. Let k be m(-18). Find the third derivative of -14*i**2 - k*i**5 - 17*i**6 + 3*i**5 wrt i.\nAnswer: -2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*j = 97*j + 5*a + 105, 13*j - 11*j - 3*a + 27 = 0 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*f + 183602 - 177722 = 0 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/298 and -45\/11473?\nAnswer: 22946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034411 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (14*(-12)\/(-420))\/((-2)\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 15*x**2 + 16*x - 22. Let b(l) = -l**2 - 14*l - 53. Let p be b(-5). List the prime factors of m(p).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i - 40. Let o be s(0). Let f = o - -40. Suppose f*p - 24 = -4*u + 2*p, -5*u - 3*p + 8 = 0. Solve u*q + 3 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2408*q - 23 + 2277*q + 23.\nAnswer: -131*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 7*z + 160. Suppose -5*q - z = -4*n, -q + 2 = 4*n - 78. Suppose y = n + 35. What is the remainder when y is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4*(-1)\/(-6))*1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j*((j\/(j**(-21)*j))\/j)\/j)\/j)\/j*j*j\/(j**(1\/12)*j))\/(j\/(j\/j**(-2)*j)*j)**(1\/7))**33 assuming j is positive.\nAnswer: j**(18667\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((3 + (sqrt(405) + 0)**2 + sqrt(405))*-5 - (-1*sqrt(405) + 0)**2*1)*-4.\nAnswer: 180*sqrt(5) + 9780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 871\/(-1092) + (-4)\/14 and -103\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i - 55*i = -12 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -138677.619299105 - 1?\nAnswer: -138678.619299105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142779163.\nAnswer: 142779163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3 - 23*f**2\/2 + 16*f. Is k(5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 1764 = -18*w. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -17*h + 10*h - 5*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1677458*n + 721008.\nAnswer: 1677458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -0.2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 3*v + 3. Let j(l) = l - 1. Let m = 3 + -5. Let t = 4 + m. Let i(y) = t*b(y) + 6*j(y). Let c(o) = 2*o**2. Calculate i(c(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nurnunruunrnnru.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 + 7*q**3 + 27*q**2\/2 - 55*q - 303. Let j = -11 + 33. Is c(j) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.14876838 rounded to three dps?\nAnswer: -1.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-25)*2\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -13, -2364, -0.1, -5, 0.06, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -64) + (177 + 160 - 326)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*b - 4*u + 4, 2*u = 3*b + 31. Let k(h) = -h**3 - 8*h**2 - 7*h + 8. What are the prime factors of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 2 + 1 + -1. What are the prime factors of (1 - x\/(-1)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6479*z + 892. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 9*q**2 - 3*q - 3. Let c be m(-1). Let x(j) = j**3 + 3*j - 11*j + 4 - 8*j**2 - 5 - j. Calculate x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, v: 1, c: 1, t: 1, j: 6}. Give prob of sequence jvj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*b + 3. List the prime factors of 83 - ((-28)\/4 + b).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 o when four letters picked without replacement from zizxzozopp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2 - 2*t**4 - 2)*((-t - 3*t + 2*t)*(-1 + 1 - 2) + 10*t - 7*t + 12*t).\nAnswer: -38*t**5 - 38*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1026 and -157\/30.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/10)\/(9\/((-23850)\/20)). Let y = t - 105. What is the greatest common factor of 594 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50344219 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 2*u + 3. Let i(b) = -b**2 - b + 2. Let c = -6 - -10. Suppose -14 = -z + 2*p, 5*z - c*z = p + 10. Let g(l) = z*i(l) - 4*s(l). Factor g(q).\nAnswer: -2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 38 (b) -3 (c) -0.1 (d) 27 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4731)\/190 - -25)*(-10)\/38*3.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075551 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 5. Let x be y(11). Let t(v) = v**3 - 11*v**2 - 12*v + 1. Let p be t(12). Suppose r - 4*z - 20 = 0, 20 = 3*r + r - z. Solve -p = -r*u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4 + (2 + (sqrt(448) + -1 + -5 + 5 - (sqrt(448) - sqrt(448)*-1)*-4*-5))*6)**2.\nAnswer: -37440*sqrt(7) + 24530791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234203043 (base 5) to base 10.\nAnswer: 1084773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 415*n**3 - 824*n**3 + 413*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/120 - 1861*s**5\/60 + 703*s**4\/8 + 2*s**2 + 735. What is the second derivative of i(y) wrt y?\nAnswer: -6*y - 3722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 63.8.\nAnswer: -62.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, -29 in increasing order.\nAnswer: -29, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 4*g**2 - 7*g - 6. Let d(u) = 2*u**3 - 4*u**3 + u + 1 + u**2 + 0*u**3 + 3*u**3. Let m(v) = a(v) + 6*d(v). What is m(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 at most -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(363) + (sqrt(363) + 1 + 2)**2 - (2 + 3*sqrt(363))).\nAnswer: 44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*x - 8. Find the common denominator of x\/(-108) + (-4)\/(-6) and -27\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 3. Let i be d(-3). Let k = i - -4. Suppose 21 = k*b - 5*g - 28, -3*g = 3. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -416. Let q = h - 150. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 971 + -969. Let u = 0.1 - -0.4. Sort q, -3\/7, u.\nAnswer: -3\/7, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.063 - -0.363. Sort 0.1, i, 68, -0.1 in descending order.\nAnswer: 68, i, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 + 10 = 15*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 18*k**2 - 22*k - 80. What is l(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**3 - 12*y - 11. Give v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j - 58*j + 47*j. Let u(b) = 573*b. Calculate k(u(h)).\nAnswer: 1719*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 180835?\nAnswer: -180837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 29 - -10 - (22 + 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*z + 26796 = -465*z + 441*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48675655?\nAnswer: 5, 7, 1390733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*g + 4, 5*d - 1 = d + 3*g. Let w = -7 + d. What is the remainder when 11 is divided by 4*-2*w\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l + 149005 - 149005.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105120.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 0*j + 6*j - 2*j - j.\nAnswer: 3*j + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((6\/(-4))\/(2232\/(-2480)))\/((-5)\/(-72)). Let u(n) = -n**3 + 25*n**2 - 24*n + 3. What is u(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.1 (c) 3\/25 (d) 3.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n + 5. Let s be c(4). Let l = 99 - s. Let h = 97 - l. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8970 divided by 78\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52015665 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9007696?\nAnswer: 2, 193, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 78*b = -103*b + 155, 2*d + b = -4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*c - 11*c + 110 = -44 + 26, -c - 14 = -3*c for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 36 = 28*h. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 189, -0.1, 1\/5, -55\/57 in ascending order.\nAnswer: -55\/57, -0.1, 1\/5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/800? (a) 0 (b) -2\/19 (c) -0.5 (d) -9 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26228 - 26223. Put -3, a, 6, -1 in descending order.\nAnswer: 6, a, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(3*j**2 - 2 + 2) + j**2 - 6*j**2 + 3*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 5*g - 3. Let s be z(-3). Suppose 0 = 2*r + 2*y - 70, -s*y - 2*y = 4*r - 142. Solve -5*f - 4*d + r = 0, -2*d = -d - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 13*x = -4. Let h be 1\/((-14)\/10) - x\/(-14). Let a be (-13)\/(-52) - h\/(-4). Solve -5*z - 17 + 2 = a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -202*b**4 + 202*b**4 - 121*b**5 + (b**2 + 3*b**2 - 2*b**2)*(-2 + 2*b**3 + 2).\nAnswer: -117*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-880)\/(-165)*(-3)\/(-2). What is the greatest common factor of r and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:52 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/18)\/(-1)*-8. Let g = -2 - -1.9. Which is the nearest to g? (a) -2 (b) j (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 14, 7 in ascending order.\nAnswer: -4, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2307182 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 166469617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1636356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -73*x**3 + 2*x + 1. Calculate g(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -2\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119627?\nAnswer: 119627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 8. Suppose -4*s + 12 = -0*s. Let j(g) = -9*g + 15. What is s*j(w) + 5*v(w)?\nAnswer: -2*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71580 at most as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -1\/135*c**6 + 4*c + 0*c**2 - 1\/18*c**4 - 1\/27*c**3 + 0 - 1\/30*c**5. Factor q(z).\nAnswer: -2*z*(z + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -76. Let w be -1*(-3)\/((-9)\/i). Suppose 4*m = w*v - v - 2000, v = -m + 504. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*f - 10*f + 7*f)*(f + 2*f - f) + f**2 + f**2 - f**2 + (-4 + f + 4)*(2*f + 3*f - 3*f) to c*f + w*f**2 + x and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6810 is divided by 610.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = 5*q. Let w = 23 + q. Suppose 3*p - 30 = -w. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s + 10*s + 4*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -13. Let t(x) = 4*x - 2. Let p = 13 + -19. Let d(o) = 9*o - 4. Determine i*t(l) + p*d(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -5, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 + ((-54)\/(-12) - 5). Is (6 - 6)\/(-3 - j) - -251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {z: 2, s: 7, b: 2, u: 1, r: 1, w: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 293? (a) -4 (b) 0.08 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -65, -5, -4, 0.2, -12 in increasing order.\nAnswer: -69, -65, -12, -5, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1870*n = 1722*n - 1184 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31, 0, -4, 8, 1 in ascending order.\nAnswer: -31, -4, 0, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 + 49*j**2 - 567*j - 128. Calculate o(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 9*n**2 + 3*n - 55. Determine b(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 20 = 5*u. Let y = 6 - u. Let s(o) = 2*o**2 - 12*o + 10. Let n be s(5). Solve -5*i = n, y*i = -j + 6*i - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -74822761, -149645509, -224468257, -299291005, -374113753, -448936501?\n\"Answer: -74822748*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38779568400 rounded to the nearest one million?\nAnswer: -38780000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11357.5 - -443256621.\nAnswer: 443267978.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -9)*(-2 + 7\/(-3)) - (-13 + -1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwlllleewlz. What is prob of sequence wwz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 792, -29, -760 in descending order.\nAnswer: 792, -29, -760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.52 - 0.22. Let o = -18 + 18.1. Let y = -0.3 - o. Which is the fourth biggest value? (a) 5 (b) y (c) f (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnppppoepeepm. Give prob of sequence npm.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(196\/(-259))\/7.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2574 - 2573. Let g = 0.694 - 0.7. What is the closest to o in 5, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8983?\nAnswer: 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15887 + -15371. Are -8 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -2150031?\nAnswer: -2150052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -2*j + 5*v + 11758, 0 = -15*j - v + 88301. Is j less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-20) + 3\/(-15). Put 1, 4, x in decreasing order.\nAnswer: 4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*u + 3 = -3*u, -x - 4*u = -24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1010011000 (base 2) to base 16\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291 + 326. Let h be (-9)\/(-5*7\/t). Which is the third biggest value? (a) -2\/13 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h = 30*h - 3. Suppose 6 = 2*w, -x + 3*w + 2*w - 11 = 0. Is -1*x*2\/h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/210 - 13*f**4\/4 + 274*f**3\/21 + 20*f**2 - f + 52. Factor w(h).\nAnswer: -2*(h - 1)*(h + 274)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 31*l - 8*x - 287, -2*x - 19 = -3*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3496 - 3480. What is the greatest common divisor of 5584 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m - 180 = -68 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 74\/14 + -3 - (-163314)\/(-2954)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 172. Let r = -74 - w. Let h = 12 - 5. Which is the third biggest value? (a) -3 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3023\/48 + -253\/4. Let w = p + -569\/48. Find the common denominator of w and 43\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-five halves of a litre?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -1\/60*p**5 - 1\/6*p**3 - 3*p**2 - 3 + 1\/12*p**4 + 0*p. Let s(l) be the second derivative of c(l). Factor s(k).\nAnswer: -(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439968509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -215572?\nAnswer: 215567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638495, 1276993, 1915491, 2553989, 3192487, 3830985?\nAnswer: 4469483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1*6\/(-6)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 535*x + 538*x = -2583, -3*o - 7697 = -4*x. Which is bigger: -2567 or o?\nAnswer: -2567","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220491 by -6.\nAnswer: -73497\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -2\/57, 2\/3, 20 in ascending order.\nAnswer: -2, -2\/57, 2\/3, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -1*(3 + -3). Let a = -3 - k. Let b(i) = 3*i**2 + 7*i + 4. Is 12 a factor of b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 854\/168 - (-1)\/(-12). Solve 2*d + 0 = 3*l - 5, q*l - 8 = 3*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 13*j + 4*j)*((10 + 14 - 7)*(-6 + 3 + 2) - 4 - 1 + 3 + (-5 + 1 + 3)*(4 - 1 - 1))*(j**2 + j**3 - j**2).\nAnswer: 273*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.3 + 0.7. Let h = -1 + x. Let s be (5\/(-3) - -2)*-2. What is the closest to s in 2, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 10*u**2 + 517*u + 164. Determine z(-19).\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6282388 minutes to seconds.\nAnswer: 37.694328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 489096600 rounded to the nearest one million?\nAnswer: 489000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17518 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*j = o, -4*j - 33 = -5*o. Suppose -n - n + 58 = 0. Suppose -5*w - 9 = -n. Solve w*d - o*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235 + -232. Suppose -4*b - 7*v = -8*v - 5691, 4*v = -n*b + 4273. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225658 is divided by 656.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -956, -1870, -2784, -3698, -4612, -5526?\nAnswer: -6440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1219283*t**2 + 135660 wrt t.\nAnswer: 2438566*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72613375*v - 87836097 with respect to v.\nAnswer: -72613375","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1365*q + 39. Is 9 a factor of o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 + y + 7. Let i be k(-7). Suppose 0 = -i*d - 2*d - 20. Let s be 26\/(-40) - 4\/d. Is -1 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a factor of 849001024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -22. Let t(r) = -7*r + 15. Let d be t(3). Let s = g + d. Solve 3*w = -3*k - 6, -5 + s = -k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -18.018043?\nAnswer: 1.8018043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*g**2*j**3 - 97*g*j**3 + 1534*j**3 wrt g?\nAnswer: -16*g*j**3 - 97*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 30 = -7*b. Let i(y) = -y**3 + 8*y**2 - 12*y + 3. Let u be i(b). Suppose -u*p + 70 = -p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112857898, 451431584, 1015721060, 1805726326?\nAnswer: 2821447382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7488 = -20019*t + 19923*t for t.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2296352 minus -0.1484?\nAnswer: -3.0812352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 6:59 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37579699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 2. Let o = -7 + 5. Let z be n(o). Let j be 90\/(-21) - (-2)\/7. What is the nearest to 0.1 in z, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 34. Which is the smallest value? (a) -0.4 (b) n (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1983*x**6 - 2*x**2 - 1349*x - 1?\nAnswer: -237960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*a + 61, 3*w + 0*w + 3 = 0. Suppose 4*h - 7 - 13 = 0. What is the remainder when a is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4, 0.5, 1\/455, 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = -2*r, -5*n + r + 7 = -2*r. Let j be n\/(((-3)\/(-6))\/(-1)). Let f = j + 6. Calculate the lowest common multiple of f and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139697 + 698482\/5. Let j = -3\/14 + -2\/7. What is the closest to -5 in -4\/7, j, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 - 1\/18*x**4 - 1\/30*x**5 - 1\/27*x**3 + 0*x**2 - 1\/135*x**6 + 2*x. Factor a(n).\nAnswer: -2*n*(n + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Suppose 2*a = -4*r - 2, -2*a - 4 = 2*r - q. Put 5, a, 5\/4 in decreasing order.\nAnswer: 5, 5\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**(2\/15)*d)\/d)\/d)\/d)\/d**(-8))**(3\/10) assuming d is positive.\nAnswer: d**(46\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/120 + 7*d**4\/24 - d**3\/3 + d**2. Let y(b) be the first derivative of z(b). Let p be y(5). Which is smaller: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -617, -435, -253?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*(-4)\/14)\/((-226)\/(-231763)). Is l at least -589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 20*h**2 + 71*h + 37. Give t(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*c + 3*n, 3*n + 2 = c - 0. Let g be 4 + c + (3 - 1). Suppose g*m = m + 2*z + 9, 3*m + z + 1 = 0. What is the greatest common divisor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-10) + (-28)\/((-155400)\/(-1515)).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*n**4 + 5*n - 5*n + (-2*n + 2*n + 6*n)*(-18*n - 20*n**2 + 18*n)*(3*n + 0*n - n) to the form l*n + c*n**3 + j*n**4 + z*n**2 + p and give j.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Let b(p) be the third derivative of -73*p**6\/60 - p**5\/20 - p**4\/12 - 668*p**2 + 2*p. Is b(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290 - 151. Let s = 570 - b. Suppose -5*d + 439 = 2*o, -5*d + 0*o + s = -2*o. What is the remainder when d is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 16) to base 10.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44472, 44471, 44470, 44469?\nAnswer: 44468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748926?\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + -30. Let g = -35 - c. 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 8, what is -1434 + 160?\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 25 + 4 - y - 36. Let f = 5 - 8. Let a be k(f). Solve a*b + 5*g = -5, -b + 31 = -5*b + 5*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 407?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 4, -315 in decreasing order.\nAnswer: 4, 0, -4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/12 and -41\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1031)\/((-2)\/(18 + (-1 - 3))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 17. Suppose b = -t*b - 3*c - 14, 27 = -2*b - 5*c. Find the common denominator of ((-2)\/36)\/(b\/1034) and 59\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494 + 494 - 10755*x**2 + 5378*x**2 - 7*x**3 + 5379*x**2.\nAnswer: -7*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 + -90. Suppose -a = -2*q - 5*x, -2*q = 2*q + 3*x - 303. What is the highest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215576 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*a - 4058, a + 1216 = 4*h - 150. Which is bigger: a or -1347?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 0.8. Let i = -201 - -129. Let t be (-13)\/(-30) - i\/(-120). Which is the fourth smallest value? (a) w (b) 5 (c) t (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -5\/56*m**7 - 1\/20*m**5 - 142*m + 2\/15*m**6 + 0*m**4 + 0 + 0*m**3 + 0*m**2. Find z such that j(z) = 0.\nAnswer: 0, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 10*o + 800 = 0. What is o rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*n + 3*c + 310, 4*n + c + 454 = 0. Let l = 126 + n. Suppose m + 5*v + 9 = 31, -m + 2 = -5*v. Is l at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 11. Suppose -2*f = s + 29, -5*f = 3*s + 74 - 2. Let y = 4 + f. Let g(u) = -u + 2. Suppose -2*k + 3 = -1. Calculate k*t(i) + y*g(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5021 (base 6) in base 14?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + t - 5*t - 3 + 3 + (-3 - 2 + 0)*(-2*t + t - t) to the form h + i*t and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - 24. What is the least common multiple of z and 10\/2 + (-18 - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*t - 95801, -3*o + 3*t = -77570 - 209833. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*i - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-5)\/2)\/((-8)\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 3 (c) 0.2 (d) 11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002300 (base 4) in base 14?\nAnswer: 17b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 1, v: 2, d: 3, w: 1}. What is prob of picking 1 p, 1 i, and 1 v?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*z + 10, 0 = -4*q - 2*z - z + 23. Suppose q*v - 60239 = 3*f + 33361, 2*v + 5*f - 93600 = 0. Round v to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 0*n - 15\/2*n**2 - 14. Let k(f) = 2*f**2 + 8. Let h(l) = -l**2 - 5. Let m(c) = -8*h(c) - 5*k(c). What is m(x(t))?\nAnswer: -450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-6)*j)\/(j*j**(-8)*j))\/((j**(-4)\/j)\/j*j*(j\/(j*j**(-5\/4)\/j*j))\/j*j))**(-19))**(-10\/13) assuming j is positive.\nAnswer: j**(1805\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/3*3*(685\/(-411))\/(10\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2070 (base 8) to base 6\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 8*x. Let b(v) = -2*v**2. Give b(r(c)).\nAnswer: -50*c**4 - 160*c**3 - 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 13866.\nAnswer: 138660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 7641326650?\nAnswer: 7641326649.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/214635260 and -41\/7665545?\nAnswer: 214635260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456735285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m = -60. Let j = 13 + m. Suppose d - j - 24 = 0. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 2669128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 4*i**3\/3 + i**2 + 5*i + 24. Let c(y) = -y**2 - 1. Give 3*c(s) + h(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 2)*(3*p + 2*p - 3*p)*(3 - 2 + 0).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a century in months?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285794 is divided by 5289.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7682258*h**3 + 3841130*h**3 + 3841121*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 33 + 0 = 0. Suppose 473 = -0*b + k*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**4 + 0*c**4 + 0*c**4)*(98 + 89 - 164) - 1 + 1 + 6*c**4 to i*c**3 + u*c**2 + d*c**4 + o*c + q and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 576 and 544476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47*348\/87232)\/((-3)\/48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w - 1102. Let g(d) = -d**2 - 6*d. Calculate the remainder when j(126) is divided by g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from egneaglggg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 5*y - 8. Suppose 1 + 3 = 2*n. Suppose 4 = 5*x - x + n*q, -2*q = -4*x - 4. Suppose x = -6*i + 3*i - 21. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -776, -0.5, -0.2.\nAnswer: -776, -0.5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104702270 divided by 3.\nAnswer: 104702270\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i + 9. What is the units digit of h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.053 - 15.553. Let z = 15 + g. Suppose 0 = p + 4*x + 30 - 6, 0 = p + x + 9. Which is the second biggest value? (a) z (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -76*h - 6551. Calculate y(-86).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and -335.2.\nAnswer: -26.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5681693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 0.008, 56581, 8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 190. Let q(j) = 38*j + 3. What is s(q(u))?\nAnswer: -1444*u**2 - 228*u + 181","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2249*n**2 - 1255*n**2 + 361*n**2 to the form b*n**2 + p*n + h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 12:24 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 98*s**2 - 2*s + 1. Suppose 0 = 23*l + 6 - 466. Calculate the remainder when r(1) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + -3 + 11 - (823 + -852)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 130900 = -19*w + 24*w, 2*w - 130891 = -5*l. List the prime factors of l.\nAnswer: 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 56 = -22. Let s be 3\/(-9) + (-314)\/(-6). What is the greatest common divisor of k and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(2))**2 + -3*sqrt(128).\nAnswer: -26*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3253 divide 704692957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/5)\/((-30)\/(-75)). Let h be (-3 + t)\/(6\/(-4)). Let z be ((-16)\/4)\/(-268)*h. Is 0 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4260153960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 6*j + 5. Let i be h(6). Let a = 102 + -95. What is the third derivative of -10*l**4 + i*l**2 + 10*l**4 - a*l**6 - 3*l**2 wrt l?\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.12922 decades to millennia.\nAnswer: 0.1212922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3) + sqrt(12) + 4 + sqrt(3) + 1 + -4)**2 + 5)*-1.\nAnswer: -81 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1225 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {m: 10, p: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 13*c**7\/42 + 2*c**6\/15 - 19*c**4\/4 + 726*c. What is the third derivative of z(s) wrt s?\nAnswer: 780*s**2 + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 17)*252\/(-15) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32, 4, -21\/4 in decreasing order.\nAnswer: 5, 4, -21\/4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f + 15. Let r be g(10). Let p(i) = -125*i**3 - 2*i**2 + 1. Let c be p(-1). Let o = c + r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**2 - 3*z**2 + 6*z**2. Let n(u) = u. Let w(i) = 6*i. Let m(v) = -34*n(v) + 6*w(v). Determine m(s(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/363609 + -1783502171\/4726917. Let c = u - -377. Let r be 1\/((-1)\/(0 + 1)). Is r smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 20, -4*q = 2*i + 2 + 4. Let h be 35\/(-21)*-3 - (-214)\/2. Suppose 192 = i*w - 0*w + 4*f, -4*f + h = 3*w. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 837290 and 4750.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6398131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 - -4) + -2)*2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*(-96)\/(-300)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**3 + 2*g + 2*g**2 + 81*g**3 - g**2 + 0*g**2 + 2*g**4 + 41*g**3 as f*g**4 + k*g**3 + i*g**2 + o*g + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 300222240 (base 5) to base 13\nAnswer: 323c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 4\/447 (c) 0.1 (d) -0.7 (e) -8\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-36) - (-16785)\/81. Calculate the greatest common factor of 23 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220*q + 31 = 1209*q - 35 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.4, 5, -1\/4 in descending order.\nAnswer: 12, 5, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 3*q - 103*q**2 - 3*q + 12*q**2.\nAnswer: -97*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p - 3*p**2 + 5*p**2 - 2*p + (0*p + 2*p + 3*p)*(6*p - 2*p + p) + 5 + 3*p**2 - 5 in the form b*p**2 + t + v*p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yehh when four letters picked without replacement from eehayayeyehehyaey.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-4))\/(14\/28).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*((n*n*n\/n**(-9)*n)\/n)\/n))\/n**(8\/5))**(-17))**3 assuming n is positive.\nAnswer: n**(3213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 10:54 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1251 + 654. Is -599 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1894*z - 35640 = 482*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1382*c + 66*c - 2732 - 46140 = 256*c for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(156\/(-5512)*2)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076*d - 95 - 23 - 25 - 539*d - 538*d - 104.\nAnswer: -d - 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000235863601 rounded to seven dps?\nAnswer: -0.0002359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00845048761 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/920 and 113\/4600?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -35, 1, 3 in descending order.\nAnswer: 3, 1, -35, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 43 + (-20)\/(-5). Suppose 2*q + 3*w - 25 = 0, 3*w + t = 3*q + w. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 19*c**2 + 23*c - 21. Let x be p(18). Let s = 75 - x. Let y(l) = l**3 - 5*l**2 - 5*l - 2. Calculate y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399 - 373. Suppose m*a - 26 = 338. Calculate the greatest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5*x**6\/12 - 5*x**5 - 10*x**4 + 5*x**3\/3 + 85*x**2\/4 + 20*x + 1381. Determine t so that p(t) = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*-1)\/sqrt(10))\/(-2*sqrt(8)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*i + 2. Is i less than 2\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7368 - 66245\/9. Suppose 2 - 71 = -3*a. Suppose -3*t + 62 = -2*g, 2*t - g = 4*g + a. Calculate the common denominator of d and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14388931 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/21 and -25\/11.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 - 1. Let q be a(1). Suppose -q*u = 17 - 7. Let r be (u + 1)\/(10 - 1). What is the second biggest value in r, -5, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 6*s + 5. Let b be f(-5). Let a(p) = 4*p - 5*p - 4 - 10. Determine a(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2161*d + 2 + 2163*d - 2 + 119*d**2 - 35*d**2 to the form q*d + z*d**2 + t and give z.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 + (-2016)\/435. Let h = -18\/5 - i. Let v = -32\/87 + h. Which is the closest to v? (a) 0 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 766, 767, 768, 769, 770, 771?\n\"Answer: p + 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 14*b - 8*b)*((-4*b**2 + 2*b**2 + b**2)*(5*b - 5*b - 2*b) + (0*b**2 - 3*b**2 + 2*b**2)*(28*b + 27*b - 32*b) + 2*b**2 + b**3 - 2*b**2).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -3*u**3 + u**2 + 11*u. What is a(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 7*r**4\/3 - 87*r**2\/2 - 101*r. Differentiate y(x) wrt x.\nAnswer: 56*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46908?\nAnswer: 2, 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**3 + 2 - 6*t**4 + 4*t**4 - 4 + 6*t**3 in the form d*t**3 + y*t**2 + l + p*t + c*t**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*s**4*z**2 + 2*s**3*z**3 - 2*s**3 + 4*s**2*z + 14*z**3 wrt s?\nAnswer: 144*s*z**2 + 12*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5\/5 + 3479192*m**4\/5 + 6958404*m**3\/5 - 3479192*m**2\/5 - 1391680*m = 0.\nAnswer: -2, -1, 0, 1, 869800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -9*r**4\/4 - r + 2. Differentiate p(h) with respect to h.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 h when four letters picked without replacement from {e: 3, h: 1, x: 6, u: 1, d: 2}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*u + 3*n + 43 = -95*u, -5*n + 11 = 2*u. Calculate the remainder when 67 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-200)\/6400 + (-778)\/(-320))\/((-8)\/210).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 5*v + 6. Suppose -3*x = 15, 13 = -2*j + 5*j + x. Determine t(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/470 and -59\/235.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + sqrt(108) + (-1*sqrt(108) - sqrt(108))*-6)\/(sqrt(864) + sqrt(864)*-1 + sqrt(864)))\/(-2*5*2*sqrt(726)))**2 + -1.\nAnswer: -580751\/580800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - 22*z - 19. Give a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.125 - -0.066. Let x = -0.069 - v. Let k = -4.74 + x. Which is the fourth smallest value? (a) 0.5 (b) k (c) 4 (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from xiixrerxiiarx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 26, -2 in decreasing order.\nAnswer: 26, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*b - 5*y + 72, -5*b = 5*y - 155. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -22662?\nAnswer: -22661.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57, -403, -1047, -1989?\n\"Answer: -149*x**2 + 101*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**8)\/m**3)\/(m*m*m*m**4*m\/m**0)*(m*m**(1\/2)*m*m*m**8)\/(m**(2\/9)\/m**4) assuming m is positive.\nAnswer: m**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -6 + 5 + (2 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 - 2*v - 2. Let k(l) = l**2 - l. Let x(n) = -3*n + 5. Let t be x(2). Determine t*k(s) + a(s).\nAnswer: 2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -955.512 + 16.412. What is y rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7303710 is divided by 561822.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*q**3 + 137*q**2 - 137*q**2.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2340 and 2600.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1612\/5 + 322. Put 2\/9, 73, z, 1\/4 in ascending order.\nAnswer: z, 2\/9, 1\/4, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + l**4 + 0*l + 2*l**4 - 2*l**4 - l**4 + (-11*l**3 + 13*l**3 + 5*l**3)*(-l + 3*l - l) - l + 3*l**4 + l.\nAnswer: 10*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -8. Let v(a) = 134*a - 248. Let g be v(2). Let f = i + g. Solve 3*j = -f*r - 14 - 4, -r + 3 = -2*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*i - 4481860 = 3296027. What is the greatest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = 3*j - 4*j, 20 = -5*j. Suppose m*n = 5*n - 12. Let u = 6 - n. Solve 3*s - 2*s = u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11667?\nAnswer: 3, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (6 + -18 - (14 + -21 + 6)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 920105.94.\nAnswer: 920105.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 + 2. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/714 - -29\/102. Factor 0*l**2 - 2\/7*l**3 + z*l + 0.\nAnswer: -2*l*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 65, 1 in decreasing order.\nAnswer: 160, 65, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {j: 1, d: 1, y: 2, k: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -30 - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*f, -4*f + 603 = h + 94. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*q + 18, 3*q + f = 2*f + 14. Solve 2*h + 5 = -q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2*u)*(14 - 14 - 8*u - 7*u + 0*u - 8*u + (5 - 3 + 0)*(0*u + 0*u + u)) to v + p*u**2 + d*u and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -2. Let f = 20 + i. Suppose -j - 3 = 4*k - 1, -3*j = 2*k - f. Calculate the highest common divisor of j and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 3 + 2*h + 21. Does 13 divide s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 19329567 and -1.8.\nAnswer: 19329565.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 1:35 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1\/2*(1 - -716). Let p = t - 46606\/65. Let z = p - -133\/195. Which is the third smallest value? (a) 25 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 2 + 2\/3*g**3 + g**2 - 3*g. Calculate the remainder when q(3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/42*2*(-538)\/16. Let r = n + 39. What is the nearest to 2\/7 in -4\/5, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*x - 2. Suppose -2*y = -4*y - x. Suppose j - 3*i + 2*i + 4 = 0, 2*j - 13 = -5*i. Is j at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4290 - -6369. List the prime factors of l.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 19*x = 1026. Suppose 3*d = -5*d + 72. Suppose -14*o + 285 = -d*o. What is the highest common factor of o and x?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -75 (b) -1\/4 (c) 34 (d) 5 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 213512502 + -4?\nAnswer: 213512465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -8. Let d = r - -10. Suppose 0*q + 2*q = d. Solve -2*k - 4 = 3*c, -q*c - 1 + 5 = -2*k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8\/(z**(4\/5)*z) assuming z is positive.\nAnswer: z**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 - 33ecab?\nAnswer: -33ece1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 0*(-1)\/(-2). Sort n, -1, 3.\nAnswer: -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b4a (base 15) in base 13?\nAnswer: 120a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 319753161 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 11) to base 5.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjfdtfttgydjjgttggt. What is prob of picking 1 g, 1 d, and 2 f?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*m**2 + 7*m**2 - 15*m**2)*(226 + 365 - 90) in the form p*m + x + s*m**2 and give s.\nAnswer: -11523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z - 1. Let w be (-33)\/(-4) - 1\/4. Let a = w - 4. Calculate the remainder when x(3) is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 704618 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 + 4*t - 35. What is o(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 66 = -4*y + 3*w, 3*y - 5*w - 67 = 0. Suppose -4*r - 6 = 4*d + 2, -5*d + 2*r = -11. Solve -3*p = -d - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*q = 633, 2*w - 1296 = 3*q + q. Suppose -3*k - 2*j = -0*k - 959, 0 = 2*k + 4*j - w. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.18, -61, 2221\/4 in ascending order.\nAnswer: -61, -0.18, 4\/5, 2221\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -201.3.\nAnswer: -205.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bb5 - 5?\nAnswer: -bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546 = 4*g - 10*g. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2 + sqrt(171) + sqrt(171)*-1 - (sqrt(171)*-4*1 + sqrt(171))) + 0)*-2)**2*4.\nAnswer: 14400*sqrt(19) + 617200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2809 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1925\nAnswer: -3\/1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 24 = f + 2*n, -62 = -3*f - 2*n. Calculate the remainder when 77 is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 5*k**2 - 6*k. Let a be r(-6). Let l = a - -2. Suppose -l*f = -3*f + 12. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-123)\/12 - (-4)\/16. Let m be 6\/((-5)\/(q\/4)). Let d = m - -1. What is the remainder when 13 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1688563 and 4891.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 352, 489\/5, -1\/9, 5 in descending order.\nAnswer: 352, 489\/5, 5, 0, -1\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18*r. Let x(v) be the second derivative of -499*v**4\/12 - 574*v + 3. Give y(x(o)).\nAnswer: 8982*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -477442 by -113.\nAnswer: 477442\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:04 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-105)\/(-10)*4\/(-12)*-2. Suppose -s*m = -o - 4*m - 9, 0 = -o + 2*m - 5. Let z(j) = 2*j**2 - j - 3. Determine z(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u + 2. Let i be (0 - (-7 + 2))*(-19)\/19. Let l(z) = -11*z + 2. Calculate i*l(j) + 6*y(j).\nAnswer: -5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702539 is divided by 350883?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -871.25097 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6))\/((-3)\/(-156)). Let z = 38 + m. Let s be (-2)\/((z\/10)\/(4\/(-10))). Which is the closest to s? (a) 0 (b) -11 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -600332 (base 10) to base 6\nAnswer: -20511152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 8:48 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80276*-0.04.\nAnswer: 3211.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 125144*a**2 - 9*a + 9. Let v be g(1). Suppose -3*k + v = 33161. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -z + 215*d - 216*d, 5*z = -3*d + 32 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**7\/105 - j**6\/45 + j**5\/90 + 5*j**2 + 4*j. Let a(t) be the first derivative of w(t). Solve a(o) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*s + 6282 = -157*s. What is the remainder when s is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 3 (b) 1\/23 (c) -34.1 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -169066629.86 rounded to the nearest 100000?\nAnswer: -169100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/110 and 91\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r + 12*r = 12. Sort 0, r, -6 in decreasing order.\nAnswer: 0, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, 231, 575, 921, 1269, 1619, 1971?\nAnswer: 2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(6)\/(-6*sqrt(2)*2))**2.\nAnswer: -sqrt(3)\/6 + 49\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*a - 13. Let z(x) = -19*x + 5*x - x**3 + 13*x + 2*x**2. Let n be z(1). Solve 3*y + n*y = -a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/8 + (-1 - 23\/(-8)). Let n(q) = -q**2 - 1. Suppose -w = 1 - 0. Let h(f) = 2*f**3 - 1. Let v(u) = w*n(u) - h(u). Calculate v(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-32) + 116\/(-16). Put -0.3, k, -1\/3, 0.3 in descending order.\nAnswer: 0.3, -0.3, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 >= -45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2096744 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 13*b**5\/10 + b**4\/6 - 5*b**3\/6 - 2*b**2 + 113*b. What is the second derivative of l(i) wrt i?\nAnswer: 156*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/23 (b) 2 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w + 638 = 133*w - 32*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 + 300. Let d = f - 21. What is d rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3950 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -5, 5\/2, -0.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -123.8, -55, -2\/7 in descending order.\nAnswer: -2\/7, -7, -55, -123.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2088764*q**2 - 1120839*q + 3 wrt q.\nAnswer: -4177528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-64 + -8)\/(-12) - -227)\/((-2)\/(-30)).\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810 a factor of 220339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -41*a**2 - 18*a + 9. Let y(h) = 9*h**2 + 4*h - 2. Let d(t) = -2*n(t) - 9*y(t). Let z(p) = -121*p**2. Calculate d(z(o)).\nAnswer: 14641*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2629, -2548, -2471, -2398, -2329, -2264?\nAnswer: -2203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 0.648?\nAnswer: -9.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10221, 20396, 30559, 40710, 50849?\n\"Answer: -6*y**2 + 10193*y + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(2*n + 3*n - 4*n)*(3*n + 2*n - 4*n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/2)\/(18\/6). Suppose o = -3*u - 3*y + 15, 5*y = 4*u - 2*u + 11. Let q = -0.7 - -0.2. Which is the closest to u? (a) 0.4 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 17*j**2 - 8*j + 74. Let t = 48 + -30. What is the hundreds digit of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26992, -107626, -242012, -430150, -672040?\n\"Answer: -26876*v**2 - 6*v - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 2*r**6\/3 + 10*r**3 - 12*r. Find the second derivative of s(q) wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2053 = -5*f - 21955, 5*f + p = -23998. Let o be (f\/(-56))\/(7\/(-507150)). Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, j: 7}. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*-2)\/(92\/(1932\/42))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from aappappaapaa.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/7)\/(10\/(-4))*10\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 48. Let w be k(5). Suppose g + w = 5*n, -3*n + 3*g + g = -21. Solve 5*i - n = 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*i, 3*x + 5*i - 2058 + 433 = 0. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622158 to the power of 1\/2, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/110*(8 + -13). What is the biggest value in x, -1\/11, -3\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 59\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 580357567 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t**(-4))\/(t*t\/(t*t**0))**(-4) assuming t is positive.\nAnswer: t**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -288.1 rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + w**4 + 3*w**4 + (0 + 5 - 1)*(33*w**4 - 34*w**4 + 54*w**4)*(-1 - 1 + 1).\nAnswer: -211*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 21*z**2 + z + 14. Let m(u) = -u**2 - 34*u - 261. Let g be m(-10). What is i(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -106485509\nAnswer: -106485508.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -9\/2*x**2 + 14 + 0*x. Calculate w(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - g = g + 2614, 4*u + 3*g = 3457. Suppose 4*y + 10*y = u. What is the lowest common multiple of y and 12?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(0 + sqrt(11)) + (sqrt(11) - -1*(sqrt(11) + -1)) + 1*(-2 + sqrt(44) - (sqrt(11) - sqrt(11)*2 - sqrt(11) - sqrt(11))*6))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337 is divided by 393.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 69698*d + 1184776. Calculate z(-17).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/83600 and -61\/950?\nAnswer: 83600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 4*j - 14*j + 187 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*d + 26*d + 36*d - 44*d**2 to the form k + h*d**2 + b*d and give h.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5315 equal to 5315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101 and 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167280 divided by -41820.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174286*c**4 + 23877*c**2 + 3*c wrt c.\nAnswer: -4182864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -153432537 + -22?\nAnswer: -153432561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j + 1. Suppose -37 = -5*n - 7. Let d(l) = l. Calculate n*d(t) - g(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Let g(n) = n**3 + n**2 + 6. What is the units digit of g(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r + 28*r = 121*r - 106 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1168911 divided by -43293.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -19*f + 11. Suppose -15 = 5*j + 15. Let v(o) = 9*o - 5. Let r(x) = -x**3 - 16*x**2 - 31*x - 55. Let b be r(-14). Determine b*v(h) + j*d(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let c(r) = 5*r - 35. Let i(b) = -c(b) + 3*m(b). Is i(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*s - 20 + 37 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1194631.\nAnswer: 1194631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/4))**4\/(m**(-1\/16)*m*m**9) assuming m is positive.\nAnswer: m**(-111\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5426 - 37988\/7. Is 133 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o + 4. Let m(v) = -209*v + 55. Determine 4*m(p) - 55*q(p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13579.\nAnswer: 37, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*j - 180 = -3*h, -2*j - 144 = -4*h. Suppose 3*n - 4*m = -47 - 37, n - 4*m + h = 0. Is (-46)\/(n\/10 + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdd when three letters picked without replacement from drkdkkt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -4, 60 in descending order.\nAnswer: 60, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*g = -212, -4*i + 5*g = -0*g + 814. Let n = i - -209. Solve -n*b - b = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*((i\/(i*i**20*i*i))\/i)\/i*i\/(i**13\/i))\/(i**(4\/21))**(-48) assuming i is positive.\nAnswer: i**(-174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*r - 7678632 - 6856368. Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2.7, -1.\nAnswer: -3, -2.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -14*p + 86. Let s be q(6). Solve -4*m - s = -3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75735.45 kilometers in millimeters?\nAnswer: 75735450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2\/11 (c) -1\/19 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 974.075 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*-16.81251\nAnswer: 50.43753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -450945*-0.19\nAnswer: 85679.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*o + 110, 0*o = d - 3*o - 75. Does 10 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 609 = -21*h. Calculate the greatest common divisor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(19)*-1)**2 + (sqrt(76)\/sqrt(4) - sqrt(19))*-3 + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3905 + -2630. Let x = i + -809. List the prime factors of x.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d - 2. Let z(x) = 2*x**2 - 8*x - 4. Let r be z(6). List the prime factors of d\/(r\/8)*-35.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vere when four letters picked without replacement from {v: 2, x: 2, e: 2, r: 1, y: 8}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -121944960 rounded to the nearest 10000?\nAnswer: -121940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.014 + -0.286. What is the third biggest value in 4, 3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x + 14. Let d(a) = 14*a + 42. Let l(s) = 4*d(s) - 11*p(s). List the prime factors of l(8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -851, -1714, -2577, -3440?\n\"Answer: -863*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -23 - 27 - (9 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhhh. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 28*b - 386 + 14 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 0*b + b + (3 - 2 + 1)*(-2*b + b + 2*b) + 0*b + b - 4*b - b - 2 + 2 + (-3 + 4 + 0)*(5 + 0 - 1)*(2*b + 0*b + 0*b) to f*b + o and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/(-3))\/((-6)\/(-162)*-6). Is 6 a factor of 9\/(((-12)\/30)\/((-32)\/x))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-119)\/231 + 2\/11. What is the second biggest value in c, -7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15125 and 12.123?\nAnswer: 183360.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110776554, -110776549, -110776540, -110776527, -110776510, -110776489?\n\"Answer: 2*v**2 - v - 110776555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -3*o**4\/4 - o**3\/2 + 8*o**2 - 1. Let w(m) be the second derivative of z(m). Find the first derivative of w(c) wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 2, 1312 in decreasing order.\nAnswer: 1312, 31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 3) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, h: 2, z: 8}. Give prob of sequence ddh.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 5 + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**4 - 57*f**3 + 3*f**2 - 176*f + 92 wrt f.\nAnswer: -36*f**2 - 342*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 84141 and 84141 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 71*p - 4444. Calculate j(63).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-54)*(-9)\/(-6). Which is the third smallest value? (a) -0.3 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*1\/(-2). Which is the second biggest value? (a) u (b) -9 (c) -1\/2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7009191 centuries?\nAnswer: 0.07009191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 5)*(-l + 3 - 3) + 2*l - l + 2*l - 2*l + 4*l - l)*(-1 + 1 - 2).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87721094*o**3 - 83790072*o wrt o?\nAnswer: -526326564*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 129*z - 85. Let n(j) = -4. Let o(t) = -5*n(t) + r(t). List the prime factors of o(16).\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.1367 - -15.7062. Let l = -22.9 + z. What is l rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236166573 by -407887.\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 449 + 337. Suppose 4*z + 1042 = 2*p, 5*z - 3*p = 2*z - u. Let q = -97 - z. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -10, -24, -64, -142?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39628 by 6.\nAnswer: -19814\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let r be ((6\/(-4))\/3)\/(15\/12*2). What is the biggest value in 4, r, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k + 163*k**3 - 22*k**2 - 2*k**4 - 163*k**3 + 4*k. Differentiate y(q) with respect to q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2125246426.\nAnswer: 2, 503, 2112571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/23237280 or -1?\nAnswer: -1\/23237280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 - 3*o**2 - 3*o - 1. Give s(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kmjjjmjmkkmm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4455, -4471, -4497, -4533, -4579?\n\"Answer: -5*i**2 - i - 4449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 4. Let m be v(4). Suppose -5*y = -0*y. Let z be m - 3\/(-6)*y. Solve -i + 4*q + 3 = z, -2*q = -4*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/11439 and -83\/99.\nAnswer: 125829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 1.2, 2, -1, -2\/7, 395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 - -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26038610 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scv when three letters picked without replacement from schvcqhhqcz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (406\/3)\/2 - 127\/(-381). Calculate the highest common divisor of 34 and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*y)*(-79*y**3 - 1137*y - 41 - 26 + 2271*y - 1134*y).\nAnswer: 316*y**4 + 268*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -369 - -1115. What are the prime factors of q?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 96916*t + 775328. What is v(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000220239 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31707?\nAnswer: 3, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 5, c: 1, r: 1, b: 2}. What is prob of picking 1 f, 1 r, and 1 b?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 3477828.\nAnswer: -7\/1159276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305976, -611701, -917424, -1223145, -1528864, -1834581, -2140296?\nAnswer: -2446009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35629)\/(-4059) + (0\/2 - 2\/(-9)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320 (base 5) in base 2?\nAnswer: 1101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 39. Suppose 4*o - f = -5*o. Suppose -2*k + 5*n + 212005 = o*k, -n - 1 = 0. Round k to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**2 + 4*u - 8. Let b(r) = -10*r**2 + 5*r - 9. Determine -4*b(p) + 5*w(p).\nAnswer: -5*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from iyyrryyiiyyiiyyy.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*f**3 + 2418350*f + 999112 wrt f.\nAnswer: 30*f**2 + 2418350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 10*h**2 - 10*h + 9. Calculate z(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97364 is divided by 48?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*j + 12*j**3 - 75*j - 1 - 2*j**2 + 3*j**3 - 6*j**3 in the form u*j**2 + q + i*j + y*j**3 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2564, 2550, 2520, 2468, 2388, 2274, 2120, 1920?\n\"Answer: -b**3 - 2*b**2 - b + 2568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p + p - 7*p)*(-3 - 2 + 6) + (0 - 3 + 1)*(-3*p - 1 + 1) + p + 2*p - p as d + v*p and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-seven halves of a century?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - p - 84 = -5*s, -20 = 5*p. Calculate the smallest common multiple of 14 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1651 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 269226.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 1 + (-2 - (49 + -52))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 850 + 97. Does 29 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2529?\nAnswer: -1264.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2))\/(12\/(-24)). Are n and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + -2 + (0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6*t = 5*t + 3, 4*t - 8 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-3\/5)*f*f)**(10\/9))**(-3\/4))**(-32))**24 assuming f is positive.\nAnswer: f**896","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 7*g**2 + 6*g + 1. Let a be v(6). Let t = -114\/143 - -8\/13. Is t greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.7. Let w be (-62)\/88*182\/(-169). Let o = 15\/26 - w. Which is the third biggest value? (a) o (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -25, -20, -13, -4, 7?\n\"Answer: p**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -740851338 and -0.5.\nAnswer: 370425669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5989.857 + 5992. Round a to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -175 (c) 14 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -757 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let n = -65 + 65. What is the closest to n in z, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2378 - -582608\/245. Which is bigger: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 70*x**2 - 352*x + 340. What is the units digit of l(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 96257.5 and -158 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 8:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*-1)**2 + -2 - ((sqrt(140)\/sqrt(4))\/sqrt(5) - (0 + sqrt(63))).\nAnswer: 2*sqrt(7) + 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u = 12. Let j = 3 + 3. Suppose 3*b = -2 - 1, -u*b = 5*y - j. Solve -5 = -y*w + w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 6626\/1943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0813468 and -10.\nAnswer: 0.813468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -65. Let f(a) = a**3 + 9*a**2 - 10*a + 10. Let o be f(-10). Suppose d = -0*d + o. What is the remainder when y is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-353)\/2*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13778617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*m - 577*m - 86*m)*(m**2 + 3*m**3 - m**2).\nAnswer: -1908*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*g - 24 = 0, 7*q = 6*q - 3*g - 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 49*h + 103 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -604330 <= -604330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976 > 2976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - ((-3 - (-7 - -12 - 15)) + (22 - 24))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -43 + 34 + 120 + -1?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(110) - (sqrt(110) + sqrt(110)*2 + sqrt(110))))\/(sqrt(70)\/(sqrt(35)\/sqrt(5))))**2 + 0.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**6\/24 - 3*s**4\/8 - 10*s**2. Find the second derivative of l(h) wrt h.\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -28, 5375, 2 in descending order.\nAnswer: 5375, 2, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (-7 + -1 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -216 (b) -38 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1170 - -1172. Let p = 2 - 2. Suppose a + o*k - 1391 = p, 2*k + 8 = -0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 11*f + 8. Let z be j(7). What is the units digit of ((-16)\/z + -4)*-20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - l = 4 - 10, -5*l = -s - 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (-21 + 27 + (-47 - -25)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*l - 0*l. Let m(z) = z**2 - 2*z - 2. Let b be m(-2). Suppose n - l = b. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21200365 bigger than -21200371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.069, 2\/5, -26?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 7*r - 12*r - 132 = 0. Let s(d) = -77*d**3 - 6*d**2 + 11. Let l(g) = -13*g**3 - g**2 + 2. Determine r*s(k) - 34*l(k).\nAnswer: -20*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43578, -43605, -43632, -43659, -43686, -43713?\nAnswer: -43740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.41 + -3.17. Let p = t + 6.97. Round p to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -56*t + 140 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/12 + 1828*j**2. Let o(m) = 25*m - 2 + 2. Give o(q(d)).\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2. Let m(c) = 3*c**2. Let i(a) = -a**2 - 3*a**2 - a**2 + a**2. Let l(b) = 4*i(b) + 5*m(b). Calculate l(o(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7271*u**2 + 14757*u - 465501597?\nAnswer: -14542*u + 14757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1922, -3844, -5766?\nAnswer: -7688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12058 divided by 6.\nAnswer: -6029\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 2. Let t = h + -1. What is the second smallest value in 5, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 45 - (-2 - 3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 534 + -512. Find the second derivative of 40*d + 55*d**3 - 21*d**3 - 22*d**3 - u*d**2 + 24*d - 14*d**3 wrt d.\nAnswer: -12*d - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 332718929*y**3 - 792270772.\nAnswer: 998156787*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0)*(-1)\/(-8)*-8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 25*j + 16. Let z be a(12). Suppose -3*o - 3*p + 10 + 38 = 0, -2*o - 3*p + z = 0. Solve -10 = -3*h + 2*k - 35, -5*h - k = o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (560\/6080)\/(301\/344)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3355*x**5 - 704 + 704 + ((4 - 2*x - 4)*(-4 + 4 - 3*x) + 0*x**2 + 0*x**2 - 2*x**2)*(4*x**3 - 4*x**3 + 2*x**3).\nAnswer: 3363*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5\/11 - 24*g**4\/11 + 10*g**3 - 240*g**2\/11 + 248*g\/11 - 96\/11 = 0. Calculate g.\nAnswer: 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43150443 (base 6) to base 11.\nAnswer: -7a0309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 32153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 4*h**2 - 11*h + 9. Let s be a(2). Let c(r) = 11*r - 6*r - 4*r + 4. Let n(m) = -m - 3. Determine s*n(p) - 4*c(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2425384 (base 12) to base 4.\nAnswer: -122301113110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 4.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/108 and 17\/1642296.\nAnswer: 14780664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 9 + 5 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:49 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b = 9. Let x be (-1)\/((b - -2)\/(-2)). Let m be 33\/12 - x\/8. Calculate the greatest common divisor of 21 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*t + 5*o, 17*t - 1889 = -3*o - 1918 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 438913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 1 - (134 + -85 + 11 + 22)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6)*((15114\/84)\/(-11) - (-3)\/(-21)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + b + 7 = b, -12 = -4*t - 4*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2759 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2976 and 21576.\nAnswer: 86304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -20 + (-3 - (-225929)\/9821). Which is the second biggest value? (a) t (b) 1\/3 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81.90216 and 2.1.\nAnswer: 171.994536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/9, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*s + 11 = 0, 2*c + 5*s - 11 = 4*c. Let b be (1\/c)\/(2\/(-36)). Solve z - 5 = 3*u - z, -2*u + 4*z = b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3*z**4 - 2*z**2 - 6 + 5 + 0 to w + j*z**4 + a*z**3 + y*z + q*z**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1086\/229?\nAnswer: -1086\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -1 (c) -2\/33 (d) -2 (e) 31\/5 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.3841g to micrograms.\nAnswer: 53384100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*c + 29*c - 97*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((525\/14)\/15)\/((-4)\/(-3)*84\/3360).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.2, 13.98, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (5 - 31 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31904 (base 12) to base 5.\nAnswer: 4041421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(4*k + 0*k - k)*(-3*k**2 + 5*k**2 - 4*k**2) + (-49*k**3 + 15*k**3 - 176*k**3)*(-2 + 3 - 2).\nAnswer: 204*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*8\/680 + 19\/306.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**4 - 2*k**3 + 78200*k**2 + 1124593*k.\nAnswer: -48*k**2 - 12*k + 156400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/63*-30*(-1 - 0). What is the thousands digit of (-13539)\/x + (-4)\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 688 - 688.031. Let q = p + 0.030691. What is q rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/9 and 13\/1949.\nAnswer: 17541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 6819*s + 6812*s - 82.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 685591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117268\/7 - -16753. Sort -13, 3\/5, q in descending order.\nAnswer: 3\/5, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 + 9*g - 12. Give n(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p**(2\/9))*p)\/p**(-4\/3))**(-47))**(-3) assuming p is positive.\nAnswer: p**(1316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 139 = 133. What is the second derivative of -w*c**5 - 6*c - 5*c + 18*c**5 + 7*c**5 wrt c?\nAnswer: 380*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67551 (base 11) in base 4?\nAnswer: 113320200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x + 5 + 6*x - 2*x**2 + 5*x. Let h(a) = a**2 + a - 1. Let t(p) = 2*p**2 + 9*p. Let l(k) = 4*h(k) - t(k). Determine -6*l(r) - 5*u(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1835, -3669, -5501, -7331, -9159, -10985?\nAnswer: -12809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.725134 rounded to zero dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50\/17 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1836 is divided by 455.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1001001001?\nAnswer: -1001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 4*sqrt(176))\/sqrt(4) + 1 + -2)*4.\nAnswer: -4 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 13006846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -201877 - 342575. Let j = n - 107484. Suppose 0 = -d - 0*d + j. What is d rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 188251234187614.95999998 + -188251238277048. Let g = -4089433 - l. Let j = -0.04 + g. Round j to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 55688338924 and -2.38?\nAnswer: 55688338926.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10455 - 10061. What is the smallest common multiple of 68 and x?\nAnswer: 13396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*t**2*z - 3*i*t**2 + 163*i*t*z - 2160*i*t + 4*i - t**2 - 6*t*z - 3*t - 3262*z + 90 wrt z.\nAnswer: -i*t**2 + 163*i*t - 6*t - 3262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 + 2) - (-4 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(160)\/sqrt(5)*5)\/(sqrt(4) + sqrt(36)*4).\nAnswer: 12*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**4\/2 - c**3\/2 - c**2\/2 + 14*c. Let b be n(-1). Solve 2*j - b = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9174 divided by -6.\nAnswer: -1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8547 + -10?\nAnswer: 8537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3760, -2\/9, 0.05, 103\/11.\nAnswer: -2\/9, 0.05, 103\/11, 3760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 207410021 smaller than 207410021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 2\/7, 0, -1\/8, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58357609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 - 3*c - 3*c**2 + c in the form t + z*c**2 + a*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -8)*4\/(-10). Let z be 18\/(-9) + 64\/8 + 0. Suppose 2*r = -2*s + 300, z*s + a*r - 748 = s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7 - 2*c + 0*c + 17 - 9. Let o be t(0). Suppose -2 + o = -m, 3445 = 4*u - 3*m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2086719713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30230 (base 4) in base 14?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -147697 rounded to the nearest one thousand?\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -150*t. Let n(u) = 6*u**2 + 4*u. Calculate b(n(y)).\nAnswer: -900*y**2 - 600*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877715381 to the power of 1\/2, to the nearest integer?\nAnswer: 43333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59282 and 1250.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1469, -1173, -683, 1?\n\"Answer: 97*y**2 + 5*y - 1571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2069393 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -785, -1151, -1755, -2591, -3653, -4935, -6431?\n\"Answer: l**3 - 125*l**2 + 2*l - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*u - 21*u + 9*u - u**2 + 2*u.\nAnswer: -u**2 - 74*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 - 10*t**2 + 2*t + 4. Let z be j(-3). What is the tens digit of (-3 - 404\/z)\/(5\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 325*c - 17293. What is v(52)?\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4317942 - 10\nAnswer: 4317932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.242 - -0.258. Which is the second biggest value? (a) 2\/3 (b) h (c) 0.3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -327. Let f = -2050 + 2053. What is the remainder when j\/(-18) - (-8)\/(-36) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119206870 to the power of 1\/2, to the nearest integer?\nAnswer: 10918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 divided by -3.\nAnswer: 299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5668)\/(-2943) - 2\/(-27). What is the second derivative of -11*b**m - 4*b**2 - 39*b - 2*b**2 + 2 - 10*b wrt b?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000121 (base 3) to base 11\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25430473 or 178013309\/7?\nAnswer: 178013309\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + -160. Suppose u*x + 8 - 88 = 0. Solve 4 = -4*a + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97\/((-829932)\/(-368))*9\/(-3)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 8*o + 34, -5725*d - 3*o - 2 = -5728*d - 4*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2176 divided by 128.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18383 + 20011. What is the greatest common divisor of z and 518?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 14*l - 4*l. Let v(d) = d**3 + 9*d**2 - 12*d - 12. List the prime factors of v(l).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((22\/(-20))\/(-11))\/((-5)\/(-20)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-662)\/(-10) + 69237\/(-16485)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -19*r**2 + 22*r + 11. Let d(x) = 7*x**2 - 8*x - 4. Let p(s) = -11*d(s) - 4*n(s). Let c(f) = 250*f. What is c(p(z))?\nAnswer: -250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2. Suppose -13*y - 8 = -34. Let h(s) = -9*s**2 + 2*s + 2. Let o(n) = 26*n**2 - 7*n - 7. Let d(x) = y*o(x) + 7*h(x). Give p(d(c)).\nAnswer: -363*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(2*sqrt(108) + sqrt(108) + sqrt(12)))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 5*z + 0*z)*(2*z**2 - 2*z**2 - 2*z**2) + (4 - 4*z - 4)*(2*z**2 - 3*z**2 + 3*z**2).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*6\/16)\/(42\/(-336)). Let h = 10\/3 - 23\/6. Which is the nearest to h? (a) 3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 259, 396, 545, 712, 903, 1124, 1381?\nAnswer: 1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -102639, -102637, -102635, -102633?\n\"Answer: 2*w - 102641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/32 and 29\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*20\/(-25)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14008, -14007, -14006?\nAnswer: -14005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/3) + (-50)\/(-50)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from gguuggggg?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 = -2*v, 3*r - 12 = -5*v - 0*r. Suppose 0 = -2*a + v*d + 2*d - 202000, 3*a + 5*d = -303000. Round a to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40105444*d**4 - 31*d**2 - 1357815*d?\nAnswer: -962530656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12955780?\nAnswer: 2, 5, 647789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7 + 8155*w**2 + 0 + 2563*w**2 - w.\nAnswer: 10718*w**2 - w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -27*g**3 - 9*g**2 + g - 11. Let o(j) = 54*j**3 + 20*j**2 - 2*j + 22. Let w(c) = -9*d(c) - 4*o(c). What is the second derivative of w(s) wrt s?\nAnswer: 162*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11827 + -5.\nAnswer: -11832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -401842489*n**3 - 120*n**2 + 190542.\nAnswer: -2411054934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (48\/456 + 18\/190)\/((-792)\/(-202620)). Factor -3\/2 + 163\/2*m**3 - b*m**2 + 29\/2*m + 50\/3*m**5 - 60*m**4.\nAnswer: (m - 1)**3*(10*m - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3452281716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2\/7 + 48*z = 0. Calculate z.\nAnswer: 0, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.22 + -0.17. Let k = 0.05 - a. Let i = -0.2 + -4.8. What is the smallest value in 1\/8, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 + 448*x - 82. Let s be n(-75). Which is the second smallest value? (a) s (b) -0.1 (c) -5 (d) 4 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 563\/1480 - 1\/185. What is the nearest to 0.1 in 3, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3700 and 23\/1184.\nAnswer: 29600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, 127, 381, 737, 1195?\n\"Answer: 51*p**2 - p - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*k + 15, 12*k - 5*d = 16*k - 39. Let l(f) = 13*f + 3*f**2 - k*f - 7*f. Let c(p) be the third derivative of p**4\/12 + 6*p**2. Give c(l(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**2 - 10*a - 2. Let m be r(7). Suppose -5*i = -2*i - 4*p - 15, -5*p - 5 = -i. Suppose -h + 57 = s, -i*s - 4*h - 82 = -m. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/7 (b) 3 (c) 3\/4 (d) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53559, 51125, 48691, 46257, 43823?\nAnswer: 41389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:35 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 + 6*p**2)*((5 - 5 + 6*p)*(-1 + 5 - 3) + 3 - 3 + p - 3*p - p + p + (1 - 1 - 1)*(-3*p + 6*p + 0*p)).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, n: 1}. What is prob of picking 1 p and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000984 rounded to five decimal places?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/z**(-2))\/(((z*((z\/(z*z\/(z**(8\/3)\/z)))\/z)\/z)\/z)\/z**(2\/23)) assuming z is positive.\nAnswer: z**(-316\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8.9+1.0551267\nAnswer: -7.8448733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*f + 6 + 2 = 0, 0 = f - 3. Suppose 6 = -2*m + k*s, -5*m + 9 = -0*m + s. Let u = m - -2. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a**(-2\/7)*a))\/(a**(1\/4)\/a))\/(a**(-2\/7))**(-17\/2))**(-24\/13))**(-36\/11) assuming a is positive.\nAnswer: a**(-14472\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -76883913\nAnswer: 1\/76883913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382307 greater than 2382290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32416?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Suppose 38 = 4*f - 2. Suppose 5*c - 30 - f = 0. What is the remainder when t(c) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -160 - 122. Suppose 3*r - q = -3*r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 16*x**2 + 27*x - 11. Let m be g(-14). What is the highest common factor of 87 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0.3 (c) -5 (d) -10 (e) 0.04 (f) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 2\/3*x**6 - 2*x + 0 - 17\/5*x**5 + 6*x**2 + 0*x**3 - 2\/105*x**7 + 0*x**4. Factor i(t).\nAnswer: -4*t**2*(t - 17)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 7 = -m, 3*c - 15 = -3*m. Suppose c*n = -u - n, -2*n = 2. Let k be -3*(-4)\/9*u. What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllggg. What is prob of picking 1 g and 3 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -6*w**2 + 0 + 1\/21*w**3 - 1\/42*w**4 + 0*w + 1\/210*w**5. Factor n(h).\nAnswer: 2*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3315 - 664*d + 3294 - 6579.\nAnswer: -664*d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 30*u**2 + 7964 - 114*u**2 - 7964. Let q(f) = 11*f. Calculate q(a(b)).\nAnswer: -924*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 472.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/61))**(-1\/70) assuming x is positive.\nAnswer: x**(1\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k + 47*k + 47*k = 20*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514528 to the power of 1\/2, to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 30. Determine m(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (3 - 1))\/2. Let r = 23 - 23.3. What is the fourth biggest value in 2\/5, n, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223871, -223872, -223873?\nAnswer: -223874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126422, 126423, 126424?\n\"Answer: s + 126421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3300302 + -23?\nAnswer: 3300213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 1632*c - 8235.\nAnswer: 3*(c - 549)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -21 - 3*h**2 + 2*h**2 + 12*h + 0*h**2. Let g(i) = -i**2 + 23*i - 42. Let k(c) = 4*g(c) - 7*p(c). What are the prime factors of k(5)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 1\/280*a**7 + 0*a**6 - 6*a**2 - 1\/80*a**5 + 0 + 0*a + 0*a**3 + 0*a**4. Factor b(v).\nAnswer: 3*v**2*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*z + 0*z + 4 + 2*z wrt z?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**5 + 18*l + 16. Differentiate q(z) wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 15*m + 341. List the prime factors of m.\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 0.9. Let v = t - 0.5. Which is the biggest value? (a) v (b) -2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 16. Let i = -1 - -6. Calculate the remainder when d is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2 - 19*i + i**3 + 18*i**2 + 2 + 1 + 0*i**2. Let o be r(-19). Suppose -19*h + o = -18*h. Solve 5 = q + 2*g, q + g - 1 = h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (5 + 3 + -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 - h**4\/8 - h**3\/3 + 37*h**2. Let b(f) = -2*f**2 + 5*f + 3. Determine 3*b(n) + 5*o(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meylmmfyemmeily. Give prob of sequence me.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*l + 6*l + 106 = 0. Let g(w) = -w - 3*w - 4 + 3*w - w. Let o be g(-4). Solve 10 = o*j + 2*x, 5*x - l = j + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102 is divided by 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(66)\/sqrt(2) - sqrt(33)))\/((sqrt(110)*-2)\/sqrt(10) + sqrt(11)) + -6*((sqrt(9)\/sqrt(3)*3)**2 - (sqrt(75) + 1)**2).\nAnswer: 60*sqrt(3) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - u + 2. Let r be 3114\/865*10\/(-4). Let b(v) = -v**2 - 1. What is r*b(j) - 4*n(j)?\nAnswer: -3*j**2 + 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-6))\/(80\/(-60))*-2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 + 6 + 8 + -1122 + 1015.\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270 divided by -54.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7232)\/(-160))\/(2 - -66). Let s = f - -1\/510. Which is the second biggest value? (a) -2\/5 (b) -2 (c) s (d) 0.29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23027 - 19594. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.53194 - -0.03806. Let j = c + -47. Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*n + 5*g - 14, n = -4*g + 16. Let r(t) = t**2 + 3*t + 5. Let f be r(n). Solve -5*p = 15, -40 = 5*s - 0*s + f*p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -290904707*z**2 + 375702847*z?\nAnswer: -581809414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6484899 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - r + 5 = 0, 3*r = 10*w - 9*w + 15. Let u(f) = -9*f**2 - 2*f + 4. Let a(j) = 2*j**2 + j - 1. Let y(z) = 4*a(z) + u(z). Calculate y(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7211681, -14423346, -21635011, -28846676?\n\"Answer: -7211665*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 77?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284791 is divided by 1705.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/13)\/o**(-4\/7))\/(o**4\/(o*o\/o**(12\/7)*o)))**(-23) assuming o is positive.\nAnswer: o**(4324\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 64*d + 440. Let h be r(-10). Let l(q) = -q**3 + 7*q**2 + 8*q + 4. Let v be l(8). Solve 2*z - 5*y + v = 5*z, z + 4*y - 6 = h for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/11)*k*k**(5\/2))**(16\/3))**22 assuming k is positive.\nAnswer: k**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10 + 18*x + 6 - 19*x. Let y(i) = -i + 4. Suppose 2*l - 24 = -4*v + 8, -5*l + v + 36 = 0. Let g be y(l). Give c(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 + 22986*v**2\/7 + 1153050*v\/7 + 2061250.\nAnswer: -2*(v - 11543)*(v + 25)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33043004 (base 5) to base 16\nAnswer: -455e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -404014312334?\nAnswer: -404014312324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -379461 and -2.\nAnswer: -379463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/10 - (-96)\/10. Let j = c - 5. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 - -10 - 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2246*o**2 + 13*o - 13*o + 2311*o**2.\nAnswer: 65*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169512049 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -5 - (-17 - -1). Suppose -f + b = 4*f. Solve f = k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/6 + 58*q**3\/15 + 24*q**2\/5 + 2*q + 5. Solve w(z) = 0 for z.\nAnswer: -2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1253*f + 960*f - 1085 - 2209*f in the form i*f + b and give b.\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)\/(-1*(-2)\/(-18)). Let y = a - -14. Solve k - 4*k + 12 = 3*i, 0 = y*k + 4*i - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 + 4. Which is the nearest to 3? (a) -0.2 (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1880*n**3 - 840*n**3 - 855*n**3 + 2.\nAnswer: 185*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1371487439 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -19740)\/(0 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/56 and (855\/(-42))\/(-5) + (2 - 1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 71*l + 1498. Let z be d(-17). Solve -z*f + 64 - 76 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*b**2 + 318*b**2 + 140*b**2.\nAnswer: 366*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4 + 2208*j**3 - 611612*j**2 + 1216608*j - 607202 = 0.\nAnswer: 1, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57712 + -36354. List the prime factors of z.\nAnswer: 2, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*j + 174. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**2*n**4*y**3 + 9*b**2*n**2*y**2 - b**2*n*y**3 - 7*b**2 + 25*n**4*y**3 wrt n.\nAnswer: -168*b**2*n*y**3 + 600*n*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5 + -12 + (-4080)\/(-75) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1295133371?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2934 = -40*v - 3894 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55639590.4 take away 0?\nAnswer: 55639590.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101605 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/6 - 182*t**3\/3 - 8281*t**2 - 38*t. Determine n so that y(n) = 0.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 - 224. Is h equal to -66\/347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 155221? (a) -0.3 (b) 1\/4 (c) 0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 - 3443 + 528 = -17*s - 1245 for s.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*k**2 - 17*k**3 + 36*k**2.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -0.29063?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1297, -3242, -5187, -7132, -9077?\n\"Answer: -1945*a + 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 6 (c) 13\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + n**2 + 6*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.2 + 29. What is the third smallest value in 1\/8, -4, r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -1 - 39)\/(21 - (-84723)\/(-4030)). What is the greatest common factor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 34522\/109 and 317 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**2 - 2 + 422*i + 2*i**2 + 1 - 422*i + 9*i**2.\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - r - 4. Let o be s(2). Find the second derivative of 692 - 26*l**o - 692 - 2*l wrt l.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 0 - 11)\/(-2). Suppose s*y = 2*y + 10. Suppose 0 = 5*m + 2*k - 92, -5*m + y*k + 53 = -35. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 856304?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f**2 + 43*f**3 - 982 - 60*f**3 + 24*f**2 + 982.\nAnswer: -17*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1479 in -5, -11, 0, -1\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 6 in decreasing order.\nAnswer: 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1064, -1326, -1578, -1820?\n\"Answer: 5*x**2 - 277*x - 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87201.35um in centimeters?\nAnswer: 8.720135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10*k - 3. Let s be -4 - (-136 - 4 - 1). Let f = 135 - s. Give r(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-240)*4 + (-6)\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 12*g**2 - 45*g + 3. Let b be t(15). Let n(v) be the first derivative of 5\/3*v**3 + 0*v - v**2 - v**4 + 1\/5*v**5 + b. Factor n(d).\nAnswer: d*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*j - 3*b**2 - 2*b*j**2 - 125*b*j - 1249*j**2 + 3 wrt b?\nAnswer: -2*b*j - 6*b - 2*j**2 - 125*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f**2 - 5*f + 7. Suppose -2520*l = -2524*l + 8. What is k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 + 154 = 45*m + 3 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 7) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 7*b = -3*z - 8, 0 = -3*b - 4*z - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32299997797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28605, 18148, 7691, -2766, -13223?\n\"Answer: -10457*h + 39062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m - m**2 + 3 - m + 0. Suppose -150 = 18*n - 20*n + o, -75 = -n - 2*o. Calculate the remainder when n is divided by r(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) -5\/3 (c) -12 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = a + 3*z, -a + 9 = 5*z + 34. Put -0.2, a, -7\/5 in increasing order.\nAnswer: -7\/5, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 - 3*b - 3. Let f(w) = w. Let u(t) = f(t) + i(t). Let m(l) = -3*l**2 - l - 2. Give -3*m(c) + 2*u(c).\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71 by -1269844.\nAnswer: -71\/1269844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2435009 and -4.\nAnswer: 9740036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: af85 (base 16) to base 15\nAnswer: d4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12453*n + 13576*n - 67380 = 0 for n.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 103\/7 - (-2)\/7. Let x be (2\/3 - 0)*90. What is the greatest common factor of c and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2. Let a(o) = 24*o - 18. Let c = -2 - -20. Let h(q) = -q + 1. Let w(j) = c*h(j) + a(j). What is p(w(s))?\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(18)\/sqrt(9) + -5 + -1.\nAnswer: -10 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 180 - 540 = 66*j - 69*j for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - 32.15.\nAnswer: -64.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjjrjdccrrkkkrrd. Give prob of picking 2 k and 1 j.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/168*6\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**5\/80 - 3*l**4\/16 + 9*l**3\/8 - 27*l**2\/8 - 4*l. Suppose f(v) = 0. What is v?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -5*v + 3*v. Suppose 0 = b - 0*b. Suppose b*t - 3*t = -v. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - -4) - 2 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172 + 173 + 1509*k**3 - 1564*k**3 to the form j*k + r*k**3 + m + o*k**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1372) + sqrt(1372)*-2 - sqrt(1372))\/sqrt(4))**2 - 1*2*((-5 + sqrt(343) - sqrt(343)) + sqrt(343)))*5.\nAnswer: -70*sqrt(7) + 247010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zddttddzdtztmttt. Give prob of picking 1 m, 1 t, and 2 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e5030 + -1e?\nAnswer: -e504e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*j - 23, 0 = 4*d - 3*j - 30 + 62. Sort d, 5, -9 in descending order.\nAnswer: 5, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6900 divided by 46.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 37*c**2 + 75*c - 119. List the prime factors of h(-41).\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 977529576*a**2 + 977529576*a**2.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9041*o - 256639 - 37326 = -642*o for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2.4 (c) -2\/7 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.25 (b) -2\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 = 8*i. Suppose 0 = -3*s + 2*s + 3. Is i*((-10)\/s)\/5 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 17.8. Let u = s - -0.8. Which is smaller: u or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 46. Give x(-16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 4*t. Let a(b) = b**3 + 15*b**2 + b + 12. Let m be a(-15). Give u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4218 and 114114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3265289?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-22)\/1155*14)\/(6\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*d + 4*m, 0 = 3*d - 2*m + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-16))**(-2\/105)\/(s\/s**8)**(-1\/6) assuming s is positive.\nAnswer: s**(-313\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 1)*(-2 - 1 + 0) + 12 - 5 + 0)*(-2*g**3 + 3*g**3 + 3 + 14).\nAnswer: 10*g**3 + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 309498615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 3, r: 1}. Give prob of picking 1 b and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2 + 1\/2*d**4 - 2\/3*d**3 - 2*d**2 - 5*d. Let m(g) = 2*g**3 - 2*g**2 - 5*g - 6. What is -4*m(n) + 5*r(n)?\nAnswer: 2*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(25\/(-10)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(2 + 9\/(-6)). Suppose -3*m + 45 = -q*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-424)\/(-636) + 2\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 7*t**4\/4 + 2*t - 12. Differentiate d(m) with respect to m.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*f = -34, -3*d - 8*f + 6*f = -61. What is the nearest to 1 in d, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o = -95*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 233939 > 234185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.016 - 94.016. Let r = 136 + g. Let h = 43 - r. Sort -2, -2\/9, h in increasing order.\nAnswer: -2, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 3}. Give prob of sequence smm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2789 times 0.3\nAnswer: 836.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -159 + 144 + (1 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 75. Let d = 65 - x. Find the common denominator of 73\/16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 45, 0, -0.5871, -0.1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**5\/60 + 2*c**4\/3 + 6*c**3 - c**2 - 47. What are the prime factors of z(11)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*q - 277*m + 276*m, 40 = 4*q + 2*m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 310\/6 + 18\/(-27). Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24309 and 2997?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 - 3335790*s + 26686640 = 0.\nAnswer: -667166, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12503*f + 4385*f + 5844*f to the form t*f + l and give t.\nAnswer: 22732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 62, -4, 3.\nAnswer: -5, -4, -2, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70420.\nAnswer: 2, 5, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5360*g - 24545 = -5365*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/3 + 10*s**2 + 2*s - 50. Let h be l(20). Solve -1\/2*n**3 + 0*n - 1\/2*n**h + 0 + 25\/8*n**4 + 25\/8*n**5 = 0 for n.\nAnswer: -1, -2\/5, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 2)*((-6*g + 3*g + 2*g)*(-g**4 + g**4 - g**4) - g**5 + 0*g**5 - g**5 + g**5 + 4*g**4 + g**5 + 0*g**5).\nAnswer: 9*g**5 + 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = d + 23, -3*d - 5*b = -0*d + 29. Sort d, 0.2, -0.5, 3.\nAnswer: d, -0.5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 1 + 1 + 20*w - 3*w + 2*w**3 - 2*w + 3*w**2 to the form n*w**3 + j + r*w**2 + t*w and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10047\/4 + 10045\/4. Sort 0.41, -10\/13, g, 2\/11.\nAnswer: -10\/13, g, 2\/11, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-558 - -556) + (6 - -1) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 118 = 23. Let h = 23 - -10. Suppose -y = -3*z - 2*w, -6*z = -z + 4*w - h. Calculate the smallest common multiple of z and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 u when three letters picked without replacement from iunuai.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1279204 and -39\/43.\nAnswer: 55005772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1.4, 0.06, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -43, -2\/13, -1.2 in decreasing order.\nAnswer: 1, -2\/13, -1.2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -10. Let s(g) = 6 + g - y*g - 2 - 7. What is the units digit of s(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 15*w - 7. Let g be r(-14). Let y be (-41 - -39) + 26\/g. Factor y*u + 8\/7 + 4\/7*u**2.\nAnswer: 4*(u + 1)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1053)*-1 - -1*sqrt(1053)*-4 - (1 + sqrt(1053) + sqrt(1053) + 2)*-4)**2.\nAnswer: 1296*sqrt(13) + 38052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -7 + -9 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**2. Let c(a) be the third derivative of a**6\/720 + 7*a**4\/6 - 34*a**2. Let w(v) be the second derivative of c(v). Calculate s(w(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)*p**(3\/5))\/(((p*p*p*p**7*p)\/p)\/(p*p\/(p\/(p\/(p*(p**(3\/2)*p*p)\/p))*p))))\/((p**3*p**(-1\/6))\/((p**2\/p)\/(p\/(p*p**7)))) assuming p is positive.\nAnswer: p**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 25 - 215. Calculate the greatest common divisor of g and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587000, 586998, 586996?\nAnswer: 586994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 2. Let o be q(6). Let j = o + 13. Find the third derivative of -7*x**6 - j*x**6 + 5*x**6 + 4*x**2 wrt x.\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.09 (b) 2.7 (c) 0.3 (d) -48\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512*b - 74560 = 1537*b + 839*b for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 319915 and -1.14537611.\nAnswer: 319913.85462389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -35*x - 102. Let j be i(-3). Solve 3*d - j + 6 = 4*w, -4*d - 4 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/((-520)\/12))\/(2\/(24\/9)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5818*p. Let o(k) = 8*k**2. Calculate o(h(v)).\nAnswer: 270792992*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -31051025 and -31051042 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 131873 (base 10) to base 2\nAnswer: 100000001100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**24)**(10\/9)\/(a*a**18*a)**34 assuming a is positive.\nAnswer: a**(-1960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45847 at most 45849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1911?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 201066316 (base 7) to base 12\nAnswer: 3aa5b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6093944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**3 - 164*y**2 + 319*y + 60. Determine w(80).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m. Let l(z) = 5*z - 4. Let t(i) = -5*i + 5. Let a(f) = -5*l(f) - 4*t(f). What is c(a(q))?\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 3*u - 114, -s - 4*u + 17 + 60 = -80 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004612 rounded to 5 dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*q**6 - q**5 + 9979*q**4 + 13234544*q**2 wrt q.\nAnswer: 1560*q**3 - 60*q**2 + 239496*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 179580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/c**5)\/c)**6)**(2\/47)\/((c\/(c\/c**6))\/(c*c\/(c**(-12)\/c*c)))**(1\/66) assuming c is positive.\nAnswer: c**(-1396\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*z - z + 8616 = 184*z + 34586 for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*p - 501, 6*k + 2*p - 194 = 4*k. What is the greatest common divisor of 352 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 940706, 1881413, 2822124, 3762839?\n\"Answer: 2*q**2 + 940701*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 135189051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*f + 115 + 0 = 0, 2*f = -2. Let o = -39 + b. Solve o*a = -2*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5259 divided by 353\nAnswer: -5259\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -176, -195, -218, -245?\n\"Answer: -2*i**2 - 13*i - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/23 - 1392*c\/23 - 8424\/23 = 0. Calculate c.\nAnswer: -6, 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3915 = -1037*j - 19050 - 19086 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -46\/53, 10\/21, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44260 is divided by 3306.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12 - (-8 - (-47 + 36)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*t**5 - 30*t**4 + 2370*t**3 - 6580*t**2 + 6345*t - 2070 = 0. What is t?\nAnswer: -69\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2839126 centimeters to millimeters.\nAnswer: 2.839126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4 - 7 = 0, -5*h + 17 = -10*h + l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/56465354 and -79\/5133214.\nAnswer: 56465354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.103 in 0, 23, -8\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1365985*g**2 - 424322*g**2 - 4783753*g**2.\nAnswer: -3842090*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**2*q**4 + 1097*a**2 - 1482*a*q**4 - 2*q wrt q?\nAnswer: 8*a**2*q**3 - 5928*a*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 66 + 56. Let r be ((-5)\/(-5))\/(1\/k). Let m = 125 + r. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3 = -2*t - 5*u, -t = 4*u - 16. Let j(h) = -2*h + 41. Let s(l) = 1. Let b(x) = t*s(x) - j(x). Calculate the least common multiple of 13 and b(22).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150696 divided by 47167?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + -2*sqrt(2299) - (sqrt(19) + 0 + 4 + sqrt(19))**2.\nAnswer: -27*sqrt(19) - 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966 and 26754.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 2. Let j(r) = r**3 - 2*r**2 - 11*r - 14. Let s(o) = j(o) - 6*l(o). Let w be (-6 - -9)\/(6\/14). Suppose -t - 3 + w = 0. Give s(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -24483247.1.\nAnswer: -4896649.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 11. Let d = -62 - -45. Let r be v(d). Let h be r\/8*(-112)\/105. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005608 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwttwtwwwttwwtwwtww. What is prob of sequence wwtw?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwffwfhzffwqwfw. Give prob of sequence whzq.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/21)\/((16\/8)\/14))\/((-19)\/570).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 156104 by -79.\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*-1*sqrt(2).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22006939 to the nearest integer?\nAnswer: 4691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 532606932 to the nearest integer?\nAnswer: 23078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4)*s*s**(-3\/5))\/(s**1)**(-10) assuming s is positive.\nAnswer: s**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 - 34*m + 30. Let z(b) = -59*b - 12*b + 13*b**2 - 66*b + 34*b + 90. Let j(c) = 7*w(c) - 2*z(c). Find y such that j(y) = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddtdddddddd. Give prob of picking 4 d.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 103101671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35845757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74710*u**2*z**3 + 19*u**2*z**2 - u**2*z - 476*u**2 - u*z**2 + 4*u*z - 2*u - 5*z wrt z?\nAnswer: -448260*u**2*z + 38*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a + 4*z + 258 = 7*a, 24*a - 5*z + 74 = -55 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 + 2*c - 5. Let y be v(4). Suppose -3*f + 2*f + 4 = 0. Let k(i) = 3 - 1 + f - i. Calculate k(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*u**3 - 2*n**3*u - 2*n**3 - 1099*n**2 + 3807*u**3 wrt u?\nAnswer: -6*n**3*u + 22842*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/58*10\/(-3). Let h(o) = -2*o**3 - 5*o - 1. Let t(v) = -2*v**3 - 6*v - 1. Calculate b*t(c) + 6*h(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22*-2.22\nAnswer: -48.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-15))\/(((-19040)\/(-102))\/(-56))*(-5)\/(-82).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)\/j)\/j*j**6)\/(j**2\/(j**(1\/9)*j))*(j*j\/(j\/j**(1\/4)))\/j*j*j\/j**(1\/2)*j**7\/j*j**(-6) assuming j is positive.\nAnswer: j**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*v - 1, 2*y - 11*v + 15*v = 8. Solve 2 + 10 = 4*n - y*q, 18 = 5*n - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/278)\/(9\/(-12)). Is -1 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 7*i + 3. Let x be j(-7). Suppose 0*b + x*b = 3. Let c = b + 4. Solve -c*r - 16 = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.53 + 17.65. What is the nearest to -1 in -4\/7, 2, z?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {r: 1, q: 1, d: 2, a: 4, h: 2, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2 - 5556*j - 11096 = 0. What is j?\nAnswer: -1387, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + p + 3375, -16*a + 3381 = -12*a - 3*p. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/14 - 44976\/(-14). Calculate the highest common factor of c and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 59*q - 26. List the prime factors of n(-26).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from iggg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**4\/12 - c**3 + 3*c**2 + c. Let m be (2 - 4) + 21 + -2. Let g = m - 11. Determine x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(56)\/sqrt(2))*-5)**2.\nAnswer: -100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -103\/12 (b) -1\/2 (c) 0.4 (d) 10 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mii when three letters picked without replacement from {i: 3, m: 1, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r + 135113 - 136063 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) 2\/19 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00131656446 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 1. Let k be r(1). Let v = -99.49 + 99. Let c = 24.49 + v. What is the second smallest value in k, 2\/9, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 2*h + 1\/3*h**3 + 1\/2*h**2 + 1. What is the units digit of c(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2 (b) 0.1 (c) -0.7 (d) 0.3 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1002 divided by 5\nAnswer: -1002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + 8 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*n - 23*n - 48. Suppose 0 = n*g - 268 - 56. Calculate the remainder when g is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-50)*(-7398)\/6165)\/(2\/(2*5)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/1920*-10)\/((-3)\/16).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244 - 1711\/7. Let p(f) = f**2 + 10*f - 6. Let c be p(-8). Let y be (1 - c\/(-5)) + 3. What is the biggest value in 3, y, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Suppose 0 = -2*b + 5*b - x - 9, 3*b - 5*x - 9 = 0. Let d(h) = -1. Determine b*s(u) - 2*d(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3*(-2)\/12). Let v = y + 10. Calculate the lowest common multiple of 22 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-6)\/4) + (-2 - -6). Suppose 563 = i*n - 4*r - 243, 0 = 2*r + 6. Is 63 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -7*f**5\/60 + 11*f**4\/24 - f**3\/3 + 11. Let w(j) be the third derivative of t(j). Find the first derivative of w(l) wrt l.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**3\/3 + 3*o**2\/2 - 66*o. Let m be x(-2). Suppose 0 = -2*w - 3*w + 10. Sort 5, m, w in ascending order.\nAnswer: m, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1472 and 4?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 32. Let f be a(18). Suppose -7*w + 4*w = 3*s - 279, w = f*s - 387. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o - 1. Suppose 5*v = -z + 5*z + 15, -4*z = 3*v + 23. Let h be f(v). Let c = 14 - h. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 13. Calculate z(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = l + 4*l + 33, 4*l = -3*s - 26. Is -397*(-1)\/(-2)*s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:40 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 - y - 8*y**4 - 10 + y wrt y.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -689440, 3 in descending order.\nAnswer: 62, 3, -689440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18404*d**6 + 20538*d**2.\nAnswer: 2208480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(0 - 5\/10). What is the highest common divisor of n and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12800.3 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -31103734676+-0.4\nAnswer: -31103734676.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 163, 4, -3, -10, -39 in descending order.\nAnswer: 163, 4, -3, -4, -10, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98119642 a multiple of 2173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u - 203. Let m(q) = 163*q**2 + 461*q**2 - 629*q**2. Determine s(m(g)).\nAnswer: -35*g**2 - 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:46 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21840, -77712, -167608, -291522, -449448, -641380, -867312, -1127238?\n\"Answer: r**3 - 17018*r**2 - 4825*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8585 - -8590. Solve c*b + 21 = -x, b + 9 = 11*x - 10*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - w + 3*w + 8 = 0, -5*z + 5*w = -15. Let p be (-5)\/2*(z + 0). Suppose p*t - 38 = 3*t. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -321 or -322?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -449 - -244. Let a = n - -204.9395. What is a rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1144 and 45656?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/407 + 879\/407. Let l = 201\/77 - m. Suppose 4*r - 8 = 0, -5*a + r + r - 19 = 0. What is the smallest value in a, 0.1, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (28 + -35))*(-9)\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (472*t + 495*t - 983*t)*((-3 + 3 - 1)*(0 + 2 - 1) - 1 + 2 - 3).\nAnswer: 48*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((280\/20)\/(-56))\/((-21)\/(-49)*5\/(-80)).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20621 and -129355.\nAnswer: -149976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (5 - 8)) + 2. Is 3 a factor of (53 + 7)*((-32)\/(-10))\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84747 equal to 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 8*j + 5614. Determine w(-71).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-9)\/(-72)). Sort -2, w, 5 in decreasing order.\nAnswer: 5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide (1 - 4)\/((-29)\/173333)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 4*d**2 + d + 1. Let b be l(2). Let g(y) = y + 7. Let t be g(b). What is the tens digit of ((-84)\/(-15))\/(t\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -q + 2*a, -41*q + 46*q + 4 = -3*a for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from gggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -793.311 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2199*t - t**2 - 6747184 + 6747184.\nAnswer: -t**2 - 2199*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = 3*t + 25*a - 21*a, -2*a = 0. What is the lowest common multiple of t and 187?\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c. Let y be 0\/2*-1 + -3. Let m(g) = g - 3*g - 2 + 2. Let z(v) = v + 1. Let a be z(4). Determine a*m(t) + y*u(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(10)\/sqrt(2))**2 + 0 - sqrt(45)\/((sqrt(81)*2)\/sqrt(9)).\nAnswer: -5 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/59 and -52\/12567.\nAnswer: 12567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1132? (a) -0.2 (b) -1206 (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/10*(-45)\/(-18). Factor 1\/3*r**3 + 1\/3*r - 2\/3*r**h + 0.\nAnswer: r*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 - -79. Put 6, 2\/5, l, -4 in descending order.\nAnswer: 6, l, 2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -3*v**2\/2 - 1. Let s be l(-5). Calculate the highest common factor of s and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1100)*3 + 5)*-2*4)**2.\nAnswer: 15360*sqrt(11) + 634624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-3*r + 3*r + 4*r) + (-5*r + 7 - 7)*(-1 - 2 + 1).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*u + u - 10, -3*i - 2*u = -7. Suppose -i*g + n + 11 = 0, 3*g + n = -4*n + 35. Differentiate -11 - g*t - 8 + 2 - 4*t with respect to t.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j + 3. Let n(l) = -14*l + 8. Let q(d) = 3*n(d) - 8*y(d). Let g(i) be the second derivative of 25*i**4\/12 + 12*i. Calculate g(q(u)).\nAnswer: 100*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7063 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -33?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72702 + -4?\nAnswer: 726ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -97, -168, -279, -436?\nAnswer: -645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -459732 rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -j - 6, 0 = -4*j - 4*z - 36 - 4. Let h be (0 - -4)*2\/j. Let f be (2\/(-4))\/(h\/6). Calculate the highest common factor of f and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -150*j**2 - 2028*j + 36. Let t(y) = -30*y**2 - 390*y + 7. Let q(o) = -10*c(o) + 52*t(o). Let p(z) = 9*z**2. What is q(p(g))?\nAnswer: -4860*g**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 524588*r + 15209688.\nAnswer: 4*(r + 29)*(r + 131118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361 is divided by 817?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12889, -24935, -36981?\n\"Answer: -12046*p - 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -630*y + 1261*y - 634*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-11*d**4 + 17*d**4 - 9*d**4 + (-2*d + 2*d + d**4)*(4 + 0 - 3) + 5*d**4 - 3*d**4 + 3*d**4).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1354 + 406. Is z a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119134 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(51 + 4*d + 48 - 66) to w + b*d and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (34\/340)\/(1\/10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-42)\/(-18)) - -131. Let q = 9 + 19. Suppose -5*z = q - o. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + 580\/30. Solve -4*g = -3 + y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 6) in base 12?\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = 8. Solve 3*j + 6 = -2*c, 2*c + 2*j - 2 + g = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from bbhbbbbhllbhhlllblb.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 30 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0*l + 18. Is 56\/9 + 4\/l 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 16, 4, -16, -44, -80, -124, -176?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 155. Which is the third biggest value? (a) -0.7 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9320 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*i*n - 820*g*n - 3760*i**4 wrt i?\nAnswer: g*n - 15040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-129)\/(-18) + 1\/(-2). Let g = 7 - a. Sort -1\/2, g, 0.1 in decreasing order.\nAnswer: g, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260 - y + 102 + 31.\nAnswer: -y + 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -822450.4 to the nearest 100.\nAnswer: -822500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18641 is divided by 18578?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 - -3.8. Let d = u - 0.9. Put d, -0.4, 1 in descending order.\nAnswer: 1, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 177*i + 7636. Determine b(-44).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2 + (156\/1)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248244378.\nAnswer: 2, 3, 41374063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -74*q - 5. What is the tens digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38726895*j**4 + 6991*j - 5?\nAnswer: 464722740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9) - (-87)\/(-27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**6\/120 - d**4\/4 + 2*d**3 - 27*d**2. Let m(r) be the first derivative of k(r). What is the first derivative of m(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let a(x) = -x. Calculate 4*a(z) - k(z).\nAnswer: -2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -328.9*70604.\nAnswer: -23221655.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzyzyyzwyy. What is prob of picking 2 w and 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 5*a - 370 = -385, -2*k + 26 = 3*a for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5419, 10840, 16261, 21682?\nAnswer: 27103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9))**28\/((n**(-15)*n)\/(n\/(n*n*n**(8\/7)\/n))) assuming n is positive.\nAnswer: n**(1202\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45089 + -10195. Let d = -1990355\/36 - o. Let g = 55\/4 + -33\/2. What is the common denominator of d and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2928507?\nAnswer: 3, 29, 41, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1 + 6*s - 2 + 1. Let v be u(4). What is the greatest common divisor of 55 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) 8 (c) -4\/47 (d) 2\/9 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*c + 816 - 3096 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*p = 7, 2*b + 10 = -5*p + 1. Let w = 6 + b. Suppose -n + 3*z - 3544 = -6*n, -w*z = 4*n - 2832. Round n to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 383.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26253*c + 4 + 2 - 6 - 26210*c.\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(5) + 6*(sqrt(5) - sqrt(45)))**2 + (sqrt(120)\/sqrt(2)*6 + sqrt(60))\/sqrt(12)*-4.\nAnswer: -28*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, n: 2, o: 9, w: 3, e: 2, d: 1}. What is prob of picking 2 n and 2 e?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7290808886 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608, -544, -480, -416, -352?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 3*c - 33. Let z be q(20). Suppose 300 = 309*f - z*f. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -743 + 270*j**3 - 271*j**3 + 256 to a*j + q*j**2 + l + p*j**3 and give l.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w + 1022 = -4*s, 4*s + 12 = 0. List the prime factors of w.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*b, -3 = 4*p - 0*p + 5*b. Suppose 3*u + 0*u - 5*s = 44, -2*u - p*s + 42 = 0. Is u a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*c - 1486 + 6980 = 0, -3*w + 3*c = -3291. What are the prime factors of w?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30083, 60081, 89973, 119741, 149367, 178833, 208121?\nAnswer: 237213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 8:09 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88107 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: Let m(c) = c**3 + 17*c**2 - 19*c - 35. Let k be m(-18). Put k, 4, 1, -4 in decreasing order.\nAnswer: 4, 1, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 56 = -9*m. Let p(d) = -d**2 - 6*d + 16. Let g be p(m). Suppose -j + 34 = -5*v, -j + 2*v = 2 - 21. Solve 4*t = -n + j, 5*t - 3*t - 4 = g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1407*a**3*p**3*w + 45*a**3*p**2*w + 2*a**3*p*w - p**3*w - 2*p**2 wrt p.\nAnswer: 8442*a**3*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -143*u - 145*u + 307*u - 81 - 964 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3600)\/(-660) + (-6)\/(-11) - 2. Solve 0 = i - 1, -14 + 11 = k*m + i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 17*t**2 - 12*t - 9. Let o(b) = -9*b + 5*b + 4*b**2 - b + 2*b + 0*b**2 - 2. Give -9*o(i) + 2*q(i).\nAnswer: -2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 171037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 2*p**3 + 4*p + (p**2 + p**2 - p**2)*(-1 - 1 + 4 + (0 + 0 + 1)*(-1 + 0 + 2))*(0*p + p + 0*p) as s*p + m*p**3 + t + y*p**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3588 (base 10) in base 8?\nAnswer: -7004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678147631*0.2.\nAnswer: -135629526.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-10) - (-12545)\/2730?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 11. Let g be -13*(2 - m - 5). Suppose 2*f + g - 28 = 0. Calculate the greatest common factor of 11 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and -10.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 = 4. Which is the nearest to 2\/3? (a) -1 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79616027\/2970 + 134033\/5. Calculate the common denominator of w and -43\/594.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - (22 - (5 + 12))) + -33.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 19. Calculate the remainder when 91 is divided by f(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*o - 8, -4*u + 61496 - 61498 = 3*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1656 - -657067?\nAnswer: 655211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 5 + 0 - 2) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -17*b + 71. What is the units digit of k(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -167?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 11 = -4*t, 0 = 4*c - 2*t - 0*t - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -48, -0.064, 1, 2 in decreasing order.\nAnswer: 2, 1, -0.064, -0.1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62628 - 0.03.\nAnswer: 62627.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85180086 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325020215 to the power of 1\/3, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 961 - 1414. Let r = -449 - b. Let l = -0.07 + -2.93. What is the closest to -1 in l, r, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24065624 divided by 4?\nAnswer: 6016406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4 - 4 - x. Let n(t) be the second derivative of 18*t + 3\/2*t**2 - 3 + 1\/6*t**3. Give n(b(o)).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -132 - 1?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -22*p**3 + 4*p**2 - 2*p - 4. Let s be t(-3). What is the units digit of s\/24 - 2\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 4 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 772 divided by 193\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 381 and 1204976.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) -0.5 (c) 0.4 (d) -0.1 (e) 1 (f) 0.49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132*j**2*n**2 + j**2*t - 12*j**2 + 2*j*n*t wrt n.\nAnswer: -264*j**2*n + 2*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(18\/86) + 11)*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - g**2 + 5*g. Give s(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and 0.21?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 + 66*a**2 - 55*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*f - 20, 0 = -3*r - 5*f + 3*f - 2. Let c = 7 - r. Suppose -4*n - 23 = -4*v + 53, -c*v = 5*n - 75. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -924, -0.5, 4, -4, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.17782?\nAnswer: -0.57782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5236\/13801?\nAnswer: 5236\/13801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 490. Let b = -38 - -21. Let t = -3 - b. Calculate the greatest common factor of t and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**2 - 3*f - 1. Suppose 0 = -25*i + 33 - 110 - 73. Determine k(i).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - 23*k - 14*k to the form x*k + v and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8443, 5, 4, -5, 2, -15.\nAnswer: -15, -5, 2, 4, 5, 8443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 9:05 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114390 and 1885590?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h = 0. Suppose h = -4*z + 2*z + 4. Let m(p) be the first derivative of p**3\/3 - 3*p**2\/2 - 2*p - 1. Determine m(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4559661 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2232)\/(-2))\/18 - -1*10. Solve -z = -3*f + 5*o - 89, -3*f + 3*o - 15 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:14 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.2 (c) -2\/9 (d) 2\/5 (e) -1216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1659 and 13.36.\nAnswer: -22164.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -640155 and -640157 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1 + 4)\/(12\/(-44)))\/(-1) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*a - 334*a - 28 = 4*d, 234*d - 8 = 3*a + 239*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 23 = -n + 8, -4*y = 3*n + 2. Let s(l) = l. Let z be s(n). Suppose -b + 14 = 4*k - z*b, b + 3 = k. Are k and 2\/51 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -160*j + 165*j + 10. Let z(n) = n**3 - n**2 - n + 5. Let r be z(j). Let c(d) = 2 - 5 - d + 0*d. What is c(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*i = -6*i, 0 = 3*d - 5*i - 8. Put 21, d, 1 in ascending order.\nAnswer: d, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-3)\/(3 + 0). Suppose 360*o = 88*o + 254 + 562. Solve -4*x + v = -o*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let c = 45730658.8 - 45730150.800442. Let v = 508 - c. What is v rounded to 5 decimal places?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -197082?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4314 + 4329. Solve 18*d + 12 = w*d, -6 = -m + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242727113?\nAnswer: 61, 3979133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1075498 + 1075498 - 22*j**2.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 3360732.6472\nAnswer: -3360732.4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d + 71. Let b be m(13). Suppose 0 = 4*v + 5*j - 29, 3*j - 25 = -5*v + 8*j. Let n = v - b. Calculate the remainder when 126 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 24051912*u**2 - 48103812*u - 24051904.\nAnswer: -4*(u + 1)**2*(u + 6012976)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 - 15. What is f(-5)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08793 - -0.01008. Let v = 0.1049 - j. Round v to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/63 and 141\/289144520.\nAnswer: 2602300680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {q: 1, t: 1, i: 1, p: 1, n: 2, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 11 + 14. Let i = y + 39. What is the highest common divisor of 21 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 53. Let s be b(-19). Suppose 2*r - 3*l = -0 + 10, -r + l = -s. Solve 2*t = -4*k - 22, -23 - r = 5*t + 4*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 444*f**3*l - 210*f - 3*l wrt f.\nAnswer: 2664*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*q**4 + 130*q**2.\nAnswer: 744*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 97*y**2 - 10*y - 138. Let c(a) = -3*a**3 - 146*a**2 + 16*a + 206. Calculate -5*c(p) - 8*x(p).\nAnswer: -p**3 - 46*p**2 + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 3017*o**4 - 3016*o**3.\nAnswer: -o**3*(o + 1)*(o + 3016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = -1. Let b = 3 + o. Suppose 0 = -9*x + b*x + 100. Calculate the highest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -323.9998 - 0.0002. Let k = 322.932613343 + 1.067341257. Let o = s + k. What is o rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 7:08 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) + (-208)\/(-40). Let f = -16 - -15. Put -2, b, f, 7 in decreasing order.\nAnswer: 7, b, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -351440*a**4 - 318728?\nAnswer: -1405760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Let x(d) = d - 1. Let l be x(3). Let n(o) = -4 + 2 + w*o - 2 + o**l. Calculate n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - f4e?\nAnswer: -f4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-128)\/(-90) + (36\/(-81))\/2. Factor -3\/5 + j*c - 3\/5*c**2.\nAnswer: -3*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1672\/132*6\/(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480 = 857*t + 9661 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**5 - 19*h**5 + h + 9492 - 9494 wrt h.\nAnswer: -460*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75888800 to the nearest one hundred thousand.\nAnswer: 75900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1321*v**3*y**3 - 2*v**3 - 16*v**2*y**2 + 3*v**2 wrt y?\nAnswer: -7926*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34132 - 33014?\nAnswer: -122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7472, 14939, 22406, 29873, 37340, 44807?\n\"Answer: 7467*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 27. Let t = -3 + 13. Solve -t = -q + s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2075, -8369, -18849, -33521, -52391, -75465, -102749, -134249?\nAnswer: -169971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10005, 20010, 30015, 40020, 50025?\nAnswer: 60030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 214.572721 to 1 decimal place.\nAnswer: 214.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 4. Calculate the remainder when 2 is divided by c(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 169 = -55. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 8. Let x be u(4). Suppose o + 2*j - 22 = -2*j, x = -2*o - 2*j + 14. Put o, -2, 5 in increasing order.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2375393\/6 + 399796. Let z = -3877 + l. Which is bigger: z or 20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 9 = -4*a - l, 0 = a - 4*l - 16. Suppose a*v = -0*v. Which is bigger: -2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -12*w + 29 + 46. Which is the biggest value? (a) w (b) 4 (c) 0.5 (d) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -229594 + -9?\nAnswer: -2295a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(-s - 2 + 2) + (0 - 2 + 0)*(-s - s + 4*s) + 6*s + 1 - 1)*(-3 - 7 + 7)*(-5*s + 2*s + 0*s).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 + 101. What is the smallest value in -5.6, g, 2\/11?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/((-16371)\/2737 + 6). Let p(j) = -2*j**3 - 3*j**2 + 4*j - 1. Let d be p(-3). Calculate the highest common divisor of y and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 413 and 596254.\nAnswer: 4173778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4880959?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45966 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 9. Suppose 2*n - 3*n = -5. Let p(j) = -4*j**2 + 3*j**2 - j - n*j**2. Let l be p(-1). Let g(v) = -4*v + 13. Determine l*g(z) - 7*t(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5141336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 436 + -439. Let l = -7337\/3 + 2467. Let r = l + -20. What is the third smallest value in g, r, 2, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r + 4*r - 55*r**4 + 45*r**4 wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196413066 to the power of 1\/3, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 21544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 + 9*t**4 - 4*t - 20*t**4 + 5*t**4)*(2 + 1 - 1) in the form w + y*t + n*t**2 + k*t**4 + u*t**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 1 - 3*x)*(11*x - 11*x - 6*x**3).\nAnswer: 12*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2059864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337827975295.39 less than 0?\nAnswer: -337827975295.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 + 3 + 0 + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + n**2 - 8*n + 6. List the prime factors of h(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -8*c + 25. Suppose 26 = o + c. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 111779352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 6:46 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 868793.\nAnswer: 100779988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508619.\nAnswer: 508619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*a = 2*a + 995, 2*o - 398 = 2*a. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w)**8)**36\/((w**(1\/4))**(-1\/4)*(w\/(w*w\/w**(2\/5)))**50) assuming w is positive.\nAnswer: w**(5089\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 10664745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -926.\nAnswer: -925.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btddd. Give prob of picking 1 b and 3 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ece (base 16) in base 10?\nAnswer: -24270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -65*u**4\/8 - 23*u**3\/3 - 24*u**2. Is q(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 minus 118529379?\nAnswer: -118529378.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 25*r**2\/2 + 60*r - 3070. Determine q(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14630875 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*x**5 + 5280*x**4 + 132*x**3 - 123*x**2 + 6*x + 41791?\nAnswer: -240*x**2 + 126720*x + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 107*d**3 + 4*d**2 + 4. Let h(o) = 214*o**3 + 7*o**2 + 7. Determine -4*h(t) + 7*m(t).\nAnswer: -107*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.212 + 2.698. Let s = o + 0.09. Which is the biggest value? (a) -2\/9 (b) s (c) -0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u**2 + 685*u - 16. Let g(h) = -16*h**2 - 685*h + 14. What is -6*c(f) - 7*g(f)?\nAnswer: -2*f**2 + 685*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -34889.\nAnswer: -54\/34889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3*a + a)*(-2 + 5 - 2)*(8 - 7 + 8).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2.07. Let l = a - 0.27. What is the closest to -1 in -0.5, l, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*u = -36398 + 19452 - 30112 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + (sqrt(343) - (sqrt(343) + 0 - sqrt(343))) + -4)*4)**2 - (2*sqrt(343) + -1 + (sqrt(343) - (-3 + sqrt(343))) + -4)**2)*-1.\nAnswer: -4688 + 1288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 681974 - 681933.0041. Let v = h + -41. What is v rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 2*g**2 + 10 in the form d*g**2 + x + m*g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 5*t**4 + 3*t**4 + 0*t**4 - t**4 - t**4 + (-3*t - 3*t**4 + 3*t)*(-4 + 1 + 1) + 37*t - 37*t - 117*t**4.\nAnswer: -112*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 101110001101001101?\nAnswer: 101110001101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*((c*(c*c**(-2\/13))\/c)\/c)\/c*c)\/(c*(c**(-6)\/c)\/c))\/((c\/c**(-1\/10)*c)\/(c\/c**(-10))) assuming c is positive.\nAnswer: c**(2307\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/41)*i)\/i*i*i\/i**27*i)\/(i**(-9)\/i)**3 assuming i is positive.\nAnswer: i**(248\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31654124, -63308248, -94962372?\n\"Answer: -31654124*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 937 and 6834478.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 173 + -347. Which is greater: -173 or m?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.8 - 9.8. Let i = 1809\/13 - 139. Which is the smallest value? (a) i (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -75.85. Let u = 0.15 - b. Put u, -23, 2\/7 in decreasing order.\nAnswer: u, 2\/7, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110102021110 (base 3) in base 2?\nAnswer: 111011101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*x = 0, -4*x = -7*g + 2*g + 6. Let q(m) = 101*m**2 - 3*m + 2. Let a be q(g). What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*b**3 - 28*b**3 + 104*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -449585*l - 2697497. What is m(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**4\/12 - 5*w**3\/6 + 24*w**2 - 3*w - 23. Is 12 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p - 20. Let d(v) = 3*v - 22. Let m(q) = -2*d(q) + 3*k(q). What is m(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a - 6 + 10 - 2 + 3*a**2 + (-5 - 1 - 4)*(0*a**2 + a**2 + a**2) to the form p*a + c + m*a**2 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.161760912 to five dps.\nAnswer: 0.16176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Let t be 4\/(-10) + (-240)\/(-350). Which is the nearest to t? (a) k (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(704) - sqrt(704) - sqrt(704) - sqrt(11)) + -5 - (1 + sqrt(44) + 0)) + 5 + 5.\nAnswer: -3*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 19*q + 143. Let t be m(-5). Calculate the highest common factor of t and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 - 153 - (6 - 44)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 47*z - 32 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131 - -256?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 130379.\nAnswer: 4\/130379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7.8 - 731\nAnswer: -738.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 20\/(-18)*-6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688561.\nAnswer: 688561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2*n**3 + j**2*n - 4*j*n**3 - j*n**2 + 5*j*n + 2*n wrt n?\nAnswer: -18*j**2*n - 24*j*n - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/((-63)\/1939)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*t**3 - 25*t**3 + 27*t**3)*(3 - 1 - 3).\nAnswer: -68*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -91*f**2 + f**5 + 74*f**3 - 15*f**4 + 175*f - 73*f**2 - 7*f - 64 = 0. Calculate f.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -295.533 and -1.\nAnswer: 295.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 9\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4280722485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/56 and -79\/1352.\nAnswer: 9464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.068622\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.573584101564045 and 0.1.\nAnswer: 0.673584101564045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztxy when four letters picked without replacement from {z: 1, e: 1, x: 2, y: 1, t: 1, g: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - 0 - (-66 - -57)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**5*r*r*r\/r**1)\/r**(10\/17))\/((r\/(r*r*r\/(((r\/(r*((r\/(r*(r*r**(2\/21)*r*r)\/r))\/r)\/r))\/r*r)\/r)*r))\/r**(2\/11)*r**32) assuming r is positive.\nAnswer: r**(-96218\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 780\/(-100) + (-2)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, e: 1, l: 2, b: 3, u: 9, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 21665 = -9*m. Let x = -610 + m. Solve -x = -4*j + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74308, -148838, -223368?\nAnswer: -297898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-90)*125580\/(-2576).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -130*j - 3548. Determine y(-26).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 156*l - 241. Let u be r(2). Calculate the highest common divisor of u and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - 2 = y, -y - n + 4 = 0. Let x(q) = q**3 - 8*q**2 + 5*q + 14. Let o be x(y). Is 0 != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*p + 9*p - 34*p)*(-2*p**4 - 2 + 2) + (p**2 + 3 - 3)*(-3*p**3 + 6*p**3 + 0*p**3) + p**5 + p**4 - p**4.\nAnswer: 104*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Suppose -2*v + n = -j, -4 = j + 2*v - 16. Suppose 5*l = -4*y + 33, -4*l + 2*y + 30 = j*y. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2150, 8569, 19260, 34217, 53434?\n\"Answer: -g**3 + 2142*g**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/3)\/(-1))\/(47\/141).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**3 + a**3 + a**3 + (0*a - 2*a**2 + 0*a)*((-1 + 2 + 0)*(-2 - a + 2) + 12*a - 2*a + 18*a) in the form b*a + k*a**2 + y + s*a**3 and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by 248\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33268898 and 301076.\nAnswer: 66537796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/21*(63\/(-9))\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.082 and 17.9?\nAnswer: -1.4678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 194\/(-1455) + 604\/30. Solve 2 + 5 = 2*l - x, -4*x - d = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/674?\nAnswer: -5\/674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 2*r - 2. Give s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1099 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 10*q**3 - 5775*q**2 - 14535*q + 20300 = 0?\nAnswer: -7\/2, 1, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 19*p - 377. What is n(-36)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000438589 rounded to seven dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3\/4 + 165373*h**2\/2 - 66149*h\/4 = 0. What is h?\nAnswer: 0, 1\/5, 66149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(26)\/sqrt(2)*-6 - sqrt(130)\/(sqrt(960)\/sqrt(6)).\nAnswer: -25*sqrt(13)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z = -47*z - 6772. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:11 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(104)*2)\/((sqrt(80)*1 + sqrt(80))\/sqrt(10) - -2*sqrt(128)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/56)\/(25\/(-20))*6\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 4919 = 2761. Is 512 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 8*a + 4*a)*(-53*a**3 - 52*a**4 - 4 + 33*a**4 + 21*a**4).\nAnswer: 12*a**5 - 318*a**4 - 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 13*k - 8. Let d be b(12). Find the third derivative of 221*t**3 + 7*t**5 + 35*t - 438*t**3 + 218*t**3 - 3*t**2 - d*t**5 wrt t.\nAnswer: 180*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*q**2 - 1 + 7553*q - 9*q**2 - 7553*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/19 + 2876*r\/19 + 10080 = 0 for r.\nAnswer: -1368, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*y + 1 = 0, i - y - 1 = 1. Let n be (2*i)\/(72\/108). Solve -3*o + 4*j + 17 = -2*o, -2*o + 14 = -n*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 42\/5 of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/14 + (-10)\/(-35). Solve -6 - 2*q + p*q**2 + 6 = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2299 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4862016320 rounded to the nearest one million?\nAnswer: -4862000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, r: 6, k: 2, t: 1, s: 2, z: 1}. Give prob of picking 2 s.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0802 + -5.0802. Sort o, -0.1, -3 in increasing order.\nAnswer: o, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i**3 - 6*i**2 - i - 6. Let m(j) = 6*j**3 - 5*j**2 - j - 5. Determine -5*k(f) + 6*m(f).\nAnswer: f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -1\/3 (b) -4 (c) 2\/7 (d) -7.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**9\/7560 + c**7\/630 - c**5\/60 + 2*c**4\/3 - 8*c. Let v(h) be the third derivative of p(h). Factor v(i).\nAnswer: -2*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 30*n**3 - 4 + 12 + 2*n**2 + 2*n - 2*n**2 + 2*n**4 in the form b + s*n**3 + g*n**2 + i*n**4 + v*n and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 2 + -550 + 556.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -135135 divided by -27027?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928 = -61*m - 47*m - 8*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -7) + -7 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88696332 divided by -1602?\nAnswer: 55366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2455059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.41. Let v = i - 0.29. What is the second smallest value in v, -1\/10, 1\/2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2634, 3992, 5350, 6708, 8066, 9424?\n\"Answer: 1358*c + 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 425563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76705 (base 15) to base 4.\nAnswer: -1123312031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 7)*(3*m - 4*m + 0*m) - 3 + 1 - m + 2*m.\nAnswer: 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 0*p + 11 + p**2 + 10 - 15 - 4*p. Let n be 4\/1 - (1 + -1). Determine v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 24. Let i be 360\/42 - g - 4\/7. Suppose 3*n - 2*h = h + 3777, -i*n = 5*h - 3777. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) -2\/9 (c) -1 (d) -151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12288517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 9 = -3*l, -3*b - 5*l = -10*l - 34 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.490042, -2\/7, -32, -2\/9?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 535554, 535555, 535556, 535557, 535558?\nAnswer: 535559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110 + 36*w + 4*w**2 - 90 + 207)*(-2*w**2 + 3*w**2 - 14*w**2) as k*w**3 + o + a*w**4 + d*w**2 + s*w and give a.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10947, -11048, -11155, -11256, -11339, -11392, -11403, -11360?\nAnswer: -11251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 23. Let i = s - 1. Suppose -5*j = 3*a - 8422 - 31593, 5*a - i = 0. Round j to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 3*k. Suppose -14*a = -10*a - 8. Let n be s(a). Let p be -4*(0 - 9\/n). Let h(d) = -d. Let l(u) = 5*u - 1. Determine p*h(x) + l(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 0 - (-21 + 24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31212301330 (base 4) to base 8\nAnswer: 15466174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 307 + -339. Is -10 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4147944.0701 - 0.7\nAnswer: -4147944.7701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1938 * 11\nAnswer: 21318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -71, 2, 4 in decreasing order.\nAnswer: 4, 3, 2, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szssszssszzszzzszszz. What is prob of sequence ssss?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*l**4 - 160*l**3 + 185*l**2 - 50*l.\nAnswer: 5*l*(l - 5)*(l - 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:57 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24138988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 12 - 30. Suppose -w*m = -1 - 11. Solve 5*f - 3 = o + 18, 10 = m*f - 2*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2381, 3, -4, -3, 4, 0, -6 in decreasing order.\nAnswer: 4, 3, 0, -3, -4, -6, -2381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/(-840))\/((-30)\/8).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:25 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c - 54. Let x be f(-8). Let o(l) = l - 1. Let p be o(1). Let a = p - x. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 13*m + 150, 2*m + 325*l = 326*l - 27 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50906, -101872, -152838, -203804, -254770?\nAnswer: -305736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-39) - (-47334)\/91 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 8*w**2 - 10*w - 6. Let h(f) = f**2 - f - 7. Let x be h(0). Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.3 + -5. Let w be (36\/(-24))\/(4 - 1). Sort w, o, 0.5 in decreasing order.\nAnswer: 0.5, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*s - 156*s - 131*s in the form x*s + l and give x.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2. Let x(u) = -3*u**2 + 2*u - 2. Let z(i) = -10*i**2 + 7*i - 7. Let m(l) = -7*x(l) + 2*z(l). Determine m(y(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - -0.36. Let j = q - 0.296. What is j rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 10:34 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -94. Let j = -1 + 1.2. Let h = -1 + 5. What is the nearest to j in -5, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/28*-6 - 2\/14. Suppose z = i*v - 5669, -4*z - 22221 = 5*v + 481. Let m = -4036 - z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 563437.965 + -562228. Let t = -1368.9816 + j. Let l = 159 + t. Round l to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 341230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*x = -t + 953, 3*t = 6. Suppose -16*y - 151 = -x. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - 2*v**2 + 6*v + 7*v + 278 - 5*v**3 - 14*v + v**3 in the form s*v**3 + u + x*v + r*v**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h*m**2*u - 1730*h*u**2 + 1349*m**2*u**2 - 6419549*m**2 - 3*m*u**2 - u wrt u.\nAnswer: -3460*h + 2698*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*c + 14*c + 12. What is the first derivative of -4*j**3 + 15 - 21 - 7*j**c wrt j?\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 - 4 = 0. What is the common denominator of -27\/8 and (-3)\/(v\/((-3)\/30))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*d**3 + 0)*(0*d**2 - 3*d**2 + 4*d**2) - d**5 + 3*d**5 - d**5 + 11*d**4 - 21*d**4 + 11*d**4 - 21*d**5.\nAnswer: -22*d**5 + d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 65. Suppose -4*u + 5*u - g = 0. Suppose -u*d + 15078 = -8*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 8*s - 2. What is the smallest common multiple of (-72)\/(-14) - (-31)\/(-217) and j(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -6. What is the smallest common multiple of 8 and (11\/3)\/((-1)\/k)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.22 - 1.12. Let d = 10.54 + -0.04. Let q = d + -10. What is the closest to t in q, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3146)*3 + sqrt(26))\/(sqrt(16)\/(sqrt(56)\/sqrt(7))) - (4 + 5 + 5*sqrt(117)*5).\nAnswer: -41*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35212a + 1?\nAnswer: -352129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnhnnnnnnnnnnnnnnn. What is prob of picking 2 n?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 2*u - u)*(4 - 6 + 6)*(2 + 3 + 2)*(2*u + 2 - 2) as g*u + c*u**2 + h and give c.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsssqsssssssssqsssss. Give prob of picking 2 s.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 664082600 to the nearest 1000000.\nAnswer: 664000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (3 - (-284)\/(-4)). Let x = o - 64. Calculate the lowest common multiple of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -4) + (2 - 0) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 25*w + 12806 = a, 0 = 5*a + 4*w - 64085. List the prime factors of a.\nAnswer: 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/(-147))\/(38\/3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*f + 107*f - 2618*f**2 + 2438*f**2 + 7167*f**2.\nAnswer: 6987*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4230*f**2 - 2604*f**2 - 2717*f**2 to t*f**2 + o + k*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1216)*1 + sqrt(1216).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srhr when four letters picked without replacement from shrrrrss?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -910, -911, -912?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -344, -0.4, -1\/5, -892?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3\/4 - 5\/4*a**2 + 1\/4*a**3 + 7\/4*a = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 + 235*g\/4 + 59.\nAnswer: -(g - 236)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*-13*(-38)\/13585?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10156687\/92785 - 8430\/77. Calculate the common denominator of p and 47\/964.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 42, 76, 120, 174, 238?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 65\/9. Let g be 0*((-6)\/(-9) + -1). Let t be (-7)\/(-2)*(1\/7 - g). What is the third biggest value in 1, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 2, g: 1, r: 1}. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a + 4*a + 10*a - 9 + 16*a**2 + 0*a. Let x(q) = 8*q**2 + 4*q - 4. Let n(v) = 58*v - 7665. Let c be n(132). What is c*x(p) + 4*k(p)?\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.17 - -6.27. Which is the closest to -1? (a) 1 (b) 0.6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(z - 2*z + 0*z + (2 - 3 - 1)*(-z + 3*z + 0*z) - 2*z + 2*z - 2*z).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801072302.\nAnswer: 2, 3, 3907, 76831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 155066*i + 310140.\nAnswer: -2*(i - 2)*(i + 77535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860 bigger than 6860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 0.3. Let g = -0.09 - 0.31. Which is the closest to v? (a) -0.1 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**5\/20 - z**3\/6 + 5*z**2 - 2*z. Suppose -5*v - 5 = r, -4*v + 2*v = 5*r + 25. List the prime factors of h(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62632, -125265, -187898?\n\"Answer: -62633*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000130581302 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 8. Let u(w) = 7*w - 3. Let b(r) = -3*r. Let q be (-2665)\/451 + (-1)\/11. Let d(y) = q*b(y) - 3*u(y). Calculate 4*d(p) - 5*g(p).\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 115 = 82*x - 83*x, 4*x - 3*a + 506 = 0. Which is bigger: x or -128?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.3108 and -371887907.\nAnswer: -371887905.6892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1250 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(200) + sqrt(200) + sqrt(200) + -2 + -3 + 3 - (0 + sqrt(200)*-3 + sqrt(200))*-1))*-6)**2.\nAnswer: 2160*sqrt(2) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 - (-9)\/((-45)\/(-250))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 8:29 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 - 12. Give p(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 - 114646*i - 1146435\/2 = 0. Calculate i.\nAnswer: -229287, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -43, -3\/5, 159092 in descending order.\nAnswer: 159092, -0.2, -3\/5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 789714252 and -27.4.\nAnswer: 789714224.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.034.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -22. Suppose 0 = o*r + 35 + 7. Let v be (-3)\/(r*1\/22). Calculate the highest common divisor of 121 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f*f**(2\/5)\/f))**(-2\/101)*(f**(-1\/3))**(-2\/3)*(f\/(f**(1\/3)\/f))**0\/(f\/(f\/(f*f*f\/(f\/(f**0\/f)))*f))**34 assuming f is positive.\nAnswer: f**(776\/4545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-24))\/(5026\/7180).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 308*j + 3670. Determine f(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -57693?\nAnswer: 11\/57693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11246956 is divided by 11246944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*v - 228*v + 25*v**3 - 8*v**3 as w*v**3 + h + s*v**2 + j*v and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -4 - -4) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 - 2*n**2 - 1. Let b(z) be the second derivative of -1\/20*z**5 + 0 + 1\/2*z**2 + 0*z**3 + 5*z + 1\/12*z**4. Determine -4*b(j) - 2*v(j).\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1520*f**3 - 8*f**2 + 14*f - 28. Let c be d(-11). Round c to the nearest ten thousand.\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1722325328*m**2 + 1722325328*m**2 + 4*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 563.93 (b) 2\/47 (c) -1\/5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67579017 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3403, 39\/62, 3\/2 in ascending order.\nAnswer: 39\/62, 3\/2, 3403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163 - 158. Suppose -r*u + 1530 = 5*y, -3*y - 5*u = y - 1227. Does 30 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(810)*1)\/(2*sqrt(200)*1).\nAnswer: -9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*m + 5*m + 60, 0 = -5*m + 25. Suppose -3*l = -p*l + 5772. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10608*k - 19286*k + 8680*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + -1*sqrt(242) + -1)**2.\nAnswer: 88*sqrt(2) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 3516.\nAnswer: 98448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 38. Suppose -13*m = -12*m + 10. Let o be b(m). Factor -10*f**5 - 2 + 4*f**4 - f**3 + 9*f**5 - 3*f + 8*f - 3*f**3 - 2*f**o.\nAnswer: -(f - 2)*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 19*d**5\/10 + 10*d**3\/3 - 167*d**2\/2 - 240. Let l(z) be the second derivative of o(z). Differentiate l(u) with respect to u.\nAnswer: 228*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15207 + 3441?\nAnswer: -11766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88060 and 11254.\nAnswer: 29147860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-20) + (-44)\/(-10). Let r be 10\/f*(7 + 3). What is the third derivative of r*b - 20*b - 5*b**2 + 11*b**5 wrt b?\nAnswer: 660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.28.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 10) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4751340 divided by 1565\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + x + x + (44 - 79 + 53)*(-x - 3*x + 2*x)*(-2 - 2 + 2) + x - x - 4*x to s + q*x and give q.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5925*w - 10 + 1485*w + 11 - 38*w.\nAnswer: 7372*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/102 - 211\/714. Is z >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3404 - -0.1596. Sort 2, h, 9.9.\nAnswer: h, 2, 9.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 86?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -3, -4, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:45 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-7 - -13)) + 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - u)*(-1 - 3 - 9)*(2 + 0 + 0)*(2*u**2 - 8*u**2 + u**2 - 2*u**3).\nAnswer: -52*u**4 - 130*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 196*l**2 + 2 - 1 + l - 197*l**2. Calculate v(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 4*d = 2*g + 157, -2*g + 4*d = -74. Suppose 25*q + 504 = g*q. What is the greatest common divisor of 27 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*(-36)\/15. Suppose -3*z + i - n*i - 551980 = 0, -5*i = 4*z + 735980. Round z to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 27, 11, -25, -87, -181?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, 361, 4.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -45, -92, -167, -276, -425, -620?\n\"Answer: -w**3 - 5*w**2 - 3*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 0*i + 97 + 8 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -16*h**3 + 3*h + 3. Let g(n) = -47*n**3 - n**2 + 8*n + 8. Let k(u) = 3*g(u) - 8*p(u). What is the third derivative of k(w) wrt w?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743487.8g to milligrams.\nAnswer: 743487800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3541 or -14167\/4?\nAnswer: -14167\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 202000 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*(49\/(-6) + 6\/(-4)). Let f = -79 + a. Find the third derivative of -23*k**2 + f*k**2 + 0*k**6 + k**6 wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + l - 2. Let q be 1\/(-3)*(21 + -12). Let i(r) = -4*r**2 + 2*r - 3. What is q*i(v) + 5*z(v)?\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25539 - -54093. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17ba (base 16) in base 9?\nAnswer: -8288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14712?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*j**2 + 0 + 1\/6*j**3 + 1\/2*j.\nAnswer: j*(j - 3)*(j - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 6. Let v be 2\/10 + (-52)\/10. Does 9 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*t**2 - 123*t**2 - 3678*t - 1720*t to b*t + m + i*t**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 11 - 12*h**2 - 3*h**3 + h**2 + 4*h**3 + 7*h. Let v be i(10). Let k(w) = w**2 + 17*w + 18. What is the tens digit of k(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + b**2 + b + 1. Let u be r(0). Let v(i) = -2*i. Suppose 5*k - 3*k = 4. Let a(f) = -1. Determine k*a(m) + u*v(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -14. Suppose -q*i - 9 = 21. Is i less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqq when three letters picked without replacement from dqppqdqpxpqdqpaqpu.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.021 + 0.831. Let r = j - 0.31. What is the nearest to -2 in r, -0.5, 6\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -46, -97, -168, -259?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.0418 rounded to 0 dps?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Suppose -5*k = -x - 0 - 1, 13 = k + i*x. Suppose 4 + k = r. Put r, -1, -3 in decreasing order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -3aa5?\nAnswer: 3aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173548 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: Simplify 5 + sqrt(153)*3 + -4.\nAnswer: 1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbwkfkwwkfbrk. What is prob of picking 2 r?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2*(-3)\/(-51)). Let h = -21 - a. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 64898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 1, w: 2, a: 1, s: 4}. What is prob of sequence aywu?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*l**2 + 7688*l + 807*l**3 + 888*l**3 - 1693*l**3 = 0.\nAnswer: 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*v - 202 = 90 + 324. Solve 4*d + u = 18, 32*u - 35*u = v*d - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -531, -2158, -4877, -8694, -13615, -19646, -26793?\n\"Answer: -u**3 - 540*u**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/57)*g**(2\/29) assuming g is positive.\nAnswer: g**(56\/1653)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 4403750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(4 - (-39)\/(-9)). Let p(o) = -1. Let r(u) = -u**2 - 3*u. Let y be -3 + (22 - 11 - 10). Calculate m*r(q) + y*p(q).\nAnswer: -q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4907*d**6 + 12218*d**6 + 4529*d**2 - 4414*d**6 wrt d?\nAnswer: 347640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41907 + 126267. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10208893 at most 10208888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let t be 74\/(-3)*(1 - -2). Let u = 145\/2 + t. Which is bigger: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 4908*d**2 - 2007372*d.\nAnswer: -3*d*(d - 818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**6 - a**4 - a - 1. Let w(x) = 4*x**6 + 58*x**5 + 2*x**4 + 9*x**2 + 10*x + 2. Let k(q) = -2*r(q) - w(q). Find the third derivative of k(s) wrt s.\nAnswer: -240*s**3 - 3480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 5\/5478, 2?\nAnswer: 5\/5478","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72269506.7134543 - -72269512. Let v = z + -5.18255. Let j = 0.104 - v. What is j rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g*k**3 - 77*g*k**2*m**2 - 2*k**3*m**2 + 2*k*m**2 - 1308*k wrt g.\nAnswer: -2*k**3 - 77*k**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/2 + (3 - -1). Let c = h - -25. Calculate the least common multiple of c and (-7 + (-3)\/(-1))*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.3 in 5, 4\/5, 9\/5, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*x = 763 + 493, 628 = o + x. Suppose -2*i + 2*w + 537 - 121 = 0, -3*i + 2*w + o = 0. Is i a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1521518 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1439140 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 39292022 divided by -3773\nAnswer: -10414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 25 = -65. Suppose 0 = 4*q - s*a - 1, 5*q - 2*a = 3*a + 5. Suppose 20 = q*k + 12. Solve k*p + 3*w - 24 = -w, -p = -5*w + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 375 = -136*q + 141*q, q - 1803 = 5*g. Which is the second smallest value? (a) -1.3 (b) -4\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w. Let t be v(1). Suppose 0 = z - t*p - 34, -3*z = -0*p + 5*p - 113. Let n = -12 + z. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-15) - (-84)\/(-15). Let a be (f - -5) + 2*2. Suppose -24 = -2*z - 2*z + a*o, o + 13 = 3*z. Solve 2*g - 4 = z*p, 5*p = 2*g - 3*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77b9 (base 14) in base 5?\nAnswer: 1130433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -560.614 plus -0.03?\nAnswer: -560.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8027, -15783, -23547, -31319, -39099, -46887, -54683?\n\"Answer: -4*l**2 - 7744*l - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 31*w**2 - 26*w - 190. Let c be r(32). Determine q so that 0 + 0*q**c + 1\/7*q**3 - 1\/7*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.1? (a) 5 (b) -3\/2 (c) -3\/10 (d) -5 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*n + n. Differentiate -2*u**4 - 2*u**4 + 1 - 5*u**n + 2 with respect to u.\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -3*w + 1322. Round w to the nearest 10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-15) - (-58)\/145)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - c - 32. Let t be p(5). What is the second derivative of -6*x**4 + 18*x**4 + 24*x**4 + t*x wrt x?\nAnswer: 432*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150845857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 178783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2 - 3*v. Let k(u) = -28*u**2 + 309*u - 1. Determine 2*b(f) + k(f).\nAnswer: -16*f**2 + 303*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one twentieth of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 1, d: 1, l: 1, n: 2, z: 1}. Give prob of picking 1 l and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.94 - 1. Let t = k - 3.94. Let l = 0.04 - 0.04. Which is the smallest value? (a) t (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 632373 or 632468?\nAnswer: 632468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*f**3*i**3 - 9*f**3*i**2 + 10*f**3*i - 2*f**3 + 43799*f**2*i**6 - 344*f**2*i**2 + 119*f wrt i?\nAnswer: 606*f**3 + 5255880*f**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from pbbbiubisbpsissiip.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 1, x: 2, a: 2, j: 1, t: 1}. What is prob of picking 1 t and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917750?\nAnswer: 2, 5, 11, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1082 - -1540. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -846252.7 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -798.\nAnswer: 10374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 20, 46, 82, 128?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6)*s)\/(s**(1\/3)\/s)*s**(2\/7)\/s*s\/(s\/s**(-6)*s)*((s**(7\/2)*s)\/s*s**(-8))**10 assuming s is positive.\nAnswer: s**(-1177\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 3 = -4*q. What is the third derivative of 7*b**q - 6*b**6 - 7*b**2 - 4*b**6 + 2*b**2 wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12 and ((-4)\/(-6))\/((-448)\/624)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a - 1. Let o be 0*1\/2 - (-4)\/1. Let l(x) = 24*x + 2. Let u(b) = o*l(b) + 14*v(b). Find the first derivative of u(z) wrt z.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546585 by 14015.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538 + 506 = -4*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(1\/4)*z)*z**(-1\/46)\/z)\/(((z*z\/(z**17*z))\/z)\/(z**(-30)\/z)) assuming z is positive.\nAnswer: z**(-1497\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 244458518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016479 to 4 decimal places.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (328*q**2 + 47*q**2 + 17*q**2 + 227*q**2)*(2*q - 2*q + 2*q**3).\nAnswer: 1238*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 520070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**3 - 16*d**3 + 26*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.2 (c) -5.3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 7*c. Let a = c - -4. Suppose -4 = -4*k + a. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 673*p + 204. List the prime factors of d(12).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8488 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -456 - -71. Let m = 684 + c. Let a = -298.999873 + m. Round a to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-2 + 4)) + (11 - (-44 + -42))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-six fifths of a day?\nAnswer: 21888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 - 13 + 9)*(3*v**2 - 2*v**2 - 5*v**2 + (0*v**2 + 3*v**2 - 2*v**2)*(0 + 0 + 2) - 2*v**2 + 0*v**2 + v**2) as j + s*v + c*v**2 and give c.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -10993\/306?\nAnswer: -10993\/306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - 333 = -354 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36216 divided by 3.\nAnswer: -12072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166.98 + 159. Round s to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1066, -1282, -1846, -2932, -4714, -7366, -11062, -15976?\nAnswer: -22282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 24\/((-192)\/40) - (6 + 89))\/(-2)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5759 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1668*-1191.\nAnswer: -1986588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 11*u**2 - 8*u + 4. Let y be g(-13). Calculate the common denominator of y\/(-75)*18\/8 and -119\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 12*f + 4*b, -15*f + 13*f + 2*b = 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f**(-12\/5))\/(f\/(f**(1\/5)\/f))**42 assuming f is positive.\nAnswer: f**(-401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167887 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 460*p - 465.\nAnswer: 5*(p - 93)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = 23*y + 26350. Let n = -249 - y. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 24*k - 2. Let p(i) = 384*i - 33. Let g(x) = 33*d(x) - 2*p(x). Let n be g(4). Suppose -u - 4 = -16. Calculate the highest common divisor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1384*-1.1569.\nAnswer: 0.16011496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (166*s**3 + 167*s**3 - 119*s**3)*(3*s + 2*s - 2*s) + 3*s**3 - 4*s**4 - 3*s**3 to the form p*s**3 + k*s + l*s**4 + o*s**2 + w and give l.\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 489 - 205. What is the remainder when m is divided by 43?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*d + 2109 + 492 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 653*p**4 + 1184 wrt p.\nAnswer: 2612*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2966191011 from -0.1.\nAnswer: -2966191011.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (12\/(-9))\/((-2)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 409*y**6\/60 - y**5\/60 - 857*y**3\/6 + 1831*y**2. What is the first derivative of j(r) wrt r?\nAnswer: 2454*r**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17298 and 10782?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 771 less than 0.2?\nAnswer: -770.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -5*p - 4, -3*p - 4*g - 12 - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8991685899 + 0.09.\nAnswer: 8991685899.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 11:26 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -115*r**8\/24 + r**6\/120 + 1067*r**5\/20 + 2*r**2 + 2027*r. Find the third derivative of l(a) wrt a.\nAnswer: -96600*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.0694 - 419.7?\nAnswer: -313.6306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 greater than 14288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*r + m - 24 = 398*r, 0 = 2*r + 2*m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -426 + 423. Let y = -1.2 - -2. Let s = 0.2 + y. Which is the smallest value? (a) x (b) 5\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*q**2 + q - 2*q**2 - q to h*q**2 + x*q + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41790186 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.281853775 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2802 + -2798. Let q be (-2)\/(1 + 17\/(-16)). What is the third smallest value in q, k, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 338, 527, 716, 905, 1094?\n\"Answer: 189*d + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8271995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 5) to base 8\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 720653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 3*j = 90. Let n(v) = 2*v**2 - 2*v + 9. Let t be n(6). Let f = t + j. Calculate the highest common factor of f and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62db5 (base 16) to base 7.\nAnswer: -3304342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-5\/6)*(n\/n**4*n*n)\/n)**(30\/7)*(n\/(n\/((n\/(n*n**(-1\/4)*n))\/n)))**39\/(n**3*n**(-3)) assuming n is positive.\nAnswer: n**(-1931\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6*c - 19. Let l be h(-4). Suppose -10 = -l*g - 0*g, -2*x + 106 = 2*g. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*k + 56, -22*a + 26*a - 4*k - 48 = 0. Solve 4*v + 4*y + 12 = 0, -10*v + 12*v + 3*y + a = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 22*p**2 + 3*p - 55. Let v be q(22). What is the greatest common divisor of 77 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -166 + 168. Let w(z) be the third derivative of 0*z**3 + 4*z**r - 1\/105*z**7 + 0 + 1\/168*z**8 - 1\/60*z**6 + 0*z**4 + 0*z + 1\/30*z**5. Factor w(p).\nAnswer: 2*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-228)\/(-9) - -6 - 4\/(-6). Suppose -i = -z + 6. Which is greater: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -278 - 56*n - 5*n**2 + 544 + 51*n + 0*n**2 + 644.\nAnswer: -5*(n - 13)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2 + 17*h - 60 = 0.\nAnswer: 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*t + 112, 4*z - 180 = -5*t - z. Let o = 26 - 15. Calculate the remainder when t is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 2*i - 4. Let l be h(3). Let k = -5 - l. Factor v**k - v**2 + 1 - v**2.\nAnswer: -(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 28, 3, -6, -0.062, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -y + 4*b, -5*b + 59 - 64 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let t = d + -6. Let g(h) = -4*h - 1. Give g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5\/5 + 9*i**4\/5 - 6*i**3\/5 = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*w + 2*m - 106, 2*m - 4 = 0. What is the tens digit of w*(-3)\/(-6) - (-4 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13934*c - 905715. What is n(-65)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - 233111?\nAnswer: -233221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 420003.6 years in months?\nAnswer: 5040043.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -257 - -9164.85403.\nAnswer: 8907.85403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1161466.111 times -5\nAnswer: -5807330.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knyyknnn. What is prob of picking 1 n and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 - 93316*a + 2176968964 = 0. What is a?\nAnswer: 46658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 191808564 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 333145333 (base 6) in base 15?\nAnswer: 7e2763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*z + 7640, -7658 = -20*l + 15*l - 4*z. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:10 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/4)\/(57\/494). Solve h - y = 3*f - 4, 0 = -f + h - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 4. Let p be f(-3). Let y be 0 + (-2 + 13 - p). Solve -s - 3 - 12 = -5*a, 5*a - 2*s - y = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 973*x**2 + 10*x**2 - 996*x**2 - 246 + 12*x**2.\nAnswer: -x**2 - 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 1.908 (c) 2\/5 (d) 291\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12*x + 1. Suppose -7*r - 3*r = -50. Let n(d) = -13*d. Let p(s) = r*k(s) + 4*n(s). Let u(c) = -23*c - 15. Let i(b) = -11*p(b) - 4*u(b). What is i(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 15 = 0, 0 = -c + 3*c + 5*k + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (63\/24)\/(-7). Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 4*w - 8. What is the lowest common multiple of o(4) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 = 27. What is the highest common divisor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnc when four letters picked without replacement from ncncncccnnncn?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*w - 15*w. Solve w = o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f. Let x be 1 - (2 + -1 - 2). Let i(g) = 10*g**2 - 10*g**x + g**2. What is u(i(w))?\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 2, 662?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 267146 and 1.2?\nAnswer: 320575.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 2*o - 240 = 0, -45811*o = -124*v - 45814*o - 7180 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/3 + (-2)\/(-3). Suppose -j*r - 2*a + 86 = 0, -3*r + a + 25 + 20 = 0. Suppose 0 = -2*o + 6*o - r. Calculate the least common multiple of 7 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 746 a factor of 1177934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 - -110 - (3 + -2 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -6 + 2. Suppose 5*c + 8 + 7 = 0. What is the units digit of j\/3*2*c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from aammlmmmsllsamm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275912 is divided by 2412.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -115*(25116\/14812 + 2\/(-1))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368\/(-4784))\/((-6)\/(-26)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 31. Let i be (4*(-27)\/(-12))\/1. Let j be b(i). Solve -j = -u - 0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -19) + -3 + -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*i. Let l(n) = 29*n - 174. Suppose 8*y - 44 = 4. Let o be l(y). Solve -i*g - 3*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**5\/60 - 7*u**4\/24 + 13*u**3\/6 - 8*u**2. Let s be d(-8). Suppose -s*k = 17 - 372. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/67*(-1)\/((-2)\/(-16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 527*p + 3 - 517*p + p**2 + 2*p**2 to a*p + y + x*p**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*d - 6*v - 4 = -51*d + 7*d, -108 = -3*d + 9*d - 3*v for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/(65\/20 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 22. Let r be (1 - 1) + (-30)\/(-10). Which is the fourth smallest value? (a) -3 (b) w (c) -1\/21 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*t**4 - 3*t**3 - 46*t**2?\nAnswer: 336*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -575, -821, -1067?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3 + 31956*u**2 + 8846820*u + 602081100 = 0. What is u?\nAnswer: -135, 8259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 14. Calculate the least common multiple of 20 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52925604 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7806163211 to the power of 1\/2, to the nearest integer?\nAnswer: 88352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1322646.6 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -640 + 631. Let k(u) = u**3 + 6*u**2 - 28*u - 8. What is k(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g - 8. Let o be z(0). Let u be (9\/(-45))\/(o\/(-90)). Is -3 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*s**3 - 6*s**3 + 4*s**2 + 2*s - 2*s**3 + (1 - 2*s**2 - 1)*(0*s - 5*s + 4*s).\nAnswer: 3*s**3 + 4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1097, 2197, 3297?\n\"Answer: 1100*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 51067632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**3 - 261948*c**2 - 4313194092*c - 805863643956 = 0.\nAnswer: -32649, -189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/10)\/(7\/70). Let k be (w\/(-18) - 34765\/10791) + 3. Let q = k - -384859\/35970. Calculate the common denominator of 113\/20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (892\/1338*30\/14)\/(2\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 97d0?\nAnswer: 97ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -612 - -617. What is the second smallest value in 10, 5\/4, -5, w?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.7, -0.11, 4 in decreasing order.\nAnswer: 15.7, 4, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 169537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 146697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Let q(p) = -3*p + 64. Let t be q(21). Let y be t - ((1 - m) + 1). Let w(l) = -5*l**2 + l - 1. What is w(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -509\/5 + 15789\/155. Suppose 9 = 5*t - r - r, -r = 2. Is m greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n**2 - 29*n**2 + 20*n**3.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5916*l - 129017 - 97909 = -2200*l + 1687*l for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 667 = 3*b + 195, -4*b = -n + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -39*g + 34*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (1 + 5 - (0 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -30499930 greater than or equal to -30499930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 63*f**2 - 11*f + 709. Give o(63).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172496 - 8020 = 13*v. Suppose 0 = -37*a + 51765 + v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/6 + h**2. Let d be j(-1). Find the common denominator of -67\/16 and (-6)\/d*(-195)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 at most 310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2862) - (-62)\/(-1643)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1618 - 1573. Solve 4*a + q = 41 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41029 + 41033. Calculate the lowest common multiple of 1298 and g.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 3 in decreasing order.\nAnswer: 3, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 - -8254*3\/6. Let d = -1842 + j. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*q + 12 = 0, -2*q - 25 = h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115a (base 14) to base 9.\nAnswer: -4125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093782970.\nAnswer: 2, 5, 103, 2032799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62452 and 2204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61838 and 27566.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 13 - 8. Let o be (-1)\/(c*(-3)\/24). Differentiate -17*f + 5*f**4 + o*f + 9*f - 9 with respect to f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose -v*m - 7 = -31. Is 12\/(-5)*(-40)\/m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.04 (b) 0.06 (c) -6.468\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-88) + 10\/(-55).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 190*h + 182. Let q be a(-1). Let t(n) = -n**3 - 9*n**2 - 15*n - 35. What is t(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (19 - (-14 + 40 + -21))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) + 24\/(-20). What is the units digit of (y - 0) + 0 + 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 21247*g**2 - 47*g. Let c(l) = -10625*l**2 + 28*l. What is -5*c(a) - 3*z(a)?\nAnswer: -10616*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2247*w**2 + 248 wrt w?\nAnswer: -4494*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let b(c) be the first derivative of -c**2 - 12*c + 31. Let i be b(-6). Let f(z) = z - 14*z - 1 + i*z. Determine v(f(l)).\nAnswer: 169*l**2 + 26*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-12)*c*c)\/c**6)**9*((c*c**(-1))\/(c\/(c**8*c)*c))\/(c**(1\/2)*c*c*c\/c**(-6\/11)*c) assuming c is positive.\nAnswer: c**(-3125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + 171. Let z = 8 - 6. Suppose i*j + u = 111, j + z*u - 108 = -j. List the prime factors of j.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 9:38 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 875 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111506.46 - 112570. Let g = t + 1063.583019. Let k = 0.043 - g. Round k to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6937*a - 10638 = 6931*a. What is the smallest common multiple of a and 15?\nAnswer: 8865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1.4 (c) 12 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x + 3. Let o(m) = 8811*m. Give v(o(q)).\nAnswer: -35244*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-7))\/(6\/42). Solve -d*f - 5 = -14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31022232100 - 12?\nAnswer: -31022232112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430825612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -526 + 2084 = -38*z. Let w(d) = d**3 + 2*d**2 - 10*d - 9. Let g be w(-4). Put 3, z, g, 0 in decreasing order.\nAnswer: 3, 0, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 564 and -0.3.\nAnswer: -169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -529? (a) -32 (b) -2\/9 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q - 1, -4*g + q = -61. What is the smallest common multiple of 12 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*l - 11. Suppose -l*s = -37 - 35. Solve -s + 2 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368781*h**3*m**2 - 3*h**3*m - 2*h**2*m**2 - h**2 - 27*h*m**2 - 41*h*m + 5*m**2 wrt h?\nAnswer: 2212686*m**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.656504 times -1\nAnswer: -0.656504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-14 + -9)) + -20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**3 + 21*d**2 + 27. Let x be q(19). Let k = x - 20208. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 14*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -21640 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 250991, 4, 9 in decreasing order.\nAnswer: 250991, 15, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Let c(a) = -3*a**4 + 9*a + 5. Let o(j) = j**4 - 4*j - 2. Let g(d) = y*c(d) + 5*o(d). What is the second derivative of g(b) wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/((-3)\/(-1)))\/2. Suppose m = -3*a + 2*a. Suppose 0 = -u - 2 + 6. Solve -u*f - 6 + 14 = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2569 (base 10) to base 3.\nAnswer: -10112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in -14, 2\/9, -1, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -7*p - 7*p - 102 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f**3 + 18*f**2 + 3*f + 3. Let z(v) = 5*v**3 + 6*v**2 + v + 1. Calculate -4*l(u) + 11*z(u).\nAnswer: -5*u**3 - 6*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697200 is divided by 205?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 80. What is the second smallest value in f, 0.08, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -144, -183, -252, -357, -504, -699, -948, -1257?\n\"Answer: -q**3 - 9*q**2 - 5*q - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36*2)\/3*(-5)\/15.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 12*i**5\/35 - 8*i**4\/7 + 4*i**3\/3 - 4*i**2\/7 + 5. Factor z(g).\nAnswer: 4*g*(g - 1)**2*(3*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1227.75 years to months.\nAnswer: 14733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-1) + (-154)\/(-18) + -3 and -17\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863\/340 less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 8, e: 4, l: 1}. Give prob of picking 3 e and 1 l.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001317352 rounded to 5 decimal places?\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4527.332 weeks?\nAnswer: 31691.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 306183, 1224721, 2755615, 4898865?\n\"Answer: 306178*r**2 + 4*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.7 or 374723.2?\nAnswer: 374723.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 + 8 = 0. What is the nearest to m in 5, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5861030 + -623518\nAnswer: 5237512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*(c*c\/(c\/(c**25*c*c)))\/c*c)\/c*c*c**20*c**16\/c*c**(-6)*c)**(5\/7) assuming c is positive.\nAnswer: c**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**3\/5 + 1924*m**2\/5 + 11656*m\/5 + 15584\/5 = 0.\nAnswer: -4, -2, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143 times 0.07?\nAnswer: 0.01001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -82. Let s = v - -2. Solve 2*x = -x - s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30398381 is divided by 284097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h - 18 - 0. Put 5, 1, -1, h in ascending order.\nAnswer: h, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - -50. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 3*x**5 + x - 3*x + (0*x - 3*x - x)*(-6*x**4 + 3*x**4 + x**4).\nAnswer: 4*x**5 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468656 is divided by 1075?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/(-8*(-5)\/360) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 133.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 95? (a) 0.4 (b) -4 (c) 8515\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**3 - 3*f**2 + 3*f - 2. Let b be a(3). Suppose r - 4 = b. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 478, 680, 882, 1084?\nAnswer: 1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*g**2 + 2*g - 64*g**2 - 57*g**2 + 1 to h + l*g**2 + i*g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*p - 7*p**3 - 38*p + 68*p - 153*p**3 as z*p**2 + v*p + h*p**3 + s and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10*k + 80 = 0. Let w = 29 + k. Let i be w - (-2)\/(-2)*0. Solve -5*t - 3*x - 21 = 0, 5*t - 2*x - 2 = -i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9620554, -9620555, -9620556, -9620557, -9620558?\nAnswer: -9620559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -17 + 24 + -28 + (-1 - 2 - -45)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, 4*f = -5*w + 14 + 6. Solve 2*m - f = -q, -q = 4*m - 2*q - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h + 2, -2*h = -2*y + 8. Suppose -3*w = y - 12. Solve 0*d + w = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + 0.37. Let l = 1.15 - g. What is l rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 1965258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2124177 divided by -4\nAnswer: 2124177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from djjwxjjwcxjx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0*m**2 + 1\/5*m**6 + 0*m**3 + 1\/42*m**7 + 9\/20*m**5 + 1\/3*m**4 + 82*m + 0. Factor o(h).\nAnswer: h**2*(h + 1)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37\/2, 4, -491, 5 in decreasing order.\nAnswer: 37\/2, 5, 4, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 279919252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2 = -1. Let t(l) = 33*l. Let j be t(u). Calculate the greatest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 381 = 3*m, -m = 2 - 3. Let f = -19 + i. Suppose -q = 4*s + q - 162, 5*q = -2*s + f. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2 - 4 = l, 2*l + 2*j - 12 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -184384416*o**4 - 2*o**2 + 8544189*o wrt o.\nAnswer: -4425225984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -10*a - 15. Solve c = a*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 190 - 1328\/7. Let p = 3 + -3.1. Which is the closest to -1? (a) u (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (12 - (28 + -23))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**0*o)**(-18))**(19\/2))**47 assuming o is positive.\nAnswer: o**(-8037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -17. Suppose -n + 3*n = l + 9104, 3*n - 3*l - 13650 = 0. Suppose -d*z + 1025 + n = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290099679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*o**2 + 120*o**2 + 24*o**2.\nAnswer: 254*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*w - 174*w = 1456379. Does 128 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q**2 - 20 + 20 - 18*q**2. Let u(m) be the second derivative of 1\/3*m**3 + 0*m**2 + 0 + 5*m. What is i(u(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 66996, 4, 910 in decreasing order.\nAnswer: 66996, 910, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*d + 66*d = -2028 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.97 + 1.022. Let j = -0.152 + k. Let n = -9 + 0. Which is the smallest value? (a) n (b) j (c) -0.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2922 = 4*c, -2*w - 2*w - 2*c + 5834 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2468\/3 - 808. Find the common denominator of (-91)\/(-49)*(1 - -2) and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -4)\/((-2)\/(-3)). Suppose 3*h = 2*v + 6*h - 16, 40 = 5*v - h. Let f(j) = 8*j + 2 - j - v*j. Calculate f(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ab (base 15) to base 16\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/1694 + (-22)\/(-7) - (7 - 5)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44 (b) -1265 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2588281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8140 - 7867. Calculate the remainder when d is divided by 273.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*w)*(15*w + 6 + 3 - 17*w).\nAnswer: -6*w**2 + 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2. Let t(w) = -108849*w**2. Determine k(t(u)).\nAnswer: -35544314403*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1731.6029 to the nearest ten.\nAnswer: -1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 337 and 169968983.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(114) - sqrt(114)*1)*-1 - sqrt(114))*5)\/(-2*sqrt(600)*1))**2.\nAnswer: 171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29406*s**2*t**3 - 2048*s**2*t**2*z**2 + 1299*s**2*t*z**2 + 16*s*t**3*z**2 - 5*t**3*z wrt t?\nAnswer: 176436*s**2 + 96*s*z**2 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19136, 19130, 19122, 19112, 19100, 19086, 19070?\nAnswer: 19052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -563.7 to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022212 - 2201201110?\nAnswer: -2210001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*f - 1 - 711*f + 1261*f.\nAnswer: 45*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 0.5. What is the closest to b in 5, -4\/9, 1\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -327860363*u**3 - 23*u**2 + 1257494 wrt u.\nAnswer: -1967162178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 241, 457, 673?\n\"Answer: 216*v + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 10.08260968?\nAnswer: 10.58260968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917711628.\nAnswer: 2, 3, 19, 4025051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 8*p + 2. Let r be l(-8). Suppose -y + 3*y + 10 = -5*z, r*z - 17 = -5*y. Let x = y - -9. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1, -5, -7\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -0.14. Which is the second biggest value? (a) 1\/2 (b) x (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-21) - 1056\/14. Let i = -30 - q. Let t = i - 26. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996583 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441 (base 6) in base 13?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 15, 5 = -l - 2*h - 6 - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 16*q. Let a(u) = -5*u. Calculate n(a(k)).\nAnswer: -80*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 0) + 1 + 1 + 4 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -1) + 11 + -17 + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*14\/280)\/(6\/(-432))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 850 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z = 24*z - p - 11, 5*z - p = 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 216\/(-15) - 4\/(-10). Let q = 4 + x. Let u = -3 - q. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2 in decreasing order.\nAnswer: 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.84 + -27. Let j = -33.16 - p. Let r = -32.99985 - j. What is r rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 4, 9, 138, 2 in decreasing order.\nAnswer: 138, 13, 9, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-6) - 212\/(-325) and (462\/(-16))\/(-9*-10*(-2)\/120).\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/380 and -67\/1407900.\nAnswer: 1407900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1912579 days in minutes?\nAnswer: 275.411376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*o = 6, 5*t = 2*o - 3*o - 7. Let r = 0.04 - 5.04. Let n = 30 - 29.8. Put t, n, r in decreasing order.\nAnswer: n, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:15 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (-5 - 18\/(-7))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -148.2 in -5, 4, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*y - 52 = 0, 2*y = -2*d - 2*y + 56. Let i = 2 + -12. Let j be 5\/i - d\/(-4). Solve -s = j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18907517*m + 4845461 wrt m?\nAnswer: -18907517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 1, o: 2, n: 2, p: 1}. What is prob of sequence oep?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8141, 66730, 225707, 535250, 1045537?\nAnswer: 1806746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 3:57 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -112700000 to the nearest 1000000.\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-12))\/(5\/(-10)). Let h = -0.37 + -0.03. Which is the closest to y? (a) -2\/7 (b) h (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 2, 2\/19, -98?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 688 = 13*p. Let g = 14 - p. Suppose -18*r - g = -20*r. Is r a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 93*i - 749. What is q(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbyymhmhymy. Give prob of sequence ymb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3)*(j**(-3\/4)*j)\/j*j**(-3\/2)\/(j*j**1)*((j*j**(3\/5)*j)\/(j*j**(2\/3)))\/j**(2\/177) assuming j is positive.\nAnswer: j**(-7467\/1180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 4 - 4 + (-1 + 3 - 1)*(2 - 2 + 3*m) + m - 1 + 1 + (-1 + 2 + 0)*(2*m + m - m) - 2*m + 4*m + 0*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1264712.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/21 - (-2)\/3. Let g = 3026 - 3023. Which is the third smallest value? (a) l (b) -0.5 (c) 0 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1119b - -2484?\nAnswer: 13663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29489034 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - 2*l. Let m(g) = 2*g**2 + g. Let f be 55 + -5*6\/6. Suppose -t - 54 = -f. What is t*n(u) - 9*m(u)?\nAnswer: -6*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6))**(4\/7)*(((z\/z**(1\/5))\/z)\/z)\/(z**0*z) assuming z is positive.\nAnswer: z**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9007311?\nAnswer: 3, 19, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, s: 3, e: 10, l: 1}. What is prob of picking 1 l and 3 e?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**4 + 3*m**3 + 5*m + 50. Let a = -200 - -203. Let w(g) = -5*g**4 - 5*g**3 - 9*g - 101. Let y(b) = a*w(b) + 5*k(b). Differentiate y(r) wrt r.\nAnswer: -20*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 246 + -2. Suppose -15*o + b = -13*o. Let d = o + -73. What is the remainder when d is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -58. Suppose 208690 = -57*h + s*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, a: 7, x: 2, d: 2}. Give prob of sequence hxd.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) 166 (c) -3\/2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*h + 1527*g**3 - 3*g*h - 657*g wrt g.\nAnswer: -12*g*h + 9162*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*d + 35 + 43 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -17. Let u(c) = -7 + m - c + 8. Let y(q) = q**4 - q**3 + 5*q - 5. Let t(b) = 5*u(b) + y(b). Find n such that t(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*k)*(-7*k + 6*k + 6*k).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - z - 151 = 0, 3*v - z = -5*z + 432. Which is the second smallest value? (a) -5 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 - 4) - (0 - 0 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 - 0.6. Let o = 24\/109 - -61\/218. Which is the nearest to 0? (a) 1 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 3474.\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7262 is divided by 173.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121599 divided by 3?\nAnswer: -40533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3563, 7114, 10665, 14216, 17767?\nAnswer: 21318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5085111*w**3 - 6*w**2 - 11*w + 3102 wrt w?\nAnswer: -30510666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 7.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**7*h\/(h*h*h*(h\/(h\/(h**(2\/23)\/h*h*h)))\/h))\/(h**1*h)**(2\/55))**(7\/3))**(-17) assuming h is positive.\nAnswer: h**(-242879\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (8 - (4 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 4*p + 5. Let y be x(5). Let q(u) = -u**3 + u**2 - 2*u + 68. Let v be q(y). What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2980 - 2980. Solve 4*o - 5*y = 35, m = -2*o - 6*y + 10*y + 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/12 and 4 + 82\/(-12) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.14 - -0.14. Let k = j + 12.7. What is the nearest to -2 in k, 0.5, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3106, -5629, -8150, -10669, -13186, -15701, -18214?\n\"Answer: g**2 - 2526*g - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k*k**23\/k))\/(k*(k\/(k*((k*k*k**8)\/k)\/k))\/k*k)*(k*k**(-14)*k)\/k**23 assuming k is positive.\nAnswer: k**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s**3 + s**2 + 19*s + 17. What is the thousands digit of a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 17*f**2 + 174*f + 33. What is m(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -8 (b) -1\/18 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*l**3 - 15*l**3 - 12*l**3 - 9 wrt l.\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7972845.\nAnswer: 3, 5, 43, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {p: 1, a: 5, f: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10702277\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 5 (b) 0.3 (c) -4 (d) -328 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 11*w**4\/24 - w**2\/2 + 2. Let y(j) be the second derivative of c(j). Let v(t) = -212771 - 4*t + 212771. Determine y(v(n)).\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-45))\/(3\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:58 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045*l - 1531904 = 1029*l. List the prime factors of l.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659462 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 672119 + 1477987 = 14*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 10*j**2 + 5*j + 45. Calculate b(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 2*f**4 + 11*f**2 - 2 - 35*f**2 + 11*f**2 + 10*f**2 as i*f**4 + y*f**3 + o + r*f + z*f**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 412*s + 73. Let z(f) = 14*f**2 + 1237*f + 256. Calculate 7*y(j) - 2*z(j).\nAnswer: 7*j**2 + 410*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*-2)\/(sqrt(10) - (sqrt(10) - sqrt(20)\/sqrt(2)*-5)).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from bbwwowylwwwyy?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:38 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1806*b + 1. Let r(c) = 6*c**2. Give r(h(a)).\nAnswer: 19569816*a**2 - 21672*a + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.498883ml in litres?\nAnswer: 0.000498883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.04 + 0.04. Put w, -3\/4, 4 in decreasing order.\nAnswer: 4, -3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 345 + -343. What are the prime factors of s - (1 - 11529\/9)?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3 + (6 - 248\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -29205*w. Let v(d) = -d**2. Determine u(v(y)).\nAnswer: 29205*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*m*v**4 + 267*m*v**2 + 11317*m*v - 25451*v**5 wrt v.\nAnswer: 3144*m*v - 1527060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 106 = 344. Let b = n + 343. Suppose -b = -2*h + 12. Is 43 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/654 and -11\/2.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3 = -46. Suppose 5*f - 8 = 2. Suppose 0 = y - f. Solve -20 = p*l - y*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - d. Let h(q) = -9*q**2 - 4*q. Calculate -h(c) + 2*p(c).\nAnswer: 7*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -586 + b - 328*b**3 + 275 + 308 in the form q*b**3 + l + r*b + o*b**2 and give q.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/24*441 + 6. Suppose 9*q - m = 5973. What is the highest common factor of q and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 33 = -0*k + 98*k + 64 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35940056.08 to the nearest ten thousand.\nAnswer: 35940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 2, i: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 - 11*u**3 - 34*u - u**4 + 4*u**2 + 35*u in the form t*u**4 + y*u**3 + q*u**2 + n*u + w and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37372.547 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4 + 2124*p**3 + 378063*p**2 + 747654*p = 0.\nAnswer: -353, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-59)\/(-7) + 3 + 168\/(-49). Let r be (-1)\/(-4)*(q - 0). Solve 0 = -l - 5, 5*u + 0*l - r*l - 20 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g - 12\/5*g**5 + 11 - 2\/3*g**6 - 3*g**4 + 0*g**2 - 4\/3*g**3. Determine d, given that v(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 11. Let u be ((-792)\/30)\/(j\/(-10)). Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 71, 139, 265, 467, 763, 1171, 1709?\n\"Answer: 3*k**3 + 2*k**2 + k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14706387 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 575174 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -544, -606, -670, -736, -804, -874?\n\"Answer: -b**2 - 59*b - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*z - 9971*z - 866392 = 2580*z for z.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 835524533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202*f**3 + 767789*f**2 + 92591708 wrt f.\nAnswer: -606*f**2 + 1535578*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -420 and -0.5.\nAnswer: -420.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 615 = 10*j. Let i = -71 + j. What are the prime factors of i?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.3 - 9. Let k = 4.2058 + -2.2058. What is the nearest to 1\/4 in t, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**4\/4 + 8*q**3\/3 - 3*q**2 - q + 1. Let h be (4 - 13)*4\/(-6). Is z(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157.26 * -523.\nAnswer: -82246.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 1 + 56)*(15 + 23 - 76)*(1 - 2 + 2)*(5*h + 0*h - 3*h) as s*h + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 892 + -547. Suppose -a = 9*k - 12*k. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727428419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3\/9 + 4256*v**2\/9 - 60466*v\/3 + 212660 = 0.\nAnswer: -2170, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 7*c + 5. Let h be t(5). Let u(x) = -x**3 - 5*x**2 - 3*x + 3. Let r be u(h). Let d = r + -4. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 + -14 + (-6)\/(-2). Suppose w = -2*m + m + 51. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*f + 67. Solve -z = f - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -255?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let l be k(5). Let w be ((-13)\/130)\/((-4)\/l). Let m = 2.3 - 1.3. Which is the second smallest value? (a) -0.1 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292094505 and 3420.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-72) - 2\/(-4). What is the third smallest value in 0.3, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**3 + 4*c**2 - 4*c + 3. Let y be ((-28)\/8 + 3)*-4. Give m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*o - 0*q - 5*q, -3*o = q - 11. Suppose u = o*p - 31, -2*u + 32 = 5*p - u. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 2*x**2 + (4*x - 5*x - x)*(0*x + 0*x + 2*x))*(-5*x**3 + 0*x**3 + 4*x**3) + 8*x**5 - 2*x**5 - 5*x**5 + 3.\nAnswer: 7*x**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 4) to base 11\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1323598536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 19*c - 3. Let s = 34 - 29. Let w be a(s). Let i be 2 - 3*2\/3. Solve 2*r + w = -5*j - i*r, -j = 4*r - 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (11 - (-1 - (7 + -7 - 7)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 3*u**5\/5 - 25*u**4\/12 - 11*u + 38. Let c(y) be the first derivative of s(y). What is the third derivative of c(z) wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -3*s**2\/2 + 18*s - 5. Let b be c(5). Find the common denominator of b\/(-12) + 434\/(-40) and 7\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*z**4 - 1 - 2*z**2 - 638*z + 56*z**4 + 640*z to the form n*z**3 + m*z**4 + b*z + d + k*z**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 8595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 785549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -299\/2495087 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9015 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245837 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176\/55*(-5)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 113*z - 3*z**2 + 113*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 7*h - 2*b + 22, -20 = -2*h - 4*b. Let l(g) = 1 - h*g**2 + 6 + 20*g**2 - 5. Let n(i) = -9*i**2 - 3. Calculate -3*l(q) - 2*n(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -242221278 divided by 1433262?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 104, 68, 18, -52, -148, -276?\n\"Answer: -i**3 - i**2 - 26*i + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -28. Find the second derivative of -9*f**b + 5*f**3 + 6*f - 2*f**3 wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*n**3 + 1645*n**3 - 7 + 6.\nAnswer: 1879*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4440 and 2040?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*q + 3*s, 0*q + s - 6 = -2*q. Let z(a) = 3*a**2 - 6*a + 10. Is z(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41473 - 24244. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -70*f. Let o(q) = 2*q**2 + 113*q - 8. Give t(o(u)).\nAnswer: -140*u**2 - 7910*u + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 8:23 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*a, 2*a + 31 - 1 = 4*p. Let i be (-8)\/28 - (-324)\/p. Let b = i - 21. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**2 - 15*g**2 - 296*g**3.\nAnswer: -296*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -491209*z**2 - 8*z + 239886 wrt z.\nAnswer: -982418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x - 7. Let j be n(10). Let q = j - -204. Let l(p) = -19*p**3 - 65*p + 2 + q*p + p**2 - 1. Calculate l(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*p - 384*p = -172*p - 1508 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -3. Let u = 3 - p. What is the remainder when 2\/(-3)*30*u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21869928 divided by 2\nAnswer: 10934964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 27*v - 22909. Determine o(-114).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupdpdduddugudduupug. Give prob of sequence pg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 3. Let c be 21*(r + -1 - -1). Calculate the remainder when 39 is divided by ((-4)\/6 - 28\/c)*-7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 278 - 70 = 4*f, 5*f - 271 = 4*w. Let k = -17 + 24. Suppose k = -h + f. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(192))\/(sqrt(32)*6).\nAnswer: sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13588468913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**2 - 4*j**2 + 0*j**2)*(2*j**2 + 3*j**2 - 7*j**2) - 2*j**4 - 3*j**4 + 9*j**4 to h*j**4 + y*j**2 + a + k*j + s*j**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -15*l + 15. Let s(z) be the second derivative of 7*z**3\/3 - 8*z**2 - 12*z. Let h(j) = 3*i(j) + 2*s(j). What is the first derivative of h(c) wrt c?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 1. Let m(a) = -67 + 2*a + 8*a + 60. Let x(p) = -7*p + 5. What is b*m(f) - 7*x(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40931 is divided by 2154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 994129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/96 and 133\/82476.\nAnswer: 659808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2 - 284*x + 2137. What is v(7)?\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, u: 3}. Give prob of sequence uuuj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*t - 42 - 42 = 0. Let x be 147\/15 - (-3)\/15. Suppose n - 5*m - x - 14 = 0, 2*m + 12 = -2*n. Sort n, t, 3, 5 in increasing order.\nAnswer: t, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-9)*-1 + (-7)\/51. Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3175 - -28604\/9. What is the common denominator of y and 58\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -142*y - 13306. Calculate v(-93).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 800849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1393 - 994. Suppose 0 = 3*j + 2*a + 235 + 581, -2*j - 544 = -5*a. Let s = j + m. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4270413?\nAnswer: 3, 7, 203353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.004 and -54077?\nAnswer: 54077.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -107.937 and -0.03?\nAnswer: 3.23811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-306)\/(-120) - (-4)\/(-5))*-4. Let g be (6 + j)*(-20)\/5. What is the greatest common factor of g and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175291, 350598, 525891, 701164, 876411, 1051626?\nAnswer: 1226803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025981 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(209)*1)\/(-2*sqrt(22)\/sqrt(2)) + 5 + -5.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12418 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*f + 9 + 20, -f = 2. What is the remainder when (-84)\/14 - (-38 - -1) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3132241949 to the nearest integer?\nAnswer: 55966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 d when four letters picked without replacement from vedvveevvdde.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29503 - -40979665\/1389. Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-936 - 1702 - 12093*r + 12091*r)*(0 + 3 - 4)*(4*r + 2*r - r).\nAnswer: 10*r**2 + 13190*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-94160)\/528)\/535)\/(2\/5 - 1)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -48. Let t(x) = -56*x**2 - 3*x + x**3 + 57*x**2 + 6 - 3. Give t(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*f = -3, 27 = 2*c + 4*f + 9. Let n = -81.8 - -55. Let b = -19.8 - n. Is b < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 1, w: 1, o: 2}. What is prob of sequence sew?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = -4*q + 78, 2*q - 150*g + 6 = -148*g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -36*z**3 - 55*z**2 + 216*z + 340. Let w be n(46). Round w to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 83 = -6*b + 20 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(112))**2 + (sqrt(130) - (sqrt(130) - sqrt(130)*-2))\/sqrt(10).\nAnswer: -2*sqrt(13) + 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1\/8, 3, -4\/3, -6\/7 in ascending order.\nAnswer: -4\/3, -6\/7, -1\/8, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 - 7*i - 24. Let z be j(-6). What is the units digit of (z\/(-63))\/(3\/28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3 - 36. Let k(g) be the third derivative of -g**4\/12 - 5*g**3\/6 - g**2. What are the prime factors of k(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {d: 3, h: 1, r: 5, t: 5, u: 4, s: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000100010 + -1111?\nAnswer: -10100000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 650 - 653. Let m(b) = -22*b**3 - b**2 - 3*b - 20. What is the tens digit of m(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0 + 0)*(-5 + 3 + 3 + (6 + 6 - 8)*(4 - 1 - 4)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*u = 453*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 7*a + 29 = -3*a, -h = -2*a + 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 96*z**2 - 4038*z + 38. Calculate r(42).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14055, -14049, -14033, -14001, -13947, -13865?\n\"Answer: y**3 - y**2 + 2*y - 14057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7242 - 7239. Sort 152, 1.1, 2\/5, u.\nAnswer: 2\/5, 1.1, u, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzjjqqjqjziijizijq. Give prob of sequence zijq.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooaosooskosoossl. Give prob of sequence lo.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, -23, 3\/70, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 0 + 1\/450*m**5 - 49*m**2 + 1\/225*m**6 - 1\/90*m**4 - 1\/525*m**7 + 0*m + 0*m**3. Factor h(z).\nAnswer: -2*z*(z - 1)**2*(3*z + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1108\/4905 + 2\/545. Let w = 445 - 450. What is the smallest value in w, 3\/5, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 8:34 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - n. Suppose 2*p + 3*p - 25 = n. Suppose -p*g - 16 = -6*g. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16942*m**2 + 19*m + 14. What are the prime factors of q(-1)?\nAnswer: 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21*(3\/(-1))\/((-18)\/(-18)). Suppose 6*b - 213 = r. Calculate the remainder when b is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-16200)\/(-4)))\/(((-10)\/8)\/(-5)).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 1}. Give prob of sequence se.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - 53*s + 32*s + 25*s as v + b*s and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*k + 102044, -k - 18331 = 4*c + 2071. Round k to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -80*q**2 + 1\/4*q**4 + 0*q + 0 - 79\/2*q**3 = 0?\nAnswer: -2, 0, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 10*i - 142. What is w(10)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -180502 take away -0.36?\nAnswer: -180501.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = l - 23, -64*h - 3*l - 3 = -67*h. Sort -168, 0, h in decreasing order.\nAnswer: h, 0, -168","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, d: 3, n: 1}. Give prob of picking 1 n and 1 q.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 3. Let y(d) = -d**2 - 10*d - 8. Let v be y(a). Factor -4*i**2 - 6*i - 2*i - 4*i - v.\nAnswer: -4*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**3\/6 - 23*x**2\/2 + 2*x. Differentiate o(n) with respect to n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.73918 - -0.17292. Let r = -0.0879 - m. Let b be (-10)\/34*(-6)\/15. Sort r, -2, -2\/15, b in increasing order.\nAnswer: -2, r, -2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34048 is divided by 8472.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124 - -114) + (-1 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.526 * -3\nAnswer: -1.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*o - 48, -2*o = -4*h + 5 + 65. Let x be (-86)\/3 + 14\/21. Let k = x - -79. What is the highest common factor of k and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 7 (b) -2\/9 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581720.\nAnswer: 2, 3, 5, 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 6*q. Let y = 6 - 12. Let f be u(y). Find the first derivative of -2*k + f*k - 4 + 2 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2.7 (c) 53 (d) -0.5 (e) -0.6 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -30. Suppose 6*a + 54 = z*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1131376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d\/((d\/((d\/d**32)\/d))\/d))*d*d*d)\/d)\/(d*d\/d**(-2\/35)))**26)**(-48) assuming d is positive.\nAnswer: d**(-1351584\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4777.\nAnswer: 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -882011243*l**2. Let t(k) = -k. What is t(h(w))?\nAnswer: 882011243*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6670 + -7?\nAnswer: -6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1033?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5*53252\/20)\/(3 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*x = -39, 24 = 4*h + x + 2*x. Calculate the greatest common factor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -10\/13, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 402*b - 17 = -407*b, -s = -179*b + 183 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**3. Let n(d) be the third derivative of 3*d**2 + 1\/60*d**6 + 0*d**4 + 0*d**5 + 0*d**3 + 0 + 0*d. Calculate 34*n(f) - 6*v(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 5*u**2 - 18. Let c = 421 + -399. What is the least common multiple of q(-6) and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155720 divided by 229\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0348 - -389.0348. Let i = 388.96 - k. Put 0.06, 0, i in ascending order.\nAnswer: i, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 174 = -2*n, -632*n + 633*n = -8*c - 115 for n.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22294 + 48331. Calculate the greatest common divisor of d and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*c, 0 = 2*x - c - 7 + 3. Let a = x - -5. What is the least common multiple of 3\/((-6)\/(-60) - 45\/(-50)) and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78068584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 442291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvqg when four letters picked without replacement from {g: 2, v: 3, t: 9, w: 1, i: 2, q: 1}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -2, -52, -154, -326?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 6, d - i = -d + 67. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16212? (a) -0.1921 (b) -2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 4, z: 1}. Give prob of picking 2 j, 1 r, and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (n**3 - 5*n**3 + n**3)*(0*n + 0*n + 4*n) + (2*n + 2*n - 6*n)*(n**3 + 4*n**2 - 4*n**2) in the form v*n**2 + z*n + f + l*n**3 + y*n**4 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6064455*x**2. Let t(w) = -2*w. Give t(n(d)).\nAnswer: 12128910*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.18 + 22.98. Put 0.3, o, -32\/5, 0.06, 1 in descending order.\nAnswer: 1, 0.3, 0.06, o, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344*8\nAnswer: -2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 92616 + 2\nAnswer: 92618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -13. Suppose -2*n - 2*n + y = 0. Suppose n*h + h - 8*h - h**2 + 5*h = 0. What is h?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((-788)\/378)\/(-2). Let a be 0 - (9145\/3024)\/(-5). Let h = a + v. What is the common denominator of h and 85\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -2, 0 = 2*u - 5*m + 5. What is the greatest common divisor of 745 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = -365. Suppose d = 5*b - 72. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061612 (base 8) in base 15?\nAnswer: 5a351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 176*l + 238. Let x(c) = -3*c. Let q(s) = -x(s) - y(s). What are the prime factors of q(-7)?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010011011 (base 2) in base 5?\nAnswer: -32303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 + 37 = 0. Let c be 182\/(-70) - s\/(-10). Let m(u) = -3*u**2 - u + 2. Calculate m(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2. Let u(s) = 30*s - 16*s**2 - 13*s**2 + 40*s**2 + 2*s**2 - 15*s**2. What is u(d(b))?\nAnswer: -98*b**4 - 210*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w - 3*c = -2*c + 193 + 219, w - 15*c = -14*c - 13 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**3 - 11*h**2 + 107*h + 10. Let l be s(6). Calculate the highest common factor of l and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v - 4*v - 2*v as z + j*v and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10 - 338\/(-65)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223 + 223. Let c(v) be the second derivative of -4\/7*v**3 + 1\/147*v**7 + 1\/21*v**4 + 8*v + 11\/70*v**5 + q + 2\/35*v**6 - 8\/7*v**2. Factor c(a).\nAnswer: 2*(a - 1)*(a + 1)*(a + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37115 = -1882*v - 9327 + 3156 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 180025338 to the nearest one hundred thousand.\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*m + 107*m - 24 = -4*l, -30 = -m - 5*l. Factor 1\/5*k**3 - 31\/5*k**2 + 0*k + m.\nAnswer: k**2*(k - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 73*o**2 + 219*o + 10582. Calculate k(-72).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11365*r + 250027. Calculate d(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(5\/(540\/429) + -4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201.2251 nanometers to micrometers.\nAnswer: 0.2012251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/20 + u**4\/2 - u**3\/2 - 7*u**2\/2 + 2*u. Let f = -16 + 22. Suppose p = f*p - 25. Calculate t(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/90 + 4 + 628\/(-144). Is -2\/939 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 3. Let y be f(1). What is the second derivative of -32*b**4 - 15*b - 3 + y + 1 wrt b?\nAnswer: -384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 3*g**3 + 6*g + 5 + 3*g**4 + 4*g**3 - 3*g**3 - 5*g + 6*g**2 in the form c*g**2 + a*g**4 + s*g**3 + q*g + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 3:02 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 13*k. Calculate the least common multiple of 10 and n(-11).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 8*k**2 - 3*k - 7. Let c be f(-8). Let i = c + -21. Let b be 0\/((-8)\/i*1) + 2. Solve b*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b**5 + 10900*b**4 + 216684*b**3\/5 + 30716*b**2 - 34672*b\/5 - 25968\/5 = 0. Calculate b.\nAnswer: -541, -3, -1, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*f - 14*f + 55. Calculate the remainder when f + (198 - 2) + -7 is divided by 77.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (0 - (-4 + 6)). Let l(f) = -6*f**a + 196 - 196. Let o(c) = -3*c. Calculate o(l(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10700 divided by 2140?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 148166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipwsppysp. What is prob of picking 1 i, 1 y, and 1 s?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l*u**2 + 854187*l*u + 7960*l + u**2 - 3201 wrt u?\nAnswer: 8*l*u + 854187*l + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5, -228, 6, 3 in descending order.\nAnswer: 6, 3, 0, -4, -5, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.97 - -27.1. Let l = f - 0.83. Let b = -0.2 + -0.2. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqq when three letters picked without replacement from qllqlqqlqlllll?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29114120, 29114121, 29114122, 29114123, 29114124?\nAnswer: 29114125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4368439, 4368422, 4368405?\n\"Answer: -17*f + 4368456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 76.62423s?\nAnswer: 76624230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17760 and 16650?\nAnswer: 266400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 35 = -10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2933 = -4*a - 5*d, 5*a - 2220 = 2*a + 3*d. Let w = -744 + a. Let h(l) = -l**3 - 8*l**2 - 8*l + 8. Determine h(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 27\/2*m**2 + m + 1\/60*m**5 + 19\/36*m**4 + 11\/2*m**3 - 5. Factor z(j).\nAnswer: (j + 1)*(j + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 1\/3*l**3 + 0*l - 1 + 0*l**2. Let s(o) = -o**3 + o**2 - 2. Determine 3*j(n) - s(n).\nAnswer: n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.39348 - -652.41652. Let y = 657 - m. What is y rounded to one decimal place?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0246 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3854, 3844, 3820, 3776, 3706, 3604, 3464, 3280?\nAnswer: 3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498977*m + 3 - 1843908*m - 3.\nAnswer: -2342885*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*3\/((-15)\/20). Sort -5, 3\/4, c, 1\/3 in descending order.\nAnswer: c, 3\/4, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 232711*p - 234480*p to w*p + d and give w.\nAnswer: -1769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279585.111 + 699.\nAnswer: -278886.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723.43035 rounded to 0 decimal places?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 14060*o + 42216 = 0. Calculate o.\nAnswer: -3, 3518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2334, 7, -4, 1, -2, 2 in descending order.\nAnswer: 2334, 7, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374\/17 < 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.089*-92\nAnswer: -8.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - h = -5*h - 20, 4*i - 4*h + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10503?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 + 6*h + 34. Calculate c(-4).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11945 and 50169.\nAnswer: 250845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o. Let d be x(4). Let a = 0 - d. Solve f - 5*f - a = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/2 + 10*g**4 + 25*g**3\/2 - 355*g**2 + 910*g - 676 = 0.\nAnswer: -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**6)**4 assuming i is positive.\nAnswer: i**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 13.98?\nAnswer: 11.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**29)\/(n*n\/(n\/(n*n**(6\/13))*n*n*n)*n*n*n))\/(n*n*n**(-4\/3)*n*(n*n*n\/(n**(-32)\/n)*n)\/n*n) assuming n is positive.\nAnswer: n**(-2696\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000056867 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 395596943 to the power of 1\/3, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2645 and 10.\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-203)\/348*(-16)\/28*-36?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1135753 * -0.3\nAnswer: -340725.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12191405 is divided by 233?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 95*x**2 - 1335*x + 311. Let c be u(-17). Let z be (-12)\/(-5)*(-80)\/(-6). Calculate the highest common factor of c and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16*o**3 - 30*o**2 - 36*o. Let l(k) = -3*k**3 - 6*k**2 - 7*k. Let u(c) = 2*h(c) - 11*l(c). Let s be u(-5). Solve -z = -s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1904)\/(-476)*(-10)\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 38295, 3\/2, -0.02?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303 and 24831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u - 3. Let t(m) = -m**3 - m**2 - 6*m + 10. Let r be t(2). Let p(g) = 46*g - 14. Give r*x(y) + 3*p(y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30683900724.499332 + -30682277684. Let x = 1623078.8 - w. Let u = -38.3 + x. What is u rounded to five dps?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(392)*3) - sqrt(18)\/(-4*sqrt(729)))**2 + 2.\nAnswer: 63865\/31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109393.6 rounded to the nearest 1000?\nAnswer: 1109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9066\/10 - (-2)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lljq when four letters picked without replacement from ljlqljlql?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -13.966. What is d rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o = 20*o - 3*j + 22, -2*o + 4*j = -14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/13 + -21\/52. Let m(l) = -7*l**2 + 50*l - 6. Let k be m(7). Sort 2\/5, x, k in decreasing order.\nAnswer: k, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11505 - 6316. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 217958068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 = -5. Let l = 3 - r. Suppose -42 + 207 = l*h. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 - 5*z**3 + 4*z**3)*(3 - 3 - 10) + 393315*z + 27*z**3 - 393315*z - 17.\nAnswer: 47*z**3 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 2*f**2 - f**2)*(-7*f**2 + 4*f**2 + 4*f**2 + (-4 - 3 + 5)*(4*f + 2*f**2 - 4*f) - f - f**2 + f + 0*f**2 - f**2 + 2*f**2 - 1 - f**2 + 1).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 17*w**2 + 2909*w + 3. Let t(s) = 2*s. What is l(t(y))?\nAnswer: 68*y**2 + 5818*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 33. Let g be 9\/2 + 2\/(-4). Suppose -g*y - 4*f = -y - 34, 0 = f - 4. Calculate the remainder when z is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4*g - 4)*(-2 + 5 - 1)*(-g - 4*g + 3*g)*(-2 - 6*g + 2 + (-1 + 4 - 1)*(0*g + 4*g - 2*g)) in the form u*g + o + a*g**3 + t*g**2 and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((30\/9)\/(-5)*3)\/(-5). Put k, 0.2, -3.3 in decreasing order.\nAnswer: k, 0.2, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4590016, 3\/10 in decreasing order.\nAnswer: 4590016, 3\/10, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-364)\/490 + (-40)\/(-25)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b**2 - b + 9800. Suppose 4 - 2 = l - 2*p, 3*p = -4*l - 3. Let s be a(l). What is s rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = 3*y. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 608\/7 - 87. Let n = 5.39 - 6.39. What is the third smallest value in h, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171011687?\nAnswer: 3, 3253, 119993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-7 - -19 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f. Let w = -1 - -2. Let k(y) = -734*y**2 + 5868*y + 27. Let t be k(8). Sort -1\/5, w, t, f in ascending order.\nAnswer: t, -1\/5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -188 (b) -5\/2 (c) 8 (d) 1 (e) 0.122\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxoxoovovo. Give prob of sequence vx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 193*p**5\/5 + 151*p**2\/2 - 177. Find the second derivative of t(i) wrt i.\nAnswer: 2316*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-663)\/(-44) + 2\/11 and -49\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-60)*-135*(-71)\/(-6390).\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1428\/(-210) + 4773\/185\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - a?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 59, -107, -5, 5 in decreasing order.\nAnswer: 59, 5, -5, -31, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5800*b**2. Let h(p) = 44965*p**2. What is k(h(t))?\nAnswer: -11726737105000*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 6855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 13 = -5*d, -2*b + 5*d + 8 = 15. Solve -2*u + 4*w + 8 = 24, b*u = -5*w + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 167338.5 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -24*d + 3. Let m be h(-7). Let w(l) = 2*l + 13. Let y be w(3). Calculate the greatest common divisor of y and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38326 - 13164 - 11989 - 7*a - 13173.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2650\/3 + 884. Let t = 0.53 - 0.91. Let k = t - -4.38. Which is the closest to -1? (a) k (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 - 3) + -5 + 2 + 2. Let o be (-2)\/(-7) - (-4 - a\/21). Let t(j) = -j**3 + 11*j**2 - 11*j + 7. List the prime factors of t(o).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 88 - 82 = 0. What is the common denominator of 1578\/459 + 4\/y and 8\/(-84)*(-6 - 0)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -263737.152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/20))**(1\/50)*(r*r\/(r*r*r*r*r**(-31)))\/(r**(-1\/32)*r) assuming r is positive.\nAnswer: r**(112129\/4000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k + 12. Find the third derivative of c**2 - 4*c**3 - 5*c**2 + k*c**3 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047733 rounded to four decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212602*m**3 - m + 212647*m**3 - m + 2*m.\nAnswer: 45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + o + b - 9, 4*b - 18 = -2*o. Suppose -4*f + 3*k - 3 + 11 = 0, -k = -o*f + 6. Find the common denominator of (86\/(-4))\/(6 - f) and -73\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(2*l + 7*l - 3*l) + 0*l - 3*l + 5*l + (2*l - 2*l + l)*(-2 + 0 + 3) - 2*l - 6*l - 6*l in the form p*l + j and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.168 litres in millilitres?\nAnswer: 295168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, l: 1, v: 6, u: 2, w: 2, z: 1}. What is prob of picking 1 w and 1 u?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {u: 1, r: 3, i: 2, b: 2, j: 4}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3436.\nAnswer: -1\/3436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792017245?\nAnswer: 3, 5, 139, 1339097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 570. Let u be g(0). Suppose 0 = -2*k + 7*k + u. What is k rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -299 - -304. Solve -2*f = u*p - 6*f - 25, -5*f = 3*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 16 = 3*t. Let q(o) = -o - 1. Let x be q(t). Solve w - 4*h + 1 = -0*w, -x*h - 3 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5, 0*d + 3*f = -3*d - 12. Let x(t) = -9*t - 58. Let w be x(-6). Let q = w - d. Solve -q*c = 14 - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (-2 + sqrt(108))) + -5 + (sqrt(9)\/(1*sqrt(3)) - (0 + sqrt(3) + -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 16*c + 2. Let i be h(-16). Let f be ((1 - 4) + 0)\/(i + -3). Suppose -f*t - 72 = -o, -t + 5*t = -5*o + 455. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/15))**(-42)*(f**(-2\/7)\/f)**(-4\/7))**(-5\/12) assuming f is positive.\nAnswer: f**(-388\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -5012?\nAnswer: -5012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -18\/7 in descending order.\nAnswer: -0.3, -2, -18\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 959280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1388 - 12491\/9. What is the closest to -1 in c, -0.1, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 2*h - 4. What is the units digit of w(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1036 + 36226\/35. Does o = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3811 = 2*d, 5*d = -7*j + 4*j + 9450. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nllnn. What is prob of picking 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**9\/52920 + g**8\/70560 - g**5\/30 + 2*g**2. Let w(k) be the third derivative of s(k). Solve w(m) = 0 for m.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24710 to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17013, -33609, -50203, -66795, -83385?\nAnswer: -99973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*u + 12. Solve -5*f = -0 - u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698 a factor of 125280138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d. Suppose -l = -z - d*z, 3*l - z = 6. Let j(i) = -5206*i - 36441. Let k be j(-7). Solve -l*f = 5*y - 2 - k, 14 = 2*y - 2*f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262640?\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 271*l**2 + 4*l - 4. Give w(1).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 267 (base 8) to base 9\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8374 and 34602?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**4 + 774*v**3 - 92400*v**2 + 4471936*v - 76919808 = 0.\nAnswer: 56, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-4)*f)*f)**(15\/2)*f\/(f\/f**(-1\/2))*((f*f**(-1)*f*f)\/f)\/f)**(-4\/5) assuming f is positive.\nAnswer: f**(-118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8304 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4441239nm?\nAnswer: 0.0000004441239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1459419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -74054024, -74054034, -74054058, -74054102, -74054172, -74054274?\n\"Answer: -l**3 - l**2 - 74054022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - a**2 - 18*a + 22. Let p(w) = 4*w**3 - 4*w**2 - 73*w + 91. Let g(j) = -9*m(j) + 2*p(j). Determine d, given that g(d) = 0.\nAnswer: -4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/(-198)*16\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/42 + (-94)\/14. Let n = -5 - l. Suppose 3*m - 75 = -2*m + u, n*u = 0. Calculate the highest common factor of 30 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**23*f*f**(16\/3)*(f**(-5))**(9\/10) assuming f is positive.\nAnswer: f**(155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 - 9*y**2\/2 - 7*y + 5. Determine l(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 530*g - 20. Give q(-1).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 86*p**2 + 83*p + 5. Let a be j(-1). Solve -4*z + 13 + 0 = k, a = 4*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 229 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/75 and -145\/18463338?\nAnswer: 461583450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 296381694\/1470*(1\/(-3) + (-16)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 3, 17\/9?\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -9 + 6 + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (638\/1595)\/(35\/275)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 + 30 = 5*l. Let v = 15 + l. Suppose v*b - 9 = 1. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((4*2*sqrt(204) - sqrt(204)) + sqrt(204) + -6*sqrt(204)*2 + sqrt(204)))\/(((sqrt(120)*-1)\/sqrt(10) + (sqrt(12) + sqrt(24)\/sqrt(2))*6)*6).\nAnswer: -5*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226167109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + v - 1. Suppose 5*u = 5 + 5. Suppose 4*p = 3*p + u. Calculate f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8939, -17892, -26857, -35834, -44823, -53824, -62837?\n\"Answer: -6*o**2 - 8935*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -548074, -548065, -548050, -548029, -548002, -547969?\nAnswer: -547930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-156)*30*(-12)\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from nonooon.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v + 3. Let r(j) = 4*j - 4. Let t(q) = 5*r(q) + 6*x(q). Differentiate t(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/2 - -4) + 6 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**5 + 5056*d**4 - 660870*d**3 + 21067452*d**2 = 0.\nAnswer: -2654, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1729 + 1080. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 53944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 0.1, -0.1496, 0.5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 - 257*q + 198. Give h(-86).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) -1 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 0.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144.9 + 239.9. Which is the third smallest value? (a) -1 (b) x (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68 - 2093\/28)*40\/(-6)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (0\/2 - 11). Let i(c) = -c**2 - 7*c + 3. Let o(m) = -m**2 - 7*m + 1. Let k(j) = 2*i(j) - 3*o(j). What is the tens digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 19, 29, 39?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051666?\nAnswer: 2, 59, 17387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22920435 and 3395620?\nAnswer: 91681740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.37 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.686 times 176?\nAnswer: -120.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -34\/9?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.56 + -2.09. Let i = -200.9258 + 199.395899. Let x = q - i. What is x rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x. Let l(o) = -o**2 + 12*o + 1. Let t(a) = 22*h(a) - 2*l(a). Is t(2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965395559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -6.\nAnswer: -9, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(-5) + (-8)\/(-20). Let f(t) = 8*t**3 - 2*t**2 + 3*t + 2. Is f(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 22. Let y be -1 + s + -1 + -3. What is the third derivative of -2*p**5 + 9*p**y + 0*p**5 + 9*p**5 + 13*p**2 wrt p?\nAnswer: 960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -12*n**2 + n + 1. Let y be m(-1). What is the units digit of (1\/2)\/((-2)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*x + 277*x = 14672. What are the prime factors of x?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/6 and -45\/151?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1060)\/(-175) + (-4)\/70\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*d - 1680 = 5*d, 1372 = 4*k + 3*d. Let o be 5 - (8 - 4 - 2). What is the second derivative of -k*z**3 + 340*z**o - 18*z**5 - 6*z wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-3) - -2)\/((-24)\/324). Solve q = -5*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-4\/3)*f*f*f*f**6*f*f)**(-14)*(f\/(f\/(f\/(f\/((f*f**(-5))\/f)))))\/f**(-4\/3)*((f**3\/f)\/f)\/f*f**(-3\/4) assuming f is positive.\nAnswer: f**(-615\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -0.3894, -9 in ascending order.\nAnswer: -9, -0.3894, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28986*r - 7684*r + 2676910 for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = v - 4*g, -4*v + 3*g - 346 = -353 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**5\/60 + 7*i**4\/24 + 4*i**3\/3 - 2*i**2. Let z be g(-6). Which is the closest to z? (a) -0.3 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/12788 + 1597\/6394. Let z = -3 - -9. What is the biggest value in c, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -4*sqrt(363)*4 + 1 + sqrt(363) + 0 + 4*2*sqrt(363))*3)**2.\nAnswer: -16632*sqrt(3) + 640656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 216.99897. What is a rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16934845 divided by 41.\nAnswer: 413045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8*14\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 + 2 + 11. Let a(w) = 3*w**2 - 3*w - 2. Let c be a(-1). Solve c*k - v = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-405))\/1)\/((-5)\/(-15))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + -139\/3. What is the nearest to b in 1\/7, -5, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let z(k) = -3 + 1 - 15*k + 1. Suppose -12 = -18*c - 30. Let s(m) = c*z(m) + 5*h(m). What is the derivative of s(o) wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35.0144 + -7.4\nAnswer: 27.6144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -14*v**4 - 238*v**3 + 3968*v - 5120 - 176*v**2 + 1\/2*v**5 = 0.\nAnswer: -8, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 1\/4, 1.4, 0.57, -2\/13 in descending order.\nAnswer: 1.4, 1, 0.57, 1\/4, -2\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/(-55))\/((-5)\/200)*(-1 - -2). Sort 91, -0.5, y in increasing order.\nAnswer: y, -0.5, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 4, t: 2, f: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*h + 2 = 0, 3*o - 2*h + 10 = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + 1*(1 + sqrt(304)*3 - sqrt(304)))**2 + 2.\nAnswer: 32*sqrt(19) + 1227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36782 and 1614221?\nAnswer: 1120269374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(95)*1)\/(-4*(sqrt(5)*-3 + sqrt(5))).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (-12)\/(-3)) + 60\/16. Put -6, m, 4 in decreasing order.\nAnswer: 4, m, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (12 - (6 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 26509476?\nAnswer: 79528428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7570*y + 2. Let p be t(-1). Suppose a + 5*a - p = 0. Suppose -13*z + a = -11*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiimvmmmggghgiih. Give prob of picking 2 h, 1 m, and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3535 + (7 - 10 - -11)?\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2871 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/62947 and -13\/13252.\nAnswer: 251788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -1\/6*f**4 + 0*f - 1\/6*f**3 + 0 - f**2. Give z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2160964 and 2347254.\nAnswer: 136140732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14289*g**4 + 2*g**3 - 12*g + 946.\nAnswer: 171468*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)\/i**(-1)*(i**2\/i)\/i*i*i**2 assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 0.36 (c) 0.01966\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/19 in 0.3, 0.03, 278?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-7) - 2)\/((-25512)\/(-89292))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157899966?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 - w + 1. Let s(u) = 8*u**3 - 5*u**2 - 7*u - 5. Let l(k) = 5*b(k) + s(k). What is the second derivative of l(v) wrt v?\nAnswer: 78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/15072 and -25\/6594.\nAnswer: 105504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35337607.\nAnswer: 35337607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*f**4 + 59*f wrt f.\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -1550700080.\nAnswer: -1550700082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3974351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 326 + -338. What are the prime factors of (-38055)\/(-90) - 2\/x - -4?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 3516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-3 + 4)*1. Solve -3*a = c - 5, 3*c + 4 = -3*a + i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 12 = 172. Solve 6*u = 2*u + h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 318. Let r(z) = 17*z**2 + 37. Calculate r(f(b)).\nAnswer: 17*b**2 + 10812*b + 1719145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021 = -29*m + 818 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7 = -3*q, -2*s - 3*s + 12 = 2*q. Sort 10, -1, s in increasing order.\nAnswer: -1, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - -8) + (-6 - (1 + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6295 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-11))\/(115\/46)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005435272918 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 754281*a**5 - 818523*a**2?\nAnswer: 45256860*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4\/5*d**5 + 912\/5*d - 1124\/5*d**3 + 48*d**4 + 1304\/5*d**2 - 352 = 0.\nAnswer: -1, 2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1042*d + 2 + 80*d**3 - 6 + 40*d**3 - 1044*d as l*d**2 + i + g*d + w*d**3 and give w.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5657382691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) 0.3 (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670 - 2*s**2 + 2745 - 681 - 663 - 699 + s**2.\nAnswer: -s**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.511 + -0.011. What is the fourth smallest value in t, 1, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(70) + sqrt(70) + sqrt(70)*-2))\/(sqrt(10) + (sqrt(120)*2)\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3) + (-1 - -2). Let k be (-3 - w) + -3 - -5. Solve -25 = k*z + 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.45, -6, -3\/5, 3\/2 in ascending order.\nAnswer: -6, -3\/5, 0.45, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-15)\/7 + 0 + 2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/22944 and 17\/14?\nAnswer: 160608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6176719 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/3 + 60361*z**4\/3 - 241433*z**3\/3 + 301787*z**2\/3 - 40238*z = 0.\nAnswer: 0, 1, 2, 60357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2086 - -2083. What is the nearest to 0.3 in h, 0.08, 0, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 109*h + 64. Let i(q) = 55*q + 39. Let d(y) = -3*g(y) + 5*i(y). Let o(l) = -2*l. Determine o(d(v)).\nAnswer: 104*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -622770, -32 in descending order.\nAnswer: -4, -32, -622770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 6219.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4872221291 to the power of 1\/2, to the nearest integer?\nAnswer: 69801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/((-70)\/(-7)) + 1392.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f + 49*f = 3*a - 7, -8*a - 5*f - 4 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyqyyyyyyqyyyqyyyqy. Give prob of sequence qyq.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123772*o**5 + 2*o**4 + 3*o**3 + 8703*o**2 + 30 wrt o.\nAnswer: 7426320*o**2 + 48*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -968904 + 968904 + 3869*g**2 - 2*g**2 + 0*g**2 + 3*g**2 + (2*g - g + 0*g)*(-2*g + 3*g - 3*g) to the form i + v*g + a*g**2 and give a.\nAnswer: 3868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + w**2 - w + 8*w**3 - 2*w**2 - 6*w**2 as r*w + y*w**3 + a*w**2 + i and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14 - (-16 + 116))*-223?\nAnswer: 2, 43, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -48*g**2 - 13*g - 3. Let s(b) = -93*b**2 - 31*b - 7. Give -5*i(c) + 2*s(c).\nAnswer: 54*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3 - 4512*s**2 - 21957*s + 791472 = 0.\nAnswer: -1499, -16, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/30)\/((-6)\/15). Suppose r = 6*r - 15. Let p = 0.0445 + 0.1555. Which is the third biggest value? (a) s (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2355.5+0\nAnswer: -2355.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + y - 15. Let c be h(5). Suppose c*l - 32*l = 1272. 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 3 - (-3 + (5 + 4 - -11))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35968292 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 342 - 373 = -2*g, -u = 5*g - 32 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12\/11 (b) -1 (c) 4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + 328?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143 + -107. Let k(z) = -36*z + 58*z - r*z. Let s(v) = 3*v. Calculate k(s(i)).\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631750400 is divided by 13403?\nAnswer: 13398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.07295 - 35.4. What is f rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.046 + -1.146. Let t = -11 - -43\/4. Which is the closest to 1\/4? (a) s (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6623 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**47\/(n**(-2))**(-29\/4) assuming n is positive.\nAnswer: n**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12.7*1.514\nAnswer: -19.2278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.46 (b) -1 (c) 0 (d) -110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7383288l in millilitres?\nAnswer: 738.3288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3328 and 7176?\nAnswer: 229632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = f + f. Let y be (12\/(-10))\/((-32)\/f). Suppose v + 13 = -y*a + 5*a, 0 = v + 2*a - 3. Let o(w) = -w**2 - 6*w - 2. Give o(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 33796251959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -672386 times 0.3\nAnswer: -201715.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-7)\/2)\/(5\/10) - (-66)\/36\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 2*f - 5*f)*(-36 - 41 + 75).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2*2\/48). Let n be p\/10 + (-4)\/10. Let k be 3\/(-24)*n*1. What is the nearest to k in 3, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 2*x**2 + 4*x - 3. What is s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + 5*(-2*sqrt(85) - sqrt(85)) - sqrt(85)))\/(sqrt(180)*-3) + -3*(-5*(sqrt(17)*2 + sqrt(17))**2 - (0 + sqrt(612))).\nAnswer: 154*sqrt(17)\/9 + 2295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 - 12 = 0. Which is the third smallest value? (a) 0 (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 182329488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (6 - (14 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(170) - -2*sqrt(170)) + sqrt(170) + sqrt(170) + sqrt(170))*4)\/(sqrt(810)*-2*-4))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 5:30 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 - 2*v**2 + 2*v. Let b be u(1). Let q(w) be the first derivative of -1\/3*w**3 + b - 1\/4*w - 5\/8*w**2. Suppose q(r) = 0. Calculate r.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1418, 2670, 3810, 4838, 5754?\n\"Answer: -56*c**2 + 1420*c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdd when three letters picked without replacement from {d: 4, m: 5, n: 7}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eelelel?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6*18\/15. What is the biggest value in 1\/2, s, -0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.1. Let y = n + -1.2. Let r = -0.01 + -2.99. What is the smallest value in r, 2, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009223339?\nAnswer: 47, 149, 211, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 2085.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (523 - 559*v**2 - 523 + (-5 + v + 5)*(v + 3*v - 3*v))*(0*v**2 + 3*v**2 - v**2).\nAnswer: -1116*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**2\/2 + 3*y - 2. Suppose -u + 4 = -3*v, 2*u + v - 8 = 5*v. Calculate c(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 - (183726\/756)\/(-59). Solve -5\/2*b**2 + n*b**3 - 23\/6*b + 5\/3 + 5\/6*b**4 = 0.\nAnswer: -5, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/12*(-60)\/(-200).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400.5115kg in milligrams?\nAnswer: 400511500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -3\/56 (c) -0.6 (d) -443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*n + 16*n - 13*n**2 - 6*n + 6*n + 8*n**2 + (4*n**2 - 4*n**2 - 2*n**2)*(11 + 14 + 8) + 0 + 0 - n**2.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 186*m + 2439 + 140 + 2111 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**8\/2 - 25*x**4\/12 - 11*x - 20. Let a(p) be the first derivative of g(p). Find the third derivative of a(i) wrt i.\nAnswer: 3360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/1607 - 97931\/19284. What is the common denominator of (-6893)\/1830 + (5 - 1) and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170 divided by 5\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 4*s)*(0*s + 390 - 18*s + 20*s).\nAnswer: 10*s**2 + 1950*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3327068 times -13.1?\nAnswer: 43584590.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 734924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6333504 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -52682, 4, 3\/5, -1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197617 is divided by 13174.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s. Let j(h) = 5874034*h. Give j(n(k)).\nAnswer: 23496136*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/11)\/((-4)\/44). Solve -15*d - 5*d = -o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 8*j**7\/105 + j**4\/6 + 4*j**2. What is the second derivative of w(h) wrt h?\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let q(j) = -176*j - 29*j**2 + 180*j + 46*j**2. Determine d(q(n)).\nAnswer: -34*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qdxxdqqxx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -4*n + p, n + 0*p - 65 = -3*p. Suppose -n = -3*z - 2. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12539240 by 11785.\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112110 - -211210?\nAnswer: 1101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/392 and 27\/7904.\nAnswer: 387296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -887, -899, -911, -923, -935, -947?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6624589628.\nAnswer: 2, 19, 23, 3789811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -46. Suppose 2*i + 0*i - 22 = -4*q, 4*i = q + 62. What is the least common multiple of i and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1182, -1181, -1180, -1179, -1178?\n\"Answer: w - 1183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-30)*12\/(-2008). Let g = -488\/1757 + t. Which is smaller: g or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**3\/11 - 39738*t**2\/11 + 1188090*t\/11 - 8900550\/11.\nAnswer: 6*(t - 6593)*(t - 15)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9749568 litres to millilitres.\nAnswer: 974.9568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + c = -13*r - 3, 0 = -3*r + 4*c - 9. Are r and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + y)*((0 - 8 + 1)*(20 + 49 - 23) + (0 + 0 - 1)*(-2 + 2 - 2)).\nAnswer: 640*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from booosobooooobb. What is prob of sequence sbo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 23\/5 (b) 0.3 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/15 + 22\/3. Suppose -x = 2*n - 3 + 2, 3*x + 4*n - b = 0. Find the first derivative of -5 - 1 + 3 + x*v - 1 wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 3*k**2 - k - 14. Let w(i) = -i + 12. Let r be w(6). Let d be j(r). Suppose -v = 10*v - d. Calculate the lowest common multiple of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.189 - -0.189. Which is the closest to 2? (a) -0.4 (b) 0.5 (c) o (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.84 - 1805569863566?\nAnswer: -1805569863567.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564 divided by 4.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 613059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 17*d**5 + 8*d**4 + 8*d**3 - 4*d. Let n(s) = 6*s**5 + 3*s**4 + 3*s**3 - s. Let h(v) = -8*n(v) + 3*t(v). Find the second derivative of h(j) wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 58.109. Let a = -6 + 5.1. Let v = a + j. Round v to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -5\/3*f**3 + 0*f + 37 + 0*f**2. Let j(d) = 3*d + 5 + 2 - 7. Give j(k(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1\/6)*i))\/(((i*i**3\/i)\/i)\/i))\/((i*i\/(i*i**(1\/8)*i))\/i**2) assuming i is positive.\nAnswer: i**(7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397903.\nAnswer: 11, 61, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -581274 divided by 290637\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/120 - 7*s**4\/24 + s**3 - 105*s**2. Let z(x) be the first derivative of m(x). Determine z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i - 6. Let m(x) = 2*x - 1. Let b(j) = 2*g(j) - 11*m(j). Does 10 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6102 - 102231?\nAnswer: -111333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 48, -0.02, 4\/25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145372673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2) + (28 + -1 - (3 + 23 + -8))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -42. Let m = p - 9. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(3*f + f - 2*f) + 5*f + 17 - 17 - 2*f + 2*f + 2*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:05 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -279 divided by -279\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240542218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (-5*sqrt(833) + -2 - sqrt(833)))**2.\nAnswer: 196*sqrt(17) + 40821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138761 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 14 = 2*i. Suppose -2 = -i*a - 11. What is the remainder when (-315)\/a + 4*-1 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2361.96598 and -0.02594.\nAnswer: -2361.99192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 9. Suppose -3*o + 3*k + 12 = 0, 16 = o - 3*k + 2. Let t(q) = 7*q**3 + q**2 + q + 1. Let l be t(o). Give j(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 3588*f + 7164.\nAnswer: 3*(f + 2)*(f + 1194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172329606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.15 - -0.14965. What is g rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 5 - 2)*(6 - 2 - 3) - 34 + 153 + 2 + 56)*(-v**4 + 0*v + 0*v) as y*v + m*v**4 + a + l*v**2 + s*v**3 and give m.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 7 (c) -13 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {z: 3, m: 1, o: 1, p: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 7*b**2 + 9*b - 9. Determine r(-6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15351642 (base 9) to base 14.\nAnswer: 1032591","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Collect the terms in -279 + 803 - 250 - 274 + 234*r.\nAnswer: 234*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 - -137. Let t = w + -11.5. Let k = t - 7.49981. What is k rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/(8\/(560\/(-21)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2021 - -3223. Suppose -2*l - 2*l = -2*v - n, 5*l = 5*v + 1505. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9034700 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 57379?\nAnswer: 229516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 greater than 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 777189 divided by 833\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 52115.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 1. Let y(d) = 3*d - 3*d - d + 1. Let i(g) = -2*l(g) + y(g). What are the prime factors of i(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 2, j: 2, n: 5, b: 1, h: 2}. Give prob of sequence hnjo.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 802 and 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141.7 + 177.3. What is q rounded to 0 dps?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let p = -4 - g. Let m = p + 8. Solve -5 + 1 = -m*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 - 10*z. Let f be t(-5). Solve 4*c = -f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o = -736 + 556 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:04 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/156 and -89\/280?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*f + 12 = 2*g, -3*g = -4*f - 52. Suppose 2*b = -2*b + g. Let d(n) = -5*n + n + 2*n**2 - n**2. Determine d(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 231343053?\nAnswer: -231343060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -228 - -232. What is the closest to 0.12 in k, 3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*d, 5*t + 11*d + 9 = 5*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/3)\/(6\/18). Solve c*a + 1 = 6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244434 to the power of 1\/2, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c13 (base 14) in base 2?\nAnswer: -101010001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5344*i**4 - 3419*i**3 - 38105952*i**2?\nAnswer: -128256*i - 20514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -271, -1048, -2333, -4114, -6379, -9116, -12313?\nAnswer: -15958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 14*z - 9. Let r(c) = -2*c - 7. Let x(s) = -8*s - 28. Let g(t) = z*r(t) - 2*x(t). Calculate g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 14*n - 3 - 6*n)*(4 - 2 + 0 + (-1 - 3 + 1)*(3 + 2 - 3) - 4 + 0 + 5) in the form i*n + q and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a, -a + 214 = 4*y + 2*a. Suppose 4*t + y = 615. What is the greatest common divisor of 35 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -8032.2402832.\nAnswer: -8031.8402832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -3*i + 4*u + 4, 5*u = -5*i + 30 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 - (-1 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5 + 35472*l**4 - 78357136*l**3 - 1260532992*l**2 - 5051229184*l.\nAnswer: -4*l*(l - 4442)**2*(l + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -415.7 - -415. Which is the closest to -18? (a) y (b) 2\/5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -109789*f**4 - f**3 - 16231*f**2 - 2*f + 13.\nAnswer: -2634936*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -19\/6, -0.1, -1?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, -78, -76, -74, -72, -70?\n\"Answer: 2*y - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*i - 0 + 39 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(-45)*o**(7\/2)*o*o\/o**(1\/5)*o assuming o is positive.\nAnswer: o**(1341\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -15*s + 49. Let t be f(13). Let o = t + 148. Factor 1\/3*y**o - 2\/3 - 1\/3*y.\nAnswer: (y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 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: Which is the closest to -2\/5? (a) 0.3 (b) 0.2 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 6*p**2 + 6*p + 3. Let n be r(-5). Let z be (n - -1)*-1 - -2. Calculate the remainder when 29 is divided by z\/((-12)\/(-64) - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 265? (a) 27 (b) -0.5 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -650418 - -56?\nAnswer: -650382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9039 + -9037. What is the closest to p in -1, 2\/7, 0.4, -742?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*n + 65174237*f - 1188501*n with respect to n.\nAnswer: -3*f - 1188501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2549852 to the nearest integer?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8200 - 8197. Put -0.07, -89, t in ascending order.\nAnswer: -89, -0.07, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427 - 4*s - 4*s - 3*s + 9*s.\nAnswer: -2*s - 427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -20150?\nAnswer: 20149.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/5 (c) -61 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-313327)\/10)\/(-7) - ((-6)\/(-60) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564958663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(4\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-1)\/3*-6. Let g = 10 + m. Let j(a) = -5*a**2 - 4*a + 7. Let u(l) = 6*l**2 + 4*l - 8. Let i(d) = 7*j(d) + 6*u(d). Determine i(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -87, -112, -135?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:51 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -629, -1574, -2541, -3542, -4589, -5694, -6869?\nAnswer: -8126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6*g - 19*g - 56*g.\nAnswer: -69*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 494609110 and 395687288?\nAnswer: 1978436440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9528*h**3 + 7949*h**2 - 21*h. Let l(p) = 4764*p**3 - 3976*p**2 + 9*p. Let j(t) = -3*i(t) - 7*l(t). Find the third derivative of j(r) wrt r.\nAnswer: -28584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 81*n - 126. Let a be d(-42). What is the third smallest value in 2\/5, -10, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*u - 4*s - 1, s = -5*u + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-8)\/(-12))\/(8*5\/100)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 526 and 14991.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003884 rounded to six dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 - 3.89. Let s = o + 7. Let z = -2.999976 + s. What is z rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 14 - 20*z + 35.\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ad13 (base 15) in base 12?\nAnswer: 19299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/1)\/(3 - 4). Let f be (-15 - (2 - (i - -3)))*-1. Let u be (-432)\/(-3) + -1 + 1. What is the highest common divisor of u and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z. Let k be u(-4). Solve -3*m + m = 3*l + k, -3*l = -2*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose -2*g + 18 = t*f, -f = 8*g - 3*g - 19. Let i be 5 + 0 - (5 - g). Solve 0 = i*q - 4 + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:16 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3244 divided by 4\nAnswer: -811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhhhhvhvvhhavhhvh. Give prob of sequence ah.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - b**2 + 3)*(-12 + 1 + 2)*(6 - 4 - 6)*(2 + 4 - 30).\nAnswer: 864*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + 5*r**2 - 6*r + 5. Let a(u) = -u - 2*u**3 + 6*u**2 + 11 - 7*u**3 + 5*u**2 - 12*u. Determine -6*a(m) + 13*w(m).\nAnswer: 2*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -79, -118, -157?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27+787952333.44\nAnswer: 787952360.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 48*t**2 - 17*t + 135. Give h(5).\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 2, -1\/3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 19. Let a(x) = 0*x + 1 + x - 3 - 4*x**2. Let t(g) = -g**3 + g**2 + 1. Determine z*t(o) + a(o).\nAnswer: -2*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394099202, 394099200, 394099198, 394099196, 394099194?\nAnswer: 394099192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6918 + 69*f**5 + 6918 - 223*f**5 + (-4*f + 2*f + f)*(4*f**4 - 3*f**4 - 2*f**4).\nAnswer: -153*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -17.34. Let o = k - 12.66. Let g = -9 - o. What is the smallest value in g, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1 - 317*z + 317*z + 350*z**2. Is q(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, x: 1, i: 2, e: 6, y: 1, b: 3}. What is prob of sequence bbex?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*c - 9 = -204*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**4\/8 - 4622315*d**3\/8 + 1925963*d**2\/2 - 770385*d\/2 = 0.\nAnswer: 0, 2\/3, 1, 1540770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*w**6 - 5*w**5 + 1281*w**2 - w.\nAnswer: 12600*w**3 - 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7693 is divided by 2540.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13349*m - 6674*m + 280 - 6673*m.\nAnswer: 2*m + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-35 - (-17 + -23)) + 2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -379814, -379854, -379920, -380012?\n\"Answer: -13*x**2 - x - 379800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-4080))\/(2\/(-8))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -1. Suppose -3*l + l + m = 0. Suppose -15 = -3*j, 0*j + l*j = -f + 54. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17144 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(27\/(-30))*4959\/7714.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 4*t**3 + 2*t**3 + 14*t**3.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44.5353 times 0.1\nAnswer: 4.45353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 224728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 - 95*q - 20. Calculate k(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65690844\/91 + 721866. Let b = 4265\/546 + c. Find the common denominator of b and -11\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d*d\/(d\/(d*d*d*(d\/((d*d*d\/d**(-1\/8))\/d))\/d)*d))\/d)*d**(2\/11)*d\/d**(3\/10)*(d*d\/(d**(-4\/7)*d*d))\/d*d assuming d is positive.\nAnswer: d**(7941\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 3, 5 in decreasing order.\nAnswer: 5, 3, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by -17964.\nAnswer: 35\/17964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*44 - (-37)\/(-111)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55628 and 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(-4)\/((w**(1\/3)\/w*w)\/w**3)*(w**0)**37\/(w**(3\/7)*w*w**(-4)) assuming w is positive.\nAnswer: w**(89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**4 - 873*k**5 + 1080*k**5 - k**4 - 1525*k wrt k?\nAnswer: 4140*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 8:15 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(2) + -4.\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6748787 minus 320?\nAnswer: -320.6748787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 12*t - 70. Let j be k(14). What is the greatest common divisor of j and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1572970 and 7521?\nAnswer: 514361190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p - 1. Let r = -4 + 9. Suppose 2*u - u + r*h = -16, 0 = -5*h - 10. Let n be m(u). What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -733 + 731.054. Let f = -0.054 + r. What is the nearest to -1 in f, 0.8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9256.8 kilograms?\nAnswer: 9256800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365008 divided by 311.\nAnswer: 365008\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5671076, -11342084, -17013092?\n\"Answer: -5671008*q - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6390 and 45.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(1\/3)*x*x)**(-49)\/(x**(-2)\/x)**(-42) assuming x is positive.\nAnswer: x**(-1015\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*z + 4 = 6*z, 2*b = -3*z. Suppose -5*h = -2*m + 691 + 641, 1979 = b*m + 2*h. List the prime factors of m.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 2*d + 2. Let o be w(4). Suppose -4*s + 3*b + 85 = -2*b, -56 = -3*s - 4*b. Calculate the highest common factor of o and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 11:41 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from fhfhfffh.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u - 74 + 41 = -27*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/3 and 14\/12823341.\nAnswer: 12823341","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/35)\/((-12)\/(-60)). What is the closest to i in 1.1, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 222?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -7 + 3 - -10 - 9 - -22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 233*q**2 + 7*q - 29*q + 21*q + 0*q**2 + q**2 + q**2 + (0*q - q + 0*q)*(-q + 2*q - 2*q) - 2*q**2 - 4*q**2 + 4*q**2 + 3*q**2 + 3*q**2 - 5*q**2.\nAnswer: 235*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7132.\nAnswer: 2, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = -25. Let w(g) = 7*g**2 + 12*g - 15. Let h(i) = -22*i**2 - 37*i + 45. Let c(f) = l*w(f) - 2*h(f). Solve c(o) = 0 for o.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 563, 67544 in ascending order.\nAnswer: -5, 563, 67544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-29))\/((h**(-3\/4)*h*h*h)\/h))\/(h**12*h**(-7)) assuming h is positive.\nAnswer: h**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3.3. Let q = g + 1.2. Let u be ((-12)\/(-75))\/((-8)\/(-20)). Which is the closest to -2? (a) q (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 10*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:53 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - d**3 - 2*d**2 + 2*d**3 + 3*d**3 - 3*d**3 + (3 - 3 - 1)*(d**2 - d**2 - 2*d**3) + (3 + 1 - 6)*(3 - 5 - 2)*(637*d**3 - 338*d**3 - 340*d**3).\nAnswer: -325*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:47 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 23. Let c be 2\/((k\/9)\/(-5)). Solve c*m + 3 + 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, 6, 20, 36, 54, 74?\n\"Answer: m**2 + 9*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579214512?\nAnswer: 2, 3, 4022323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -104, -112, -122, -134?\n\"Answer: -b**2 - 3*b - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35034 - 35031. Let x be (20\/6)\/((-4)\/(-6)). Solve h + 15 = -o*h - j, x*j = -h - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8947737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 45. Suppose 0 = 4*p + b*o + 4480000, 0 = -3*p - 2*p + 4*o - 5600000. What is p rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 145. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(240)*1)\/sqrt(10))\/sqrt(8)*-4)**2 + ((sqrt(9) + sqrt(27)\/sqrt(3))\/sqrt(3) + -2)**2*-3.\nAnswer: -48 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814928?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdrqdq. Give prob of picking 1 d and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-4 - -2) - -5. Solve -b*y - y = -20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536\/670*(25\/(-6))\/5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*j + 36, 46*a - 4*j = 41*a + 204. What is the least common multiple of 88 and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 at least as big as 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**2 + 25176*z + 17606416.\nAnswer: (3*z + 4196)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0 (b) 4 (c) 3 (d) 4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o + 141. Let x(w) = 12*w + 284. Give 7*f(g) - 4*x(g).\nAnswer: g - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -4 (c) -0.09 (d) -4\/7 (e) -2013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -197 and -2?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9096 divided by 6?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*b + 142 - 152, -3*v = -3*b - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 2. What is the units digit of v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7598697?\nAnswer: 3, 2532899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (36\/84)\/((-4)\/(-70)) - 8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 30*g - 6*g - 11*g + (4 + 3 - 5)*(-g + 1 - 1).\nAnswer: -49*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1677566157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 3:38 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12927 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)*n)\/n**0*(n**(1\/2)*n)**(2\/5) assuming n is positive.\nAnswer: n**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 5:13 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8))\/(7 - (-5538)\/(-792)). What is the highest common divisor of 792 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30000 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h - 8 = -8*h. Let z be (16\/12 + h)\/((-4)\/30). Solve z*g = 1 - 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1736)\/155 + (11 - 0). Let u be (-16)\/(-2)*(-2)\/12. Put u, -2\/5, y, 0.5 in descending order.\nAnswer: 0.5, y, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.5, 1\/2, -40, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -5, -2519770 in ascending order.\nAnswer: -2519770, -5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 + h. Let b be l(-2). Suppose -3*y + b*a - a = -599, -5*y = 2*a - 991. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64966*w**2*x**3 - w*x**3 - 8*w*x - 32*w + x**3 wrt w.\nAnswer: -129932*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f - 74*f**2 - 2 - f - 2 + 2 + 71*f**2 + 3*f**3 to k + n*f**3 + v*f + t*f**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, u: 5, l: 2}. What is prob of sequence cuu?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 3. Suppose 0 = p + v*n + 3, 0 = p + 2*p - 3*n - 15. Suppose -84 = -p*y - s - 4*s, 2*y + 4*s = 58. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 3:47 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11481, 92190, 311267, 737898, 1441269, 2490566?\nAnswer: 3954975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - q + 17 = -p, 3*p - 5 = 2*q. Which is the closest to -6? (a) 1\/3 (b) -2\/9 (c) 0.2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {q: 2, m: 1, c: 1, s: 7, v: 1, x: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-555)\/(-2)*(3 + -9 - -8) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 0. Let m = q + -7. Let h = 8 - m. Which is the closest to h? (a) 0.2 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 18 = 4*r - 28, -2*r + 8 = 5*v. Suppose -r = m + 4*o, -2*o + 3 + 3 = 4*m. Solve 5*f = -m*c + 25, 3*f - c - 1 = 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54424041554 + 5?\nAnswer: 54424041562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89286 is divided by 115?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6827026 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5, 22, 0.\nAnswer: -2, 0, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5005 + 5015 + 77*f - 119*f)*(-2*f**4 - f + f).\nAnswer: 84*f**5 - 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let q(w) = -36170*w + 2. Determine a(q(p)).\nAnswer: -36170*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 15*u - 88. Suppose 0 = 5*z + 25, 3*g - 4*z - u = 21. Solve -23 = -5*o - 4*w, -10 = -g*o - w + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -17*u**4\/24 - 19*u**2 - u + 24. Give z(-6).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000944102 to 7 dps.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**5\/20 + n**4\/4 - n**3\/3 + n**2\/2 - 4*n. Is j(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -104*r + 100. Let n be l(-34). Suppose -137*z = -143*z + n. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-9)\/c)\/c)\/(c**4\/c) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/8 + 117*b\/8 - 297\/4.\nAnswer: -3*(b - 33)*(b - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((420\/(-10))\/(-126))\/(-1 - -2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377997 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 6*t**2 - 7*t + 42. Let j be x(6). Suppose -8 = 2*f + 2*s, 0 = -f - j*f - 2*s - 3. What is the nearest to -14\/3 in -4, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/12)\/((4\/(-7))\/(((-168)\/(-98))\/(-2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 294 + -193. List the prime factors of n.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*h - 18 = 0, 4*b = -3*h + 2 + 18. Solve 0 = -b*o - 0 + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*u - 403 - 269 = 0, -3*m - 4*u + 1018 = 0. What is the smallest common multiple of m and 6?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -221, -332, -443, -554, -665?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -278 - -510. Suppose 0 = 7*f - 3*f + 20, 0 = -q + 4*f - 135. Let a = q + c. What are the prime factors of a?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -18. Find the common denominator of (2\/d)\/((-1)\/(-37)) and 379\/30 - (90 + -81).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1348, 530 in descending order.\nAnswer: 1348, 530, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -13*p + 2. Let x be k(-1). Let l = -13 + x. Does 14 divide (3 - -12)\/(l - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/24738 and 103\/868?\nAnswer: 49476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Let n be -173 - (d\/(-7) + 38\/14). Let v be (-2)\/16 - 3718\/n. Calculate the greatest common divisor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -387 + 387.0000729. What is m rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60988 and 4108?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from {i: 6, y: 13}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 4*z**3 + 24*z**2 + 16*z - 32.\nAnswer: -4*(z - 2)*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 - -133220?\nAnswer: 133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 12 = 0, 0 = -8*v + 5*v - w - 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 26 = 78. Calculate the remainder when j is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552175\/124 - -4453. Let i = 6233\/1364 + l. Factor -i - 2\/11*o**2 + 20\/11*o.\nAnswer: -2*(o - 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/60 + h**4\/24 + h**3\/3 - h**2. Let j be u(-2). Find k such that -k**j + 2*k**3 + 0*k**3 - k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 188220 and 4002.\nAnswer: 125542740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -61\/4, 87, 5, 4 in descending order.\nAnswer: 87, 5, 4, 1, -61\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 + d**3 + 2*d**2 - d - 3\/2.\nAnswer: -(d - 3)*(d - 1)*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -130?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 528?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2568 - 2560. Let v = 3 + -1. What is the nearest to v in -3\/8, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 24. What is l(-46)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -124*m**2 - 1249*m - 28. Determine d(-10).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/8 of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 16.07. Let o = 5.07 + l. Let w = -36.1 + 36. Which is the biggest value? (a) w (b) -6 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1649 - 2*t + 1640 - 2*t + 1160 - 4449.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 37. What is the least common multiple of p and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j**2. Let a(c) be the third derivative of -11*c**4\/24 - 40*c**2. Give b(a(z)).\nAnswer: -1573*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 + 218. Let q(z) = 2*z**2 - z. Give q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/7))**19\/((k**(2\/5)*k)\/k*k**2*k))**35)**(-13) assuming k is positive.\nAnswer: k**4017","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*j**2*z**3 + 5*j**2*z**2 + 36*j**2*z + 32*z**5 - 13*z wrt z.\nAnswer: 588*j**2 + 1920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -64. Let l(f) = -f + 16. Let m be l(y). Suppose -8*s + 230 - 38 = m. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(-4)\/16*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 20. Suppose 0 = v - b - 81. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*((-4 + -1*sqrt(847) + sqrt(847)*2 + sqrt(847) + 4)*3)**2*3 + -4.\nAnswer: -2195428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -42, -64, -104, -168, -262, -392?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 3*q + 6, 3*u = 2*q + 23. Suppose -4*y - 36 = u*p, -4*y + 4 = 3*p + 32. Let x = y - -8. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 times -0.1?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526474852 a multiple of 14487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppvvvyyppvpvyvvp. What is prob of sequence py?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39983 is divided by 606.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946 = -2*k + 936. Let s(q) = 2*q**2 - 5*q + 1. Let i(d) = -4*d**2 + 9*d - 2. Let r = 5 - 8. Calculate k*s(a) + r*i(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*x**3 + 12*x**3 - 7*x**3 + 7*x as h + w*x + a*x**3 + y*x**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -728949013*t - 670678310?\nAnswer: -728949013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -542674 (base 10) to base 4\nAnswer: -2010133102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n, 3*i - 20 = n - 2*n. Let q(v) = -v**2 + 7*v - 4. Let u be q(i). Let b = 14 + 4. Calculate the highest common divisor of b and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*h - 65 + 35, 4*w - 9*h - 60 = 0. Solve 3*c + w = -x, 2*x + 196*c + 4 = 194*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 158340.\nAnswer: 158340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.12 (c) 0.4 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1098 divided by 1098\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -3.27.\nAnswer: -29.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2902427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u**(-10\/7)*u)\/u)*u))\/u)\/((u**(-36)*u)\/u))\/(u**(-5)\/u)**(-31) assuming u is positive.\nAnswer: u**(-1074\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(4\/7))\/d**(-1\/6))\/((d\/(d**(-1\/6)\/d)*d*d)\/(d**(-5\/6)*d)) assuming d is positive.\nAnswer: d**(-143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3\/13, -3 in ascending order.\nAnswer: -3, -2\/3, -3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03953831493 to 5 decimal places.\nAnswer: -0.03954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziizuiiiiiiu. Give prob of sequence izu.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1407)\/1407*270\/(-117).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 21. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(-1 + 13*w**5 + 12*w**5 + 3*w - 22*w**5).\nAnswer: -6*w**5 - 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18663466?\nAnswer: 2, 37, 252209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + y - 3)*(603*y - 603*y - 25*y**2).\nAnswer: -25*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/120 + ((-9)\/(-8))\/(-9)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33155, 66440, 99725?\n\"Answer: 33285*x - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i + 29. Calculate l(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 2188*t**2 + 253.\nAnswer: -2188*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.751278 months in centuries?\nAnswer: 0.000626065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*g - 4*i + 1, 5*i = -2*g + 22. Which is smaller: -2\/1713 or g?\nAnswer: -2\/1713","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 26. Let t(q) be the second derivative of q**3\/3 + q**2 + 657*q. Give t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 305577 (b) 24 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26816, 26822, 26828, 26834?\n\"Answer: 6*u + 26810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or 42411?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 30*o**2 + 145*o - 854. Calculate w(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -22*((-12)\/8 - -2). Let k = 8 - 37. Let i = l - k. What is the highest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - p**2 - 1. Let i(r) be the second derivative of -r**5\/10 - r**4\/3 - 5*r**2\/2 + 2*r. Let n be 2*-1*1\/2. Determine n*i(v) + 4*t(v).\nAnswer: -2*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798948?\nAnswer: 2, 3, 22193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -1514647\nAnswer: -22\/1514647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 283608 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 8 - 7) + 6 + 0 - (125 + -64)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -57*a**2. Suppose 3*k - 15 = -3*v, -5*v - 9 = 3*k - 10*v. Suppose f = 5*t - k*t + 7, 3*f + 21 = -5*t. Let y(c) = -8*c**2. What is f*s(z) + 15*y(z)?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12923089 + -12922366.8431. Let l = 778.356 - b. Let p = l + 0.0009. Round p to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(2*sqrt(9)))\/(1*sqrt(4)*2).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17595.53 kilograms in nanograms?\nAnswer: 17595530000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, k: 4, t: 7}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*r**4*y - 57*r*y - 305*y with respect to r.\nAnswer: 12*r**3*y - 57*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose -17 - 22 = -b*r. What is the remainder when ((-4)\/(-10))\/(3\/180) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503083553 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58*(-1)\/(-6))\/(-11*(-3)\/(-99))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*g + 2037 - 2037 + (3 + 2 - 3)*(-2 - g + 2) + 0*g + 3*g - 5*g + 3*g - g - g + (1 - 3 + 4)*(0 + 0 - g).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p**2 - 64*p**2 + 34*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q - 4. Let d be n(2). Let f(i) = 65 + 43 - d*i - i**2 - 29 + 5*i. Is f(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5984, -11954, -17910, -23846, -29756, -35634, -41474, -47270?\nAnswer: -53016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d + d = 109*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0642 times 0.057?\nAnswer: -0.0036594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308.354 months in decades?\nAnswer: 10.90295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3463616 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -113 - -112.5. Let x = 0.2 - -0.2. Put x, q, -3 in increasing order.\nAnswer: -3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 1 + 3*l + 21*l**2 - 27*l**2 + 0*l + 11*l**2. Does 6 divide n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.593 - 38.526. What is c rounded to zero decimal places?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -1)\/(-1) + 4. Suppose 5274 = 9*f - g*f. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.6, -2, -3\/5 in descending order.\nAnswer: -3\/5, -2, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.5 - 13. Which is the nearest to 1? (a) -2\/5 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204516032.\nAnswer: 2, 7, 307, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.5310408 rounded to 1 decimal place?\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7566 divide 1468863240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*h**2*q**2*w**2 + 343*h**2*q - 7*h*q + 274*q**2*w**2 - 4*q**2 with respect to w.\nAnswer: -52*h**2*q**2*w + 548*q**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcj when three letters picked without replacement from {j: 3, q: 3, p: 4, c: 5, n: 3}?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*2)\/(3*sqrt(486) + sqrt(486)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = t + 4*s - 21, 0 = -4*t - s + 228. Suppose -3*u - 47 - t = -v, -u + 315 = 3*v. What is the remainder when v is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 43. Suppose -8*z - 10 = -9*z. Let h be p(z). Let v be (-6)\/h - (-1)\/(3\/72). Solve -n + 2 = s, n = s - 4*n + v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*u**2 - 10*g**3*u + 61*g**2*u**4 - 5*g*u wrt u?\nAnswer: 2*g**3 + 732*g**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297\/(-1782) - (-2 + (-4)\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + o - 68. Determine t(0).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6285447 and 897921?\nAnswer: 6285447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000010001 + -11?\nAnswer: 10000000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1810.76 to the nearest 10.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 + 74659*h**4 + 2033182*h**3 + 18575190*h**2 + 58159863*h + 10905111 = 0. Calculate h.\nAnswer: -9, -1\/5, 14959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491005547?\nAnswer: 67, 7328441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -67, -65, -63?\n\"Answer: 2*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from vohovzzzhvhhzzv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1036 = 4*u - 448. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -12.000129. What is k rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30814 * -3.3.\nAnswer: -101686.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v = -27*v - 100 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((24\/(-4660))\/(-6)). Let g = j - 615. Round g to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5019.\nAnswer: 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 8) to base 12\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11901, -11953, -12097, -12381, -12853, -13561, -14553?\n\"Answer: -8*t**3 + 2*t**2 - 2*t - 11893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -10*z + 24. Suppose -4*r + z = 0, 0 = 5*p - 0*p - 3*r + 19. Which is the closest to -1? (a) 1\/7 (b) p (c) 0.4 (d) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-z + 23*z + 13*z).\nAnswer: -70*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 2310.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 6*h + 5. Suppose -85 = -6*l - 19. Let o(n) = -n + 2*n**2 - 15*n + 3*n - l. Let y(g) = 4*g - 7. Let k be y(5). Calculate k*f(q) + 6*o(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145 and 822295?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091946507?\nAnswer: 3, 363982169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12427519 and 5.\nAnswer: -62137595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1649210 to the nearest one thousand.\nAnswer: -1649000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 870334298 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -23. Is t greater than or equal to -4.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*p**5 + 98*p**2?\nAnswer: -1740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.1. Let x = 3\/29 + 25\/319. Sort 5, x, l, -0.1 in ascending order.\nAnswer: -0.1, l, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-21)\/(-6)) - 0. What are the prime factors of 0 + (12 - (1 - x))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(6)\/sqrt(2))*-2*4)**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-8))\/((-10)\/(-20))*-4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n - 23*n + 17 = -19 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1524 and 67\/219456.\nAnswer: 219456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557, -234, -6027, -20482, -47259?\nAnswer: -90018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -30*n + 112. Calculate j(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (300\/(-14))\/(9 - 4040\/448). Calculate the highest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 23715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (2 + -1) - (-217 - -217).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 546.016 * -0.2.\nAnswer: -109.2032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 93856 divided by 2\nAnswer: 46928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 - 2*k**3)*(k - 1 + 1)*(-2 + 1 + 2).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122011112010 - -1?\nAnswer: -2122011112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1155*p**2 + 3593*p**2 - 1155*p**2 - 1306*p**2 + 0*p + 0*p.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**4 - 68*t - 13?\nAnswer: -8*t**3 - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.051 - -0.451. Let k = 6.09 + -0.09. Let p = -5.8 + k. What is the nearest to p in 2\/7, -2\/3, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1337320 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s. Let a(i) be the second derivative of 3*i**3 + 21*i. Determine -6*a(w) + 17*r(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -643019 and 102.\nAnswer: -642917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 452.839 - -23.701. What is f rounded to 0 decimal places?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3807547.5 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-4) - -5)\/(2\/8)*12642\/(-10535).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 9*d = 4*d - 8, -a - 2 = 3*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 9*x. Let f(p) = -10*p. Give f(k(d)).\nAnswer: -10*d**2 + 90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 2, y: 2, i: 1, f: 1, p: 2}. Give prob of picking 1 x, 1 i, 1 m, and 1 y.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**3 - y**3 - 4*y**3)*(-7 + 3*y - y + 0*y) as n*y**3 + p*y + c*y**2 + b + j*y**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*((-z - 3*z + 5*z)*(231*z**2 + 194*z**2 - 194*z**2) + z**3 - z**3 - 5*z**3).\nAnswer: 452*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4733*m - 4388*m = -4031*m + 8002*m - 26184 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/(-5) + 2\/(-5). Let m be 9 - 2*(-1)\/2. Let i = m + g. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*o = 7303 + 22608 - 3351 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 17*u - 26*u**2 - 20*u)*(-2*u - 3*u + 6*u).\nAnswer: -26*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67843974 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 132a2a78?\nAnswer: -132a2a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8902*f - 8602*f - 7200 = 0 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16358628509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 12*x**2 - x + 11. What is the units digit of z(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 212\/(-290) - ((-120)\/(-25))\/(-6). Which is bigger: -0.04 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4055*v = 4066*v - 110 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c0bb0 + -5?\nAnswer: 1c0ba8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292)\/4672*2*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -31. Let a(h) = -8*h + 0*h**d + 8*h + h**2. Let i(v) = -v. Give a(i(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(104))\/sqrt(8) + ((sqrt(78)\/sqrt(6) - sqrt(13)) + 5)**2.\nAnswer: -3*sqrt(13) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -15.65 (c) 2491\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/(-17))\/((-4)\/(-1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -6\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 100*o + 760. Let f be r(-7). Solve -52 = -4*y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from ybmrbsre?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2. Let p be 1\/5 + 1 + (-1218)\/15. Let d(r) = 512*r**2. Let y(o) = 19*o**2. Let f(s) = p*y(s) + 3*d(s). Calculate f(h(z)).\nAnswer: 256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - sqrt(1539)*2) + 2 + 1 + -2*sqrt(1539))**2.\nAnswer: -162*sqrt(19) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 - 5 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 64 = 2*d. Solve 5*n - n = d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5326 + 5348 - 3*n + 2*n. What is the remainder when x(0) is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.6 - 10.7. Let y be (8\/70)\/((-2)\/10). Let b = 0.3 - 0.1. Put y, b, r in increasing order.\nAnswer: y, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -215 + 218. Suppose 2*j = -4*h, 3*h = 4*h + f*j. Solve -2*v + 2 = -h*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -1079\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -10*t + 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648669663 - 28?\nAnswer: 2648669635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*324\/(-1404).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*o*t**3 + 2*b*t**3 - 1530*b + o*t**3 - 2*o*t**2 - 13*o*t + 31*t**3 wrt b.\nAnswer: o*t**3 + 2*t**3 - 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 23*y - 10134 = -10254. Put -15, y, 19, -6 in ascending order.\nAnswer: -15, -6, y, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u. Let l(w) = 187*w. Determine q(l(k)).\nAnswer: 2244*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 926 (b) -4 (c) 5 (d) 2\/5 (e) 347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6801446.5 + -1212.\nAnswer: -6802658.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6489 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(72) + -1 + 4))**2 - (sqrt(72)\/(sqrt(32)\/(sqrt(8)*-1)))**2*3) + 3.\nAnswer: 900*sqrt(2) + 1974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + l - 3*z = -79, 2*z + 27447 - 27499 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -20. Let l = i - -32. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 + -66. Suppose -38*p = 152 + 76. Let x = p + g. What are the prime factors of x?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9*(-18)\/6. Let g(k) = -k**2 + 4*k + 6. Calculate g(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 144*b + 2164. Let f be y(-15). Let i(a) = -a**2 - 4*a + 7. Give i(f).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -361, 13, -5, 107 in descending order.\nAnswer: 107, 13, 0, -4, -5, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + -7.5. Let j = -9.5 - q. Let b = -1.50000043 - j. What is b rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 555, 556, 557?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.446096 micrometers to nanometers.\nAnswer: 1446.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n + 9*n - 2*n)*(-2 - 2*n**2 + 2).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x - 34*x = -18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11969037 and 1269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*p - 2*p + 6, 11 = -p - 4*h. Suppose -l - 2*b - 4 = 0, -17*b - 16 = -5*l - 15*b. Solve -l*w - 3*c = -5, 0 = -3*w + 2*c - p - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -359*o - o**3 - 8*o**3 + 10*o**3 + o**3 - 4*o**3 in the form i + k*o + y*o**3 + q*o**2 and give k.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50481, -50527, -50565, -50589, -50593, -50571, -50517, -50425?\n\"Answer: u**3 - 2*u**2 - 47*u - 50433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3986.2 - 3986. What is the fourth biggest value in -3, -0.4, r, 9, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*h - 13 = 74, 0 = -2*w - 4*h + 42. Let o be (-1 - 0)\/((-1)\/3). Suppose o*d - 66 = 18. What is the remainder when d is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 3, 71.\nAnswer: -6, -1, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -10 (c) 22 (d) -2\/3 (e) -5 (f) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32126 divided by -41.\nAnswer: 32126\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.105, 2404?\nAnswer: 2404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 7:01 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1344 = -4*y, -5*t - 969 = -3*y + 25. Let r be (-30)\/(-12)*(-100)\/2. Let n = r + y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -18.8. Let f = 0.0527 + -2.2477. Let x = f + m. Round x to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 11*v. Let s(o) = -5*o**2 - 44*o - 22*o + 0*o**2 + o. Let a(f) = 35*k(f) + 6*s(f). Find the second derivative of a(h) wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) -3\/2 (c) -2\/3 (d) 0.16 (e) 1\/245 (f) 106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1)\/(36\/(-72)). Suppose t + 98 = b*q, -5*q + 6*q - 2*t = 52. Calculate the lowest common multiple of 4 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + v - 3*c = 28, -3 = 3*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 10*r + 2653. Let l(y) = 4*y + 1326. Calculate 2*j(h) - 5*l(h).\nAnswer: -2*h**2 - 1324","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150367 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:15 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8302243 weeks to nanoseconds.\nAnswer: 502119656640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -489434 and -0.7.\nAnswer: -489434.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 2*v - 1. Let p(g) = -g - 8. Let m be p(-9). What is c(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4174657, -33397223, -112715615, -267177745, -521831525?\nAnswer: -901724867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 0 + 6 + 4*n to the form p*n + w and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25817, 25732, 25649, 25568?\nAnswer: 25489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 780695875 to the power of 1\/3, to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (192\/(-18))\/(-16)*42\/(-8)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00040334 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244*u**4 + 16*u + 11*u - 43*u + 19 + 13*u + 5*u wrt u.\nAnswer: -2928*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(125) - (sqrt(125) + -1) - sqrt(125)))**2 + (sqrt(125) - (sqrt(125) - -2*sqrt(125))*-4))*6.\nAnswer: -570*sqrt(5) + 12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c - 2*c - 72, -4*x - 4*c + 46612 = 0. Is x a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3744*s**2 - 1873*s**2 + 9 - 25 + 15 to the form c*s + l*s**2 + k and give l.\nAnswer: 1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/4)\/((-6)\/(-12)). Suppose -2*i - 97 = 3*r - y, -4*r + 5*i - 143 = 0. Let n = 49 + r. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -34797 (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 9*w**2 - w - 4. Let v(g) = -g**3 - g + 1. Let j(k) = -p(k) - 3*v(k). Let q be j(8). Is q less than or equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3991906*c**3 + 3116882*c**2.\nAnswer: 23951436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/120 + d**3\/3 - 4*d**2. Give y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 16*q - 19*q - 4119 = 0, -2*q = -6*w + 8230. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -1364b8?\nAnswer: -1364b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44620242 divided by 7?\nAnswer: -44620242\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*a**4 + a + 2*a**2 - 15*a**3 - 480*a**4 + 236*a**4 + 2 as b*a**3 + c*a**2 + g*a + j*a**4 + t and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*h + 4*i, 0 = -4*h - 3*i + 176 - 120. Which is greater: h or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 224 = 6*d - 2*t, 2*d - 16*d + 9*t - 10*t + 257 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*w + 20*w. Sort 4, -1, w in decreasing order.\nAnswer: 4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95854084 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 320 and 40?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 616 and 12775728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -7*i**6\/180 + i**3 + 3*i. Let u(o) be the second derivative of v(o). Let p(z) = -2*z. Calculate u(p(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3964800 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, q: 1, n: 2}. Give prob of sequence nq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from nykkfunufyunoukkuuk?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7819, -30840, -69185, -122854, -191847, -276164, -375805?\nAnswer: -490770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-136 + 128) - (0 - 17 - (-2 + 2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, 486.\nAnswer: -3, 0, 5, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 35*d**4 - d**3\/3 + 3*d**2 - 352*d - 4476. What is the second derivative of r(u) wrt u?\nAnswer: 840*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13113033 (base 4) in base 10?\nAnswer: -30159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*c + 360, -2*c = -4*i + 2*i + 390. What are the prime factors of i?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 240 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1288804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 5*i**2 - 3*i - 6. Calculate s(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 41*z - 84. Give g(-3).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 1037 - 722 = 0. Solve 4*t + 20 = -5*j, 2*j = i*t - 4*t - 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*y - 47923, -3*y = d - 2959 - 13030. Suppose 4*p - d + 805 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074365*n + 374 = -1074387*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)\/g*g)**(-45)\/(g**(-22)*g**(-2\/21)*g) assuming g is positive.\nAnswer: g**(709\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) + 2\/5. Suppose -w - w + 2 = r. Suppose 4*a - 2*u = 22, 2*u - 6 = 3*a - 24. Calculate the smallest common multiple of w and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(2\/27)\/c))\/c)**(2\/13) assuming c is positive.\nAnswer: c**(50\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2866 - 2744 = -273*r - 101*r. Solve 32*f + r*f = -423 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 662.06 and 20.\nAnswer: 682.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*v + 8. Suppose -v*y = -y. What is the second derivative of -3*k + 5*k**4 + y*k**4 + 0*k**4 + 5*k**4 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 + -10?\nAnswer: 2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 3:50 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) 1 (c) -3 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29699.95 millennia?\nAnswer: 2969995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -344, -342, -338, -332, -324, -314, -302?\n\"Answer: x**2 - x - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 u when three letters picked without replacement from {s: 4, u: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 31210232 (base 5) to base 6\nAnswer: 5301314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuluuuvlulzuzlu. Give prob of picking 1 u and 1 v.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17090 or 6194?\nAnswer: 6194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/(j**(2\/17)*j*j))\/(((j*j\/(((j\/j**4)\/j)\/j))\/j)\/(j*j**(-1\/4))) assuming j is positive.\nAnswer: j**(-569\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 606, 903, 1196?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 149 + -163 + -4 + (-3 - (3 - 18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3516 and 9.\nAnswer: 10548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(8)\/(1*sqrt(2))) - (sqrt(114)*-1 - sqrt(114))\/sqrt(6)*3.\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*q = 0, -d + 6*d + 28 = q. Let c be 60\/(-80)*(2 - (-28)\/d). Solve 0 = 4*o + y + 17, -3*o - 5*y - 40 = c*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5869 + 5867. Which is the second smallest value? (a) 0.2 (b) -221 (c) 5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvsj. What is prob of sequence vv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) 1.6 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, o: 3, n: 1, d: 3, h: 1, q: 1}. What is prob of sequence ndh?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3*(-6)\/(-4). Let z(n) = 4*n**3 + 2*n**3 - n**2 - 3*n**3. Let t be z(u). Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + -7 - -12) + -6. Let b be 44 + -3 + (11 - f). What is the greatest common factor of 105 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Suppose t*b = -4*n + 744, -2*n - 4*b + 370 = -b. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Let v = -9 + 18. Let r(k) = 3*k + 2*k - v*k. Determine r(l(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-3)\/3*1). Suppose -4*i + 0*a + 8 = 4*a, u = -2*a. Suppose i*v - 280 = -4*d, 2*v = -v + 12. Round d to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 11) + 24 + -11\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 4*j**2 - 2*j. Let x = -115 + 121. Calculate the least common multiple of z(5) and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*a + 0*a - 4*a to the form q*a + u and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1924 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -16211813 rounded to the nearest 10000?\nAnswer: -16210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-5))\/t**(-4\/7))\/(t**(-4)\/t**(-1\/3)) assuming t is positive.\nAnswer: t**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 - 72*o**4 - 459*o**3 + 366*o**2 + 6588*o - 9720 = 0. Calculate o.\nAnswer: -10, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 m when four letters picked without replacement from {s: 4, j: 6, m: 4, l: 4}.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 5:50 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**3\/5 - 9*t**2 + 102*t\/5 = 0.\nAnswer: -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 + 7 = 0. Let q be (-17280)\/65 - f\/52. Let s = -55 - q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*o = 4*o + 4, 2*c - 5*o - 5 = 0. Does c = 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 4*t + 0*t + 1 - 8. Let k be a(6). Let z = -36 - k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x + 2*x + x**5 + (-3*x + 3*x - 3*x**4)*(-1 + x + 1) + (11*x**2 - 5*x**4 - 11*x**2)*(0*x - 2*x + 0*x).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 899062 by -6.\nAnswer: -449531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -7 in ascending order.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 2. Calculate the remainder when 59 is divided by o\/42 + 208\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13302 + -42422301?\nAnswer: -42403444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 1015?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 772 - 526 = 0. What is the third derivative of -37 - t*j**2 + 94*j**3 + 37 - 58*j**2 wrt j?\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61806673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4859 - 2*s - 4859 + 4*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17381 and 1456?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*b + 7 = -8, 5*b = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 257*f - 4526. Let z be i(19). Let x = -0.05 + -0.25. Which is the third biggest value? (a) x (b) -1\/15 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11562710, 11562734, 11562772, 11562830, 11562914?\n\"Answer: t**3 + t**2 + 14*t + 11562694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/8 + 177*y**3 - 1411*y**2\/8 - 708*y + 1415\/2 = 0. Calculate y.\nAnswer: -2, 1, 2, 1415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*t - 3, -4*t = 4*p + 34 - 10. Let o(g) = 7*g + 1. Let a(v) = 13*v + 1. Calculate p*o(x) + 3*a(x).\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/6))**21 assuming a is positive.\nAnswer: a**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + -120504?\nAnswer: -121050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 0.8 (c) -20 (d) -1 (e) 0.059\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*k*p**2 - 28*b*k + 2*k*p**3 - 279*p**2 - 63 wrt p?\nAnswer: -4*b*k*p + 6*k*p**2 - 558*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, -43, -40 in increasing order.\nAnswer: -43, -40, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204)*-2)\/(sqrt(108)*1).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*w = 404*w - 3*d - 7, 5*w - 55 = 9*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10322\/31 - 333. Let v = -46.8 + 51.8. Which is the nearest to 0.3? (a) x (b) 4 (c) v (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*t = -564855, -4*t - 782781 = -5*s + 158622. Suppose 31717 = 4*m - s. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 50, 87, 146, 233, 354?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51370 is divided by 12767?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/(-26)*(-4)\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09 minus -0.281?\nAnswer: -0.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 122, 184, 244, 302?\n\"Answer: -v**2 + 65*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628121 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:45 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let y = -6 + n. Let w = -160 - -162. Is w <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-372 - -372) + 2\/5 + 139824\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m**(-11)))**(-21))**(4\/3))**(-7\/2))**(-2\/15) assuming m is positive.\nAnswer: m**(-2156\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-18)*(231\/11)\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - (25 + -4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.8 + -32. What is the closest to 2 in s, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3 - 11 - 10*p**2 - 2*p**3 + 3*p**3 + 5*p. Suppose 0*k = 5*k - 710. What is the remainder when k is divided by j(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 132*v + 1140. Let u be r(51). Which is bigger: u or -383?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435680 to the power of 1\/2, to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*r**4\/7 - 8*r**3\/7 - 46*r**2\/7 - 20*r\/7 = 0. What is r?\nAnswer: -1, -5\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59186, -118374, -177562?\nAnswer: -236750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1081811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -m + 85 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/27162931 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*q - 6 = -q, q - 7 = -5923*u + 5928*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 861 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 73055378.\nAnswer: -73055383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*4\/2. Let i(b) = b**2 + 21*b - 15. Let w be i(-22). Let m = w - a. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**8\/1512 - 2*w**7\/315 + w**6\/90 + 2*w**5\/27 - 13*w**4\/36 + 2*w**3\/3 - 80*w**2. Suppose a(l) = 0. Calculate l.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:00 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 89\/2 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 14056692*v + 24698823747858.\nAnswer: 2*(v + 3514173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -116, -267, -490, -791, -1176, -1651, -2222?\nAnswer: -2895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*k + 9 = 0, 3*m - 1 = -5*k + 8. Solve 4*r = m + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*((sqrt(1088)*1 + 3 + sqrt(1088) + -2 + 0 + sqrt(1088) + sqrt(1088))**2 - (sqrt(1088)*-2 + -2 - 2*(0 + sqrt(1088) + sqrt(1088)))).\nAnswer: 448*sqrt(17) + 69644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-22))\/1*6\/6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -s + 4*t, 4*s + 160 = -s + 4*t. Let g be (s\/(-5))\/((-2)\/(-20)). Suppose g = 2*k + 5*x, 6*k - 21 = 5*k + x. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtutootuot. Give prob of sequence tou.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -620 (base 8) to base 14.\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2ba7bd - -6?\nAnswer: -2ba7b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657380 is divided by 596.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -25*v**5 - 25*v - 10. Let r(n) = -8*n**5 - 8*n - 3. Let m(j) = -3*d(j) + 10*r(j). Find the second derivative of m(t) wrt t.\nAnswer: -100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13044.\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4000 = 7*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-15) + -2)\/(2\/20). Let j(o) = o**3 - 8*o**2 + o - 8. Let i be j(8). Suppose 3*c + 0*c - 9 = i. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 45 = 3*q. Let p be (-3)\/(-6)*0\/(-4). Let n = q + p. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1302 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -154*q**2 + 8*q + 32. Let s(p) = 180*p**2 - 10*p - 31. Give -7*n(z) - 6*s(z).\nAnswer: -2*z**2 + 4*z - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*f + 19, 0 = -5*f - 2 - 23. Suppose -21 - 45 = -k*n + 3*s, -2*s - 92 = -4*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/2 + 282895*f\/2 = 0. What is f?\nAnswer: -282895, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 7*u**2 - 2*u + 2. Let f be s(-8). Let g = f - -22. Let j = -19 - g. Solve 15 + j = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*m**3 - 84*m**3 + 51626 - 103256 + 51630.\nAnswer: -150*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:49 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.1 + -7. Which is the nearest to p? (a) 0.5 (b) 1\/10 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2681*m + 10*m**2 - 13*m**2 - 2680*m + 1 in the form b*m + k*m**2 + o and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.97 + -7.4. Let l = 0.77 - f. Let x = 0.0674 - -0.9326. Which is the second biggest value? (a) x (b) 0.02 (c) l (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7670870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 142\/(-350) - 2\/(-5). Let a = x - -703\/525. Is a equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00102 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*(-192 - 3). Let f be o\/(-4) - 1\/(-4). Let z = -55 + f. Let y(x) = -x**3 - 5*x**2 + 7*x + 5. Give y(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000136099561 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -3523*x + 3510*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m - 2*m**2 + 2 - 3 + 2 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2567*t + 68324. Give b(-27).\nAnswer: -985","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 17*g**2 - 17*g + 19. Let s be k(16). Suppose 5*a = 4*w - 2 - 21, 3*w - s*a - 18 = 0. Solve -3*z + 0*y + y = -6, 3*y = -2*z - w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 1\/6, -1\/3, -3, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12235232081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110613960 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561.9243 minutes to seconds.\nAnswer: 33715.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/78 - v**2\/13 - 11*v. Find t such that r(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/((k**(1\/2)*k*k*k)\/k)*k)*(k\/k**(-26))\/k*k*k**(-23)\/k*k*k**(-2)*k*k assuming k is positive.\nAnswer: k**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c**(12\/11)*c)\/((c**7\/c*c)\/(c*c**(-1\/10))) assuming c is positive.\nAnswer: c**(-331\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8)\/(y\/(y**(2\/13)\/y)))**(1\/14)*((y*y**(-1))\/y)**(-45)\/((y*y\/y**4)\/(y**(-5)*y)) assuming y is positive.\nAnswer: y**(62429\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10184 is divided by 2543.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m**2 + 1)*(3 - 1 - 4) - m**2 - 6*m + 6*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 43*f + 144. What is a(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/((-1)\/(14\/4)). Let o = 8 + m. Let a be 30\/(-4) + (-3)\/o. Which is greater: -6 or a?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/409 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 2*j + 5*s - 114, -3*j + 2*s = 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4574527067?\nAnswer: 11, 61, 6817477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -25313?\nAnswer: 25319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 47 = 122. Solve -3*y - n = -4*w, -4*w + 1 = -y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 + 4*i**2 - 3*i - 3. Let v(j) = 8*j**3 + 4*j**2 - 4*j - 3. Let a(u) = -4*p(u) + 3*v(u). What is the remainder when a(-3) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/(-25))\/(-6*2\/440). Let q(h) = -s + 20 + h + 13 + 14. Let l be (1 - 2) + 2 + 2. Determine q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -111*a - 16. Let c(k) = 57*k + 8. Let p(u) = 7*c(u) + 4*g(u). Suppose 22 = -4*q - 5*d, -q - 3*d - 6 = 3. Is p(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11679, 4, -5 in ascending order.\nAnswer: -5, 4, 11679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1807 + -1807.4. What is the nearest to 9 in 0, o, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 - 6*j. Let h = -1696 - -1702. Suppose -2*o + 0 = -4. Let m(x) = 2*x - x + o*x**2 - 3*x**2. Give h*m(u) + d(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 39)*(0 - 1). Let u be (1 + 2)\/(-2 - -3). Calculate the remainder when (5\/u)\/((-2)\/m) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 9. Suppose 4*b = 6*b - 56. Let c(l) = 1 + 6 + 54*l + l + 29 + 4 - 2*l**2. Let q be c(b). Determine w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517317373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 0)*(83*i**3 - 475 + 475).\nAnswer: -332*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/((-3)\/1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w + 217 + 22*w - 217.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11835769*m**2*t**5 - 84472*m**2 - 16*m*t wrt t.\nAnswer: 236715380*m**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - -4. Calculate the remainder when 37 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 335 and 335 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4\/8 - b**3\/2 + 9*b**2\/4 + 45*b. Solve t(o) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 6)*(n + 3*n - 2*n) + 1 - 1 - n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 8*z - 3*z + 40, -u - 8 = 3*z. Suppose 0 = -4*f + 9*f - 80. Suppose -v - 4*v - 5*c = 20, -u*c - f = v. Put -22, 3, v in ascending order.\nAnswer: -22, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/3, -0.67, 3, -29, -1.5.\nAnswer: -29, -6, -1.5, -0.67, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -318 - 36. Is (-4)\/12 - k\/(-9)*-10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, -77, -20 in ascending order.\nAnswer: -77, -20, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 11. Let l = -0.08 + -0.02. Is i less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 16. Let h(b) = -b**3 + 10*b**2 + 3. Let m be h(v). Solve m*s - 3 = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1178 - 0.4178. Which is the fourth smallest value? (a) u (b) 2\/15 (c) -3\/13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1000*d + 8898. Give f(-9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 27 + (-23 - (14 + -26)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 823.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 10 + 106 = 0. Suppose 0 = -3*y + t*d - 3*d + 8, -7 = -5*y + 2*d. Sort y, 15, 5 in decreasing order.\nAnswer: 15, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55810 - 26444. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2304 and 756.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - f = 13, -k - 35*f + 35 = -38*f. Factor 3\/8*y**k - 3 + 3\/4*y.\nAnswer: 3*(y - 2)*(y + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**4\/24 + 8*f**3\/3 + 22*f**2. Calculate b(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*35\/(-28))\/(3\/9). Solve 0 = 65*g - 68*g - x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.177 - 0.177. Which is the closest to 0.1? (a) z (b) -50 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4701752 = 4701753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f = -2*f - 30*f + 300. Suppose 5*t + 4*d + 3 = 8*d, 0 = 3*t + 5*d + 24. Put t, 4, -2, f in decreasing order.\nAnswer: f, 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 620\/7 (b) 2152 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(((m\/(m*m**6*m))\/m)\/m*m))\/m)\/m*m*m*m)\/m*m\/m**(-1\/3)*(m\/m**(-2\/5)*m)**(-2\/121) assuming m is positive.\nAnswer: m**(18683\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13451693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7 - 12 = -3*x, 0 = -3*t + 3*x + 30. Suppose -3*v = a - 32, 3*v - 20 = -3*a + 16. What is the least common multiple of t and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.2 - -2417.033.\nAnswer: 2419.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1, 1\/5, -0.07 in ascending order.\nAnswer: -1, -2\/7, -0.07, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 729875550 rounded to the nearest one hundred thousand?\nAnswer: 729900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -40*a + 17*a + 7*a + 15*a. Let h(v) = -312*v**2. Give n(h(b)).\nAnswer: 312*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4878103 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: What is 1.655497 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 + 7*s - 2. Let g be m(-2). List the prime factors of -2 + g - (-1915)\/5.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 2:26 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-4 - -135 - (-3 - 8)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/3 + 140*g**2\/3 + 146*g\/3 - 284\/3 = 0. What is g?\nAnswer: -2, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 64*l + 67. Give x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 4. What is j(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3167*j**5 - 4137*j.\nAnswer: -63340*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 133.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -4\/139, 0.18?\nAnswer: -4\/139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2. Let v(u) = -37*u**2 + 7*u + 12. Let p(w) = -113*w**2 + 19*w + 32. Let b(f) = 3*p(f) - 8*v(f). What is b(r(c))?\nAnswer: -1548*c**4 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -209, -400, -567, -698, -781, -804, -755?\n\"Answer: 2*l**3 - 205*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5660 + 4a44?\nAnswer: a4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*v**3 + 83*v.\nAnswer: 138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -502, -788, 24, 5, 0, -2 in decreasing order.\nAnswer: 24, 5, 0, -2, -502, -788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49? (a) 5 (b) 3 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Suppose -44*j = -3383 + 2899. Solve z*v + 2*a = 4*v - 13, a = 2*v - j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 4*m - 8. Let s be u(6). Let x be (-81)\/2*((-240)\/9)\/10. Suppose 52*l - 64*l + x = 0. Solve s*g - g + l = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1.5 (c) 3\/299 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/((-3)\/(-18) + 481\/(-222))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(7)*1)**2 + (2 + sqrt(63))**2)*1.\nAnswer: 12*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**3 - 27*y**3 + 14 - 16 + y**2 to h*y + m*y**3 + x + t*y**2 and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -115037?\nAnswer: 115034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = 8. Let n = 16 - f. Suppose 3*z = -n + 48. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 + (1 - 81 - -8)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -23*l + 93. Solve 21 = -l*z + 91 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9366 smaller than -9369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (357\/(-126))\/((22\/12)\/(-11))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 144403 < 144403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + r = 37, 2*k - 2*r + 439 = 385 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*z + 44. Let w be (1 + 0)\/(-6 + 2163\/360). Suppose 30 - w = -3*l. What is the greatest common factor of l and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8368, -16540, -24712?\nAnswer: -32884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 116, 120, 124, 128?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1\/7, 2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, a: 1}. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51522326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -8*q**3 - 8*q**2 + 5*q - 4. Let i(w) = 9*w**3 + 9*w**2 - 6*w + 4. What is 5*i(z) + 6*v(z)?\nAnswer: -3*z**3 - 3*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - 25. Let v be (1 - 3)*(s - 15\/10). What is the units digit of 17 - (v + 9\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 103*i - 22*i + 505. What is the nearest to -3.2 in -1, i, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 86. Which is smaller: -4\/13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194327\/(-18445) + 11 - 2\/5?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 203884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12870 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37651?\nAnswer: 23, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 17, j: 3}. What is prob of sequence jjj?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*4*18\/(-324)*183.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + ((-1 + 2 + sqrt(147) + sqrt(147))**2 - sqrt(147)).\nAnswer: 28*sqrt(3) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31987 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11b (base 16) to base 7.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 2. Suppose n = w + 2. Solve -u + n - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**5 + 36*b**2 - 259*b wrt b.\nAnswer: -60*b**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 + 0*c**4 - 5*c**4 + (2*c - c + c)*(-1660*c**2 + 1660*c**2 - 10*c**3).\nAnswer: -21*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(sqrt(54)\/sqrt(6) + sqrt(9))*-3)\/(sqrt(288) + (sqrt(288) - ((sqrt(288)*1 - sqrt(288)) + sqrt(288))) + sqrt(288)) + -4.\nAnswer: -4 - sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 85, 4.\nAnswer: 1, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (8 - -2 - 5) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = -42*m - 353353 + 354505 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:56 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 51. Calculate the remainder when s is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t + 49 = -51. Let z be 123\/7 - (t - 312\/(-56)). What is the greatest common divisor of z and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-380368)\/(-48) + (-1)\/6*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61076 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1.914, -3, 0, 2, -1.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 142.8?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, -4, 1, 44.\nAnswer: -4, -2, 1, 21, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 915 and 65697?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79207, 79208, 79209, 79210, 79211, 79212?\n\"Answer: c + 79206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 656, 1788, 3834, 7250, 12492, 20016?\nAnswer: 30278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 24 + 15 + 11)*(3 - l - 3).\nAnswer: -4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpvppprrp. What is prob of sequence pp?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/369, -0.3, -0.2, -1\/2?\nAnswer: -2\/369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/896 and 125\/6.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + 23. Does 5 divide (p\/16)\/((-3)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 215358 and 27.\nAnswer: 1938222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**5 - w**4 - 2*w**3 - w**2 + w + 1. Let a(h) = h**5 - 56*h**4 - 152*h**3 - 36*h**2 + 231*h + 6. Let g(x) = a(x) - 6*t(x). Solve g(u) = 0 for u.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.201345 litres in millilitres?\nAnswer: 2201.345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*z + 20, 2*r - 3*z - 20 = -0*z. What is the third derivative of 5*a**3 + 17*a**6 - a**2 + 85*a**4 - 85*a**r - 76 wrt a?\nAnswer: 2040*a**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:53 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:47 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(1\/4)\/j)\/(j*j**(-6)))\/(j*j**(4\/7)*j*(j\/j**(-4\/3))\/j)*(j**(-1\/3))**(-31)*((j*j**(-1\/3)*j)\/j)**(2\/145) assuming j is positive.\nAnswer: j**(154537\/12180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:51 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4 + 822*w**3 + 53439*w**2 - 112692*w - 165312 = 0.\nAnswer: -164, -112, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 + 0*b**2)*(b + 5*b**2 + 6 - 58*b**2 - 4).\nAnswer: -53*b**4 + b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44311 - 2?\nAnswer: 44309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32936914?\nAnswer: 2, 16468457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43\/9 - (-9)\/(486\/12). Suppose -17*d = -f*d + 468. Let n = d + 36. Sort 0, 1\/14, n.\nAnswer: n, 0, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 7*n + 3*n + 5, 5*d = -n + 14. Let c(k) = -3*k**3 - 5 + 2*k**3 + 7*k**2 + 3 - d + 2*k. Give c(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/29 (b) 22 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13899?\nAnswer: 3, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/20 - h**4\/4 - 5*h**3\/6 - 5*h**2 - 381*h. What is c(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22 and 0.23.\nAnswer: 22.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 14*r**2 - 12*r + 29. Let w(o) = -o**3 + 2*o**2 - o + 3. What is -d(m) + 9*w(m)?\nAnswer: -10*m**3 + 4*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:37 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-693)\/1716)\/(((-72)\/39)\/(-4)).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l = 39*l + 216. What is the hundreds digit of ((-66)\/(-4))\/((15\/l)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Suppose -5*n - 2*s + 36 = 0, s + 21 = x*n - 2*s. Suppose a = n*a + 195. Calculate the common denominator of a and -53\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*p - 99*p + 408 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -8*g - 21, -7084 = 4*v - g - 7082 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 161?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-380)\/247) + -2.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37066952*c**3*h**2 + 3*c**2*h**2 - 2150566*c**2 wrt c?\nAnswer: -222401712*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-8))\/(6\/4))\/((-64)\/(-128))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/1)\/(-2 + 0). Suppose -k = -3*w + 3, 5*k + 83 - 13 = 4*w. Let c be k\/(-4) - 2\/4. Solve d*o - c = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = 2*q + 2*q. What is the least common multiple of q and 4?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*h + 3*a, -h + 3*h = -4*a. Let q be 28\/8 - h\/4. What is the third derivative of 12 - q*v**3 - 3*v**2 - 12 wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -680 + 1129. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -287 and -119.\nAnswer: 34153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -914\/9. Let d = 10.2 - -36.8. Let i = -43 + d. Which is the closest to 1? (a) 3 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21.66765 grams?\nAnswer: 0.02166765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r + 7. Let y be g(-7). Suppose -3*a + 4*x - y = 6, 3*x = -5*a + 17. Find the first derivative of 2 - 2 + 3*k + a wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -y, 2*y - 94*p + 177 + 313 = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -651, 6, -133 in descending order.\nAnswer: 6, -133, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 37. Let h(v) be the third derivative of -v**6\/120 - v**5\/10 + v**4\/24 + v**3 - v**2. Give h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 474)*(-1890)\/504. Let o = -1777 + v. Suppose -9\/2*l - o*l**2 + 3\/2*l**4 + 13\/2*l**3 - 2*l**5 - 1 = 0. What is l?\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g - 35. What is the tens digit of f(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 539.9999 millennia?\nAnswer: 539999.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 - 34 = -3*x. Let f = -16 - x. Differentiate 3 - 5 + 4*a**4 - 6*a**4 - f*a**4 with respect to a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2480 = -2*i, -87*u + 94*u = -i - 1253. Is i >= -1237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10167544?\nAnswer: 2, 1270943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by -43.\nAnswer: -140\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -43*f**3 - f**2 - 3*f + 1. Let u be k(2). Let t = u - -618. List the prime factors of t.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*b**2 + 162081*b + 185727747?\nAnswer: 66*b + 162081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115217*d**2*g**3*n**3 - 5*d**2*g**3 - d*g**3*n - d + 172*g**3*n - 3*g**3 - g**2*n**3 - 35*g*n**2 wrt d?\nAnswer: 230434*g**3*n**3 - 10*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**3 - 17*o**2 - 8*o - 11. What is v(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/171053 + -5110892566\/1197371. Let j = t + 4280. Let x = -12 + j. Sort x, 0, 3.\nAnswer: x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Suppose 0 - 12 = -2*w - l*t, -3*w = 4*t - 16. Solve 4*x = 3*c - 12, -4*c + 4*x + 4 + w = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135 + 134.574. Let b = -0.126 - j. What is the fourth smallest value in -100, b, 2\/3, -3\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -3, 1 in descending order.\nAnswer: 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 4*o**2 - 2*o. Is 3 a factor of l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -6)*374597\/469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 8 = 257*b - 255*b, 2*z = -3*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*s - 36. Let u be (-24)\/s*1\/(-4). Let a = -31 - -37. Sort 0, a, u in decreasing order.\nAnswer: a, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 c, and 1 i when three letters picked without replacement from cicjc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(192)*3 + 4)**2.\nAnswer: 384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddsdddssdddssddsd. Give prob of picking 2 d.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 365?\nAnswer: 1\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 108. Determine w(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from {j: 1, u: 3, l: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43\/6 + -11\/2. Suppose 5*m = -15 - 15. Let n(w) = -w**3 - 6*w**2 + 1. Let z be n(m). Which is the closest to 0? (a) o (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Suppose -b*x = 4*d - 8, -15 + 4 = -4*d - x. Suppose 4 - 16 = -d*z. Calculate the greatest common divisor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*g + 350 = -155*g + 86 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10123 - -21303203321?\nAnswer: 21303133132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 - -3 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2868 - 221.\nAnswer: -3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -825 (b) 0.24 (c) -4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1285 = 5*y - 315. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -35*p**2 + 820*p + 10204. What is x(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - -3.03. Let b = 3.2 - a. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -15*h. Let w(v) = -2*v**2 - 4. Let k(n) = n**2 - 2. Let m(i) = 2*k(i) - w(i). Give c(m(s)).\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 + 2 - d**3 + 0*d**2 - 3*d - 5. Let v be 1\/((0 + 2)\/10). Suppose -l = -v*l + 16. Give m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1975 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-45)*f*f\/f**(15\/8)*f**(-36)*f\/(f\/(f**(-38)\/f)*f) assuming f is positive.\nAnswer: f**(-967\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21415, 23538, 27077, 32032?\nAnswer: 38403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 + -491. Which is the second smallest value? (a) 3\/7 (b) -5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8410?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 31030\nAnswer: 44\/15515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -12 - (-9 + 20 + -7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. What is the third derivative of 6*b**f + 41*b + 6*b**6 - 41*b wrt b?\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 27*l**2 - 2*l + 56. Let d be m(27). Suppose -5*o - 14 = 3*a + 29, 0 = -d*o - 10. List the prime factors of (2\/4)\/(a + 19999\/3332).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235\/374 - 9076\/5049. Calculate the common denominator of n and 83\/126.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by 23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 6*s. Let w be f(-5). Suppose -5*a - 8 = 3*k, 4*k - 3*a = -w*a - 6. What is the third biggest value in 0.06, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 3\/2*f**3 - 3\/5*f**5 + 0*f**2 + 0 + 31*f - 11\/4*f**4. Factor t(x).\nAnswer: -3*x*(x + 3)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from hhghhhhhhgghhghhhg.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(187)*1)\/(-4*sqrt(1331)*2))**2.\nAnswer: 153\/1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100070*u**2 + 300212*u**2 - 100070*u**2 - 100074*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {p: 1, c: 19}.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 12:31 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from xxgxgxyyggfyvyfxgyf.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 978061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*(11\/(-66))\/((-12)\/(-72)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axv when three letters picked without replacement from aaaavxv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 12*p - 2*p - p**2 + 1 - 9. Let x be w(9). Find the common denominator of 65\/6 and 190\/(-45) - (-3 + x).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose 2*w - 4 = -x*w. Suppose 14 = 2*s - w. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - 1\/((-3)\/(-6)). Let a(w) = w**2 + 4*w + 4. Let z be a(p). Suppose z*m = 24 + 8. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1366*v**2 - 1357*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -234*k**5 - 269*k wrt k?\nAnswer: -4680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*d + 113 + 87. Suppose d*u - 120 = -108. Solve 5*i = 2*h + 14, 3*h + 0 + u = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2 - 4*x + 4 - 5 - 1. What are the prime factors of m(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*w - 1. Let j(s) = -s - 1. Let x(n) be the third derivative of 1\/6*n**3 - 42*n**2 + 0*n + 0. Determine w*j(l) + 2*x(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*(sqrt(22)\/sqrt(2))**2 + ((sqrt(132) + 1*sqrt(132))\/sqrt(12) + sqrt(11))**2)*-3.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69657 is divided by 387.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 0*c - 9907*c**2 + 11794*c**2 in the form j*c + h + a*c**2 and give a.\nAnswer: 1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/((sqrt(18) + (sqrt(18) - sqrt(216)\/sqrt(12)))\/sqrt(6))*4)\/((-1*sqrt(18) - sqrt(18)) + sqrt(4)\/sqrt(288)).\nAnswer: -48*sqrt(3)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1260938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 3*x - 7, -6*o - 2 = -8*o - 2*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (4282\/12 - 2). Let g = 355 - f. Is g equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, e: 4}. Give prob of sequence ssse.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:07 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.1 + -0.9. Let t(h) = -2*h + 37. Let o be t(21). What is the closest to -2\/3 in 2\/17, s, o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12491454 or 0.2?\nAnswer: -12491454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 0*f + 32\/3 + 14\/3*f**4 - 64\/3*f**2 - 2*f**5 + 8*f**3 = 0.\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31 and -90127368.\nAnswer: -90127337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2601 - -2524)*1\/(-385).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.626108 - -15.68. Let d = 0.054 - i. Round d to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -3.39. Let x = j + -23.6. Let g = x - -27.0017. Round g to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -61 (b) 0.317 (c) -3 (d) 0.3 (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 56 = 2*h - 0*h, 3*o + 5*h - 50 = 0. Calculate the smallest common multiple of 2 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9281, -1, -14, 13, 5 in decreasing order.\nAnswer: 13, 5, -1, -14, -9281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13451*2226.\nAnswer: -29941926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -9.9. Let i = -1.3 - h. What is the closest to 1 in 4, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*q**2 + 0*q + 3*q - 6*q - 3*q**2 to n*q + t + m*q**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x**4\/9 + 746*x**3\/9 + 4231*x**2\/9 - 20924*x\/9 + 1220\/3 = 0. Calculate x.\nAnswer: -61, -10, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 35695, -1\/5, 1, -2?\nAnswer: 35695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*q - 45 + 56, 5*d - 3*q - 17 = 0. Suppose 0 = -4*f - l + 724, -592 - 132 = -d*f - 5*l. What is the least common multiple of 9 and f?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 5 + 4*w**2 - 2*w + 0*w. Suppose 2*i + 2*p + 0 = -14, i + 5*p + 15 = 0. Let q be v(i). Calculate the highest common factor of 38 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 15*q - 5670 = -5*s, -q = -5*s + 5645. Suppose -36*t + s = 410. Solve t = -21*r + 26*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 7 - 69 + 38 + 13 + 344*o to g*o + y and give g.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17628.1625 - -11253.839. Let j = 28874 - s. Let c = j + 8. What is c rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - l**2 + l + 5. Let m = -11 + 15. Suppose 2*t + m*i - 32 = 0, 3*t + i = -2*i + 36. Suppose t*g = 3*g. Calculate a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01209 and 0.1.\nAnswer: 0.001209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Solve 0*c + 4*c - 5*b + 12 = u, 5*c + 15 = 2*b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 5:05 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 3*o**2 - 9*o - 3. Calculate the remainder when y(-4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 24. Suppose h - v = -2*k, -2*h + 6*h = 3*k + 148. Calculate the remainder when h is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82107 - -246337\/3. Factor 0 + 8\/5*o**2 - u*o**3 + 0*o - 14\/15*o**4.\nAnswer: -2*o**2*(o + 6)*(7*o - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -7. Suppose k = y*n - 5, 3 - 28 = -5*k. Which is greater: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -5. Suppose -4*h + c + 82 = -11, 2*h = f*c + 51. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768117305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {k: 1, e: 2, r: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 1. Let j = -27405\/236 - -494\/59. Let h = w + j. Find the common denominator of -133\/18 and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.163 and -0.181.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 226997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -90, -12, -27, -2 in increasing order.\nAnswer: -90, -27, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 2*d - 2*d + 62 in the form s*d + o and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -13*a**2 - 13*a - 4. Let i(u) = u**3 - 5*u**2 + 2*u + 2. Let m be i(4). Let j(k) = -11*k**2 - 12*k - 3. Let g(r) = m*j(r) + 5*y(r). Determine g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5240345 or 0?\nAnswer: -1\/5240345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/7 of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) - 7\/14. Suppose 3*s + s + 20 = o, 52 = 2*h + 4*s. List the prime factors of 16*-1*h\/(-24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a48a66 (base 11) to base 14\nAnswer: 31a87a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 66 = 2*c. Let w(x) = 2*x + 4 + 11 - 4*x + 3*x. What is the remainder when c is divided by w(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 264?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683763, 683762, 683761, 683760, 683759?\nAnswer: 683758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-12) - -2 - 3. Sort -0.5, -0.3, s.\nAnswer: -0.5, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40715212, -40715211, -40715210, -40715209, -40715208, -40715207?\nAnswer: -40715206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -7. Let y(q) = -q**2 - 6*q. Let u(z) = z + 1. Let v(s) = -3*u(s) - y(s). What is v(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -9*f + 31. Let h be (f\/4 - 1)\/1. Let b be (-1)\/3*(h + 2). Sort b, -5, 3 in increasing order.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 6*u - 1440. Suppose 4*c + u = 532. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011101 + -10100001?\nAnswer: 11111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -8, -129, -1, -11, 3 in descending order.\nAnswer: 4, 3, 0, -1, -8, -11, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17870955 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(170\/(-35) + 5). What is a rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 12. Let s = -158 + 163. Let j be z(s). Let u = -1 + 0. Sort u, j, -5 in ascending order.\nAnswer: -5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07019026 + -0.0702. What is g rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 44 = 41 - 42 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*d + 1 + 5*d + 6*d - 8 wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*y, 5*y = -11*g + 10*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001349724 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 10. Suppose 1 = -5*s - l. Let z be s\/(-6) - 29\/(-3). Solve 4*v = -v + 3*g + z, -5*v + 15 = -2*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 1. Let c = h + 7. What is the lowest common multiple of c and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4381207.1 and 0.2.\nAnswer: -876241.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11502 (base 6) to base 12.\nAnswer: -b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l**3\/5 - 27454*l**2\/5 + 2112*l\/5 = 0. Calculate l.\nAnswer: -1056, 0, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 14*h - 299. Calculate the greatest common factor of 46 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from uuzutzzu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108584406*o**3 - 224573078.\nAnswer: 325753218*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8850 = -0*s. Suppose -3*m = 2*m - s. Is m\/10 - (1 + 0) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13313 (base 4) to base 15.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r**5 + 0*r**4 + 0*r**4 - 7*r**5 - 1 + 1 + (-2*r**2 + 3*r**2 + 0*r**2)*(-r**3 + 0*r**3 + 3*r**3) + 3*r**5 + 3*r**2 - 3*r**2.\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 - 3\/3). Suppose r = -5*p + 147 + 53. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144 is divided by 1070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 22*r**2\/5 + 52*r\/5 + 32\/5.\nAnswer: 2*(r + 1)*(r + 2)*(r + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 40014263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.19, 8, -1\/3, -7\/3 in increasing order.\nAnswer: -4, -7\/3, -1\/3, 0.19, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15043 or -3?\nAnswer: 15043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a + 8909 = 9157 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82736309 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076137 divided by -22.\nAnswer: 1076137\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 40 = 5*l, -2*b + 4 = 2. Let m be (l\/(14\/20))\/2. Suppose -m*s + 140 = -85. Calculate the remainder when 177 is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 18*z + 5. Let w be t(18). Suppose w*g - 3*k - 587 = 0, -356 = -3*g + k - 3*k. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.53 rounded to 0 dps?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2187770 divided by -126\nAnswer: -1093885\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -627326\nAnswer: -1\/313663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 - 13*m**2 - 59*m + 116. Give f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.08 + 0.08. What is the closest to h in 4\/5, -38, 1, 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5595)\/1492)\/(-4*(-20)\/288*3\/10)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-72)\/(-42)*(-56)\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 6*j**2 - 1. Let m be ((-1)\/(-1))\/(2*1\/56). Suppose -18 = m*h - 25*h. What is p(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 - 9 = 0. Suppose -i - 2*i = 4*o - 27, -4*i + 8 = -a*o. Suppose o*h = -h + 28. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 2, 5, -50, -1, 2\/51, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/2 - -5. Let m = -1.584 + 1.184. What is the biggest value in z, 1\/2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2185340629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l = -48 + 190. Let n = 0.3 + -0.8. What is the second smallest value in 2, l, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -20. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*w + 5*w - 11, 0 = -4*j + 5*w - 6. Let t be (-2)\/8 + (-252)\/16. Let l be 2\/(-8) + (-4)\/t. Is j equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7238 is divided by 6012.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -3) + -3 + (-5 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -72*g + 60. Let h(a) = 75*a - 58. Let y(c) = 6*b(c) + 5*h(c). Let o be y(-5). Calculate the greatest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**3 - s**3 - 2*s**3)*(-1 + 7 - 1 - 2*s) - 49*s**4 + 44*s**4 + 4*s**3 - 1 - s**3 to the form c + i*s**3 + d*s + v*s**4 + u*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34*(-3 - (-14)\/4). Let b(r) = -7*r - 18. Let n(g) = 20*g + 53. Let h(q) = x*b(q) + 6*n(q). Determine h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -5\/284, -4\/5 in decreasing order.\nAnswer: -5\/284, -3\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 - -128. Suppose -3*n = -x, 0*d = 4*d + n - 10. Let k(j) = 2*j. Let i(f) = f. Let s(o) = -9*i(o) + 4*k(o). What is s(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 188 - 187.99999929. What is w rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -53*o**7\/14 - 2*o**3 + 28*o + 100. Let x(d) be the first derivative of c(d). What is the second derivative of x(r) wrt r?\nAnswer: -3180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 5*t - 27, -3*s = -2*s + 4*t + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8331\/4 - 2098. Suppose -3*q + q - 376 = 5*d, -3*q - 4*d - 564 = 0. Find the common denominator of f and 2\/9 + q\/(-126).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27603*i**4 + 65*i**2 + 19*i.\nAnswer: -662472*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.2297 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 16, 20, 2, -44?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -716, -1316, -1660, -1616, -1052?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3670231?\nAnswer: 3670231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**5\/7 + 43550*t**4\/7 - 473932807*t**3\/7 - 4743379062*t**2\/7 - 3321362880*t\/7 + 8538631200\/7 = 0?\nAnswer: -9, -2, 1, 21780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + l = 5*l, -3*j + l + 17 = 0. Suppose j*k = -3 + 55. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2)\/(2\/(-6)). Let z be 3 + d + 65 + 3. Suppose b + z = 5*b. What is the remainder when 66 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*s + 7*s + 124, 5*s + 4*b + 166 = 0. Let d be 6\/15*s\/(-2). Solve 5*c = 4*o + 4, d*o + 5 = 5*c + o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s**5 - 627*s**4 + 28992*s**3\/5 + 16356*s**2 - 14784*s\/5 - 92928\/5 = 0. What is s?\nAnswer: -8\/5, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64349 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -38896 smaller than -38892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 + 2*o + 5. Determine r(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 7:07 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let c = 207 - 207. Let s = x + c. Solve -5*p = 3*q + 21, 0*p - q = -s*p - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4*k + 320, -5*k = -2*r + 377 - 39. Solve -4*v - 5*i = 0, -167*v = -r*v + 2*i + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (988*p + 111 - 91*p - 112)*(-p**3 - 4 + 4) as z*p**2 + l*p**3 + a*p + j + v*p**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*n**3*w**3 + n**3*w**2 + 2052*n**3 - 63*n**2*w**3 + 53*n**2*w + 2*n*w**2 wrt n.\nAnswer: 54*w**3 + 6*w**2 + 12312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 16.1. Let x = 0.9 + o. Let h be 5\/(-7)*(-2)\/5. Which is the third biggest value? (a) x (b) -0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(153) - sqrt(153)) + sqrt(153))**2*-3.\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -585, -1170, -1953, -2934, -4113, -5490?\nAnswer: -7065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -55, -75, -97, -121?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 - 14)\/(-6 + 7). Let j = -22 - -22.4. What is the nearest to x in 5, j, -3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/10*6\/(-4). Let m = -1.2 - -1.2. Which is the second smallest value? (a) m (b) 3\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(sqrt(99) + (-1*sqrt(99))**2) + -4)*-6.\nAnswer: 180*sqrt(11) + 5820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3602\/5? (a) -4.8 (b) 4 (c) 0.2 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 85, 165, 243, 319, 393?\n\"Answer: -l**2 + 85*l - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.22 - 1.23. Let g = z - -0.01. What is the second biggest value in 0.5, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 49*d. Let n(h) be the first derivative of 7*h**3\/3 - 521. Calculate j(n(q)).\nAnswer: 343*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 15, 4, -4, -2\/3 in descending order.\nAnswer: 15, 4, 0.1, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*z**2 - a**2*u*z - 1935762*a**2*z - 20*a*u*z**2 - 648*a*z**2 + 2*a + 35*u - 3 wrt a.\nAnswer: 6*a*z**2 - 2*u*z - 3871524*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8469 - -8468.9964845. What is s rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*o + 16818 = 0, 14*o = -4*z + 17*o + 13453. Let x = -785 + z. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.660169 decades?\nAnswer: 0.1660169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 4*v - 136 = -v + 2*v, v + 12*v = -2*n - 44 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdtd when four letters picked without replacement from {z: 2, n: 3, d: 4, r: 1, t: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*l**2 - 610*l**2 + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:36 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*k - 9*k**2 - 4 - 6 + k**2 + 10 as d*k + f*k**2 + r and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267.5 - 271. Let q = i + 3.5031. What is q rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 164. Calculate the remainder when 73 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -4*c**3\/3 - 2*c**2 + 8*c. Differentiate h(f) wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 80*d**3 - 75*d**2.\nAnswer: -5*d**2*(d + 1)*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -28729 (base 12) to base 6\nAnswer: -1112453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2914.377 to the nearest 10.\nAnswer: -2910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - ((-6 - -3) + 5). Let s be ((-1)\/((-2)\/(-3)))\/(c\/(-4)). Suppose -s*l = -5*i + 6, 0 = 4*l + 3*i - 7*i. Solve 0 = l*r - 8*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5212, 10422, 15632?\nAnswer: 20842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -6.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.01 - 5.01. Which is the third biggest value? (a) k (b) -4 (c) -0.1 (d) 89 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -10 + 2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 25, 2\/15, -4 in decreasing order.\nAnswer: 25, 7, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133719\/22 - -6077. Find the common denominator of b and 79\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 0*q**3 - q**3)*(-4*q + 2*q + 3*q) - 716*q**2 + 716*q**2 - 25*q**4 + (-5*q**3 - 4*q**3 + 2*q**3)*(-q + 0*q + 2*q) + 0*q**3 - 3*q**4 + 0*q**3.\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35703 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.4 - -1.4. Suppose -a - 3*c + 1 = 0, c - 5 = 4*a - 2*a. Sort k, 14, a.\nAnswer: k, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*i = -14*i + 27*i - 37485. Suppose -l + 114 + 12 = 0. What is the highest common divisor of i and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 517, 1248, 2199, 3370, 4761?\n\"Answer: 110*m**2 + 401*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -0.2, 0.5, 3\/2, -6\/11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-12)\/8 + 1). Suppose -5*m - 32 + 912 = w. Calculate the greatest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4\/11 (c) -4102 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -4)*3\/(-7). What is the second derivative of s - s - 5*s + 2*s**5 - p*s wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 2072?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13407863741.27 from -20.\nAnswer: 13407863721.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 837 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 5. Let n(y) = -2. Let b(m) = m**3 + 21*m**2 + 16*m - 76. Let x be b(-20). Determine x*a(c) + 10*n(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*r - 62, 0 = 5*r - 2*r + 5*z - 46. Let m be (-9)\/(-2) + r\/24. Suppose 3*o = 2*j + m, 0*j - j + 4*o - 10 = 0. Put 3, j, 1 in decreasing order.\nAnswer: 3, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 6*c**4\/5 - 2637*c**3\/5 + 42309*c**2\/5 - 182928*c\/5 + 81216\/5 = 0.\nAnswer: 1\/2, 8, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 15, x: 3}. Give prob of picking 2 u.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1214 divided by 1.\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 20*h - 47 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147100 and 441300?\nAnswer: 441300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 4. Let t be z(-1). Suppose 3*y + 0*n + t*n - 13 = 0, n = -y + 4. Put -2\/13, y, -0.1 in descending order.\nAnswer: y, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 254121790*x**2 - x - 113917508.\nAnswer: 508243580*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 70*k\/9 + 44\/3.\nAnswer: 2*(k - 33)*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4463 + 8580. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4 + -1 + 17*33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -v - 5*z, v - 5 = -z. Suppose v*f + 0*f**3 + f**2 + 8*f**3 + 2*f**4 + 9*f**2 = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2156.4 and -0.079.\nAnswer: 2156.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*x + 4 - 14 = 0, 2*j - 3*x + 10 = 0. Suppose 0 = -2*w + 3*t + 327, 0 = 4*t + 19 + j. Suppose -4*q + w - 28 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oolo when four letters picked without replacement from {l: 11, o: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*j = -78*j + 60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1364 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -6774, -1.\nAnswer: -6774, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 357\/2 + -177. What is the closest to 0 in -5\/6, -6, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/11, 0.5, -243, 939, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - z + 15 = -9, 3*u + 24 = 3*z. Let p be (u + 44\/8)*-8. Let d be 2\/p + 127\/6. What is the greatest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 97. Let f = 169 - 127. Let a be (d\/f)\/(1\/(-3)). Solve -c - 2 = 5*k - a, 6 = 3*c + 5*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/((y\/y**12)\/y*y)*y))\/(y\/y**(-2\/13)))**25)**(1\/18) assuming y is positive.\nAnswer: y**(-475\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w + 3*w - 432 + 450 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 2*k + 10 = 5*z + 4*k, 3*z - 263 = 38*k - 61 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let f be 39\/(-273)*14\/2. What is the third smallest value in r, -4, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 144*q**2 - q**2 + 3 - 129*q**2 + 14*q**2.\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(110)\/(sqrt(10) + sqrt(90) + sqrt(10))) + (sqrt(99) + 4 - sqrt(11)).\nAnswer: 4 + 14*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 - (65 - 191) - 109?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5702594 to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -57 + (2 - (-66)\/10)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4894285 * -3\nAnswer: -14682855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103408*o**4 + 25701*o**2 - 4*o + 1.\nAnswer: -2481792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + c**2 - 3*c**2 + (-c**2 + 4*c**2 - 2*c**2)*(-1 + 2 - 3) - 2*c**2 + c**2 + 0*c**2 + (6*c - 3*c + c)*(2*c - 5*c + 4*c) + 3*c + c**2 - 3*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v + 6 - 2*v - 122*v**3 + 125*v**3 + 0*v to the form p*v**2 + q*v + h*v**3 + f and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(275)*-1 + (-3*(2 + sqrt(44)))**2.\nAnswer: 62*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -23, 0.154, 1\/6?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/27)\/((r\/(r**(-6\/7)\/r))\/r))\/(r**(2\/5)*r*r**(-1)))**(-10) assuming r is positive.\nAnswer: r**(4406\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.167913 - -0.168. Round l to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(-15))\/(338437\/279700)\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 715.589km?\nAnswer: 71558900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 - (8 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -29, -3, 2, 38 in ascending order.\nAnswer: -29, -3, 2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122 (base 5) in base 9?\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-3 - (-12)\/(-3)). Suppose 5*b = 11 + 14. Let o be 31 - ((-20)\/(-4))\/b. Solve -5*v - c*y - o = 0, -2*y + 7*y = 4*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l - 45. Let b be 17 - (-12)\/4 - -2. Let h = l + b. Solve 3*k + h = 4*v + 2, 3*k = -3*v + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/45 - 2\/9. Is 0 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6810*s + 68110. Determine z(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*b + 23, b - 18 - 12 - 6 + 9 = 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/6 + 11*q**3\/6 - 4*q**2. Let o be w(8). Let j be (12\/o)\/(2\/(-7)). Solve 4*h + 0*h = -j*f + 18, -f - 3 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/5*126\/18.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32\/5, 0, -0.077?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 21.42802\nAnswer: 12.856812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -884?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 10. Suppose 6*m + 3*k - 7 = m, 0 = -p*k - 5. Let x be m*((-2)\/(-2))\/1. Solve 0 = 2*v - 4 - 0, 4 = -5*s + x*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3, -3*z = -4*y - z + 62. Let s(q) be the first derivative of -q**2\/2 + 18*q + 2. Let j be s(y). Solve m = j*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 247, 5 in descending order.\nAnswer: 247, 5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:52 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 27 + 2)*(70*t**3 + 164*t**3 - t - 67*t**3).\nAnswer: -5177*t**3 + 31*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(3 - 1) - 2. Suppose 0*t = 5*t - 5. Suppose f + t = k. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 2 - 2 + (-2*s + 2*s - s)*(3*s**2 - 2*s**2 - 2*s**2) - 4 + 4 - 3*s**3 + 16*s**3 + 50*s - 50*s + 3*s**3 + 0*s**3 - s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*s - 2 = -h, 6 = 2*h + 2*s. Let p be (h + 1\/(-1))*-1. Let g be 14\/6 - p\/6. Let l(k) = k - 5. Determine l(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**2 + 23*v**2 + 27*v**2 + 52*v**2 - 141*v**2 + 15*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7181682, 14363396, 21545110?\nAnswer: 28726824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2 + 22594553*n - 94035863 wrt n.\nAnswer: 6*n + 22594553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 48, -7, 0.3, -0.2, 0.13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/11)\/(-3)*(-1494317)\/6681.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13490 and 13488 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -3. Suppose 18 = m*q + 6. Let c be (-6 + 6 - 116\/(-14)) + 4\/(-14). Solve q*h + 2 = 2*p + 3*p, c = 4*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = a, 4*a - 1635 + 1636 = -u. Solve 3*j - 1 = 5*s - 21, a = -3*j - s + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -269*a**5\/5 - a**4\/2 + 557*a**3\/3 - 490. What is the third derivative of o(u) wrt u?\nAnswer: -6456*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28154, 55617, 83082, 110549?\n\"Answer: o**2 + 27460*o + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 67 = -2*h, -h + 4*h = 4*c + 112. Let o = h - 11. Calculate the remainder when 49 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5375.6613 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -287*p**2 + 18*p. Let m(i) = -68593*i**2 + 4305*i. Give 6*m(r) - 1435*n(r).\nAnswer: 287*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3001418*l*q**4 + 3*l*q**2 + 16550*l + 4*q + 1409 wrt q?\nAnswer: -12005672*l*q**3 + 6*l*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 3, -1 in descending order.\nAnswer: 72, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 15*b**2 - 11*b - 30. Let y be k(14). Let i = 22 - 10. Suppose 3*u - 24 = i. Calculate the highest common divisor of y and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426986 divided by 7.\nAnswer: 60998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 70534\/(6 - (7 - 3)). What is the derivative of -2*j**3 + 0*j + 0*j + c - 35229 wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 greater than 13.813216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-6)\/9*-6. Suppose -a + 1 = -h. Solve -a*r = -4*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24611 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 287*b*t + 4*b*v**2 + b*v - t**2*v**2 - 2*t**2 + 2*v**2 wrt v?\nAnswer: 8*b*v + b - 2*t**2*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}