diff --git "a/data/dm_maths/full_data/1550_11255.jsonl" "b/data/dm_maths/full_data/1550_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1550_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the common denominator of 29\/894 and 103\/3000?\nAnswer: 447000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -53, -50, -55, -74, -113, -178, -275?\n\"Answer: -i**3 + 2*i**2 + 4*i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 15 + 18. Solve -x + v*s - 13 = -0*s, 3*x + 3*s + 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342, 2363, 7852, 18543, 36170, 62467?\nAnswer: 99168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 59316?\nAnswer: 415212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*w**3 + 28*w**3 + 138*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.47 - 0.47. Let i = -0.361 - -1.361. Which is the closest to -7? (a) 3\/16 (b) i (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 7*s - 13. Let v be x(-5). Let g = 1\/33 + 61\/165. Which is the closest to g? (a) v (b) 1\/7 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*j**4 - 280*j**3 - 32*j**2.\nAnswer: -4*j**2*(j + 4)*(17*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 + 2*m**2 - 2*m. Let a(z) = 4*z - 7*z**2 - 10*z**3 + 3736 - 3736 + 3*z. Give -4*a(o) - 14*w(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + (sqrt(17) - (-1 + sqrt(17))))**2 + sqrt(272)*3.\nAnswer: 33 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {s: 3, w: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 11*a - 9*a - 28, 5*a = 3*k + 43 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001151948906 to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0 + 9 = 0. Suppose -p*w + 9 + 12 = 0. What is the highest common divisor of 77 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-2*u**4 + 4*u**2 - 4*u**2) + 677*u**2 + 1644*u**4 - 1392*u**2 + 707*u**2 to g*u**2 + n + k*u**4 + i*u**3 + q*u and give k.\nAnswer: 1646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + k + 52. Does 10 divide f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) 4123 (c) 20 (d) 18\/7 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 8687 - 4354 - 4348 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 353 (b) -20 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5928 + -4.5928. Sort 9, y, -11, 1, 2 in ascending order.\nAnswer: -11, y, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-12))\/(8\/(-36)). Suppose c*q + 2*w = 86, -w + 0*w + 134 = 5*q. What is the remainder when 76 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87180385, 87180382, 87180379?\nAnswer: 87180376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 605a59 (base 13) to base 5\nAnswer: 1033144012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368 - 31 = 57*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by -1 + -2 + (10 - 4) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w**2 - 13*w - 9. Let r(s) = -3*s**2 + 21. Let y be r(3). Let h(a) = 4*a**2 - 6*a - 4. Calculate y*q(j) + 13*h(j).\nAnswer: 4*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {r: 3, g: 3, o: 2, u: 7, a: 2, w: 1}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-329)\/6)\/((-56)\/84). Let t = 649\/8 - v. What is the common denominator of ((-3)\/6)\/((-2)\/106) and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -169842 at least -169841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 2549\nAnswer: 26\/2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -252, -262, -274, -288, -304?\n\"Answer: -u**2 - 7*u - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -133136*t + 1198286. Determine u(9).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i + 1 = 0. Suppose -2*r + 0*r = -5*x - 19, 4*r = -5*x - 37. Let q(a) = -19*a + 2. Let u(f) = -10*f + 1. Let d(k) = r*q(k) + 5*u(k). Give d(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*b + 874 = -46*b - 32*b for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 2\/9, -1\/11, 4, 1\/91?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 9306 and 22\/987 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20190 * 505.6.\nAnswer: -10208064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2 + 3 + -2). Is (14\/(-2))\/(t\/(-5)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5312382882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55395887.\nAnswer: 19, 29, 100537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 61\/4. Let d = -2419 + 7297\/3. Which is the third biggest value? (a) d (b) 3\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2))\/(2 + 21\/(-6)). Let s(m) = -2*m + 5. Let z be s(a). Is ((-6)\/4)\/(z\/(-122)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(1\/4)))**(-48)\/(((m**(-1\/2)\/m)\/m)\/(m*m\/(m\/(m**2\/m*m))*m)) assuming m is positive.\nAnswer: m**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*g - 11384 = 0, -7*g + 5*g - 2 = 0. Suppose -2*x + i = 5*p, -3*p - 3*x = -6*x - 2286. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 275156 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-3 - (-18 - -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -324 * 2808\nAnswer: -909792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 40 = -0. Let v = -31 - -22. Let p be (-8)\/v*144\/32. Which is the biggest value? (a) 2\/9 (b) p (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:36 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-3))**(8\/7))**(10\/3))**(-6\/25))**14 assuming b is positive.\nAnswer: b**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 539476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (-1)\/(-4) - (-55)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ljnncjdl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let g(t) = -117*t - 2. Determine g(k(u)).\nAnswer: 234*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 - 355006*u - 279.\nAnswer: -355006*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -350, -811, -1460, -2297, -3322, -4535?\nAnswer: -5936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 102 - -5?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/6287 or 1?\nAnswer: 4\/6287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(4 + 3 - 11)*(-5*v + v + 5*v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 913 + -928. Let l = 361\/5 + -72. What is the second biggest value in j, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/7)\/u*u)**(-23\/5))**46 assuming u is positive.\nAnswer: u**(4232\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2*d - 484 = -58*b - 5*d, -53*b + 52*b = d - 13 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**4\/12 + y**3\/2 + 2*y**2 - 29*y. Let r(m) = -2*m**2 - 2*m - 3. Give 3*r(j) + 2*s(j).\nAnswer: -4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 4*f + 5*f. Let h(t) = 695*t - 695*t + 2*t**2. Give h(g(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -368 - -358. Put u, -3\/8, -5, 0.4 in increasing order.\nAnswer: u, -5, -3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 - -133. Calculate the least common multiple of 54 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 119 = 3*m, -5*m + 4*p + 732 = 929 for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -332 * -0.05\nAnswer: 16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 384623501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.65 - -0.45. Let p = -9 - k. Let h be (1 - 1) + (-1)\/(-3). What is the biggest value in -5, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*y = -0 - 1, 5*o + 3*y = 16. Solve o*x + 2 = 4*i, 3*i - 2 = i + 3*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.6 - 26.3. Which is the second smallest value? (a) y (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62555 + 62517.231. Let y = c + 0.369. Round y to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 - 1048*y**2\/7 - 28262*y\/7 - 185900\/7.\nAnswer: 2*(y - 550)*(y + 13)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -182*l - 86. Let i be v(-8). Let d(c) = c**3 + 1365*c + 7*c**2 - c**2 - i*c + 5. What is d(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 430\/(-5)*(-5)\/(15\/36). Suppose y + 922 = 2*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 18 = z + 4*c, -4*c + 12 = -4*z. What is the first derivative of 3*y**z + 4 - y**2 - 8 - y**2 wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191015 is divided by 29048.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.6 - 27. Sort g, 0, -3\/7 in decreasing order.\nAnswer: 0, g, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/18 and -95\/3965484?\nAnswer: 11896452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3 = -x. Suppose 0*k = -k + x. Sort k, -3, -4 in ascending order.\nAnswer: -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356411?\nAnswer: 3, 7, 64591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/((-6)\/72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -1\/5, 0, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2418, -4672, -8416, -13650, -20374, -28588?\n\"Answer: -745*w**2 - 19*w - 1654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.819891 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12918 - 775127\/60. Calculate the common denominator of -83\/10 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -6*a + 246. Suppose 4*i = -4*v - 0*i + 4, 7 = 2*v - a*i. Let y = 0.39 + 0.01. What is the closest to -3 in y, -2\/3, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let o(m) = 20 + 8 - 2 - 2211*m - 2202*m + 4399*m. Determine b(o(f)).\nAnswer: 14*f - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 122*o**2 + 3*o - 66. Let u(j) = -j**2 + j - 14. Calculate -d(q) + 5*u(q).\nAnswer: -127*q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - 1515?\nAnswer: -14b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2140 - 1443. Suppose -t = -6*r + 233. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 17*f + 17 as d + q*f and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*u + 31*u + 5 + 2*u**4 wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*b, s + 1 = -0*b - 2*b. Suppose 0 = 4*f - 18 - 2. Let x = s + f. Solve -5*k + 12 + 8 = x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/24*4 + (-274)\/(-6) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-128)\/6*12\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5 + -1)) + (33 - (17 + 19))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 14 - 16 - 79. Let r be i(-38). Sort r, 3, -6 in increasing order.\nAnswer: -6, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 3*u, 4*w + 1 = -4*u + 5. Suppose 3*m + w*m = -3*p - 129, -2*m = 8. Let o = 48 + p. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Suppose 16 = 3*d + 3*j - 14, -5*j = 25. Let m(k) = d*k**2 - 16*k**2 - 8*k + 0*k. Give m(h(v)).\nAnswer: -4*v**4 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210093*n**3 - 2*n**2 - 178920.\nAnswer: -1260558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 16 = -0*v. Suppose -5*k - 3*i + 48 = 0, -v*k - 50 = -9*k - 5*i. Solve 3 + k = 3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(252) + -2 + 2 + sqrt(63)\/(-4*sqrt(54)\/sqrt(6)))**2*4.\nAnswer: 143143\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z + 4. Give r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 9*s**2 + 2*s + 13. Let u be o(-9). Sort -4, -9, u in descending order.\nAnswer: -4, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/(-17) + 4*1. Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkhk when four letters picked without replacement from {h: 16, k: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 122639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-63)\/14)\/(1*-6))\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n. Let l(v) = -5158*v + 3. What is l(a(j))?\nAnswer: 15474*j + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3221*c + 1606*c - 4*c**3 + 1615*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/9 - (-1032)\/216. Let u(g) = -3*g**3 + 8*g**2 + 8*g - 8. Let h(a) = 2*a**3 - 5*a**2 - 5*a + 5. What is w*u(q) + 8*h(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -2\/5, -1.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*l + 3 = 0, 10*l = -4*q + 13*l + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -627563*-0.1\nAnswer: 62756.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127\/492 + 1\/123. Let a = -39 - -22. Let n = 20 + a. Is n not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tssskttsttttsstktt. What is prob of sequence tks?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - 4*a**2 - 2*a - 5. Let o be d(-4). Suppose -90 + 5 = -5*b - 5*x, -4*b = 3*x - o. Solve -b = 4*h - 8*h + 4*s, 6 = -h - s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 7:52 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*n)*((-2*n + 5*n - n)*(-1 + 2 - 2) + (0 + 0 + 2)*(1 - 1 + 5*n) - 1 - n + 1 - 2*n + 2 - 2).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000191867 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 974 times 1?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 20 = 30*v. Sort v, 2, 0.\nAnswer: v, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1839 divided by -6.\nAnswer: 613\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00454721 rounded to four dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 189*p**3. Let f = -722 - -724. Let q(b) = -5*b**3. What is f*s(m) + 77*q(m)?\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/4 - 8263*r**4\/4 + 115471*r**3\/4 + 123735*r**2\/4 = 0.\nAnswer: -1, 0, 15, 8249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (0 + 30 + -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(605) - -3*sqrt(605)).\nAnswer: sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 + -506dc?\nAnswer: -5070d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17132\/9 + -1898. Find the common denominator of 11\/3 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 2. Let f be a(1). What is the second smallest value in 0, -2, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = 4*z - 77*o, -o + 3 = -4*z - 0*z - 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.036 * -0.22.\nAnswer: 0.44792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160603.3 rounded to the nearest 1000?\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/18 - (-60)\/27. Solve f = l*y + 2, -y + 2 = 2*f - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 536*p + 12. Let r(h) = 110409*h + 2470. Let u(l) = -6*r(l) + 1235*x(l). Let m(i) = -3*i. Give m(u(o)).\nAnswer: 1482*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*u - 1403 = 0, -5*p + 11606 = -4*u + 4603. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = l + 2*l. Let s(g) = l - 4 - g**3 + g + g**2. Suppose 57*u - 73*u = 16. Let q(i) = i**2 + i - 2. Calculate u*s(t) + q(t).\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 129*l**2 + 97*l**2 - 30*l**2 + 189*l**2 + 74*l**2.\nAnswer: 459*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/15902 and -3\/68.\nAnswer: 540668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 63 = 78. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 34. Let o be y(14). Let z be ((-2)\/(-8))\/((-117)\/o). Let s = -3\/92 + 389\/644. What is the nearest to 2\/9 in s, z, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23356634 bigger than 23356634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -539*j + 268*j + 266*j. Let i(m) = -m. Calculate o(i(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 5*r + 3. Let h be k(-6). Let f be 0\/2 - (-88)\/(-66). What is the third smallest value in h, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from jffjfjfjfffffjffff?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1277006 and 1059746?\nAnswer: 560605634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2\/3 + 8*y\/3 + 4\/3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 - 15616*h**2 + 31216*h = 0. Calculate h.\nAnswer: 0, 2, 3902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 78*a**2 + 48. Determine x(-78).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 7*l**2 + 6. Suppose -7 = 2*b + 7. Let n be d(b). Suppose 2*t + 60 = n*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 886*o**2 - 70*o + 73. Let k be n(1). What is the highest common factor of 1397 and k?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*n**2 + 16*n - 27*n + 7*n**2 + 10*n.\nAnswer: -39*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a hour in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14948 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 3*r**2 - r - 3. Let s be q(2). Let n(d) = d**2 + 5*d - 5. Let v be n(-6). Sort -4, s, -5, v in ascending order.\nAnswer: -5, -4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1055*s**3 - s**2 - 4*s - 4. Let q be y(-1). Suppose 4*c = 2*v - 1054, 10*c - 7*c + q = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 2. Let t be x(-2). Suppose 0 = 2*q - 2*u - t*u - 108, -4*u + 202 = 3*q. Is q a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l**2. Suppose 0*s + 47 = 4*z + 5*s, -4*z - 3*s = -41. Suppose -z = -2*x + r, 2*r = -x + 7*r - 5. Let n(p) = -2*p + x*p - 5*p. Give d(n(f)).\nAnswer: 64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 83, 67, 27, -49, -173, -357?\n\"Answer: -2*g**3 - 2*g + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1233039 and 27126858.\nAnswer: 27126858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 35. Suppose 4*v = -0*v + u. Let r = 2 + v. What is the remainder when 10 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (19\/3)\/(-4 - (-91)\/21). Suppose c*u = 8*u + 88. What is the tens digit of u\/(-16) + 2 + 19\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 - 69 + 646 = 103*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**4 - 2*f**4 - 4*f**4)*(-f - f + 0*f) + 798*f**5 - 333*f**5 - 361*f**5.\nAnswer: 108*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*y + 4233, 0*g - 5*y = 3*g + 2515. Let p = 847 + g. Solve 2*u - p = -3*d + 19, u + 3*d = 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45816\/4482 + 2\/(-9). Solve 9 = -2*c - 3*k, 65*c - 68*c = k + x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*y = 2*n + 33, -5*n - 2*y + 24 = 0. Let r = -4 + n. Factor -7\/2*b**3 + 7\/2*b + b**r - 1.\nAnswer: -(b - 1)*(b + 1)*(7*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111001 - 1100111?\nAnswer: 11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30190 or -30188?\nAnswer: -30190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4, e: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 511527 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 10:41 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5812, -5, -11\/17?\nAnswer: 5812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 298289*s. Let g(t) = -261*t**2. Calculate g(y(o)).\nAnswer: -23222821482981*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -7\/6*y**3 + 1\/10*y**5 + 5*y**2 + 1\/120*y**6 + 0*y + 0 + 5\/24*y**4. Let b(t) = -t + 1. Let g be b(6). What is r(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2859*m**2 - 261*m - 1082. What is the units digit of c(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p**2 + 16*p**2 + 9*p - p**3 + 14 + p**2. Let z be i(10). Suppose -z*q + 7*q - 3 = -3*s, q = -2*s. Solve -q*u - 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-306)\/(-16)*(-12)\/9. Let j = z - -25. Let a = -1.9 - -2. What is the second smallest value in j, 2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 56\/48 + (-1)\/2. Suppose -2*o - 35 = 5*v, -3*o + 95*v - 98*v - 30 = 0. Sort 1\/2, o, x.\nAnswer: o, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 11*u - 116. Let y(p) = -70*p - 3728. Let s be y(-53). Give m(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3388) + sqrt(3388) + sqrt(3388)*-2 + sqrt(28)))\/(sqrt(4)*2*2 + sqrt(32)\/(sqrt(8) + 1*sqrt(8))).\nAnswer: 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1595942*o. Let h(r) = 17*r**2 + 7. Calculate t(h(y)).\nAnswer: 27131014*y**2 + 11171594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 152, 469, 1336, 3029, 5824?\n\"Answer: 46*t**3 - t**2 - 2*t + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from wwwiiwwwiwww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -34 + 0*y**2 - 856*y + 2*y**2 + 856*y. Let p(b) = 2*b. Determine p(f(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12c55 - 2?\nAnswer: -12c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8759, 8684, 8671, 8750, 8951, 9304?\nAnswer: 9839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 907.8913 millennia in decades?\nAnswer: 90789.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 27 + 74 - 25 - 22.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.679 - 0.7765. What is m rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 17*b**2 - 1 - b**3 - 6*b**2 - 10*b**2. Let y(n) = 2*n**4 - n**3 - 1. Let m(z) = 3*l(z) - 3*y(z). Find the third derivative of m(p) wrt p.\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-60)\/8 + 3\/6)\/(-1) + -6. Sort -5, 2, -24, b, 0 in decreasing order.\nAnswer: 2, b, 0, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -7 + -3 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*v**2 + j**2*v - 4685153*j**2 - 11112*j*v - 815*v**2 wrt j?\nAnswer: -4*v**2 + 2*v - 9370306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2542538783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1.04, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -6. Let r(a) = 14*a**2 - 1. Let t be r(l). Let n = 17 - t. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*h = -7, h + 0*h + 30 = 2*m. Calculate the remainder when 51 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 9*o + 24. Let g be h(5). Solve -2*d + 2 = 3*q - 4, -3 = -d - g*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 8, d: 4, x: 8}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxzpplxppxyep. Give prob of picking 1 y and 1 x.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/10 (b) 1\/2 (c) 4.8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/1)\/(-2) - -25. Let q be ((-6)\/(-9))\/(6\/g). Suppose q*b + 4*j - 80 = 50, 3*j = 4*b - 140. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1 + 2) - 20. Suppose 4*m - 228 = -0*m. Let x = m - g. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*y*z + 69*r**2*y - 591*r**2 + 6*r*y*z - 10*r*y + 101*y*z wrt r.\nAnswer: 2*y*z + 138*y - 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 9*t**2 - 12*t.\nAnswer: 3*t*(t - 4)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 11*o - 161118 + 161164 = 0, -3*m = -2*o + 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o**2 - 8*o - 30. What is the hundreds digit of a(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 - 28*u**3 + 2*u**3 + (1 - 1 - u**2)*(-4*u + u + u).\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8765 - -8763. Which is the second smallest value? (a) -3.7 (b) h (c) -0.048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*p = -50530 - 69470. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -258 + 260 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 767862 to the power of 1\/2, to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*z - 267677 = -231501 for z.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1303301112141 + 0?\nAnswer: -1303301112141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-960)\/(-18))*8\/2*(-2188)\/(-42666)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -6\/7 (c) -258 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220608.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957 - 378 + 447 = 114*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*v**3 - 579*v**2 + 15379*v - 403754822.\nAnswer: -9*v**2 - 1158*v + 15379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*x - 0*w + 5, 0 = 3*x - 2*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -31, 1, -4.\nAnswer: -31, -4, 1, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhabhaa. What is prob of sequence hhhb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, n: 3, k: 2}. Give prob of sequence kjkj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 44 - 8*h**3 + (0*h - 2*h - h)*(2 - 2 - h**2) + (2*h**2 + 2*h**2 + 16*h**2)*(-11*h + 3 - 1 - 2) to a + v*h + l*h**3 + m*h**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13018, -26034, -39050, -52066, -65082?\n\"Answer: -13016*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78513181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-171) + 0\/(-788) + ((-4)\/(-2) - 1)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -23, -2\/9, -4\/11 in ascending order.\nAnswer: -23, -1, -4\/11, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**3 - 315*q**2 - 2*q - 179. Give y(-45).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p + 12. Let h(m) = 4*m - 11. Calculate 7*h(k) + 6*x(k).\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 41, 36, 25, 8, -15?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133000743 to the nearest integer?\nAnswer: 11533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 229205*19.5\nAnswer: 4469497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f. Let r(s) = -66*s**2. Determine a(r(d)).\nAnswer: 528*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 219230.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2 + sqrt(3))**2 + 2.\nAnswer: -4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*h)\/(h\/((h*h*(h\/(h*h*h**9\/h*h))\/h)\/h)))\/(h**(-3)*h**6)*((h**0)**(-4\/19))**(2\/19) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 9*l**5\/20 - 7*l**4\/6 - 3*l**3\/2 - 29*l**2\/2 + 2*l - 48. Is p(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: What is the remainder when 597 is divided by 116?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = r - 20, -6*d + 10*d + 45 = -5*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -24273\/34 and -714 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71899?\nAnswer: 71899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 3) to base 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536127677.\nAnswer: 23, 1381, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -2971?\nAnswer: 594.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*o + 15*j - 131*o**2 + 3*o + 62 wrt o.\nAnswer: 2*j - 262*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*j = 17, -j = -3*g + 4*j + 20. Suppose -g*w + 51 = -w + h, -5*h = 4*w - 63. Suppose 65 = 5*f + y, -5*f + 3*y = -2 - 43. Does w = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 + 4.02. Let l = -8 + d. Which is the second biggest value? (a) -2\/5 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.2, 273, 406, -1\/2 in decreasing order.\nAnswer: 406, 273, 0.5, -0.2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55865479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 1410\/18 + ((-4)\/(-6))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1243725, 40, -3.\nAnswer: -3, -2\/1243725, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 2032.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 - n**5\/120 - n**3\/6 - n**2. Let u(w) be the first derivative of o(w). What is the second derivative of u(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122609221?\nAnswer: 7, 2502229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 3*u - 4. Let z be h(-4). Let n = 15 + -13. Let s(t) = 2 + 11 + t**3 - 5*t**2 + 6*t**n. What is s(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 339\/4. Sort -0.4, i, 1.\nAnswer: -0.4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {l: 4, d: 2, c: 6}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18837 and 1449.\nAnswer: 18837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 2*f**2 + 2*f**2)*(1 - 4 + 2 + (16 - 103 - 5)*(-8 - 5 + 0)).\nAnswer: -3585*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 161\/46*(2 + (-20)\/14). Let k = 7 - 4. Factor 2\/7*u**4 + 0 + 8\/7*u + 16\/7*u**s + 10\/7*u**k.\nAnswer: 2*u*(u + 1)*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**2 + 104*u - 30*u - 7*u**3 - 36*u + 8*u**3 - 35*u + 1. Let z be (-1 - 1)\/((-4)\/6). Calculate r(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70\/21 - 2\/(-3). Suppose -2*b = -3*k - 57, -2*b = -4*b + d*k + 60. Put b, 5, -1 in increasing order.\nAnswer: -1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5\/10 - 113*u**4\/10 + 673*u**3\/5 - 1116*u**2\/5 = 0.\nAnswer: -124, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.1*-752.\nAnswer: 21883.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*n**6 + 134*n**2 - 64*n**6 - 186*n**6 wrt n.\nAnswer: -20880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 107. Calculate the greatest common divisor of 36 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 494796*g. Let t(q) = -6*q + 3. What is b(t(u))?\nAnswer: -2968776*u + 1484388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1217*q**2 + 638*q**2 + 534 - 2*q + 577*q**2 as c*q + a*q**2 + o and give o.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -7*c**4\/10 - 122*c**3\/15 - 16*c**2 + 56*c\/5 - 448. Determine i so that r(i) = 0.\nAnswer: -7, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyyyzymyojjmoyjjjm. What is prob of picking 2 j and 2 o?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5196 = -30*x + 5406 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from rmhuhgtgu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3 - 0. Suppose 10 = x - 5*l, -c*x + 56 = 5*l - 74. Suppose 4*a = 13 + x. Calculate the remainder when 23 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 14*u**3 + u**2 - 2*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*j + 23 - 7 = 0, -2*j = -4*z - 44. Which is smaller: z or -25\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4752100 and 29\/65.\nAnswer: 61777300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Suppose 5*q + 35 = -z*t, 0*q - q + 17 = -t. What is the tens digit of (-3)\/12 + (-255)\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/sqrt(16))**2 + sqrt(5))*4.\nAnswer: 5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 - 4 - (-1)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 85267 = -6*q - 6*q. Calculate the highest common divisor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -312040 - -205421?\nAnswer: -102215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 0.3, -26.3, 4\/7, 2?\nAnswer: -26.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4605 + -1?\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 238, 417, 596, 775?\n\"Answer: 179*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -422 - -1016. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 927.7 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87471?\nAnswer: 3, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/7)\/w)\/w)**(-6)\/((w*(w\/(w\/(w\/((w\/(w*w**1))\/w))))\/w*w)\/w)**17 assuming w is positive.\nAnswer: w**(-303\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2. Let t(d) be the first derivative of d**6\/30 + 4*d**3 + 48. Let w(r) be the third derivative of t(r). What is w(l(c))?\nAnswer: 192*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 483 or 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 218720, 218730, 218740, 218750?\n\"Answer: 10*t + 218710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25081.8 rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q = -16, 2*r + 5*q - 120 = 0. Calculate the remainder when r is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85512263 to the nearest integer?\nAnswer: 9247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -13\/100*s**5 + 11*s + 1\/10*s**4 - 1\/30*s**6 + 0*s**2 + 0 + 0*s**3. What is r in g(r) = 0?\nAnswer: -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 c when four letters picked without replacement from {u: 4, m: 2, y: 6, r: 1, c: 4, v: 1}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136 in 1\/14, 19, -152?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*f = 14, -258*p - 96 = -247*p + 3*f for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 + 3 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(700) + 1).\nAnswer: -20*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 29 and 2.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17.8555 centimeters?\nAnswer: 178555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14.8 times 0.4\nAnswer: -5.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 161?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/3 (c) 8 (d) 2\/9 (e) 4 (f) 41.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15008230 and 5.\nAnswer: 15008230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 612*w**2 - 5*w + 4*w + 269*w**2 + 6.\nAnswer: 881*w**2 + 2*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378068.\nAnswer: 2, 47, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1340, -6, 4 in descending order.\nAnswer: 1340, 6, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 46 = -0*y - y, -2*m = -y + 26. Let v be (m\/7)\/(4\/(-10)). Let g = 515\/112 - v. Calculate the common denominator of g and 83\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m = 54*m + 36. Let q be (m*6\/45)\/(420\/(-175)). Find d such that 1\/3*d**4 - 1\/3*d**2 + 0*d + 0 - q*d**3 + 1\/6*d**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 46 = n, 0 = -2*n + 81*c - 80*c + 56. Calculate the remainder when n is divided by 28\/2 - 1\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5 = -2*z, 2*z + 2*z + 4*h = -12. Let g(f) = -2*f - 3. Let w be g(z). Suppose w*n = -n - 24. Sort n, 3, 1 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 128 = -5*s - 87, 93 = 2*c + 5*s. Suppose 51*t - 602 - 1234 = 0. What is the least common multiple of c and t?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4\/3)*a**(-22)\/a)\/((a\/(a*a\/(a\/(a**14\/a))))\/a**11))**1 assuming a is positive.\nAnswer: a**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 23*q + 2. Let z(y) = -1538*y. What is z(l(p))?\nAnswer: -35374*p - 3076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 10391.7.\nAnswer: -10391.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -23*t + 3. Is v(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -14504513?\nAnswer: -14504511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 452, 454, 458, 464, 472, 482, 494?\n\"Answer: v**2 - v + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -35*o + 7*o + 5*o + 6*o + 21*o. Let h(y) = -517*y. Calculate i(h(x)).\nAnswer: -2068*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 2062. Let o(b) = 29*b - 20*b - 23*b + 11*b. Determine o(a(j)).\nAnswer: -3*j + 6186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 21*r**2 + 34*r + 193. Calculate v(-22).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:52 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/6 + 7*b**3\/2 + 19*b**2\/6 - 7*b\/2 - 10\/3 = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 94531107 less than -0.0941?\nAnswer: -94531107.0941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 6*q + 2495. Let d be n(-47). Solve 8 = d*r - 4*v, -2*v - 14 = 3*r - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 28*u = 24*u - 18, 3*u + 9 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*t + 60, 4*t + 34 = -0*f - 2*f. Let x = 38 - f. Calculate the remainder when x is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2703, 2704, 2705, 2706?\n\"Answer: i + 2702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -23. Solve s = u + u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*t + 335*t + 70665 = 792*t for t.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.11 - 2.78. Let p = g + 0.17. Let n = p + 1.478. Round n to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*v - w - 471, 2*v + 5*w = 253. Solve 23 = 119*m - v*m - 3*x, -4 = -2*m - 4*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {k: 4, z: 9, g: 3, f: 1, c: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-140)*(-75)\/140)\/(1\/(30\/5))?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1342*v + 5600. Let f be q(4). Solve 16 + f = 62*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -67. Let n be ((3 - -7)\/(-2))\/b. Suppose 871 = n*m + 2*u, 161 = 2*m - 5*u - 199. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Suppose 2*z - r*k + 2 = 0, 5*z - 3*k - 9 - 5 = 0. Solve -u = z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 8. Let a be v(-7). Let y = 4.2 + 0.8. Sort -0.1, y, a in descending order.\nAnswer: y, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713428 rounded to the nearest 1000?\nAnswer: 1713000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402 by 21.\nAnswer: 134\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 2*c**3 + 2*c**3)*(0 - 1 + 2) + 3*c**3 - c**3 - 3*c**3 + (0*c**2 - 2*c**2 + 4*c**2)*(2*c + 3*c - 7*c) - 2*c**3 + 12*c**3 - 4*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 11134348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 7 - (-2 + 0) - (16 + -15 + 51)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-1 - 11)*-3. Let m be (1 + 51599\/a)\/((-6)\/500). What is m rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 + s + 2. What is the remainder when 48 is divided by n(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61236340 divided by -220.\nAnswer: 278347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*m - 115*m**3 - 20*m - 2*m**4 - 570*m**2 - 10*m + 47*m**3.\nAnswer: -2*m**2*(m + 15)*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 43*h**2 + h - 4221. Let g(q) = 3*q. Calculate l(g(v)).\nAnswer: 387*v**2 + 3*v - 4221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 1573 - 1576 + 3149.\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 3*h**3 + 162*h**2 + 1404*h + 3240.\nAnswer: -(h - 15)*(h + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 284330390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26172\/1021 less than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0100242 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-12)*c*c*c**5 assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -462, -1922, -4344, -7728, -12074, -17382, -23652?\nAnswer: -30884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1289 - -1342 - (-7 + -2).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.81 + 1.51. What is the third biggest value in -6, g, 0.4, -0.03?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:12 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7021994, 14043995, 21065998, 28088003, 35110010?\nAnswer: 42132019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.5. Let j = 3 + -46. Let k = j - -128\/3. Which is the closest to k? (a) -4 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2*x**3 - 3*x**3 + (3*x**2 + 0*x**2 - 4*x**2)*(-x + 2*x + x))*(-5137*x**2 + 7203*x**2 - 6850*x**2).\nAnswer: 4784*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -656 + 1244. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02885176 and 0.4.\nAnswer: 0.011540704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 10018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120020 - 2011?\nAnswer: 10111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1132345 (base 7) to base 14\nAnswer: 39d25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n**2 + 401*n + 1634. Calculate f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = n + 5*d - 23, -3*d - 92 = -4*n. Let m = n + -13. Let q = 4 + m. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 16. What is the remainder when 20 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 757212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 148 - 139. Let i(v) = v**2 - 6*v + 7. Suppose -14 = -3*n + 1. Let q be i(n). Solve 3*f + 4*o - h*o = -11, -2*f + q*o = 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 4*k**2 + 1. Calculate the remainder when r(-5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -298, -2, 4\/3, -830, -0.5, 3\/2?\nAnswer: -830","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*g = -n - 5, 4*n - 10 = 2*g. Suppose -13*t + 15*t - n = 0. What is the least common multiple of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-906 + 899)\/(2\/(-10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176519792.5 rounded to the nearest ten thousand?\nAnswer: -176520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 33 = -l. Let b(o) = 5*o + 2*o - 4*o. Let p(w) = 16*w - 1. Determine l*b(m) - 2*p(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 1228*y + 1228*y - y**2 - 81.\nAnswer: -y**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:32 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-50)\/(-4)*(3\/(-45) + 1614646\/330)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14345291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 - 327*v - 590. Give y(52).\nAnswer: -1370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (-174)\/(-1740) + (-135627)\/(-30) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/11069 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9174*a + 27. Let v(y) = -8*y. Give u(v(q)).\nAnswer: -73392*q + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 83*t**2 + 94*t - 231. Is c(83) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 3*g - 168 = 0, 316 = 187879*b - 187881*b + 5*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1801*k**4 - 1819*k**4 + 9*k**2 + 3392*k**4)*(2 - 4 + 6) in the form q + o*k**2 + b*k**3 + l*k**4 + g*k and give l.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 41*o + 37. Let u(f) = -14*f - 19. What is -5*u(y) - 2*z(y)?\nAnswer: -12*y + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 415, 692, 863, 874, 671, 200?\n\"Answer: -9*w**3 + w**2 + 337*w + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 + -37. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2095 + -25169\/12. What is the common denominator of v and 43\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 84*x**3 + 9050*x**2 + 10*x + 2. Let k(h) = -171*h**3 - 18103*h**2 - 25*h - 5. Let d(z) = 5*g(z) + 2*k(z). Find the third derivative of d(u) wrt u.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*g - 1524*g**4 - 26*g + 265 + 440 wrt g.\nAnswer: -18288*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k**2 - 23. Let f(d) = d + 429. Give u(f(s)).\nAnswer: -10*s**2 - 8580*s - 1840433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/420 + b**5\/35 - 3*b**4\/28 + 4*b**3\/21 - b**2. Factor i(z).\nAnswer: -2*(z - 4)*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44632, -89414, -134196?\n\"Answer: -44782*k + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -536 divided by 1.\nAnswer: -536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.36 + 2.36. Let f be 24\/(-96) + (-2)\/(-2 + -2). Which is the closest to 0.2? (a) -0.2 (b) f (c) -1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5 - 215*v**4 - 441*v**3 + 1499*v**2 + 4328*v + 2604 = 0. What is v?\nAnswer: -2, -1, 3, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 5:24 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18915 divided by 1261?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/3)\/(1\/(-123)). Let o(c) = 165*c - 1850. Let n be o(13). Let z = h + n. What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341642 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6304245183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 163341439 divided by -5?\nAnswer: -163341439\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z**4 - 1 + 37*z**4 - 202*z**4)*(z - 1 + 1) + 27*z**4 - 27*z**4 - z**5.\nAnswer: -152*z**5 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.89 times 682\nAnswer: 606.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eez. What is prob of sequence zee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (50 + -4)) + (-2 - -3) + -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 260991, 521930, 782833, 1043700, 1304531, 1565326?\n\"Answer: -18*l**2 + 260993*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39951*z**3 + 19 - 10 + 39992*z**3 - 9.\nAnswer: 41*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1484 + -1882. Which is greater: g or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 - j**3 - 189882372*j**2 + 307140258*j wrt j?\nAnswer: -24*j**2 - 6*j - 379764744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 63. Let b(c) = 4*c**2 + 9*c + 14. What is the hundreds digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - -3) + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 20503.\nAnswer: -10251.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 33*v**2 - 30*v + 3434. Let m(z) = -17*z**2 + 15*z - 1720. Let j(x) = 3*l(x) + 5*m(x). Differentiate j(h) with respect to h.\nAnswer: 28*h - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88666.74 millennia?\nAnswer: 1064000880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*r + 339 + 34, 78 = g - 3*r. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + (sqrt(76) - (sqrt(76) - sqrt(76)*-2)) + sqrt(76) - sqrt(76) - sqrt(76))*2)\/sqrt(4) + 0 - ((sqrt(1539) + (sqrt(1539) + -2)*1)*3)**2)*-5.\nAnswer: -3220*sqrt(19) + 277200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 5. Let x be b(-6). Let a(w) = w**2. Let c(q) = 6*q**2 - 3*q - 3. Let v(n) = -n**2 + n + 1. Let j(p) = c(p) + 3*v(p). What is x*a(o) - 3*j(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 + k - 1. Let w be t(0). Let b(g) = 25848*g**2 - 6*g - 7. Is b(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 100*x + 401. Give w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/(sqrt(12)\/sqrt(3)) - ((sqrt(2) + -1)*-4 + sqrt(2)))**2 + 4 - ((sqrt(32) + sqrt(2))*-2 - (1 + sqrt(72)))) + 1.\nAnswer: -16*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5015 and 27?\nAnswer: -135405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5524145613?\nAnswer: 3, 7, 87684851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 2619768.\nAnswer: 23577912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, i: 1, h: 4, a: 1, n: 1, l: 2}. What is prob of sequence ah?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123744913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 41 = s + s - 37, -4*c + 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + u = -405, 3*j + u - 397 = 208. Let o = -114 + j. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 3:55 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/10*-12)\/((-396)\/(-660)). Let d(o) = o**2 - 7*o + 5. Let b be d(6). Let n = 1 - b. Put -3, n, t in decreasing order.\nAnswer: t, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-2))\/(3\/(-1)). Let p be (20\/48)\/((-3)\/24) - -4. Find h, given that -p + k*h**2 + 0*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/105*5\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50383694 to the nearest integer?\nAnswer: 7098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*r*u**4 + 2*r*u**2 - 88*r*u + 440*u**4 - u - 246 wrt u?\nAnswer: 96*r*u**2 + 4*r + 5280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-3))\/(5\/(-15)). What is the units digit of -4 + c - (4 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60043 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.1, -2\/9, -0.2 in descending order.\nAnswer: -0.1, -0.2, -2\/9, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**1*x)\/x))**8*(x**(-2\/11))**(-34))**(2\/81) assuming x is positive.\nAnswer: x**(136\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 2*x. Let h be p(2). Let y = h + 15. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, 1\/5, -3, -15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 + -178. Put t, -2, -32 in increasing order.\nAnswer: -32, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746124.\nAnswer: 2, 436531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -w - 2*w - 5, -4*c = 3*w + 7. Let r be ((-6)\/(-4))\/(w\/(-2)). Solve 9 = -r*k - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 381 and 304927.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 132024 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3632*n**5 - n + 3692.\nAnswer: 72640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z - 3. Let w be t(-9). Suppose -n = -4, -v = -n + 2*n - w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 793 divided by -13.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54923 - 4*k**3 - 54924 + k**3 + 109847.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20829147 is divided by 10414565?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 461212 times 0.05\nAnswer: 23060.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 583 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 276*m**3*y**2 + 2*m**3*y - 16*m**2*y**2 - 5*m**2 + 2*y**2 wrt m.\nAnswer: 1656*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 0.4. Which is the second smallest value? (a) 2\/9 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j + 6 = 0. What is the third derivative of 4*a**5 - 4*a**5 - 9*a**2 - 3*a**2 - 5*a**j wrt a?\nAnswer: -600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34118866?\nAnswer: 2, 43, 617, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 10*u + 5. Let o be d(10). Suppose o*n - 148 - 46 = 2*j, 0 = -n + 3*j + 31. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**32*v)*v\/(v**31*v))**(17\/5) assuming v is positive.\nAnswer: v**(-1071\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28146860*k**2 - 7893205 wrt k.\nAnswer: 56293720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -42*l**2 + 8*l - 4. Let d(k) = -43*k**2 + 7*k - 3. Calculate 4*d(n) - 3*z(n).\nAnswer: -46*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 1)*60\/(-18). Let y = -3 - q. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2319*u**3 - 419*u**3 + 248*u**3 - 5311*u + 2 - 1785*u**3 wrt u.\nAnswer: -25650*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 1\/24*l**4 - 4\/3*l**3 + 0 + 0*l + 9*l**2. What is k(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**4\/4 + 2*b**3 - b**2\/2 + b + 46. Give p(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 + n**4\/12 - 15944*n**2 + 2*n. Let m = 11 + -7. Let v = 0 - m. Determine d(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/2 - 5*u**3 + 29*u**2\/2 - 16*u + 6.\nAnswer: (u - 6)*(u - 2)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7763.3 and 1904?\nAnswer: 14781323.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*k = -5*k - 36, -4*n + k - 28 = 0. Let x be (-12)\/33 - n\/44. What is the third biggest value in x, -4\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + i - 44 + (-5*i - 2*i + 3 + 5*i)*(2 + 2 - 5) in the form q*i + b and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, 2\/7, -163\/3, -16, 0.041?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/16*20\/(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.3 - -10.986.\nAnswer: -20.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-25))\/((-13)\/(-68201250)). Round s to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1472082 and 2394?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446 divided by -723?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513313974.\nAnswer: 2, 3, 28517443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l - 63 + 63)*(-5*l**4 - l**4 + 4*l**4) - 2*l**5 - 2 + 2 + (-1 + 2 + 1)*(-l**5 + 6*l**5 - 3*l**5).\nAnswer: -20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2200, 2199, 2198, 2197?\nAnswer: 2196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u + 9 - 27 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 29ed?\nAnswer: -29eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 616 or 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 1:48 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239645.\nAnswer: 5, 7, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 7*m + 81 = 0. Let a be (-4)\/6*m\/(-72). Let j be (-2)\/3 - 1\/3. Is a less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*x - 9*x - p, -5*p = -2*x + 29. Factor -4*z + z**2 + z**x - 2*z - 5*z**2.\nAnswer: -3*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*d**2 + (24*d - 3*d - 40*d)*(-2*d + 3 + 2 - 6 - 2*d + d - d - 2*d - 2*d + 0*d + (-d - 2*d + 2*d)*(3 + 0 - 1)).\nAnswer: 192*d**2 + 19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1558)\/(-42) - (123 + -86)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226842.\nAnswer: 2, 3, 7, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**5 - 7*z**2 + 18. What is the second derivative of r(n) wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -964050.1397 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1147, 692, -551, -2978, -6985?\n\"Answer: -66*z**3 + 2*z**2 + z + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(6)\/(sqrt(147)*-2)*-3)*3.\nAnswer: 9*sqrt(2)\/14 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v - v - 23*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1828, -3691, -5580, -7489, -9412?\n\"Answer: u**3 - 19*u**2 - 1813*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*sqrt(66) + sqrt(66) + sqrt(66)))\/(sqrt(54)*1 + sqrt(6)) + 3.\nAnswer: 3 + 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 4*p + 2. Let x be d(4). Let o be 2\/(-5)*3\/x. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2561 - -2571. Solve v - 14 = i + 6*v, 0 = i - 3*v - d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, 7, 0, -75, -5, -1 in descending order.\nAnswer: 7, 6, 0, -1, -4, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 2230044?\nAnswer: -2230040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 34 = -4*x + 8 - 7, -30 = 36*p - 2*x + 60 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5969 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(30\/55 + 9160564\/(-132) + -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6328018 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*4\/((-8)\/5). Suppose -x = 4*o + o - 1, 0 = -p*x + 3*o + 5. Let b be -44*((-75)\/12)\/25. Solve -x + b = -5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 6*v - 3. Let l be r(-5). Suppose 2*c = -l*c + 76. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 3*b**3 - 549955*b**2 + 549964*b**2.\nAnswer: -b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -4\/7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 349.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 1 (c) 34936 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -10, 3*z = 2*z + 5*j - 11. Suppose -4*i - 2*k = 0, 4*k + 38 = 4*i + 14. Let w = i + z. Sort -2, w, -4 in ascending order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 20 = 2*g + 7*y, 5*g - 116 = 4*y. Suppose 4*z - g = -0*z. Solve -z - 7 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 + 5*s**2 - s**2 + 2*s + 50*s**4 - 14*s**4 + 1 - 4*s**2 - 2*s**3 in the form u*s**3 + c + x*s**4 + z*s**2 + b*s and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-30) + (-69)\/90?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/30 + 68*n**2. Let m be 0*(2*-2)\/4. Let z(s) = -6*s + m*s - s + 0*s. Determine z(u(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4913.5 in -4\/3, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.07148 - -163.268\nAnswer: 159.19652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d1c - 130c0?\nAnswer: -13ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3054443 plus -31226?\nAnswer: 3023217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1117*q**2 - 272548*q - 31. Calculate j(-244).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6158 and 566536?\nAnswer: 566536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 + 24 + 201)*(3*u**4 - 5*u**4 + 5*u**4) as f*u**2 + r*u**4 + y*u + o + c*u**3 and give r.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -2\/5, -0.2, -1\/10, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 60 - 79*i + 117 - i.\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 346, 799, 1434, 2251?\nAnswer: 3250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 2\/7, -3\/4, -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6433 (base 14) to base 8\nAnswer: -41615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 (base 8) in base 7?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3769682 - 2529682. What is s rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*h - 42 = 0, 0 = 3*y + 3*h - 71 - 61. Let o be (y\/69)\/((-33)\/9). Which is the nearest to 2? (a) o (b) -2 (c) -2\/3 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2164*i**3*x**3 + 263*i**3*x**2 - i**2*x + i*x**3 + i*x**2 - 557*x**3 - 2 wrt x?\nAnswer: -12984*i**3 + 6*i - 3342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (3 + -8 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 - -21)*1*(-3 + 2). Let v(t) = 19*t**2 - t - 3. Let m(q) = q**2 - 1. Determine u*m(y) + v(y).\nAnswer: 15*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.92 (c) -3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 264*a. Let c(o) = -65*o - 4. Let y(z) = -z - 2. Let v(m) = c(m) - 2*y(m). Let q(g) = 5*l(g) + 21*v(g). Let j(p) = 0 + 0 - 11*p**2. Determine j(q(n)).\nAnswer: -99*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 14*l + 0*l**2 + 13 + 0*l**2 + 10. Is p(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522560164 to the power of 1\/2, to the nearest integer?\nAnswer: 22860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 + -1.43. Let f = o + 1.4. What is the biggest value in f, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 357 = -k, -k + 282 = 4*q + k. Calculate the remainder when q is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -5678213\nAnswer: -4\/5678213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-108)\/135 + (-56)\/55. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13927 - -13932. Solve k*f - 47 = -37 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50137*a**3*d - 2*a**3 - 87*a*d**4 - 49*a - 6355 wrt d?\nAnswer: -50137*a**3 - 348*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -5, 5, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2426130, 4852257, 7278384?\nAnswer: 9704511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m - 1. Let k be q(1). Suppose -3*x + k = 2*n - x, 0 = -n + 2*x + 2. Let i be 14\/4 - (-1)\/2. Solve -n*b = i + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203988934 is divided by 68.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -568, -485, -416, -361, -320, -293, -280?\n\"Answer: -7*s**2 + 104*s - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74846 + 105733. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222.8 - 238. Round o to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7161559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 5 + (3 + 1 - 5)*(-9 + 15 - 1))*(-2*s + 3*s + s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**3 - 2*z**3 + 3*z**3)*(-57 + 14*z + 3*z - 14*z)*(1 - 3 + 3) in the form b*z + f + m*z**3 + j*z**4 + a*z**2 and give m.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 0 + 10 + -7 + -2 + 12 + -8\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 2*s + 5*s)*(2 - 1 + 1) + 6*s + 6*s - 4*s to p*s + k and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {k: 3, z: 1, n: 1, y: 1, i: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (-2 + sqrt(117) + 0 - sqrt(117)))*3 + 1*sqrt(117)*-6*-1 + -2)*-4*6)**2.\nAnswer: 124416*sqrt(13) + 5467968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 287)\/(-2) - 0. Let b = a - -138. Put 4, b, 3, 5 in descending order.\nAnswer: 5, 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2577 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -160661 and 0.8.\nAnswer: -128528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 1085 = -6*k. Suppose 0 = -2*w - 43 + 97. What is the highest common factor of k and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-220)\/264)\/((-2)\/(-3)))\/(1\/(-8)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5*i = 40, 4*i - 14 = -4*v + 2*i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w - 111 = 0. Let b be w\/(-13) - 14\/(-91). Suppose -5*t - 975 = -5*u, -3*u + u = b*t - 390. What are the prime factors of u?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2028, 2288, 2548, 2808, 3068?\n\"Answer: 260*t + 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w = -27*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -495 times 10.58?\nAnswer: -5237.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 211 + -105. Suppose 11189 + 2485 = -48*j + 177*j. Is g <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2457.5 - -2459. Which is the nearest to -0.2? (a) f (b) 1\/4 (c) -2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22971 and 899403.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 496539 a multiple of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-74)\/(-14) + 18\/(-63). Let j(v) be the first derivative of 2*v**3\/3 - v**2\/2 - 11*v + 24. List the prime factors of j(t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12953 = -4107*u - 192397 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*u + 128*u + 45 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b9894 (base 12) to base 13.\nAnswer: 891796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46288200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*u**4 - 8*g**2*u + g**2 + 2*g*u**2 - 67*u**5 wrt u?\nAnswer: 24*g**2*u**2 + 4*g - 1340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3765 - 3763. Put r, 45, 3 in descending order.\nAnswer: 45, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101100 (base 2) in base 9?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 2*l + 691. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -247\/5. Sort 0.5, r, 3.\nAnswer: 0.5, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66122.35 and -0.4?\nAnswer: -26448.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*b - 87224 = -87044 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220367?\nAnswer: 7, 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/40 and -133\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -20. Suppose -k*d + 77 - 7 = 0. Let t(v) = -38*v**3 - 5*v**2 + 19*v - 14. Let m be t(d). Round m to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:10 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4 + 6 = 0. Let m(f) = f**3 + 14*f**2 - 15*f + 9. Calculate the remainder when m(-15) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57845 + -57844.9999915294. What is l rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-30))**(14\/3)*g\/(g\/g**(-34))*g\/((g\/g**(2\/39))\/g*g*g) assuming g is positive.\nAnswer: g**(-6823\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 1. Let z be a(-4). Let g(f) = -8*f**2 + z*f - f**2 + f**3 + 5 - 4*f. Let s be g(11). Round s to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 143*o**2 + 218*o - 61. Let p be t(-73). Solve 24*a + p + 12 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30145, 60297, 90451, 120607, 150765, 180925, 211087?\nAnswer: 241251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*i - b, 3*i - 13 = -4*b + 31. Find the common denominator of 25\/18 and (16\/24)\/(i\/426).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*o**3 + 9*o**3 + 4 + 12*o + 8*o**2 - 10*o**5 - 12*o**4 + 6*o**5.\nAnswer: -4*(o - 1)*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 513*w - 512. Give p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**3 + 27725665*f**2 = 0?\nAnswer: -5545133, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -8\/9*i**2 + 20 + 2\/9*i**3 - 10*i - 1\/54*i**4. Let w(k) be the first derivative of d(k). Factor w(z).\nAnswer: -2*(z - 4)*(z - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100111000111110010100 (base 2) to base 14\nAnswer: -255272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/(35\/((-1295)\/(-37)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 6. Let y(t) = -t - 5. Let g(u) = -6*h(u) - 7*y(u). Differentiate g(p) with respect to p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2 (c) 225\/1987 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129 - -181. Let w = 152\/3 - t. Let s = -5 + 5.5. Sort -4, w, s.\nAnswer: -4, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-11)\/((-374)\/(-51)))\/35.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**4 - m**3 + m**2 + m - 1. Let l = 148 + -147. Let c(u) = u**4 - 4*u**3 + 2*u**2 + 4*u - 27. Let a(o) = l*c(o) - 4*x(o). Differentiate a(j) wrt j.\nAnswer: -12*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -38\/5 (b) -8 (c) -1 (d) -0.5 (e) 253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 3529. Suppose -5*n - 13869 + s = 0. Let q = 8219\/4 + n. Find the common denominator of q and -131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 - 100806*a**2 + 403236*a - 403240 = 0.\nAnswer: -100810, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 11*i**6\/40 + 13*i**3\/2 - 30*i**2. What is the first derivative of z(m) wrt m?\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaraaxaxaar. Give prob of picking 2 r.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9995842 micrograms in tonnes?\nAnswer: 0.0000000000009995842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 1. Let j be d(-1). Let y = j + 2. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a (base 12) to base 15\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -7 - 3. Suppose j + 4*j = 2*a - 52, 2*j = g*a - 40. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5 + 591*b**3 - b**2 + 2760 wrt b?\nAnswer: 60*b**2 + 3546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-1)\/(-2)) + -36. Let w = 62 + h. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 30. Let g(l) = 20*l**2 + 11*l - 5. Let m be g(p). Suppose 5*d = -206 + 1246. Calculate the highest common divisor of d and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13003*-0.1.\nAnswer: 1300.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**3\/3 - m**2\/2 - 35*m + 12. Let f be y(-6). Let u(x) = -5 + 2*x + f - 3. Let v(n) = n**2 - n - 1. Determine u(l) + v(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*z - 6 - 16, -2*j + 3*z + 17 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:04 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110683250?\nAnswer: 2, 5, 442733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -617 and -110137 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 14594.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m - 9*m - 4*m + 24*m. Let h(a) = 2*a. What is h(z(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 16. What is d(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, d: 1, e: 4}. Give prob of sequence dx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 961258595 to the nearest integer?\nAnswer: 31004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a. Let q(s) be the first derivative of -7*s**3\/3 - s**2 - 2*s - 4. Let r(z) = 69*z**2 + 21*z + 21. Let l(j) = -21*q(j) - 2*r(j). What is l(k(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1179.1 + -1179. What is the nearest to o in -1, -0.1, 1\/8, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08103 + 4.08103. What is the closest to 1 in -3\/2, r, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -107*q**3 - 6*q**4 + 56*q**3 + 55*q**3 + (2 - q - 2)*(2 + q**3 - 2).\nAnswer: -7*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 9:15 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418967 is divided by 789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6*r**2 - 7197*r - 28808. Give b(-4).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49980 is divided by 24538.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15386 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n + 0*n)*(n - n + 2*n**3) + (21*n**2 - 21*n**2 - 244*n**3)*(0*n + 2*n + 1 - 4*n).\nAnswer: 486*n**4 - 244*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 9:13 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {p: 5, c: 7, m: 8}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5036 + 4996. Does z = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2316 + -2318. Which is the nearest to n? (a) 0.3 (b) 99 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = -15*z - 96 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1054*r. Let g(h) = -9*h. What is g(z(q))?\nAnswer: 9486*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 36106?\nAnswer: 36072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 7*m = 3371. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 315*m**2 + 54*m - 4. Let i(b) = -79*b**2 - 12*b + 1. Calculate -9*i(u) - 2*q(u).\nAnswer: 81*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4)*((5 - 518665\/(-21)) + -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 9:22 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -522 + 524. Solve g*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 6*n. Let r = -5 + 9. Suppose o - a = r*a - 10, a - 21 = 4*o. Put n, 5, o in descending order.\nAnswer: 5, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/3)\/(4\/(-48)). Suppose 2*y - 2*g = -48, g - 28 = 2*y + 4*g. Is y >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41647.\nAnswer: 41647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80522342 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(7\/4)*h)**(3\/2))**49 assuming h is positive.\nAnswer: h**(1617\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -15*u**3 - 881*u**2 + 233*u - 406. Calculate r(-59).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 238, 243, 260, 295, 354?\n\"Answer: o**3 - 2*o + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/17 + (-624)\/102. Let b(d) = -d + 12. Let c be b(f). Let n be ((-5)\/(-2))\/(3\/6). Solve n*w = 2 + c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, -4, 5, -0.4, 18, 4 in decreasing order.\nAnswer: 18, 5, 4, 1\/15, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 9. Let f = s + -27. Which is the closest to -0.2? (a) f (b) -0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = 14. Suppose -3*q + r = -2*w, 12 = -4*q - 3*w - w. Suppose f = -b, -7*b = 2*f - 3*b + 6. Solve -s = -a - 3, q*a + 2*s = a + f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-239825)\/(-8145) - -1*12\/(-27).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1571, 2759, 3689, 4361, 4775?\nAnswer: 4931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 335 + -288.9. Let o = c - 46. Put o, -3, 0 in increasing order.\nAnswer: -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2\/2 - 14883*b + 73834563\/2 = 0. What is b?\nAnswer: 4961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(7\/6)*v*(v*v**(-1\/22)*v*v)\/v assuming v is positive.\nAnswer: v**(136\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 4627 + 829 = 0. What are the prime factors of o?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 - v + 1. Let j = 24 - 29. Let k be u(j). Let d(t) = 7*t - 6. Is 12 a factor of d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-72.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibo when three letters picked without replacement from bsisbuo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729713291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*o + 46*o + 17*o + 21*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - q = 656, -v - 2*v - 2*q + 984 = 0. Suppose 7*w - 178 = -2*o + 9*w, -4*o + v = 3*w. Calculate the highest common factor of o and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5122514*l**2 - 5122518*l**2 + 15367671*l**2 - 5122579*l**2.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/78 - (-265)\/(-210). Which is the smallest value? (a) d (b) 2\/25 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -3 - 0 - 2. Let l be (-3)\/3 + s\/(-4). What is the closest to -0.1 in 2\/5, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8618424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121.501445 rounded to 1 dp?\nAnswer: 1121.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g. Let k(v) = -26*v**2 - 17403. What is r(k(x))?\nAnswer: 78*x**2 + 52209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*i = 3*i + 6, -18 = 5*z + 4*i. Let k be ((-1)\/z)\/(2\/6352). Suppose k = 7*y - 3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28532273537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 48, 31, -14, -99?\n\"Answer: -2*h**3 + 4*h**2 + h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/19)*y**9)\/(y*y\/(y*y\/(y\/y**4)))**(-31))**(-1\/22) assuming y is positive.\nAnswer: y**(797\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 - 0.21. Suppose -3*r = -0 - 12. Which is the smallest value? (a) r (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 4*m - 52, 4*m = -16. Let s = -48 - -33. What is the smallest common multiple of z\/s*75\/10 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 150. Let j be g\/(-2)*(-4)\/3. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 17*h - 5*v = -11353585, -3*v = 2*h - 11353591. What is h rounded to the nearest one hundred thousand?\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216194552?\nAnswer: 2, 7, 37, 151, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98548415 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 68*j**4\/3 - 318643*j**3\/3 + 204554*j**2 - 271667*j\/3 - 23420\/3 = 0.\nAnswer: -5\/68, 1, 4684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 4*h**2 - 4*h - 6. Let n be l(-4). Suppose 5*r - 7*r + 10 = 0. Calculate the highest common factor of r and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -759224\/8001 + 854\/9. Let o = 23120\/2667 + x. What is the common denominator of o and 53\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 123707, 248428, 373149?\n\"Answer: 124721*q - 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 1388569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15151220 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**6 - 13*a**5 + 7*a**2 + 13*a**5 wrt a?\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -499.99999711 - -500. What is f rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 686654228*n**3 + 177*n - 675931 wrt n?\nAnswer: 4119925368*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615518.51 - 13.4.\nAnswer: -615531.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 436.\nAnswer: 9156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, k: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -e4f1?\nAnswer: -e4f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 46. Let a be s + 16 - (1 - 2). Let t = -7 - -10. Solve t*o = -9 - 3, -a*o - 14 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.2 + -7. Let z = u + 1.2. What is the biggest value in z, -2, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by 47\nAnswer: 226\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 3*h + 1. Let r be (2\/(-7))\/((-4)\/56). Suppose q - r*y = 22, -2*q + 2*y = -31 + 11. Is m(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q - 3. Let u be p(-2). Calculate the greatest common divisor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 26*s**2 - 3*s + 718. What is d(-27)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.7 - -702.3. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2944 or -2956?\nAnswer: -2944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*v + 20*v = -47*v + 6039 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 780 and 146796?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-2 - -2) + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/427088 and -27\/20.\nAnswer: 2135440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5 + 12*r + 11*r - 16*r + 2. Let x be (-12)\/(-9)*(-3)\/(-2). Is u(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 72. Which is the smallest value? (a) w (b) -1\/5 (c) 0.22 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 2*i + 5. Let q(b) = b + 24. Let r be q(-21). Let n be a(r). Suppose -d + 156 = n*d. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from titxslp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s + 369345 = -50067. Calculate the remainder when s is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -583\/1322?\nAnswer: -583\/1322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -0.4. Let s = -29 - -33. What is the biggest value in s, -5, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 3*h**4 - 50*h**2 + 15*h**2)*(h + 2 - 2).\nAnswer: -h**5 - 35*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*d**3\/13 - 146*d**2\/13 + 8\/13 = 0 for d.\nAnswer: -2\/9, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 248143 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 235, 1170, 2841, 5308, 8631?\n\"Answer: 10*v**3 + 308*v**2 - 59*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 351 = 5*d. Suppose -12*m - d = -15*m. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -2 - -6702 - (-1 + -3). Is g equal to 6702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -5, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3671.25 and -16.2?\nAnswer: -59474.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Let c = 43.7 + -43.2. What is the closest to h in 0.3, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1) + 21 + -15 + -13 + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -800377\nAnswer: 320150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + u - 3*u + (0 - 2 + 5)*(-2*u + 2 - 2).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b - 2*b - u + 5, 3*b + 4*u - 1 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2. Let a(m) = 7*m + 12. What is l(a(v))?\nAnswer: 147*v**2 + 504*v + 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19193 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkduukdxydq. Give prob of sequence yu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14778, 14586, 14394, 14202, 14010?\nAnswer: 13818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1827834 minus 0.04533?\nAnswer: -1827834.04533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 36 + 64 = 0. Let h(j) = -j**2 + 15*j - 5. Let n be h(m). Solve -4*g + 5 = -n*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95427?\nAnswer: 3, 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**10*c)**(-1\/14))**(-3\/26))**(-1\/15) assuming c is positive.\nAnswer: c**(2\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/798 and -79\/7410?\nAnswer: 51870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 13) in base 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 430687223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -27.5 * 149180\nAnswer: -4102450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.991812 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135) + sqrt(135) + sqrt(135) + sqrt(135) + 3*(sqrt(135)*2 - sqrt(135)) + sqrt(135))\/sqrt(5))\/(-3*sqrt(36)\/sqrt(4) - 4*sqrt(9)*1))**2.\nAnswer: 192\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5)\/(873\/(-194))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -111*n**2 - 3432*n + 278. Determine a(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9)\/6*((-80)\/(-3))\/(-2) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-40)*-12*(-180)\/(-1944).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*a = 0, -4*a + 4 + 0 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 13*d - 2. Let p(r) = 2*r**3 - 13*r + 3. What is -3*o(n) - 2*p(n)?\nAnswer: -n**3 - 13*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(3\/4). Suppose -w + 3 = 5*g - 0, -w = -t*g - 3. Solve g*d = 2*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-666)\/(-2109)*4\/(-6)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -838 - -863. Calculate the highest common factor of 1775 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823?\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 5. Let j = -613 - -618. Let q(v) = 4*v - 10. Give j*d(b) + 3*q(b).\nAnswer: 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -304, -462, -620, -778?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -23 (b) -28 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 76. Which is the third smallest value? (a) 0.5 (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11993 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*k - 242*k + 126*k - 44 - 29 to m + g*k and give m.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -99, -134, -167?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a*(a*(a*(a**3*a)\/a*a)\/a)\/a*a*a*a*a)\/a))\/a**(-6))**(1\/26)\/((a\/(a\/a**(-7)))\/a**(-1)*a**9\/(a\/(a\/(a**(2\/21)\/a*a))*a)) assuming a is positive.\nAnswer: a**(-1103\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -13. Let u = 12.9 + v. Is 3 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 96242.95 nanometers?\nAnswer: 0.009624295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5310*g - 238993. Give q(-45).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from dyqyvvvaqtvt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39961 is divided by 173.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*l**3 + 0 + 3\/4*l + 3\/2*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409362.5 millilitres to litres.\nAnswer: 409.3625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6252 divided by -6.\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-6)))\/(n\/(((n**1\/n)\/n*n)\/n)))**30*((n**0)**(-1\/33))**(-3\/19) assuming n is positive.\nAnswer: n**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2852*p**2 + 19 + 311*p**2 - 14 - 6 to f + m*p**2 + x*p and give m.\nAnswer: -2541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 198 = 3*c. Let m(t) = 49 + 50 - c - t. Let h(r) = -11*r - 3. Calculate h(m(f)).\nAnswer: 11*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -573 + 582. Let i be (-2)\/v - (-5944)\/72. Which is bigger: 82 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwlw when four letters picked without replacement from wwwllwwwyw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 < 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 950 = 6*w. Let x = w - 90. Suppose 5*l - x = -30. What is the lowest common multiple of 10 and l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 11. Let i be v(-8). Let x(h) be the second derivative of -h**5\/20 + h**4\/12 + h**3\/2 - h + 96. Determine x(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9981 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-22)*(-594)\/(-54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, h: 1, k: 3, n: 1, j: 2}. What is prob of picking 1 j, 2 o, and 1 n?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278 a factor of 2407645926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = -5*z, -2*z - 27 = -3*s - 15. Calculate the smallest common multiple of s and 2724.\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (53 + (2 - 2))*-1. Suppose 6*u - 48 - 378 = 0. Let a = v + u. Calculate the highest common factor of a and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-17) - (-326)\/20*169. Let h = 2748 - y. Let m = 7307\/4 + -80551\/44. Find the common denominator of h and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -29 + (-1 - 4 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.891916 millimeters to nanometers.\nAnswer: 2891916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 12210?\nAnswer: 12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5869000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (2 - -1317*9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*y**3 - 187*y**2 + 187*y**2)*(-1 - 10 - 2).\nAnswer: 286*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/7 + 16\/(-28). Let p be (u\/31*16\/32)\/3. Is 1 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 556*u**2 - 1768*u + 51278. Calculate s(559).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 14924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -1.053 (c) -3 (d) -2 (e) -0.4 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - m = -387, -3*m = -4*t + 727 + 849. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.76 - 0.26. Which is the closest to -1? (a) 8 (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2765 + -12?\nAnswer: 2753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -389, -1307, -3125, -6149, -10685, -17039, -25517?\n\"Answer: -51*u**3 + 9*u**2 + 6*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75\/50 + (-2)\/(-4). Let q be (-2)\/(g + (3 - 3)). Let m(j) = -7*j + 2. Let i(p) = -p + 1. Determine q*m(w) + 2*i(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Solve -3*k + j*k + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 19*k**2 + 15*k - 21. Calculate h(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -35*x - 8*x**2 + 21 + 35*x - 73*x**2. Let v(h) = 16*h**2 - 4. Calculate -2*o(n) - 11*v(n).\nAnswer: -14*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 98. Let f(u) = -11*u**2. What is k(f(r))?\nAnswer: 11*r**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**4\/2 - 8*a**3\/3 + 7*a**2\/2 + 20*a - 336. Find the second derivative of d(w) wrt w.\nAnswer: -12*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 478 + -247. Calculate the greatest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 17*k**3 + 2*k - 3. Suppose -7 = -l + 3*u + 7, 20 = 2*l - 4*u. Let s be f(l). Suppose -s*r = -142*r. Solve 0 = -r*g + g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -19*z + 87. Let p be l(6). Let v be (-9)\/p - (-2)\/12. What is the nearest to v in -4, -0.3, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 993820.\nAnswer: 3\/993820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 = 4*j + 11, -4*k + 2 = 5*j. Suppose 0 = 5*h - k + 78. Let s = -13 - h. What is the greatest common factor of s and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7*u - 40 = -11*u, 0 = 5*a + 4*u - 216. Suppose -49 + a = -y. Let q = 1 + -0.5. Sort q, -4, y.\nAnswer: -4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*f - 172*f = 25. What is the third derivative of 121*i**2 - 5 + f - 117*i**2 + 114*i**6 - 14*i wrt i?\nAnswer: 13680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 12 = -3*n, -n - 4*n = -5*w - 20. Suppose 0*t = -t + n. What is the units digit of (-1)\/2*(-13 - t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -2, -14, 4 in increasing order.\nAnswer: -14, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 87, 198?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/4)\/a)**(2\/21)*a**1\/(a\/a**(2\/5)))**(-42) assuming a is positive.\nAnswer: a**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 = 0, -2*t + 2*j + 27173 = -j. Let n = t + -2613. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g + 5. Let f = 0.35 - 0.05. Let q = f - 0.3. What is the nearest to 1 in q, g, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m**4 + 6*m**3 - 4*m. Let t(j) = 19*j**4 + 5*j**3 - 4*j. Let g(b) = 6*t(b) - 5*y(b). What is the second derivative of g(x) wrt x?\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72678 (base 12) to base 9.\nAnswer: 247142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*u - 2*u**3 + 1798 + 80*u + 682*u + 776 wrt u?\nAnswer: -6*u**2 + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 12:36 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2640)\/(-2475) - (4 + (-40)\/12). Put n, -17, -10, 2\/9, 4 in ascending order.\nAnswer: -17, -10, 2\/9, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3024 (base 9) to base 10.\nAnswer: -2209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 109*a**3 - 5*a**3 - 5*a**2.\nAnswer: -114*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 173*s**2 + 803*s + 444.\nAnswer: (s + 4)*(173*s + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62949 = 515*j + 491*j + 2441 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from aiuii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.965 and -0.15.\nAnswer: -2.09475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*q - 54 + 64 = 0, 0 = -4*f + 3*q - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/2 - 147*g\/2 + 74 = 0. What is g?\nAnswer: -148, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7 - 6*a**3 + 5*a**3 + 4*a**3 + 18*a - 12*a. Let i(o) = -136*o**3 + 283*o**3 - 15 - 4*o + 17*o - 141*o**3. Determine -6*i(g) + 13*p(g).\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 15*u + 34330 = -94694. Is 112 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6703 + 2328*h**2 - 6708 + 20119 + h**3 - 6708 + h.\nAnswer: h**3 + 2328*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-4))\/(6\/44). Is y\/((-2)\/(-141)*-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(162259582\/97355886 - 10\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -87.2 + 90.2. Which is the nearest to -1\/2? (a) 2\/13 (b) 0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1891058107?\nAnswer: 1891058107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:12 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0108 * 2.\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times 207082?\nAnswer: 9732854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - w - 45, -3*w + 21 = 10352*y - 10350*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (14 - (-2 + -5 - -8) - 9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(67\/(-134))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1489, -2\/7, -2, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34*(117\/120)\/13 and -3\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.63. Let h = -8811.63068 + 8812. Let m = x - h. What is m rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28*(-7)\/784)\/((-4)\/(-1040))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0756 times 1861.8\nAnswer: 140.75208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Let z be r(-3). Let k be z + -1 + 5 - -8. Let y(s) = -s**3 + 6*s**2 - 4*s - 2. Let n be y(5). Solve 0 = n*a + 15, 4*d + k = 4*a - 2*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16431 = -3*h - 4269. What are the prime factors of h?\nAnswer: 2, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90288431?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**5\/10 + j**4\/2 - 4*j**2 - 62*j. Factor o(t).\nAnswer: -2*(t - 2)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -50. Suppose -2*v + t = 488, i*v + 345 = -3*t - 641. Calculate the lowest common multiple of (-2)\/6 - (v\/15 - -2) and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvvkvvvvkkvk. Give prob of sequence kvk.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5*(-75)\/1750)\/(270\/(-7)). Which is the nearest to 3\/7? (a) -1 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1770 and 388810?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 474*c + 500*c + 6 - 316*c + 62*c in the form f + k*c and give k.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 (base 6) in base 15?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1325.5222 to zero decimal places.\nAnswer: -1326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6756 and 10.\nAnswer: 33780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62660, -62663, -62668, -62675?\n\"Answer: -m**2 - 62659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*a - 3 + 3 + (0 - 2*a + 0)*(-4 - 3 + 5) + 2*a - 5*a + 2*a)*(-954 + 251 - 100) in the form w + k*a and give k.\nAnswer: 4015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39675, -39947, -40219, -40491, -40763?\nAnswer: -41035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 29*d + 54 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2)\/t*t**3*t\/(t*t*(t\/((t\/(t\/(t**(3\/13)*t)))\/t))\/t*t*t)*t*t**4*t assuming t is positive.\nAnswer: t**(42\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24276328007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -10321?\nAnswer: -10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 944\/590*3*4\/6*-5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/3 + 664*f\/3.\nAnswer: -4*f*(f - 166)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 17*v + 164. Let n = 124\/3 + v. Put n, -4, -2\/17 in descending order.\nAnswer: n, -2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/4))\/b*b)**(-1\/20)*b*b**1\/b*b**3 assuming b is positive.\nAnswer: b**(317\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 585*d - 2920. Calculate q(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.026959 * 2\nAnswer: -0.053918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 3. Let r(d) = -51*d - 5. Let i(k) = -115*k - 10. Let n(f) = -4*i(f) + 9*r(f). Determine -4*n(y) - 7*s(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 2 - (-15 - -1). Suppose -4*n = 5*w - 7, 2*n = 4*w - y + 1. Is 5 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)*b*b**5)\/(b**(-2)*b*b)**(-3\/26) assuming b is positive.\nAnswer: b**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 155? (a) 5 (b) 10877 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -5)\/(35 + -3 + -2). Which is the second smallest value? (a) x (b) -3 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.408448 to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1371, 5495, 24071, 60213, 119777?\nAnswer: 208619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 28765?\nAnswer: 28763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*o - 21, q - 5*q = 3*o - 8. Let n be 1 + 0 - (q + 4). Let h = 2209\/615 + -1078\/205. What is the smallest value in -2\/5, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4977, 108, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -7, -16, -31, -52, -79?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-20)*1*4. Let h be g\/2*-2 - -5. Solve h*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9398.37 decades in millennia?\nAnswer: 93.9837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -t - 14, -3*w + 9 = 0. Let m(a) be the first derivative of -a**3\/3 - a**2 + 11. Let n(x) = -3*x**2 - x - x - 5*x. Calculate t*m(i) + 2*n(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9026.4 minus -116881?\nAnswer: 107854.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1071936 and 13\/133992.\nAnswer: 1071936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 4 + 2)*(-27*q**2 - 62 + 62) - 46*q**2 - 27*q**2 + 58*q**2)*(0*q + 2*q - 3*q) - 4 + q**3 - 2 + 3 as f*q**2 + l + o*q + p*q**3 and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -338 - -1305. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*z - 69737 = 48275 + 50702 for z.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624624 is divided by 812307.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1026764.8 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 4. Let j(l) = -9*l - 7 - 10*l + 21*l - 9*l. What is 6*j(y) + 10*z(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*u = 5*h + 48*u + 3834, 3*u = 2*h + 1542. What is the second smallest value in h, -1, 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 20.51?\nAnswer: -10.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*t + 5600, 0*a - 4*t = 5*a - 5636. Find the third derivative of 2*u - 2*u + 3*u**2 + 1133 - 42*u**3 - a wrt u.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5549579808 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2238 = 2*o. Suppose -v = -2*w - 139, 0*v - 5*w = 3*v - o. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - p - 2*p + (4 - 4 + 2*p)*(4 - 5 + 3) + (-2 - 4 + 4)*(p + 0 + 0) - p + 3*p - p - p - 3*p + 7*p - 16 + 3*p - p + 1.\nAnswer: 10*p - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-42))\/(((-4)\/54*3)\/(91\/13))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123 + -88. Suppose -3*s + h = 20. Solve q - 2*j + 5*j = -18, -5*q + s*j = -10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-140))\/(840\/225).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) 13\/154 (c) 1 (d) -0.026 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((133\/7)\/(-19))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -51, -75?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17*p**2 - p. Let o(q) = 84*q**2 + 5*q. Let g(n) = 5*m(n) + o(n). Let x(z) = 1269*z. What is g(x(b))?\nAnswer: -1610361*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*a - a, -a + 12 = -2*l. Solve -12 = -a*i + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.82578g?\nAnswer: 9825780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(720))\/(sqrt(180)\/sqrt(5)) - (0 + 3*sqrt(125)*-2).\nAnswer: 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/24*(-678)\/80. Let r = g + 21\/8. What is the second biggest value in r, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36574 - -36561. Suppose -3*y = -4*y + 3, 0 = 3*w - 3*y - 3. Suppose w = q - 1. Which is the closest to 1? (a) n (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1934133 divided by -3?\nAnswer: 644711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 + 11 - (2 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d - -1b55e?\nAnswer: 1b57c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18611478*j**2 + 9*j + 418994?\nAnswer: 37222956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 156 - 156.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 5838.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 28 = -2*n. Which is smaller: 42 or n?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 45. Let d be n(12). Let j be -1 + 1*7\/(d\/9). Solve -2*m + 13 = -j*l + 3, -l - 5 = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3 + (-76)\/(-12). Suppose -k = -2*f + 14, -4 = j*f - 3*f. What is the remainder when (-7 + 8)\/((-2)\/k) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.97117 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 17 - 24 + c**3 + 88.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x = -3*d - 9, -3*x = 5*d + 15. Suppose 0 = 3*t - 5 - 22. Solve x = 4*i - 11 - t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113244 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 + 32 = 4*p, -2*p - 5*c - 15 = 0. What is the lowest common multiple of p and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 q when three letters picked without replacement from ffegq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 6*v. Let k(r) = r**3 - r. Give -4*k(w) + n(w).\nAnswer: -2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (4 + -13 - -17) + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Suppose 4*w = -c*x - 45, -5 = 5*x - 3*w - w. Let g = 42 + -36. Put g, 4, x in increasing order.\nAnswer: x, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:35 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 142*-0.5\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 - k + 6. Let h(d) = 21*d - 4*d**2 + 5 - 6*d - 16*d. Suppose -i - 2 - 5 = 0. Determine i*h(j) + 6*r(j).\nAnswer: -2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20172 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(5) - ((-2 + sqrt(5) + sqrt(5))*5)**2 - sqrt(5)) + sqrt(5) - (sqrt(5) + -1 + -2 - sqrt(5)) - 5*(2*sqrt(5) + -4)*-4).\nAnswer: -1446*sqrt(5) + 4062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.05 minus -755148?\nAnswer: 755230.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-16)*k*k**(-1) assuming k is positive.\nAnswer: k**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21 + 2*q**2 + 2*q**2 - 24*q + 5 + 10.\nAnswer: 4*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 7497?\nAnswer: 8\/1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**2. Let o(z) = 29*z**2 - 3. Let y(c) be the first derivative of -88*c**3\/3 + 10*c + 1. Let r(i) = 10*o(i) + 3*y(i). What is r(l(k))?\nAnswer: 1664*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 10213?\nAnswer: 10203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t**3 - 218*t - 2364*t - 2056*t + 182*t + 423*t.\nAnswer: -61*t**3 - 4033*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 3*n + 2*n, 0 = 2*n - 0*n + 8. Solve -10*t + 15 = i*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-1015))\/((-588)\/(-6615))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 380*n - 57. Let v be (-16435)\/(-346)*((-12)\/15 - -2). Let f(x) = -33*x + 5. Give v*f(u) + 5*z(u).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4\/7, 9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444 and 3?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-15 - (-20 + -6) - 32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5643.07891 take away 1.195?\nAnswer: 5641.88391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 + 2*i**4 - 9*i**4 - 5*i**4 + 30*i**4 + (5*i - 3*i - i)*(-5*i**3 + i**3 + 2*i**3).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1663 + 2539. Suppose 4*a - 289 = y + 2*a, 0 = 3*y + 3*a + z. What is y rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 11. Let y be i(-4). Let z be 0 + (-233)\/2 + y\/(-10). Let x = z - -234. What are the prime factors of x?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -3*t + 49 - 86, t - 89 = -3*w for w.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3916211864 to the power of 1\/3, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.5 (c) -6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -3, 5, -1, 0, -4 in ascending order.\nAnswer: -231, -4, -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**21\/((y\/y**(9\/8))\/y*y))\/((y\/(y*y**(-2\/5)))\/(y\/(y**(-9)\/y))) assuming y is positive.\nAnswer: y**(1269\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*((-2)\/1)\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*g - 12 = -72, g = -3*f + 50. Suppose -28*v + 31*v - 138 = 0. What is the remainder when v is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) - (9 + -3). Let j(p) = -2*p - 7. Let x be j(t). Find the second derivative of x*i - 6*i + 5*i**4 - 3*i**4 wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23500 = -214*z + 224*z. List the prime factors of z.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1022, 2655, -4 in increasing order.\nAnswer: -1022, -4, 2655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -1\/6*j**3 + 0*j**2 - j + 0*j**4 + 0*j**5 + 0 - 1\/30*j**6. What is the second derivative of i(r) wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e233 (base 15) to base 9.\nAnswer: -158843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(20)*2 + sqrt(20))\/(sqrt(70)\/(sqrt(14)\/sqrt(2)) + sqrt(10)))**2.\nAnswer: 625\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 326 + -95. Let q = -228 + w. Solve o - 8 = 2*g, 4*g - 5 = q*g + 5*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 10:41 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2232 (base 6) to base 8\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2)\/(1*(-6 - -7)). Let t(l) be the second derivative of 29*l**4\/4 - l**2\/2 + 2*l. What is the tens digit of t(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*b - 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 36*d - 219. Let k be a(-8). Sort 6, k, 0, -1 in decreasing order.\nAnswer: 6, k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 3*v**2 + v - 1. Let r be b(2). Let p be (-1)\/r*(-2 - -8). Solve n + 0 = -p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12*8)\/((-282)\/4371).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 10:10 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -918 less than -171627249?\nAnswer: -171626331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*t = -0*f - 5, -3*f - 6 = -2*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*((n**(-1)*n)\/n)\/n))**(-22)\/((n*n*n**(-1\/14)*n)\/n*n*n**2*n*n) assuming n is positive.\nAnswer: n**(-713\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwpw when four letters picked without replacement from eewxxpexxeeeeew.\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((7 - 1) + 10008\/(-973))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170845291.\nAnswer: 17, 83, 121081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**5*t + 507*p**5 + 21*p - 479*t wrt p?\nAnswer: 120*p**3*t + 10140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 582*y**2 - 2*y - 1269. Let n(a) = 2911*a**2 - 11*a - 6344. Let v(r) = 11*d(r) - 2*n(r). What is the first derivative of v(c) wrt c?\nAnswer: 1160*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 46. Let g(r) = r**2 + 4*r - 7. What is the smallest common multiple of g(-7) and 434\/q + (-4)\/10?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.1*259782.4\nAnswer: -1065107.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**5\/120 + 25*a**4\/24 - 5*a**3\/3 + 15. Let x(d) be the third derivative of t(d). What is the units digit of x(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 2. Let s = 16.3 - 15. Let f = 0.3 - s. Sort f, o, 0 in decreasing order.\nAnswer: 0, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10762, -0.06, -0.04, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 451313033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-550)\/(-33)))\/((-128142)\/2712)?\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231205 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 13*o**2 + 13)*((-3 + 1 + 3)*(-2 + 1 + 3) - 1 - 1 + 4).\nAnswer: -52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*f + 8 = 0, t + 3*f + 0*f = -8. Calculate the remainder when 40\/25 - 4256\/(-140) is divided by 10\/1 + (t - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4986, 9970, 14954, 19938?\nAnswer: 24922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 187521, 0, -3\/4, -2, 2\/13 in descending order.\nAnswer: 187521, 2, 2\/13, 0, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (153\/85)\/((-2)\/(-430)). Is 387 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16508597.93418 - 2.2?\nAnswer: -16508600.13418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g**2 + 98*g - 305. Let z be d(3). What is the closest to -1\/3 in z, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 6*p + 4. Let o(d) = 13*d**2 + 23*d - 16. Let z(k) = -2*o(k) - 9*y(k). Let j be z(-9). Solve -2 - 3 = -j*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.7 - 15.66. Which is the second smallest value? (a) w (b) 0.03 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104484 and 1758814.\nAnswer: 10552884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 62. Which is the third biggest value? (a) -1 (b) -1\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3136 and 32777080?\nAnswer: 262216640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from kkmksskccs.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94352 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + z = 36, -3*v - 5*z - 39 = -3. Let n be (-2)\/v + (-98)\/12. Let u = n - -23. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96 or 777\/8?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 178*w - 1756. Determine i(66).\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0265 - 0.0412. Let q = -4.6623 + f. What is q rounded to one dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y, 11*g - 4*y - 384 = 9*g. Calculate the highest common factor of g and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnnn when four letters picked without replacement from {x: 1, n: 14}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**5\/20 - 5*g**4\/12 - 3*g**2\/2 - 4*g. Let a = 20 - 15. What is r(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 204, 1605, 5414, 12837, 25080, 43349, 68850?\n\"Answer: 201*i**3 - 2*i**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45370, -45394, -45456, -45574, -45766, -46050, -46444, -46966?\n\"Answer: -3*v**3 - v**2 - 45366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*t**2 + 18*t + 1886?\nAnswer: 122*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 11*z + 40. Let u(y) = -4*y**2 + 3*y. Let p(l) = -3*l**2 + 2*l. Let x(i) = z*u(i) - 6*p(i). Let d(b) = 5*b**2 - 3*b. What is x(d(k))?\nAnswer: 50*k**4 - 60*k**3 + 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -122*z - 154*z + 500*z + 3*z**2 - 161*z.\nAnswer: 3*z*(z + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 10, -22*j - 1257 = -23*j - 4*y. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 3*l = -31, -6*t + 4*l - 71 = 51 - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 3668645?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = -5682 + 5737. What is the second biggest value in 4, z, 15.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211012200 (base 4) in base 15?\nAnswer: -30063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00163282017 to 5 dps.\nAnswer: -0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(12 + -5)\/(-154). Let r = -2 - -1.8. Which is the closest to r? (a) t (b) -4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14289244?\nAnswer: 2, 43, 83077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - o + 19, -24 - 1 = 5*o. Let a = f - 29. Let y = a - -20. Solve 2*t - 5*c - 6 = -y*c, -4*t + 3*c = -8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/11 - 22*m**4 + 784*m**3\/11 + 959616*m**2\/11 + 28449792*m\/11 = 0. Calculate m.\nAnswer: -72, -56, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26172?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 5\/2 (b) 2 (c) -3\/29 (d) -0.06 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, -3.\nAnswer: -5, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110011111000010100100010?\nAnswer: -110011111000010100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 - 6*k + 10. Let o be i(-7). Let y be (-15)\/(-4) + o\/(-4). Find the first derivative of 0*u**3 - 2*u**3 + 1 + y*u**3 wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59511376 not equal to 59511375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 20*k**4 + 27*k**2 - 4*k. Let q(p) = -20*p**4 - 27*p**2 + 3*p. Let z(m) = 3*g(m) + 4*q(m). Find the third derivative of z(t) wrt t.\nAnswer: -480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -74*j + 11. Let r(x) = -74*x + 9. Determine 3*d(o) - 4*r(o).\nAnswer: 74*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 167489. Let l(f) = -2*f + 23. Determine l(d(o)).\nAnswer: -2*o + 335001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-72)*4 - 76\/18. Let p be u\/2*((-6)\/(-10) - 0). Which is bigger: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/75 and 29\/45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10000 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5329.89 - -2.\nAnswer: -5327.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g*s*t - 10*g*t*z - 2*g*z - 2*s*t*z + 3*s*t + 3*t*z - z wrt g.\nAnswer: 2*s*t - 10*t*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5 + w - 5*w + 1. Let p(t) = t**2 - t - 7. Let x be p(4). Let u(i) = -8*i - 7. Let l(b) = x*d(b) - 3*u(b). Find the first derivative of l(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -181*k**3 - 33*k**2 - 31*k + 1. What is the lowest common multiple of u(-1) and 240?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -87*w + 84*w - a, 0 = -2*w - 4*a - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + u)*(-2*u - u + 5*u) + (-u + 4 - 4)*(-3*u + 6 - 6) - 2 + 2 - 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-18)*-4*(-14)\/(-18)*1283178\/1497041.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/(1\/(-5)). Let m = f + 1. Let i = m - -23. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46539, -93082, -139625, -186168?\nAnswer: -232711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 328*r**2 + 21436*r - 270848.\nAnswer: -4*(r - 23)**2*(r + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 179952?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*f**4*o - f**4 + 2*f**3 - 22*f**2*o + 2*o wrt f.\nAnswer: 504*f*o - 24*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/6*((-1 - 3) + 1). Suppose 0 = -3*t + 52 - 7. Solve d*i + t = -3*f + 6*f, 5*i = -2*f - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 53 = -14*y + 4*y - 2*p, -2*p = 5*y - 27 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*(-3)\/(-2)*6. Let b(z) = 3*z - z**2 - 5*z**3 - 4*z - 1 + 4*z**l. Let o(m) = -11*m**3 - 6*m**2 - 6*m - 6. What is 6*b(c) - o(c)?\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153053 is divided by 2051?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -228, -341, -454, -567, -680?\nAnswer: -793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 2428375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22210355, -22210349, -22210343, -22210337, -22210331?\nAnswer: -22210325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(99) + -2 + sqrt(99) + 0) + sqrt(55)\/(sqrt(35)\/sqrt(7)) + (2 + sqrt(11))*-6)**2.\nAnswer: 140*sqrt(11) + 13479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-4*u + 2 + 0*u - 4*u).\nAnswer: -16*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 4*n. Let s be y(-6). Does 11 divide s\/(-42) + (-75)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1500 - 7?\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5904.38 and 75.\nAnswer: -5829.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000001100 + 100110111?\nAnswer: -100010011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 4:38 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.9828 - 0.0172. What is the biggest value in w, -2\/5, -4\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 15 = 17*t + 5*g, -3*g = -5*t - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.247 + -0.053. Let v = 42 + -41. What is the closest to v in 2, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*l - 136*l = 16. Let b be 0 - ((3 - 8) + 0). Suppose -j - 8 = b*c, -6*c - 10 = -j - 5*c. What is the remainder when j is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12496 and 95920?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*l**3*r**2 + 4*l**3*r*s + 3*l**2*r**2*s - 2*r**2*s - 4*r wrt r.\nAnswer: 40*l**3 + 6*l**2*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**2\/2 - 7*f - 8854. Calculate a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 77 + 27. Suppose i*g + 36 = 14*g. Suppose -7*x + g*x = 180. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c - 1 + 27*c - 30*c in the form a + i*c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1429 - -1246a?\nAnswer: 11041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -918, -1833, -2744, -3651, -4554?\nAnswer: -5453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/3 + (-1)\/(-3). Suppose f - 5*i = 15, 5*f - 3*i = 3*f + 58. Let m = 0 - -4. Solve f = -m*o + 5*r, -4*o + a*o = 4*r - 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)\/(2\/(-12)). Suppose 2*f = -t*f + 8. Solve s = f - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**21\/(s\/s**(-15)))**2)**(-2\/17) assuming s is positive.\nAnswer: s**(-20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19544473608 and 0.07.\nAnswer: -19544473607.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7204431 millennia to months.\nAnswer: 8645.3172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 423.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 287*n - 2073. What is g(-7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27635001*x + 24784323 with respect to x.\nAnswer: -27635001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 54, 0, 33, 5 in decreasing order.\nAnswer: 54, 33, 5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 + 0.5. Suppose -7*m = 6*m - 12*m. What is the closest to m in -5, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-3) + 616\/(-924).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 - 2*l**3 - 4*l**3 + (0*l**2 - l**2 - l**2)*(-10 + 10 + 3*l) + 3*l**2 - 3*l**2 + l**3 + (1 + 3*l**2 - 1)*(5 + 2*l - 5).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2285425 and 130?\nAnswer: 59421050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 157*w**2 + 10*w + 19. Is m(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -4. Suppose 5*p + 3*d - 5 = 4*d, 0 = -p + 5*d - 23. Solve p = 2*a - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 + (-1)\/(259\/(-140) + 2). What is m in -m + 2\/3*m**2 + n*m**3 + 0 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45774455 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 240.\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5\/8)\/(a\/a**(-28)) assuming a is positive.\nAnswer: a**(-237\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 4*x - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 17*k - 65. Let v be m(7). Let h = v + -58. Put 2, 4, h in decreasing order.\nAnswer: h, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 12 = -5*t, -5*k + 3 + 8 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 923*x + 3. Let d(c) = -912*c - 3. What is -3*d(z) - 4*n(z)?\nAnswer: -956*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (17 + -9)) + 10 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 6*m**2 + 5*m - 5. Suppose -32*h - 110 = -54*h. Determine d(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13671059*d**2 - d + 1761257 wrt d.\nAnswer: -27342118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:05 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 103, 246, 457, 742, 1107, 1558?\n\"Answer: i**3 + 25*i**2 - i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 6, r: 1, n: 9}. Give prob of sequence pp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**4 + 0*o**4 - 13*o**4 + (2*o + 3 - 3)*(-2*o**3 + 5*o**3 - o**3) to z*o**4 + t*o**3 + y + l*o + f*o**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2406*m**2 - 4*m - m + 5*m + 2398*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7529.308nm to centimeters.\nAnswer: 0.0007529308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -10673482?\nAnswer: 23\/10673482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 6) to base 16\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 5*d**2 - 3*d - 3. Let n be l(-3). Let g = n - 6. Solve g = -3*a - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6, -18*z + 336 = -9*z - 5*r. Let m = -10 + 14. Suppose -5*k + 6*k = m*u + 42, u = -2*k + z. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3)*(-9)\/18*9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**5\/11 - 628*i**4\/11 + 24572*i**3\/11 + 146208*i**2\/11 - 1526670*i\/11 - 3431484\/11 = 0.\nAnswer: -9, -2, 7, 51, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 5*p - 23688 = 0. What are the prime factors of ((-3)\/9)\/((-2)\/p)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 2. Suppose -4*b + 2*x - 13 = 7, 3*x = 0. Let n be g(b). Suppose n*r = 5*r + 64. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:31 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 3) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a + 43. Let y(d) = -21*d - 195. Let t(v) = 9*q(v) + 2*y(v). Let n(h) = -h. Determine -2*n(b) - t(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/286 (b) 7 (c) 14.6 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1*8\/(-12))\/((-276)\/621)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*s**2 + 99*s**2 + 336*s**2 + 605*s**2 + 149*s**2 + 626*s**2.\nAnswer: 1688*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:25 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 531275.\nAnswer: -584402.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*c - 2. Let y(r) = -3*r - 7*r**3 - 9*r**2 + 4*r**3 - c*r. Let n(f) = f**3 + 4*f**2 + 4*f. Determine -9*n(z) - 4*y(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(480) + sqrt(30))\/sqrt(6).\nAnswer: -19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/5640*2\/24*2280\/95?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 237 in 3061, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/385792 and -11\/346336.\nAnswer: 30477568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4430180 by -443018.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -101, -109?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ullupe. What is prob of sequence lpel?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (-3 + 28 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 649 divide 746169135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6317 > -6319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43446, 86536, 129342, 171870, 214126?\n\"Answer: a**3 - 148*a**2 + 43527*a + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(245) + 1 - (sqrt(245)*-1 + 4 + sqrt(245))**2.\nAnswer: -11 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/12 - 2*c. Let b(w) be the first derivative of -w**2 - 2. Determine n(b(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1860)\/(-210) - (-16)\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.05985762.\nAnswer: 0.05985762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39584, -79145, -118948, -159113, -199760, -241009, -282980, -325793?\nAnswer: -369568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 + 220*i**2 + 1755*i - 1980 = 0?\nAnswer: -33, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627 at most 1627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 - 2*x + 3. Let v be b(-3). Suppose 3*n = -99 - v. Find the common denominator of n and 97\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 10:37 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7179089 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4582582*c**2. Let u(a) = a**2. Calculate x(u(z)).\nAnswer: -4582582*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5314323 - -3.769643. Let s = -14.5618663 - z. Let n = -14.8 - s. What is n rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779932?\nAnswer: 2, 7, 11, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -21. Let v = n - -45. Factor -2*l + 24 + v*l**2 - 25*l - 3*l**3 - 9*l.\nAnswer: -3*(l - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let l(s) = s**3 - s + 17. Let b be l(0). Suppose -3*m - u = -8, 3*p + 4*m = b. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)*(h*h**30)\/h*h)\/(h\/(h\/h**(-1)*h*h*h))**12 assuming h is positive.\nAnswer: h**(396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/352*992\/(-186)*209?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2*z**3\/45 - 3*z**2\/5 + 3121. Let t(u) = 0. Calculate u.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*h*u**5 - 2271593*h*u**2 + h + 268039*u**6 - 3*u**2 wrt u?\nAnswer: 360*h*u**2 + 32164680*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -166.92023 rounded to zero dps?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 2051 + 2051.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-1 - 0) + -3) - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9903.336 millimeters?\nAnswer: 9903336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 131, 196, 261, 326, 391?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7814.\nAnswer: 2, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**4\/5 - 31*d**3\/5 + 222*d**2\/5 + 64*d - 512\/5 = 0.\nAnswer: -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 37 - 56)*(5*v - 3*v - v)*(-2 - 1 + 4)*(2*v - 6*v + 2*v)*(-2*v + v + 3*v + (v - 1 + 1)*(-2 + 5 - 1) + 19 - 19 - 11*v).\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/15)\/((-6)\/36))\/(-58)*246\/369?\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 20*s + 1 - 1 + 7*s**2 - 5 - 11*s - s**3. Determine c(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001133 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 0.5, -7, 4, 0.07, -4\/7 in ascending order.\nAnswer: -60, -7, -4\/7, 0.07, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39121 + -605?\nAnswer: 38617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(228)\/(3*(sqrt(12) - (1*sqrt(12) - sqrt(12) - sqrt(12)))) + (2*sqrt(209)*5)\/sqrt(11))*-1)**2.\nAnswer: 70699\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. What is the closest to 2\/3 in 5\/3, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(3 - (-6)\/(-12)). Solve 6*j - 2*h = 2*j - 30, -15 = z*j + 2*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**3 + u. Let y be g(1). Let h = -4 + y. Let d = -8 - h. Calculate the remainder when 7 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a - s + 289, s + 376 = 4*a. What is the greatest common divisor of a and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from aaajajj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 9118. Let c(d) = -3042*d - 9. Calculate l(c(p)).\nAnswer: 6084*p + 9136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/14)*r\/(r\/r**(-14\/5)))\/(r**30\/r**0))**(-25) assuming r is positive.\nAnswer: r**(11505\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2*m + 3. Let f be o(-2). Suppose -3*n - 5 = -3*s + 7, 3*s = -f*n. Suppose 4*b = -4*v + 1928, 0 = s*b - v - 3*v - 982. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 2*y**7\/21 - y**6\/30 - 25*y**3\/6 - 3*y**2\/2 - y - 18. Find the second derivative of m(s) wrt s.\nAnswer: 80*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3677 + -0.6323. Is a at least -2178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.08 * 0.6.\nAnswer: -12.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*q**2 + 28142488*q + 3310880.\nAnswer: 4*(q + 413860)*(17*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/17 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-13))**(1\/18)\/(l\/(l\/(l*(l*l*(l\/l**(3\/14))\/l*l)\/l*l*l))*l*l**22))**(-7\/4) assuming l is positive.\nAnswer: l**(449\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + -49 + (-4 - 1) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 16 = 63*k - 67*k, -s = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2154371, 4308746, 6463121, 8617496, 10771871?\nAnswer: 12926246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*(sqrt(187)*-1*2 + sqrt(187))*-5)\/((2*2*sqrt(99))\/(sqrt(144)*4)).\nAnswer: -80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357454.\nAnswer: 2, 29, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) 0.3 (b) 1\/2 (c) -13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 6*r**2)*(r**2 - 2 + 2) + (r**3 + 0 + 0)*(-1 + r + 1).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**3 + 11*r**3 - 20*r**3.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**3 - 186*r**2 + 369*r - 1378. Factor l(a).\nAnswer: 3*(a - 123)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, -2\/125, 7\/1473, -0.3 in descending order.\nAnswer: 7\/1473, -2\/125, -0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(192) + -2*sqrt(192))**2.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o*o*o**(2\/31)*o))**(-8)*o**(-23)\/(o\/(o*(o\/(o*o**(1\/2)*o*o)*o)\/o)) assuming o is positive.\nAnswer: o**(-557\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.1 (c) 2\/27 (d) -4 (e) -5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-77))\/(20\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 52714070107773 from -7.\nAnswer: -52714070107780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 7 - 1. Let w be (-8)\/(-20) - g\/5. Let r = 321 + -2893\/9. Is w not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 - 28*z**2 + 75*z - 39. Is d(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 184580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3331043 (base 6) to base 11\nAnswer: 104877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0943 + -193.2743. Let s = j + 193. Is s at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32760 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 21. Let t(h) = -22*h - 370. Give 20*c(a) + 2*t(a).\nAnswer: -4*a - 320","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, 1 i, and 1 e when four letters picked without replacement from {d: 1, e: 1, k: 1, i: 1, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r + 5 - 2 - 3.\nAnswer: -44*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*o**5 + 172*o**5 + 2552*o**6 + 3597*o**2 + 93*o**5 - 353*o**5 wrt o.\nAnswer: 306240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003952739481 rounded to 6 decimal places?\nAnswer: 0.003953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.29 - -0.69. What is the nearest to -1\/3 in 3\/2, c, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/14 in -1\/3, 3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/715000 = 128\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -4.525182.\nAnswer: 3.474818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, c: 10, r: 2}. What is prob of sequence rc?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9)\/54)\/(1\/(-2634))?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/(-1*sqrt(5)) + -3.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 135.382? (a) -2\/3 (b) -3\/8 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 67823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109772872 - -2.\nAnswer: 109772874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.184 (c) 1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -102, -109, 3 in descending order.\nAnswer: 5, 3, -4, -102, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 2*h - 2. Let g(w) = 3*w**3 - 14*w**2 - 4. Let b(f) = -f**3 + 5*f**2 + 1. Let m(j) = 11*b(j) + 4*g(j). Let d be m(2). Give c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 14 - (4 - 7). Let w = 52 - i. Let s(m) = -2*m**2 + 36 - w. Let t(x) = -7*x**2. What is t(s(z))?\nAnswer: -28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 5*l + 3*g - 25, 4*g = -12. Solve 4*y + 4*p = y + 3, y - 3 = -l*p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1753 divide 2364332907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 922*d - 41*d - 118*d.\nAnswer: 763*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/120 + 3*y**5\/20 + 3*y**4\/8 + y**3\/2 - y**2. Let n be (-198)\/25 + 96\/(-1200). Calculate p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43060 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3074 - -3102. What is the smallest common multiple of j and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + 13726?\nAnswer: 13666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-8)\/200*5*(-54)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 6*o - 3. Let a(u) = -u**2 - 6*u + 4. Give 5*a(s) + 6*q(s).\nAnswer: s**2 + 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*q = -1190, -4*q - 643 = -2*m - 53. Suppose a = -2*a + m. Calculate the highest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189\/21*28\/(-63)*(-24)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*b - 84*b - 21 = 0. Solve b = -5*p + 32 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6) - (340\/24)\/(-5). Let p(s) be the second derivative of s**3\/6 + 19*s**2\/2 - 25*s. Let a be p(-16). Solve 0*f + a*f = 0, -w*f = k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312377071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 19.3.\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450 divided by -25.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2314 and 4?\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2055 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxqqqqxqxqqqx. Give prob of picking 1 x and 1 q.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5\/7584229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -392 + 241. Let d = -146 - h. Sort d, 6, -3 in increasing order.\nAnswer: -3, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -101*k**3 + 42*k**3 - 22*k**3 + (-3*k**2 - k**2 + k**2)*(-4*k - 5*k + 5*k) + 8*k**2 - 8*k**2 - 4*k**3.\nAnswer: -73*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1731813.\nAnswer: 3, 577271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24148 + -5121.932\nAnswer: -29269.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72485 or 72486?\nAnswer: 72486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8921 - -25091. List the prime factors of a.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f - 15 = 0. Suppose 423 = -2*r + 431. Solve u = -f*u - r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**2 + 2464*l**3 + 3*l**2 - 2463*l**3.\nAnswer: l**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.5, -3\/4, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z = 40*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**3 + 5*h**2 - 81*h + 77. Determine t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j**2 + 2*j**2 - 27*j**2 + 3*j**2 + j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*o + 1 + 2, 4*t + 4*o = 12. Solve t*h = 1 - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 a when three letters picked without replacement from aovoa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - n**3 + 4*n**3 - 15*n**3 + 2*n + 2 as g*n + r + z*n**2 + y*n**3 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, 2, -1\/2, 5.8511?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36814714 is divided by 410.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 25. Suppose -7*u + 11*u - r = 0. Suppose 2*w - w - 5*t = u, 5*w = 4*t + 127. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - x**4 + 4 + (-x**2 - 3*x**2 + 3*x**2)*(x**2 + 104*x + 2 - 104*x) in the form p*x + c*x**4 + j*x**2 + u + d*x**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*u + 14, -62*o - 46 = -5*u - 61*o. What is the highest common factor of u and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + -4*(sqrt(110) - 2*sqrt(110)) + sqrt(110) + sqrt(110)*2*-6)\/((sqrt(10) + sqrt(40)*-2)*-4).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -7. Suppose -2*n + 15 + 35 = q*p, -5*p + 141 = -3*n. What is the least common multiple of p and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 + (-161)\/(-70)*2. Solve o - 21 = -c*a - 6, 2*o + 30 = 5*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2. Let d(q) = -214*q. Calculate x(d(i)).\nAnswer: -91592*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 1 + 11 + 14*j - 3*j.\nAnswer: 11*j + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 411957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - d + 1361 = 0, -2218 = 4*f - 2*d - 860. Let u = f + 2389\/7. What is the nearest to 0 in u, -1, -30?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1*(4 + 78\/(-12)). Solve -z - m = 0, -4*z = 2*g - 4*g + 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -88\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13653 + -9?\nAnswer: 13645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51679935113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 3, 42\/5, -0.52, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -8. Suppose -2*v - 3*v - 4*v = 0. Let r be v + (4 - 3) + -7 + 3. Put r, 6, i in decreasing order.\nAnswer: 6, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 7\/24*s**4 + 2*s**2 + 3\/2*s**3 + 0 + 1\/60*s**5 + 0*s. What are the prime factors of h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2531, -5064, -7597, -10130, -12663?\nAnswer: -15196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 8*l + 7. Let t be i(5). Let w = 28 + t. Suppose p = -4*v - 4*p + 45, -p + w = 3*v. Solve 0*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 5*c**4\/24 + c**3\/2 - 95*c**2\/2 - 170*c. Let u(w) be the first derivative of v(w). Determine u(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = -0*a + 2*a, 3*c + 4*a - 13 = 0. Sort -1040, c, 0 in increasing order.\nAnswer: -1040, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.45 - -12. Let w = c + -0.05. Let f be (3*(-12)\/45)\/(2\/(-5)). What is the smallest value in f, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 + 28 = 4*c. Suppose 5*r = -4*o - 3 + c, 3*r = -5*o + 28. Suppose 3*k - 12 - 19 = -5*p, 4*p - 26 = -3*k. Solve -q + r = -p*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/35*75*(-28)\/(-2520).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*i**2 - 808*i + 5820.\nAnswer: 4*(i - 15)*(7*i - 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 - 7. Let h(p) = -p**2 - 12*p - 11. Let x be h(-9). Is ((-1011)\/6)\/(a\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29610060?\nAnswer: 2, 3, 5, 193, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 524730 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128628.29 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 21. Let f be h(-8). Is 93 + (6\/f)\/(10\/(-25)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 576.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/38 and -41\/38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 2. Let j be (216\/(-90))\/(2\/(-75)). Suppose 0 = 7*k - 48 + j. Calculate z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 + -186.9. What is the closest to 9\/4 in -1, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10575422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 345 and -707.923.\nAnswer: -244233.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let b(n) = 2*n**2 - 2*n. Let z(g) = b(g) - 2*w(g). Let v(d) = 2*d + 38. What is v(z(s))?\nAnswer: 4*s**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2309 is divided by 24\/10*560\/1176*7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8660 and 60.\nAnswer: 25980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -41*r**2 + 856*r + 858. Give f(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -27 - (3 - (-1 + -12 + 8)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3)*(-945)\/(-270). Which is greater: j or -0.54?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 273.1 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-4)*y*y*y*y)*y)\/y)**4*(y*y**(7\/2))\/y*y**3)**(-41) assuming y is positive.\nAnswer: y**(-533\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one halves of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 34 - (13 - 63)) + 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.24 + 13.76. Let q(m) = 2*m**2 - 58*m + 380. Let u be q(19). What is the closest to k in u, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65970)\/(-58640))\/((-222)\/32).\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24618 + 6?\nAnswer: 24625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 2, y: 5, w: 4, e: 4}. What is prob of picking 1 e, 1 o, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2337*t + 32979 - 64720 - 126558 + 13405 for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132197\/13770 + 1\/2754. Let m = -160 - -178. Find the common denominator of 240\/m*1 + -4 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 7, 132 in decreasing order.\nAnswer: 132, 20, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 (base 8) in base 11?\nAnswer: -3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 16353.\nAnswer: 49059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + 9*x - 9. Let k(t) = -t + 1. Give -36*k(g) - 4*o(g).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1501 + 2*i + 1560 + 14*i + i**2. Give y(-17).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10*1*16\/40. Suppose -17 = -3*s + c. Let a(x) = -x**3 + 8*x**2 - 6*x - 2. Let u be a(s). Solve 0 = -2*j + 3*h - 15, u*j + 18 = h - 0*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 4) in base 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 769 - 734. Calculate the greatest common divisor of 77 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/44 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*12\/(3 + -6). Solve s*f - 5 = 5*q + 9, 1 = -2*q - 3*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2)*b)**(-2\/13)*b\/b**8*b**8*b*b)**(-36))**(-34) assuming b is positive.\nAnswer: b**(37944\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1883 = -4*d - 1887, -3 = -z + 4*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1237 divided by -1528\nAnswer: 1237\/1528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 2. Let q be j(4). Let l be 3360\/(-2940) + (-1 - (-6)\/(-7)). Let m be (-675)\/(-50) - l\/q. Calculate the highest common divisor of m and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9336 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 6*g**3 - 3*g**3 + 11.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.43 + 103. Let m = 4.43 + d. Put 1\/8, m, -0.5 in decreasing order.\nAnswer: m, 1\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Suppose 3*y + 15 = 2*z + z, 0 = -2*z - 3*y - 15. Suppose -2*p + 4*p - 48 = z. Let c(j) = -3*j**2 - p + 24. What is k(c(t))?\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n*n*n\/(n\/n**9))))\/(n\/(n\/(n*(n**4*n)\/n))))\/(n\/(n*((n**(-9)*n)\/n)\/n*n)*n**(-4\/7)) assuming n is positive.\nAnswer: n**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*y = -16, j = -5*y - 35 + 13. Suppose -9 = -j*p - 0. Suppose 0 = -b - 2*w + 29, -p*w = -b + 1 + 3. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -194\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -f - 2*j, 0 = 33*f - 29*f + 5*j + 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4985090024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -222 (b) 3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose 0 = 5*p - 5*q - 55, -2*p + c = 5*q - 15. Solve 3*h = h - p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8806\/5 + -1761. Suppose 0 = 2*a - 3 - 1. Let z be a*(11\/10 - 1). Is z at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 51*h + 88. Let l be q(25). Calculate the highest common factor of 4181 and l.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 1 - 3. Let g = -3 - d. Let m(n) = 1180*n - 75505. Let s be m(64). Does g = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1614445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -15.3. Let u = 1.3 + -0.3. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 1. Let n be s(5). Let o(t) = t**2 - 79. Let x be o(9). Put x, -5, n in ascending order.\nAnswer: -5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -384, -377, -368, -357, -344?\n\"Answer: v**2 + 4*v - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 + (-3 - (-6 - -5)) - -10) + -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-60))\/((-1)\/10)*(-28)\/56?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g - 95. Let j be 40*5\/15 + (-14)\/(-21). What is the remainder when t(j) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let m(i) = i**2 - 6*i + 7. Let t be m(5). Suppose 5*k - g = 13, -t*g + 2 - 10 = -k. Let q(u) = -u + 5*u**k + u. Calculate j(q(v)).\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 3*w**2 + 3*w + 1. Let d(r) = -2*r**2 - 65*r + 2177. Let x be d(-53). Give b(x).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**3 - 19*m**2 + 91*m + 7. Let j(z) = 3*z**3 - 10*z**2 + 45*z + 4. Let q(s) = 4*f(s) - 7*j(s). Find the second derivative of q(i) wrt i.\nAnswer: -6*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 16\/73, 147?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14407 or -14173?\nAnswer: -14173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -38*w - 935. What is the remainder when h(-27) is divided by (2 + -1)\/(-1) + 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1439a (base 14) in base 15?\nAnswer: -ecb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h\/(h*h*h**(-1\/15)*h)))))\/(h*h\/h**1*h)*h*h**5*h**5 assuming h is positive.\nAnswer: h**(179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.04779 to one dp.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.94. Let p = y + 0.46. Let z = 1.8 + -2. Put p, z, 0.1 in decreasing order.\nAnswer: p, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-846)\/470)\/((-1413)\/10205).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10055 - 2?\nAnswer: 10053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 319909519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d**2 - d**2 - 18*d**2 - 9*d**2 + 10*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6172*n - 1500 with respect to n.\nAnswer: 6172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.031 - -0.239. Let g = 0.4 - r. Let w = 0.1299928 - g. What is w rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - (1 + (-33 - -13) - -53)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(2 - 4 + 1)*(4*v + v - 4*v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 38 = -22. Suppose 3*a + 0*a = 5*m, -3*m + 34 = 5*a. Suppose 0 = -d + 5*t - 22, 5*d - t - 7 - m = 0. Solve y - 2 = -k, -7*y + d*y = -x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-6 - 0) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 9) to base 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(304) - (sqrt(38)\/sqrt(2)*3 + sqrt(19))) - ((sqrt(133) + sqrt(133) + sqrt(133)*-1)*3)\/(sqrt(63)*-6).\nAnswer: 73*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 34462896.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (5 - -9) + 11 + (6 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x = 65*x - 4233. What is the remainder when x is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1245414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/49)\/(((-4)\/910*-5)\/(372\/806))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -65, -160, -295, -476?\n\"Answer: -l**3 - 11*l**2 - 21*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 9*r + 84, 17*o + 12 - 45 = 20*o + 3*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66510.\nAnswer: 2, 3, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + u = 1, 5*u = -m + 27. Let t be (2\/21)\/(10\/(-15)). Which is the third smallest value? (a) m (b) -6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 0)\/(1\/(-1))*(36 + (71 - 105))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7648*p**3 - 3401*p + 2 wrt p?\nAnswer: -45888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10012.6 - -10013. Put -199.8, -1\/5, c in descending order.\nAnswer: c, -1\/5, -199.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66020 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*j - 15, -n - 7 = -2*n - 3*j. Is 10 a factor of 1 - n\/((-10)\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167107, 334201, 501283, 668347, 835387, 1002397?\nAnswer: 1169371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490317.795 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -15, 3\/7 in ascending order.\nAnswer: -15, -8, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v**2 + 298*v + 160. Determine q(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165057691\/210270 + -168611\/215. Let s = l + -3\/326. Find the common denominator of s and 63\/95.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100315723 is divided by 68?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 3192296.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 - 2*x**2)*(232 + 358 - 359).\nAnswer: -231*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssspbbbbbpbbbsbbs. Give prob of picking 4 s.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 7, k: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 2, 0.4, -0.4, -0.022?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30548914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*p - 2905 + 1555 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*m - 3\/2*m**5 + 0 - 6*m**4 - 9\/2*m**3 + 0*m**2.\nAnswer: -3*m**3*(m + 1)*(m + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 + (3 - 1). Let x = -1778 - -1782. Solve 2*i + k*i + x*m = 8, -4*m = 3*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 653882489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 3:58 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(576))\/(-6*sqrt(18)) + -3*(-1*sqrt(2)*-2 + (1 + sqrt(2))*-3 + -5))**2.\nAnswer: 240*sqrt(2) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440.3215 weeks to milliseconds.\nAnswer: 266306443200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*z + f**3 + 540*f**2*z + 812*f**2 - 50*f + 61*z - 483 wrt f?\nAnswer: -6*f*z + 6*f + 1080*z + 1624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6156\/(-252) - (2 - (-17)\/(-7)). Let a be 1 + (-44)\/z + (-2)\/(-12). Let j be (-2)\/7 + (-2)\/(-7). Solve j = -2*m + a*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732658 is divided by 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9027.242 grams in micrograms?\nAnswer: 9027242000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 82 + 28 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18 - -8)\/120 - (-1)\/(-4). What is the smallest value in -1.36, 0.5, -0.3, d?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*w + 45. Let x = -35 + w. Let u be -3 - 1\/(x\/(-16)*-2). Let o(h) = -h - 8. Determine o(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 6:47 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*r + 8*r**2 - 21*r - 12*r + 0 - 12*r**3 + 40*r as f*r**3 + x*r**2 + b + o*r and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = -5*a + 2, 2*c = 4*a - 4. Solve 15 = -4*l + 3*q, -12 = 3*l - 3*q - a*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*w**2 + 13*w**5 - 3*w**2 + 8*w**2 - 3*w**2 wrt w.\nAnswer: 780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/24 and 181\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6387431.\nAnswer: 41, 83, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 535 + -525 + 0 + 0 - (-6 + (86 - -5))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q + 9. Let n be v(7). Suppose 2*a - 4*a - 3*r + n = 0, 3*a = 4*r + 62. Solve -a = -4*l + y, y - 10 = -4*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 432*t**2 - 60*t - 130. List the prime factors of x(-2).\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (32 - 19) + (6 - 18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1660*j - 463 + 463 - 1547*j.\nAnswer: 113*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajhajhhahhhr. What is prob of picking 1 j and 1 r?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 8:22 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/324 and -163\/360.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-8)\/l)\/l)\/l)\/l*((l**(2\/67)\/l)\/l)\/l)\/(((l**(1\/7)*l)\/l)\/l)**(-4) assuming l is positive.\nAnswer: l**(-8629\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) + sqrt(104) + (sqrt(104) - -2*sqrt(104)))*-1)\/(sqrt(24)\/(1*sqrt(3))) + -3.\nAnswer: -3 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-6)*-2 - 0. Find the first derivative of o*k**3 + 6*k**3 - 5*k**3 - 2 wrt k.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/7)\/(a**(-2\/9)\/a))**(23\/5))**(-19\/6) assuming a is positive.\nAnswer: a**(-18791\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 710197061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 7:54 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 1, t: 1}. What is prob of picking 1 t and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 269443*a. Let v(z) = 145*z. Determine x(v(k)).\nAnswer: 39069235*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9691*f**3 - 9691*f**3 - 34*f - 3 - f**2 - 1974*f**5 wrt f?\nAnswer: -118440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1749*c - 74838. What is k(-43)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2) - (1 + 30\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 9:05 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1010 - 1010. Suppose 2*q = h + 18, -5*q + 26 = h - 12. Let v = q + -6. Solve -2*c + 2*s = -o*c + 8, v*s + 1 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75142928.\nAnswer: 2, 7, 670919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13488\/19 - -710. Let l = 3 - 2. Which is the nearest to l? (a) y (b) -0.3 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14741.\nAnswer: 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 55*i - 9*i**3 - 59*i - 9*i**2 - i**4 + 21 - 24. Let z(f) = f**4 + 2*f - f**2 - 2*f - f - 1. Let r(k) = g(k) - 3*z(k). Let r(s) = 0. What is s?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.668 - -5.368. What is the third biggest value in y, 39, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/577 + 1144\/2885. Let z = -1 + -1. What is the third biggest value in -1, z, -7, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-267*i**2 - 133*i**2 + 211*i**2)*(-4*i**2 + 2*i**2 + 0*i**2 + i**3).\nAnswer: -189*i**5 + 378*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (-2*sqrt(147) + -1)**2) + 5 + (-5 + (sqrt(147) - (sqrt(147) + 3)))**2 + 4.\nAnswer: -516 - 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 + 2 + 0*d**2 + 2*d + 7*d**2 + 5*d**2 in the form n*d + c*d**2 + v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*(8 + (-378)\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**3\/3 + 13*d**2\/2 + 5*d. Let m be v(-10). What is the greatest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 287*w - 945. What is o(3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 = -4*g, -5*g + 5*b + 9 = -1. Suppose g*y + 5 = -y + 5*l, -2*l = -3*y - 2. Put -60, 5, y in descending order.\nAnswer: 5, y, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5177 - -120?\nAnswer: 5297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357059 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -214 divided by -83814\nAnswer: 107\/41907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1410, -3, 1, -4, 14, -6, 5 in decreasing order.\nAnswer: 1410, 14, 5, 1, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 35 in ascending order.\nAnswer: -3, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 14*x + 4. Calculate c(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 2*p + 4*p)*(2 + 3 - 6)*(5*p**2 + 2*p - 4*p**2 + 0*p) to f*p + i*p**2 + v*p**3 + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.223 * -27753.\nAnswer: 6188.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.883968 from 10337836.\nAnswer: 10337835.116032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5432086.\nAnswer: 2, 11, 246913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**3\/3 + 2*g**2 + 148. Factor k(v).\nAnswer: -v*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(85)*-1*-6*2)\/(-1*(sqrt(245) - (-4*sqrt(245)*-1 + sqrt(245)))).\nAnswer: -12*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -13.9. Let t = -0.04 - -0.54. Let a = 0 + -0.5. What is the second smallest value in a, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 990*t**2 - 35218986*t\/7 + 124181722346\/7.\nAnswer: 2*(t - 3839)**2*(t + 4213)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in millimeters?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.3. Let a = -20 - -31. Let k = a + -15. What is the closest to t in k, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 901875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 4:12 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j - 4. Let b(l) = -7*l - 2. Let i(o) = -5*o + 1 - o**3 + 2*o**3 - 6 + 576*o**2 - 572*o**2. Let w be i(-5). Determine w*b(a) + 3*t(a).\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 254179 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r + r + 6*r + 6. Calculate o(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = y + 11, -y + 17 = -3*y + t. Let d(w) = 4*w**2 + 7*w + 15. List the prime factors of d(y).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 53, 13, -18.82?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*z + 1 - 7, -b = 8*z + 11. Solve -3*f = 3*v - 6, -b*v = 6*f - 2*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**2 + 7570*s**3 + 6983*s - 2979*s - 3478*s wrt s.\nAnswer: 45420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -599158 or -599160?\nAnswer: -599158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*a*b**4 + 9*a*b - 856*a - 2*b**4 + b**2 + 3 wrt b.\nAnswer: 52*a*b**3 + 9*a - 8*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19457.\nAnswer: 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 0*m - 5\/2*m**2 - 47. Let w(q) be the second derivative of -q**4\/3 - 4*q. Determine p(w(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.749 - -28.749. Which is the second biggest value? (a) 8 (b) j (c) -2 (d) 0.2 (e) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-3 + 31)) + 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*f - 6 = 0, 5*n + 6 = -f - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005122 rounded to four dps?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 0*r**2 - 169 + 100 + 4*r - 35 + 2*r**2.\nAnswer: 2*r**2 + 4*r - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 3*k - 3*k + (2*k**2 - 4*k**2 - k**2)*(0*k + k + 0*k) - 5*k**3 + 2*k**3 + 5*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -50 + (34 - 16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13095 and 9215.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 0.3 (c) -2\/229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.376 + 1.624. Put -31, f, 0.1 in ascending order.\nAnswer: -31, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 9*h - 1. Let m = 78 + -83. Suppose -4*n + 0*r + 3*r + 8 = 0, 5*n - 10 = 3*r. What is the remainder when j(m) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007858 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.755 - -3.245. Let z be 2 - 0 - 70\/49. What is the second smallest value in w, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j - j**3 + 792 - 2379 + 782 + 784 to the form u + d*j**3 + a*j**2 + k*j and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from uiucuubc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let j(g) = -66*g + 7. Calculate r(j(y)).\nAnswer: 66*y - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1204*g - 1075. What is the hundreds digit of n(47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2030*z - 1020108. Let o(k) = -2*k**2 - 2035*k + 1020112. Let p(r) = -4*o(r) - 6*y(r). Determine t, given that p(t) = 0.\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -233671689.14 - 10.6.\nAnswer: -233671699.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**4\/24 + 100*i**3\/3 + 38*i**2 - i - 12. Let f(g) = g. Determine h(f(a)).\nAnswer: -a + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83\/74, 0.18, -25 in ascending order.\nAnswer: -25, 0.18, 83\/74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 6269?\nAnswer: -626a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3 = -w. Suppose -2*l = w - 79. Suppose -4*q + 31 = h + 2, 4*q - l = 2*h. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6. Let s(j) = -157*j + 53. Give -s(x) + 4*w(x).\nAnswer: 157*x - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -68\/7, 3, 3\/7 in descending order.\nAnswer: 3, 3\/7, -0.3, -68\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -568902.8 times -0.3\nAnswer: 170670.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/3 + 12841732*p**2\/3 + 3435628822784*p + 3435624542208.\nAnswer: 4*(p + 1)*(p + 1605216)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllwwssllswlwl. Give prob of picking 3 w.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48998068 - 29926177 = -39*p - 16975826. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152*107 - (153 + -146) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/9? (a) 5 (b) 13\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4251*t - 4248*t + 8487*t = 1452 for t.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59221.93mm in centimeters?\nAnswer: 5922.193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 17 = 3*b + 23, 0 = -3*n + 3*b + 30. What is the second smallest value in 1\/8, n, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*f**2 + 43*f**2 - 3*f**3 + 54*f**2 + (-5 + 4 + 5)*(2*f**3 - 2*f**3 - 2*f**3).\nAnswer: -11*f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -19 - 18 + 6*o + 5*o**2 - 11 + 42. Let r(t) = -153*t**2 - 187*t + 187. Let p(v) = -187*f(v) - 6*r(v). Let g(w) = 4*w**2. Calculate g(p(y)).\nAnswer: 1156*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2271234.6 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0085 and 0.2065405?\nAnswer: 0.1980405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2 - (3 + -4)\/(-2). Let j be (-2 + 0)*((5 - 6) + r). Let c be 688\/48 - 2\/j. Solve 2*f = 2*u + c, -3*u - 25 = -3*f + u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihv when three letters picked without replacement from yvhhiiayihap.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3)*v*v**(-10\/3))**(-1\/7))**(1\/9) assuming v is positive.\nAnswer: v**(13\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -24*o + 14. Let d(r) = 13*r - 10. Let f(n) = 14*n - 11. Let h(c) = 6*d(c) - 5*f(c). Determine 17*h(x) + 6*p(x).\nAnswer: -8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 61 (b) 22 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26 - 934\/(-2)) + -22. Solve -406*v = -d*v + 117 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + 15*j**2 - j + 2. Suppose 75 = -5*u + 40. Is s(u) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*l + b + 14, 0 = -3*l - 4*b - 10. Let t be (-3)\/(-2) + l\/4. What is the second biggest value in t, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let u be 16\/7 + 2\/(-7). Suppose 0 = -u*r - r + 27. Let g(s) = 3*s - 2. Let b(x) = -13*x + 9. Let i(z) = r*g(z) + 2*b(z). What is w(i(l))?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/1709398, 2, -3?\nAnswer: 3\/1709398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 16 + 4 + (0 - 2 + 1)*(2 - 3 + 12))*(4*x - 4*x - x**3) - 3*x**3 + 32*x**2 - 32*x**2 to r*x**2 + b + d*x + i*x**3 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 298 in -3, -1\/5, -0.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - q. Let t(i) = 12*i**2 + 18*i. Suppose -12*p = -8*p + 132. Let y = p + 32. Let z(k) = y*t(k) - 9*u(k). Determine b so that z(b) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 5*d - 2*d. Let z = 6 + -9. Give p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12458 and -3?\nAnswer: 0.37374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.04927 months in decades?\nAnswer: 0.06707725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141335.\nAnswer: 3, 5, 13, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + 0*k)*(0 - 1 - 1)*(-278 + 170 + 142).\nAnswer: -68*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 180*b + 794. Give y(-94).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13437*b**2*z + 70*b**2 - 79*b wrt z.\nAnswer: 13437*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90343713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 783.2 * 0.5166\nAnswer: 404.60112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 45267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*h + 557220 = 181*h. What is the remainder when h is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 40*j - 5*z = -10, 0 = 2*j - 5*z + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 48\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (136\/(-24))\/(1\/(-3)). Suppose -b = -o - 15. Find the third derivative of -6*n**o + 27*n**5 + 28*n**5 - 60*n**5 wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5*c - 9 - 18, -c = 2*a + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -476*w. Let t(k) = -2*k. Give i(t(a)).\nAnswer: 952*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4149*x**2 + 17258*x - 17258*x.\nAnswer: -4149*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from ciiciscciccccuccc?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*6\/(2\/(4\/165)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9376 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -23. Is (26 - -3)*(-1 + f) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*r**2 + 17*r**2 - 25*r**2 - 31*r**2 + r**2 as z*r + x*r**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*g - 17, -9*s = -12*s + 5*g + 4. Let o(r) = 2*r**2 - 20*r + 3. Let m(t) = -4*t**2 + 41*t - 7. Determine s*m(a) + 7*o(a).\nAnswer: 2*a**2 - 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 150\/(-36)*2. Let g be (2 - (0 + -4))*20\/8. Suppose 3*i - 9 = 5*j + 6, 3*i - g = -j. Which is the biggest value? (a) w (b) j (c) 1\/4 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 21 = 11. Let n be 338\/(-18)*(-3)\/2. Let y = -27 + n. Which is smaller: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**2 + 3*o - 3. Let i(a) = 17*a**2 - 13*a + 13. Let k be (-2)\/(-12) - (-185)\/(-30). Let y(d) = k*i(d) - 26*m(d). Let v(p) = -5*p. What is y(v(g))?\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 3*r + r)*(r**2 - 3*r**2 + 0*r**2) + 7*r**3 + 6*r**2 - 6*r**2 + (r + 4*r - 3*r)*(-2*r - r**2 + 2*r).\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 3:32 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 466825 and 695800.\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10796 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4\/15 + 3038*p**3\/15 + 1025156*p**2\/15 = 0.\nAnswer: -1013, -506, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 3*p + 2. Let z be i(-4). Suppose 0 = -16*n + 28*n - 12. Sort 10, z, n in increasing order.\nAnswer: z, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 10*p + 5072. What are the prime factors of p?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 19714104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1132*d - 1735. Let h(i) = 565*i + 868. Let z(j) = 9*h(j) + 4*k(j). Differentiate z(a) wrt a.\nAnswer: 557","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -92?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 130. Let j be x(-30). Suppose j = 15*p - 50. Let u be 2\/(-6) + (-20)\/(-6). Solve 5*q - 3*i - p = 0, q = u*q - 3*i + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/26 and -97\/596895.\nAnswer: 1193790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*d = -78 + 3, 18 = 3*n + 3*d. What is the remainder when n is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**(-4)))*((a\/a**(-2\/13))\/a)\/a*(a**(-2\/7))**(15\/8))\/((a**(1\/4))**11\/(a\/(a\/a**(-1)))**26) assuming a is positive.\nAnswer: a**(-2287\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 843556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3642533 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42201499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10179753.5 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 9*v**2 + 17*v - 16. Let a be c(7). Solve -u + a - 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let q(n) = 16*n + 2. Let h(s) = -3*s. Let y be h(-4). What is y*a(b) + q(b)?\nAnswer: 4*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93, -103, -113, -123, -133, -143?\n\"Answer: -10*i - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w - 63*w + 4369 + 7649 = 3286 for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21*2\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) - (sqrt(288) - (sqrt(288) - -1*sqrt(288))))) + 2)**2 - (-1 + sqrt(288) + -1)) + (1*sqrt(288)*-2)**2 + (6*(sqrt(288) + 0))**2.\nAnswer: -60*sqrt(2) + 11814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 522*j + 382. Determine x(-2).\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/231 and 20736\/(-6720)*3\/(-88).\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*r = -21940, -14*r + 21937 = 4*o - 17*r. Find the second derivative of -60*l**3 + 5482 - 15*l - o wrt l.\nAnswer: -360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.238449 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h + 2. Let w = 1 - -1. Let z be q(w). Let s be 0 + 2 + z\/(-15). Which is the second biggest value? (a) -0.5 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142462 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 100243\nAnswer: 2\/100243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 11:50 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/1890 and -49\/60.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -20*l**2 + 15*l + 35 = 0.\nAnswer: -1, 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1822*z**3 - 74*z**2 + 13*z + 69. Let g(t) = -606*t**3 + 25*t**2 - 4*t - 23. Let i(u) = 13*g(u) + 4*r(u). Find the third derivative of i(b) wrt b.\nAnswer: -3540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -7. List the prime factors of (-2)\/1 + d - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {l: 2, r: 6, p: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 + -3?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -502253051 - -41.097.\nAnswer: -502253009.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 476540 and 157880.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -1602 - 3424. List the prime factors of q.\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 13*u**2\/2 + u - 2. Let k be g(1). Let t = 3 - 1. What is the highest common factor of t and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 1. Let m be n(-1). Which is the biggest value? (a) m (b) -0.078 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5 = 0, x + 0*x - 3*y - 18 = 0. Suppose k - z - 7 = 17, 40 = k + x*z. Suppose k*h - 25 = 23*h. Solve -3*t + 0*t - 8 = h*f, -3*f = -2*t + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16.7 and 1.\nAnswer: -16.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206 - -520. Let o = c - 313. Which is greater: 30\/19 or o?\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -520 in 0, 143, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 4*k**4\/5 - 13808*k**3\/5 + 6880768*k**2\/5 = 0.\nAnswer: 0, 604, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 1 + 0*k**3 + 1 + 10*k**2 + 10*k + 13. Let v be z(-9). Suppose -2*a - h = -4*a + 144, 16 = v*h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000133 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 36*c - 11 = 39*c, -3*q - c = -11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**5\/40 - x**4\/6 - 31*x**3\/3 - 4*x - 2. Let g(a) be the second derivative of k(a). What is g(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 55 = 43 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 965*a**3 - 2085. Let p(n) = -482*n**3 + 1043. Let y(d) = -6*k(d) - 13*p(d). What is the derivative of y(c) wrt c?\nAnswer: 1428*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31400.963 - -37293.\nAnswer: 68693.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -7\/3 (b) -3 (c) -7 (d) -1 (e) -1\/6 (f) -39 (g) -43\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -11. Let p = 18 - 18.165. Let a = 0.065 + p. Put 3\/7, a, i in decreasing order.\nAnswer: 3\/7, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 - s + 1. Let l be k(1). Solve -2*n + r + r + 2 = 0, l*n + 5*r - 22 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*o + 20 - 7, -4*o = 5*t + 3. Let b = t - -1. Suppose -2*h - b*z + 0*z + 366 = 0, 0 = 4*h - 2*z - 744. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**4\/4 + 13*m**3\/3 + m**2\/2 - 9*m + 2. Let v be n(13). Solve v*b + 0*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17800, 17771, 17742, 17713, 17684?\n\"Answer: -29*i + 17829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 15*t**2 + t + 4. Let n(k) = -29*k**2 - k - 7. Let i(b) = -5*a(b) - 3*n(b). What are the prime factors of i(2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -964*l**4 + 959*l**4 + 23*l**2 + 15*l**3 - 3*l**2.\nAnswer: -5*l**2*(l - 4)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -5 + 0*q - 2\/5*q**5 - 2\/9*q**3 + 0*q**2 - 1\/2*q**4 - 1\/9*q**6. Determine m, given that n(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 + 4*k. Let z be w(-3). Suppose -q - z = -19. Let r = q + 46. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 37.9999988. What is f rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 104813862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 104 = 2*q - 184, -4*q - 3*y - 5 = -0*q + 66 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 2 - 24*p**2 - 53*p**2)*(-p + 0*p + 2*p).\nAnswer: -73*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 11*d + 34. Calculate the remainder when 37 is divided by o(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-4))\/((-2)\/(-16)). Let s = 4 - z. Let b be ((2 - 1) + s)*-3. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -118 from 0.14849.\nAnswer: 118.14849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 27*o = 0. Calculate o.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 25*k**2 - 7*k + 22 + k - 44.\nAnswer: 25*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 47*h - 1. Let s be f(1). Suppose -s*p = -55*p + 252. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 5. Let l = 5 + -5. Let z be 0*(l - 4\/12). What is b(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.4, -52 in ascending order.\nAnswer: -52, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204053 (base 9) in base 2?\nAnswer: -10011111010011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 330 + -329. Solve -5*y + a = z + 6, 2*y = -a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.15657.\nAnswer: -0.31314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-3) - 0)\/1. Let b(o) = -o - 4. Let h be b(v). Suppose 0 = 5*i - 5*x - 15, -x = h*i - 6*i + 12. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -40. What is the second derivative of -20 - 14*r - 53*r**2 + 15*r + d + 56 wrt r?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143)\/(-13)*((-2)\/8)\/(374\/(-136)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*n = -20*n + 3380 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3079 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008952595 to seven decimal places.\nAnswer: 0.0000895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 98 - (24 + -8 + -3 + 3)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 - 891\/7. Let p = 3.664 + -4.064. What is the closest to 0 in -0.3, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**7\/105 - x**5\/15 + x**3\/3 - 2*x**2. Factor j(i).\nAnswer: 2*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - (-17 + -4)) + 8 + -7 + 26?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/12 - 4*n**3\/3 - 4*n**2 + 5*n. Let d be v(-6). What is the highest common divisor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*m + 136*m + 1 + 2*m**3 + 6*m**2 + 5*m**2.\nAnswer: 2*m**3 + 11*m**2 + 293*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5549 + 5621 + (-2 - -5 - (0 - -13))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 198500 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5 = -3*w, 12 = 5*w + 37. Suppose -p*h + 2*q - 24 = 0, -4*h + 3*q - 22 = 31. Let u = h - -18. What is the greatest common divisor of 11 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234454 - 3280815\/14. Let y = 219\/2 - h. What is the nearest to 4 in 1, -0.3, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 145*c*f - 37*c + 4 wrt f.\nAnswer: 145*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 564.6675\nAnswer: 225.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - -2021454?\nAnswer: 2021405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 489211302 to the power of 1\/2, to the nearest integer?\nAnswer: 22118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)*2*1*6)\/(sqrt(1188)\/sqrt(11)*4)*2.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-636)\/530)\/(6\/(-10)*(-2)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 997 by 5.\nAnswer: 997\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4 (b) -4\/3 (c) -363 (d) 5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -66*p - 132. Calculate r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -50970?\nAnswer: 50974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5958 and 63.\nAnswer: 41706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9543666, -9543591, -9543516, -9543441, -9543366, -9543291?\nAnswer: -9543216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -90. Let g be ((-115)\/(-30) - 4)*9\/6. Which is the closest to 1? (a) g (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76.4 + 0.18499886478.\nAnswer: -76.21500113522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 u, and 2 d when four letters picked without replacement from fuddfu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 44. What is the nearest to 0.2 in -2\/3, u, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79258 divided by 78?\nAnswer: 39629\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11130781?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8311373?\nAnswer: 7, 1187339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 86477106692*v - 7*v**3 + 2*v**2 - 2*v**3 - 2*v**2 - 86477106692*v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 1140, 2550, 4508, 7014?\nAnswer: 10068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1297*q + 5 = 1296*q - f, 4*f - 40 = 16*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79840, 638657, 2155438, 5109163, 9978812?\nAnswer: 17243365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3 (b) -0.1 (c) 0.1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0)*6\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22555240 to the nearest ten thousand.\nAnswer: 22560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-1*(-9)\/(-6)). Suppose -z*b + 4*b = -384. Is (b - 5)*(-1 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1862803 or -1?\nAnswer: -2\/1862803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 13237422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p + 4. Let m(b) be the third derivative of 5*b**4\/24 - b**3\/2 - 1045*b**2. Determine -5*m(j) - 4*u(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p - 20. What is the second derivative of -9*k + 5*k**3 - 4*k**3 + p*k**3 - 2*k wrt k?\nAnswer: 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849243371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**3 + 2884*b**2 + 82296*b - 2252160 = 0. Calculate b.\nAnswer: -690, -48, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 >= 1033\/195408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - (-2 - -2))*55?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(84\/18)\/(-14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -222\/5? (a) 18275 (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1437 and 5529.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqqv when four letters picked without replacement from vqvvqqv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -55, -35, 3, 65?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76778 and 42.\nAnswer: 1612338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 479*2 - (-5 - -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346162 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193821145*l**2 - 22 + 22 - 193821136*l**2.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1087, 1082, 1079, 1084, 1103, 1142, 1207, 1304?\nAnswer: 1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**11)**(-2\/11)*(x**(-13))**32)**(2\/33) assuming x is positive.\nAnswer: x**(-9200\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -194, 2, -3, 3 in increasing order.\nAnswer: -194, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 6355?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 1:44 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 1 d when three letters picked without replacement from oodoiodddiiodi?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 28 + 17. Suppose -50700 = s*t - 2*t. Round t to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -5, -28 in descending order.\nAnswer: 6, 0, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1331, -3, 4, -1, -144, 3, 5 in increasing order.\nAnswer: -1331, -144, -3, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 160*z**2 - 333*z + 243. Is w(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(105\/6) - (-1462)\/(-5). Let m = p + 4382\/15. Let -m*a**3 - 4\/15*a**2 + 0*a + 0 = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/32 and 41\/448?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**5 + 4338691*i**4 - i**3 - 17*i**2 + 309580 wrt i?\nAnswer: 60*i**2 + 104128584*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -12023?\nAnswer: -11432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*h + h + 2*y + 4, 10*y + 18 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1259 from -5339758150.\nAnswer: -5339756891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -41943 (b) -16\/33 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 17*l - 2. Let u be z(10). Let p = 112 - u. Suppose -t - 21 + p = 0. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h + 15*h + 1683 = 17*h + 21*h for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**2 + 42 + y**3 - 42 - 3*y as v + l*y**3 + p*y + r*y**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4 - ((-10)\/15*6 - (-12 - -10084))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207605, -207602, -207597, -207590?\nAnswer: -207581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*(-24 + (-4810)\/(-182)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3339695560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 5*g**2 - 4*g - 1. Let w be y(-5). Let j = 6 + -3. Suppose j*m = 62 + w. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 11. Let o(m) = -m**2 + 2*m + 2. Let j be o(0). Let s(a) = -10. What is j*f(d) + 3*s(d)?\nAnswer: -2*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43 and 40\/158357.\nAnswer: 158357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acy when three letters picked without replacement from {a: 1, y: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -117302211.1 to the nearest one thousand.\nAnswer: -117302000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 0*f - 3*f. Let i(c) = -86*c**2 + 64*c + 16. Let z(m) = -28*m**2 + 20*m + 5. Let g(v) = 5*i(v) - 16*z(v). Determine g(o(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5918 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 19404?\nAnswer: 446292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:41 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 10*h**2 + h - 2. Let m be d(5). Solve m*n + 4 - 7 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4741 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 3*f + 10. Let d be y(5). Suppose 7*g - 84 = -d*g. What is the smallest common multiple of 30 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.63 to the nearest integer.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 13, a: 1}. Give prob of picking 2 v, 1 a, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 518346828*k**3*y**3 + k**3 + 2*k**2*y**2 - 91574812*y**2 wrt y.\nAnswer: 3110080968*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*y**3 - y**2 - 3*y**4 - 1 + 0*y**2 - y**2 - 24*y**3 - 2*y to the form d*y**2 + i*y + n*y**4 + z*y**3 + s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 6 = -0*o. Is -1\/8 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-236)\/56 - -8)\/2 + 7\/(-4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 521.7324 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5336.2 and 78245.\nAnswer: 72908.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o + 5*v, v + 7 = 4*o - 3*o. Suppose -2*b - 28 = o. Let j = 21 + b. Solve 3*u = c - 5, 0 = 3*u - j*c + 6 + 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*j + 5, 0*i = -2*j + 2*i + 6. Suppose h = j, 4*s + 9*h - 49 = 4*h. Calculate the smallest common multiple of s and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2*(-1 + -2)*1. Solve z = d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 26703687*d**3 + d - 26703958*d**3 + d.\nAnswer: -271*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**6\/30 + 304*s**5 + 1155200*s**4 + 7023616000*s**3\/3 + 9840*s**2. Suppose u(g) = 0. Calculate g.\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -5 - ((-7 - -1) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/(-294))\/(7\/(-2940)*7)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/8)\/((-3056)\/128 + 24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 2*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 4. Let a(u) = 5*u - 11. Let l(v) = 4*a(v) + 11*f(v). Suppose 10*y - 7*y = 10*y - 21. Let m(w) = 2*w. Give y*l(b) + 2*m(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23939 - 15205. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**3 - 6*y**2 + 3*y + 6. Let m(a) = a**3 + a**2 + a. Let q be (-19)\/114 + 5\/(-6). Let f(l) = q*w(l) - 6*m(l). Factor f(z).\nAnswer: 3*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1278, 5125, 11536, 20511, 32050, 46153?\nAnswer: 62820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l**2 + 46*l + 65. Let z(i) = -12*i**2 + 93*i + 130. Let v(t) = -5*a(t) + 2*z(t). Is v(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 3)*(8*w - 4*w + 9*w)*(8*w**2 + 0*w**2 + 0*w**2) to d + z*w**2 + k*w + i*w**3 and give i.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*i - 5, -3*r + 17*i - 20*i = -15. What is the nearest to r in -102, -2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5088 + 2414*i**3 - 5088.\nAnswer: 2414*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + 1333122?\nAnswer: 1333223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1418423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 18. Let j = h + -3. Suppose -514 = -j*s - 157. What is the highest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 177*y**2 + 128*y + 8445. Let d be i(176). Let b(f) = -f**3 + 6*f**2 - 2*f + 1. Let z be b(6). Put -4, z, d in descending order.\nAnswer: d, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 0, 1, -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/120 - 13*j**5\/60 + 13*j**4\/24 - 11*j**3\/6 - 10*j**2. Let i be p(12). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*c + c = -4, -5*c = j + 5. Suppose j = -5*k + 24 + 6. Calculate the greatest common factor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1213, -5016, -11413, -20404, -31989, -46168, -62941?\nAnswer: -82308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -w + 1099, -3*w - 1087 = -2*s - 0*w. What is the greatest common divisor of 685 and s?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 8. Let c = 54.7 + -47. Let o = c + a. What is the second biggest value in o, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167\/(-835)*1\/(-4)*-2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24635333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and -0.2?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -38 - (659 + -532)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from ffssfeffeefeeeef?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -18. Let g(c) = -27*c - 6. Let x be g(-6). Let u = x + -627\/4. What is the closest to -1 in q, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 99*v + 3*v)*(1 - 2*v - 1) - v**2 - v**2 + 3*v**2.\nAnswer: -213*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*x - 12 = 0, 0 = 2*q + 2*q + x + 12. Let n be (q - 0) + (-10)\/(-3). Let i = 28.2 - 28. Which is the nearest to -1? (a) -2\/15 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29349\/37583 + 2\/2891. Let v = z - -12\/13. What is the second smallest value in 0.5, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 19. Let s be (n\/(-10))\/(4\/(-10)). Is (-1 - -3)*7\/s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -34. What is the nearest to 2\/3 in q, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 17 = 6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345726460 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11.8 times 5\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 678, 3047, 7586, 14775, 25094, 39023, 57042?\n\"Answer: 80*i**3 + 605*i**2 - 6*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 19*z + 374 = 0. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 12) to base 16.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21916.25297 rounded to zero dps?\nAnswer: -21916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2795 less than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -1405830.\nAnswer: 43\/1405830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - c**3 - 6*c**3 - 4 - 2.\nAnswer: -7*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29486787149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a gram in milligrams?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7424 - 550.3824. Let s = 551 + h. Which is bigger: s or -2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 108336*k**2 + 6510960*k - 97718400.\nAnswer: -4*(k - 30)**2*(k + 27144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 2254654?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h + 22. Let s(z) = -6*z - 21. Give -4*n(k) - 3*s(k).\nAnswer: -6*k - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 87351.9 tonnes in grams?\nAnswer: 87351900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39595117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 16*k - 60. Let g be m(9). Suppose -37870000 = -g*f + 10*f. What is f rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -824*h - 3384. Calculate a(-3).\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, f: 2, z: 1, x: 1, e: 4}. What is prob of picking 1 x and 1 r?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6)*5409\/14424*-21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*f**2*h*m**3 - 11*f**2*m**3 + f**2 + 2*h + m**2 wrt m?\nAnswer: -108*f**2*h - 66*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 5 (c) 9 (d) -0.2 (e) -958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -8 (b) 19 (c) -3\/8 (d) 0.4 (e) -5 (f) -58 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 834571?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*k + 13. Let i be ((-3)\/6)\/((-1)\/k). Let m = i - -14. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/201360 and -169\/100680.\nAnswer: 201360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-12)*t)\/t*t*t*t**(11\/3)*t)**(-22\/7) assuming t is positive.\nAnswer: t**(352\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86806 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/684 and -151\/166698.\nAnswer: 6334524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1607, -3215, -4823, -6431?\nAnswer: -8039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 + 3*p**2 - 5*p + 2. Let x be a(2). Let b = 7 - x. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/350 - m**6\/200 + m**5\/100 + m**4\/40 - 2*m**2 + 3*m. Let u(j) be the first derivative of o(j). Solve u(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1.276, 0.1, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 + 8*f**3 - 168 + 167.\nAnswer: 5*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -30*i + 2. Let l be v(-3). Let o = l + -179\/2. Suppose 0 = -83*m - 209 - 123. Which is the closest to -2\/7? (a) m (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -31*i - 280. Let v be o(-9). Let w(d) be the second derivative of 13*d**4\/2 + d**3\/2 + d**2 + 2*d. List the prime factors of w(v).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 = 4*r, -5*q + 123*r - 122*r = -55. Suppose -4*m - 4*p + 69 = -9*p, -2*m = -4*p - 42. Do m and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 25, u = 4*c + c - 20. Solve c*p - 2 + 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -9*x. Let k(u) be the third derivative of u**4\/8 - 8*u**2 - 7*u. Let f(r) = 5*k(r) + 2*w(r). Let c(z) = -3 - 1 + 6*z**2 + 4. Determine c(f(i)).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04590212999074 from -0.1.\nAnswer: -0.05409787000926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(2 + sqrt(1331)) + sqrt(1331) + 4*sqrt(1331)*3))**2.\nAnswer: -57024*sqrt(11) + 3883500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 955176.\nAnswer: 3820704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.79316kg in nanograms?\nAnswer: 25793160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7750 - 216?\nAnswer: 7536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3300, -3320, -3340, -3360?\n\"Answer: -20*m - 3280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13704439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4146 + -2046. What are the prime factors of b?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 538578 and 5166?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/16*(-115)\/(16675\/58).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a + 2964 + 1357 = -64*a for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.36491 - 0.14431. Round s to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4883 and 6859?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.979 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = -436*k + 432*k + 53, 2*k - 14 = -2*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21498 and 4.809.\nAnswer: -103383.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2. Let j(a) = a - 1. Let s(u) = -6*u + 5. Let l be 3*-3*2\/9. Let y(i) = l*s(i) - 10*j(i). Give y(k(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 + t + 1. Let y(c) = 9 - c**3 - c + 0 + 2*c - 8. Let h(g) = g + 10. Let f be h(-11). Give f*y(p) + z(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00425026 rounded to four decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 495, 718, 931?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41722344 and 46928.\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55789, -55823, -55871, -55939, -56033?\n\"Answer: -i**3 - i**2 - 24*i - 55763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 83886 + 83886.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -449 + 448.6. Let o = 12 - 18. Sort p, 1, o, 5.\nAnswer: o, p, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6012409127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3920 - -1114. Let f = m - -36480\/13. Solve -f*c**3 + 12\/13*c**2 - 24\/13*c + 16\/13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 24 = -2*j, -65*c - 3 = -66*c + j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 135\/2 (b) -12 (c) -2\/327 (d) 9 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l + 29*l**2 + 261 - 261 - 4*l in the form r*l**2 + c + y*l and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179702 by 38.\nAnswer: -4729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/2 + 319*l**2\/6 + 8533*l\/6 + 2809\/6 = 0.\nAnswer: -53, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-20) + 3)*(1 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/1170)\/(((-11680)\/(-192))\/73).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4837, 4815, 4793?\n\"Answer: -22*z + 4859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5886*d - 389166 = -2380*d for d.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, 0.02, 8, 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**3 + 472*l**2 - 9075*l - 178596 = 0. What is l?\nAnswer: -12, 33, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-30 + -5 + 73 + -30)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/12))**(20\/3)*(u**30)**35)**14 assuming u is positive.\nAnswer: u**(133070\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1465*n**3 + 731*n**3 + 648*n**3.\nAnswer: -86*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6294 - -1.65. What is p rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*n + 5*n - 5*n)*(-4 - 3 + 6) - 2*n + 0 + 0 + (-3*n + n + n)*(1 + 1 - 3))*(-12 + 3 + 5)*(-31 + 86 - 31).\nAnswer: 288*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 + 42*r + 96 = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 33*p**2 - 16*p + 16. Let n be l(1). Suppose -4*b + 27 = -n. What is the remainder when 174 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60201 or -60242?\nAnswer: -60242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-one halves of a week?\nAnswer: 4284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 5*i**3 - 21*i - 3*i - 12*i**2.\nAnswer: -5*i**3 - i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10632649?\nAnswer: 10632649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 + 43340*f - 520656 = 0 for f.\nAnswer: -10847, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-2\/5))\/a**(-7))\/(a**(-1\/8)\/a**4))**(-2\/19) assuming a is positive.\nAnswer: a**(-541\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/21 - 8*d\/21 - 2.\nAnswer: 2*(d - 7)*(d + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 173. Find the common denominator of (y\/2)\/(-3 - 18\/(-12)) and 19\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -23. Solve x*l - 6 = 3*d, 5*l = 2*d - 0 - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14623 - 26381. Round l to the nearest 100.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19911.\nAnswer: 3, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(2\/21). Let h(u) = 17*u + 7. Let r(b) = -60788*b + 182392*b + 5 - 60799*b - 60794*b. Determine z*r(a) - 5*h(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/41067477 and -73\/1017.\nAnswer: 41067477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34918.\nAnswer: 2, 13, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h + 1110 = 38*h. List the prime factors of h.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z + 35. Let w be y(10). Let k = w + 140. Suppose 19*j - k*j - 28 = 0. Solve -4*f - g - 14 = -0*g, 4*f + 16 = -j*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -777 - 737. Suppose 25*n + 5*a - 187 = 24*n, 0 = -n + 2*a + 187. Suppose 3*d = -n + k. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxaramrxrah. Give prob of sequence am.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1481.99999277 + 1482. What is u rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 356.747 - 386.78. Let q = y - -0.033. Let i = q + 27. What is the third smallest value in i, 2\/5, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/10 + (-2772)\/(-20). Let n = w + 291. Let f = n + -272. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/5)\/(3\/50). Suppose 6 = 2*i + 2*k - 20, -4*k = -r. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 12, 0*y + 84 = 3*y - 3*q. Suppose -26*c + 25*c = 2*m - 56, c - m = 50. Calculate the lowest common multiple of y and c.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/32619 and -11\/4?\nAnswer: 130476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -48586 (c) -0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -410\/1511811 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 312.5676 milligrams?\nAnswer: 312567.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*a + 6 = 131*a. Is (49\/98)\/(a\/14114) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqjw when four letters picked without replacement from {o: 3, w: 1, q: 5, v: 3, j: 2, r: 6}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(48) + sqrt(432)*-2 + sqrt(48))*2 - ((((-1*sqrt(336))\/sqrt(7))**2 - sqrt(48)) + 3 + sqrt(48)*1 + sqrt(48))) + -3.\nAnswer: -216*sqrt(3) - 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8789 - -8786. Which is the third biggest value? (a) -65\/3 (b) -1 (c) -0.2 (d) 5 (e) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a centimeter in millimeters?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2419955 is divided by 806645?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -479 - -583. Suppose -b*q + 235 = -103*q. Calculate the greatest common factor of 15 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 6*n**4 - 39*n**3 + 30*n**2.\nAnswer: 3*n**2*(n - 2)*(n - 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 85*i**2 + 201*i - 187. Let p be r(-3). Let n be ((-15)\/20)\/((-15)\/8). Solve 0*d**p - 3\/5*d**4 - 1\/5*d**5 + 0*d + 0 - n*d**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 298.84 - 307. Let f = -8.1141 - n. What is f rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*h - 24 + 24 in the form a + f*h and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23470?\nAnswer: 2, 5, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqmvqqdvmvvqvmmq. Give prob of picking 2 q.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 472, 461?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60414622847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**3 - 7*j**2 - 8*j + 6. Let g(m) = m**3 - m**2 - m + 1. Let w(a) = -4 + 2*a - 7*a - a**3 + a**2 + 5*a + 7*a. Let i be w(3). Give i*h(p) + 6*g(p).\nAnswer: -2*p**3 + p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 + (-72)\/27*3. What is the thousands digit of 20\/w*326*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 2*r**5\/5 - 43*r**4\/4 - 71*r**2\/2 - 7. Find the second derivative of u(l) wrt l.\nAnswer: 24*l**2 - 258*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.89004 days to nanoseconds.\nAnswer: 5001699456000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293256591 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 23 - ((-1 - -6) + (0 - 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 7*z - 75. Differentiate -11*i - 7*i + 0*i - 12*i + z with respect to i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*t**2 + 2186 - 2186 + (-10 - 19 + 15)*(-3*t**2 + 2*t**2 + 2*t**2) in the form h*t + i + z*t**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -449401, -446221, -443031, -439825, -436597?\n\"Answer: o**3 - o**2 + 3176*o - 452577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 120078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10874409 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 + 44\/36. Suppose -2*a + 3*m = -3 - 7, m = 5*a + q. Is -1 - -59 - (0 + a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035499275594913 - 16.\nAnswer: -15.964500724405087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14883 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38844 - 24508. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 17*x = 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63635489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404290665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 36\/((-658008)\/(-26))*37\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1025999*c**4 + 353306 wrt c?\nAnswer: -4103996*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*t - 18*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 9. Let i be z(-7). Suppose 2*o + m = 17, i*m + 0*m = 2*o - 35. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**2 - 21*k**2 + 836*k**3.\nAnswer: 836*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 22962051.\nAnswer: 22962056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28649, 28497, 28345, 28193, 28041?\nAnswer: 27889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21974 or 21931?\nAnswer: 21931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 359093 and 559517.\nAnswer: 24059231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7.4 (b) -0.5 (c) -0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in 957, -6, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q. Let z(p) be the third derivative of -19*p**5\/60 - 3*p**2 - 12*p. What is z(m(v))?\nAnswer: -304*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-495)*11 - 4*(-2)\/(-8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 353.29 to 0 dps.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-6 + -17 + 20 - -87)) + -2 + 1?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880b6 (base 15) in base 12?\nAnswer: 7a1009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 3 + 0)\/(-1). Let g be 2\/o + 16\/6. Let p = 11 + -9. Solve -p = -4*b + g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/105 and 17\/300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281585, 281595, 281605, 281615, 281625?\nAnswer: 281635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 8*v**2 + 24*v - 15. Determine l(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*w**2 - 2 + (-2 + 3 - 2)*(1 - 2 - 1)*(2*w**2 - 4*w**2 + 3*w**2) in the form c*w**2 + p*w + h and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77052 - 258526 = 160*i + 2767*i for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(110) + -1*sqrt(110)*6 + sqrt(110))\/(2*sqrt(10)*3).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**7\/105 + x**5\/50 + 3*x - 3. Let z(c) be the first derivative of a(c). Factor z(d).\nAnswer: -2*d**3*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3069, -9092, -15113, -21132?\n\"Answer: u**2 - 6026*u + 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 5*a - 4, 4*a = -2*y + 24. Let f(q) = q**2 - q - 9. What is the units digit of f(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2164, -2246, -2380, -2566, -2804?\nAnswer: -3094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/60 + 5*t**4\/12 + 7*t**2. Let a be f(-12). Find the common denominator of (-8)\/(-6)*11\/a and 109\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1795 - 1797 = 5*u, -4*q = -4*u - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 3, -1, 1, -3, -63936 in ascending order.\nAnswer: -63936, -36, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s - 242. Let z be o(5). Let k = 288 - z. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -11. Let s = 0.24 - -7.46. Let m = d - s. What is the biggest value in -0.5, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - 0. Which is smaller: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -381 + 380.6. Sort -0.3, 1\/59, j, -1\/4, -12 in descending order.\nAnswer: 1\/59, -1\/4, -0.3, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 110*k - 7. Let q(s) = -63*s + 4. Let l(y) = 4*o(y) + 7*q(y). Let z(d) = 589*d**2 - 8. Determine z(l(a)).\nAnswer: 589*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.042731 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybcdsyyyysdbcsysyyys. What is prob of sequence dy?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342948 by 6.\nAnswer: 57158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*-1*sqrt(132) + sqrt(132))\/(2*-2*sqrt(12)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6 + 16*x**2 + 2 - 20*x**2 - 2 - 2*x**2 - 4*x. Let f(n) = 7*n**2 + 3*n + 6. Let w = 11 + -16. Let l(a) = w*q(a) - 4*f(a). What is g in l(g) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -32. Suppose r + 2*x = 135, -4*r - 171 + 711 = -2*x. What is the greatest common factor of r and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110784 is divided by 110748.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3420 - -3436. Calculate the remainder when 794 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 18. Suppose 5*o - 138 = c, 7*c + 20 = o + 3*c. Suppose -229 = 40*w + 91. Let b be 7\/o - (1 + (-90)\/w). Determine n(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:47 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:32 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 11. Let p(g) = g**3 - 4*g**2 - 6*g + 7. Let j be p(o). Factor -3*l - 24 + 2*l**j + 23*l - 4*l**2 + 6*l**2.\nAnswer: 4*(l - 1)*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -45. Suppose -4*o + 8 = l, 4*j + o + 8 = -j. What is the third biggest value in j, 0, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/12, -0.04, -0.02, -0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -76*m + 749. What is i(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -67.57 from 42.\nAnswer: 109.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 2*k - 26. What is g(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - c**2 + 2*c + 5. Let r(q) = 3*q**3 + 2*q**2 - 4*q - 11. Let d(w) = 5*j(w) + 2*r(w). What is d(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6718 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86412, 345626, 777638, 1382448?\nAnswer: 2160056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**(-3\/8))**(8\/3)\/((((v*v\/v**(1\/4))\/v)\/v)**(-18)\/(v**(-1))**(-5)) assuming v is positive.\nAnswer: v**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1657854, -3315708, -4973562, -6631416, -8289270, -9947124?\nAnswer: -11604978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 165.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 2\/(-2 + 264\/129). Suppose 44 - o = t. Solve 0 + 0*j + 3\/4*j**2 + 3\/4*j**t + 3\/2*j**3 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -16*z**2 + 44*z + 9. Calculate x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 326000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/24 - h**3\/6 + 7*h**2. Let g(m) = -2*m - 4*m + 0*m + 12*m - 3 - 2. Determine g(x) - 5*n(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2)*-5) - (5 + sqrt(2) + -5)**2.\nAnswer: -2 - sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-90))\/(2422\/(-6228)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4142, 8293, 12448, 16607, 20770, 24937?\nAnswer: 29108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t = 52*t - 4464. What is the greatest common factor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - 2.3. Let t = -4 - u. Let j = 74 - 69. What is the third smallest value in j, 0, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 1.31 in decreasing order.\nAnswer: 1.31, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 407.6 (c) 2\/13 (d) -0.4 (e) -1 (f) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -30*g**2 - 120*g. Let z(w) = -78*w**2 - 362*w. Give 8*i(v) - 3*z(v).\nAnswer: -6*v**2 + 126*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2 + u**3 - u + u**2 - 6 + 4*u**2 + 0*u**3. Suppose 3*b + 0*b = 2*s - 19, s = 2. Let c be g(b). Calculate the greatest common factor of 8 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10924654451 and 22026?\nAnswer: 10924676477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26970, 53952, 80920, 107868, 134790?\nAnswer: 161680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 2687688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-6)\/10*18\/54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 181695 and 28?\nAnswer: 5087460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = b - 2*b. Let p = 4 - b. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 347.8 + -284.78. Let s = 61 - h. Round s to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/27, -89, -3053, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 10:14 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 1306233.\nAnswer: 14\/435411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 - k**3 - 2072*k**2 + 1948*k**2 - 2 to o*k**2 + p*k**3 + y + f*k and give o.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7689 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98 - 98 + 41 + 3*i to y + k*i and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-235)\/(-235) - (22\/2 - 0). Sort 2, -5, -9, q in decreasing order.\nAnswer: 2, -5, -9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -119 in increasing order.\nAnswer: -119, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168637 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19526 and 1203102?\nAnswer: 15640326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/(j*j\/(j*j**(2\/21)\/j*j)))**(-10\/11)\/(((j*j**(-2\/9))\/j)**(-4))**50 assuming j is positive.\nAnswer: j**(-35270\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xla when three letters picked without replacement from xalllxlzb?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2194692, 2194691, 2194700, 2194725, 2194772, 2194847, 2194956?\n\"Answer: i**3 - i**2 - 5*i + 2194697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103474542 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: Express (0 + 0 - 1)*(-z - 1 + 1) - 67 - 66 - 13*z + 132 in the form v*z + d and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 + 2 + 571*q**2 + 0*q**3 - 2 - 2*q**4 - 10*q - 576*q**2 to u*q**2 + c*q + y*q**4 + f*q**3 + n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 l when three letters picked without replacement from llddddddddd.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/82 (b) -0.5 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200\/18811 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:51 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*v + 9. Suppose -y - n + 1 + v = 0, y - 5*n - 1 = 0. Let t(r) = r - 3. Determine t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + -6 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/7 - 4*q**3 + 634*q**2\/7 + 300*q = 0. What is q?\nAnswer: -25, -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 2. Let g be a(2). Let b(d) = d + d + g*d. Let z(y) = -2233*y**2 - 55. Let m(v) = -81*v**2 - 2. Let l(i) = -110*m(i) + 4*z(i). What is l(b(p))?\nAnswer: -88*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 9cd9921?\nAnswer: -9cd9923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003318 take away 890963?\nAnswer: -890962.996682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 527*c + 528. Let y(x) = -9*x**2 + 4216*x - 4224. Let b(s) = 51*g(s) + 6*y(s). Factor b(h).\nAnswer: -3*(h - 1)*(h + 528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3 + 3*f - 5 + 4 - 9 - f**2. Let g be (8\/4 - 1) + 4. Determine x(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + -67. Let s be (4\/12)\/(1\/h). What is the units digit of (s\/14)\/(1\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5752, -11527, -17302?\n\"Answer: -5775*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -48. What is the closest to -2\/3 in 0.3, n, -15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/(-252)*-2*6\/5. Let i = 2 + -2.1. Which is the closest to i? (a) -1 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(441))\/sqrt(7) - sqrt(63)*2*2)\/(-2*sqrt(900)).\nAnswer: 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 68. Which is the nearest to 0? (a) 2\/3 (b) 17 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97484 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffnf when four letters picked without replacement from {n: 2, f: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56997 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 10*l + 1. Determine w(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -47*o**4\/12 + 5*o**3\/6 - 36*o**2. What is the hundreds digit of a(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -821*c*x**2 + c - 31*x wrt x.\nAnswer: -1642*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-6)*4\/(-3). Let v(q) = -6*q - 3. What is the remainder when v(b) is divided by 2\/(-7) - 37\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 23, 6, -29, -88, -177?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + u)*(1 - 1 - 2) + (2 - 2 - 2)*(-u - u - u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4300000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + sqrt(320) + 0 + sqrt(320) + -2 + 1*sqrt(320)*2 + sqrt(320) + 4)*2)**2.\nAnswer: 768*sqrt(5) + 46096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-15\/8)*c**(-2\/15)*c\/(c*c**5) assuming c is positive.\nAnswer: c**(-391\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 10. Suppose l = -6*l - 28. Let z be g(l). Suppose 5*f = 4*a, 3*f + f = -z*a + 26. Solve 0 = -2*m + f*y + 6, 1 = 5*m - 6*y + 3*y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.153 + -51214431\nAnswer: -51214431.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 1081*z**2 - 1122*z**2 + 7*z - 2.\nAnswer: -41*z**2 + 9*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*a - 248 = 365*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1170215 (base 8) to base 4.\nAnswer: -1033002031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/4 + (9\/2)\/(-9). Solve -4*v - 4*y + 0*y = -16, 0 = u*y - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-35) + 6449\/15211. Let f = a + -110663\/34768. Let q = 5149\/234 - -19\/117. What is the common denominator of q and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 4*d**4 - 3*d**4 + (0*d**3 + 0*d**3 - d**3)*(3 - 2*d - 3) + 7*d + d**4 + 5*d - 3*d.\nAnswer: 4*d**4 + 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 1601 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898*m - 56948 = -925*m + 117*m + 37762 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - -15) + -27.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.0637 (b) 3\/2 (c) -0.03 (d) -3\/4 (e) 3\/4 (f) 1 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12286720 - -40.\nAnswer: -12286680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, -4, -50, 38 in descending order.\nAnswer: 38, -3, -4, -11, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 12*i**2 - 14*i - 24. Determine k(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -351.302 - -351. Let b = v - -0.3161. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2976, 5814, 8668, 11544, 14448, 17386, 20364, 23388?\n\"Answer: h**3 + 2*h**2 + 2825*h + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*j**3 + 28788*g*x + 359*g*y + 2*j**3*x*y + 2*j**2*y - 3*j*x - 1314*x*y + 116*y with respect to g.\nAnswer: 2*j**3 + 28788*x + 359*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5\/9 + 52*x**4\/9 + 539*x**3\/9 - 4810*x**2\/9 = 0. Calculate x.\nAnswer: -10, 0, 37\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6))**(3\/22) assuming d is positive.\nAnswer: d**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*l - 123122 + 123107, 0 = -v - 3*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 18*n. Let l(b) = 14996*b. Give f(l(x)).\nAnswer: 269928*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3390180 equal to -3390182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/6048*4*(-259)\/(-148)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 524\/7 = 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37201718 to the nearest integer?\nAnswer: 6099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004736971 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t**2 + 4*t + 14. Let j be h(6). Suppose c - j*u - 5 = -0*u, 4*c - 3*u - 20 = 0. Suppose -9 = -c*l + 16. Solve 0 = -l*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168675811 rounded to the nearest one million?\nAnswer: 169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-219)\/(-2 + 6\/2). Calculate the common denominator of 133\/372 and w\/(-36) + 2 + -5.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 119\/49 - (-6)\/(-14). Find the third derivative of 0*o**5 - x*o**2 + 4*o**2 + o**5 - 2*o**5 wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 5 (c) -0.11 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 4, n: 2, q: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -445 and 0.2.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0 (c) 1.2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -83603?\nAnswer: 1672.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.287+1149.21291\nAnswer: 1149.49991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 + 286*k**2 + 183*k + 932. What is a(96)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*g + 8*i - 7*i, -6 = 5*g + 3*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 88, 94?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 7. Let h be y(-5). Suppose 3*n = -4*d + 1, -5*n + 4 = -d - h. What is the third derivative of n*r**4 + 4*r**6 - 3*r**4 - 5*r**2 wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66388920*d**5 - 28754588*d**2?\nAnswer: 3983335200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2821.1987209 + 2821.2. Round u to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75189397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -96 + 183 + x - 95. Let f = 7 - -4. Let m be o(f). Solve v + m = -0*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 5 (b) 11 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153545?\nAnswer: 5, 37, 89, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmc when three letters picked without replacement from dgnymgccyggm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12262 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*y**3 + 422*y**3 - 267*y**3 + 4003.\nAnswer: y**3 + 4003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) 1166 (d) 0.84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 2, -3.8 in descending order.\nAnswer: 2, -2\/9, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**2*n**2 + 48*g**2 + 23*g*n**2 - 3*g*n wrt n?\nAnswer: -4*g**2*n + 46*g*n - 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 34*y - 42. What is g(37)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/4))**(-47)*((b*b*b**(-1))\/b)\/b**4)**(1\/9) assuming b is positive.\nAnswer: b**(31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14*q - 3. Let i be g(1). Let j(t) = 2*t + 64. Calculate the least common multiple of (72\/15)\/4*10 and j(i).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17\/20 + 5\/4. Let a(z) be the first derivative of 2*z**2 + 2*z - z**4 - l*z**5 + 0*z**3 - 2. Let a(j) = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/10*(272 + 6). Let x = 136 - p. Let q = -3 - -2. Sort x, 3, q.\nAnswer: x, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 346 = 4*u, -2*u + 535 = -12*f + 15*f. Calculate the remainder when f is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1840*w**2 - 84*w + 2506*w**2 + 1940*w**2 + 90*w + 1368*w**2. Let k be f(6). What is k rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2*sqrt(11)*2 - sqrt(11)) + -4 - -5*(-1*sqrt(22))\/sqrt(2).\nAnswer: -4 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**2 + 3*x**2 + x**2. Suppose -z + 3*z = 4. Let u(d) = 5 - 1 + d**z - 4. Give u(r(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.683 and 663.79171.\nAnswer: 662.10871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12202 + 1102012?\nAnswer: 1012110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*q*t**3 - 41*q + 3504167*t**3 - 129*t**2 + 44*t wrt t.\nAnswer: 30*q + 21025002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213051 * 19.\nAnswer: 4047969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.3 (b) -4 (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -4*l, -l + 3 = -2*r + 5. Let h = r - -1. Solve 0*g + 2*g - 5*a = h, 4*g + a + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let u(v) be the first derivative of 0*v**4 - 1\/3*v**6 + 0*v**p + 1 - v**2 + 0*v + 0*v**5. Find the second derivative of u(t) wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from {g: 10, c: 2, e: 1, d: 1, h: 2, t: 2}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3 + 7*a - a**2 + 5*a**2 - 3*a**2. Let j be m(-9). What is the third derivative of -9*o**2 - 14*o**6 + 0*o**2 + j*o**6 wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12 + 93*t - 1 - 64. Is g(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1595, 6532, 15003, 27206, 43339?\n\"Answer: 33*m**3 + 1569*m**2 - m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0654 - -0.5769. Round c to two dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/100 + -3\/100. What is the closest to z in -2\/13, 3, 3.7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230928668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1\/2))**(-20\/9)*s\/s**6*s*s**(2\/5))\/(s*(s\/((s*s**6*s)\/s))\/s*s\/(s\/(s**(-1)\/s)))**(-2\/9) assuming s is positive.\nAnswer: s**(-392\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 546, 2203, 4962, 8817, 13762, 19791?\n\"Answer: -k**3 + 557*k**2 - 7*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(17)*6 - (sqrt(136)\/(sqrt(8)*1) + sqrt(17) - (1*sqrt(34))\/sqrt(2)))**2.\nAnswer: 40*sqrt(17) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 16\/637, 5, 0.2, 4?\nAnswer: 16\/637","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75\/10 + (-6)\/4. Suppose -4*y + 12 = 2*d, r*d = 3*y + 4*d - 16. Calculate the smallest common multiple of 20 and ((-2)\/4)\/(y\/(-32)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(4\/9)\/g)\/g*g\/g**(2\/5)*(((g**(6\/11)\/g)\/g)\/g*g)\/(g**4\/g))**(-33) assuming g is positive.\nAnswer: g**(1688\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -39. What is the remainder when 27 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 7*w - 8. Suppose -4 + 10 = z. What are the prime factors of t(z)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*b + 12, w - b = 1 + 2. Let f = -58\/215 - -3\/43. What is the closest to 2\/9 in f, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*g**2 - 16*g**2 + 10*g**2.\nAnswer: -58*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 5 + -4 + -5 - (2 + sqrt(363) + 1)*-5)**2.\nAnswer: 1452*sqrt(3) + 13189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2739 - 2*g + g - 2735. Let b(y) be the second derivative of -y**3\/6 + 9*y**2\/2 - y. Calculate -4*b(s) + 9*t(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**3 - 4*v - 9*v**3 + 17*v**3 as q*v**2 + i + t*v**3 + g*v and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - 64. Solve 0 = a*t - 2*j - 4, 2 + 2 = -t + 2*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 243?\nAnswer: 4\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 93407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-21 + 29 + 171*q - 8).\nAnswer: 171*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbssbsssssb. Give prob of sequence ss.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100 (base 3) to base 2.\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**8\/14 - 7*a**4\/12 - a. Find the third derivative of i(s) wrt s.\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 552\/16 + 3\/2. What is the greatest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7)*o**(-3\/8))**(-5) assuming o is positive.\nAnswer: o**(65\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1573\/10787 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4026 and 169\/161040.\nAnswer: 161040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/5 + 92*r**2\/5 - 528*r\/5.\nAnswer: -4*r*(r - 12)*(r - 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(18\/4 - 3). Suppose 6 = -a + p*a. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*l = 66, 3*d = 3*l - l - 38. Is d smaller than -44\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 - 9*w + 5. Let x be u(2). Let o = 2.5 - 2.38. Let p = -0.52 + o. Sort p, -1\/9, x in decreasing order.\nAnswer: x, -1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 162, 198, 234, 270, 306?\n\"Answer: 36*r + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 11) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + (-46)\/115. Let d = -73 + 1386\/19. Which is greater: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 15 = -2*z. Calculate the lowest common multiple of 18 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1788 - 31082?\nAnswer: -28183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 0 = -3*m. Suppose 0 = -13*s - 14*s + 54. Sort -1, s, m, 6 in decreasing order.\nAnswer: 6, m, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 59433.\nAnswer: 14\/59433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2268439e + -1?\nAnswer: -2268439f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 57186*d**3 + 4 - 28556*d**3 + d**2 + 85433*d**3 - 3*d. Let x be c(-4). What is x rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:36 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 327553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 738673, 1477177, 2215681, 2954185, 3692689?\nAnswer: 4431193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2583561 is divided by 3287?\nAnswer: 3266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:35 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -g + 33, 0*g + 59 = 3*g - 2*f. What is the greatest common divisor of 833 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06576668 to three decimal places.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24844.\nAnswer: 2, 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5 + r**3 + r**3 + 2*r**2 - 2*r + 4. Let l be 2\/(4\/(-18))*32\/(-144). What are the prime factors of m(l)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492596?\nAnswer: 2, 13, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*u - 942 - 1424 = 110*u + 1088 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from qgqgqhggqgggq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861573619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17513 - 7003. What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.4, 2, -7, -2, -4\/351, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -778*h**4 - 227 wrt h.\nAnswer: -3112*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - -1.1. Let v = -0.019 - -0.027. Let d = -1.992 - v. Which is the smallest value? (a) d (b) -12 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 10113212003?\nAnswer: -10113212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 - 31. Let h(l) = -5*l - 149. Let g(f) = -7. Let z(s) = -6*g(s) - h(s). Let o be z(-35). What is the highest common factor of u and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 3*o**2 + 1 + 3*o**2 + 7*o**2 to the form l*o + g*o**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) -88\/101 (c) -51 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 6*a - 5. Let z(b) = b**3 + 3*b**2 - 15*b - 29. Let i be z(-5). Determine r(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/4 - (-4)\/1. What is the third biggest value in -2, -1, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1103 - 2*w + 0*w + 2205 - 1102. Let y = 168 + -166. Let k(f) = f. Determine y*n(q) + 5*k(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/408408 and -151\/393822.\nAnswer: 11027016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 q, 1 d, and 1 m when four letters picked without replacement from {s: 4, d: 1, m: 7, q: 1}?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.705 + -4.705. Let z = 46 + -28. Let m = -7 + z. Which is the second smallest value? (a) m (b) -2\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 147*w - 149*w + 4. Suppose w*o + 0*u - 1519 = -3*u, 3*o = -2*u + 2281. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3372\/21918 + (6706\/(-312))\/7 + 3.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(153) - -1*sqrt(153)*-2 - sqrt(153) - (2 + sqrt(153))*-6))**2.\nAnswer: 336*sqrt(17) + 2639","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000269972 rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4) - -3)*2. Suppose -36 = -i*b + 119. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.8758 - -2.96. Let l = 0.065 + d. Round l to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -426 + 466. What is the remainder when (13 - 1)*3\/2 is divided by 6\/(1 + 2) - (-48 + k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (18 - 14) - (1 - -14)) + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*w + 0*w = -15, 0 = 3*h + w - 11. Let s be 0\/(h - (1 + 1)). Find the second derivative of s*y**4 + 0*y**4 - 5*y - 3*y**5 + 2*y wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 29*j**3 - j**2 - j - 1. Determine m(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*g + 531 - 536 = -1571 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i + 15. What is u(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:12 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12180146201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6) - 2147\/2938?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - g**2 + 2*g + 4. What is o(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3730 * 1.7\nAnswer: -6341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 11*x**6\/120 - x**4\/3 - x**3\/6 - 4611*x**2. Let r(u) = u. Calculate -d(v) - 5*r(v).\nAnswer: -11*v**3 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11121*w + 3*w**2 - w**2 + 38*w**3 + 11123*w + (w + 2*w - 2*w)*(-31*w**2 + 13*w**2 + 15*w**2).\nAnswer: 35*w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70814\/9 + 7876. Suppose -3*j = -5*t + 25, 3*t - 2*j = -2*t + 30. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 2587*d**6\/30 - d**4\/12 + 2107*d**2\/2 + 1325*d. Differentiate q(m) with respect to m.\nAnswer: 10348*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (252\/(-441))\/(2\/28)) + 64.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {l: 2, x: 7, r: 1, u: 1, c: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19834 - 19771. Suppose -f + 5*f = 396. Calculate the greatest common factor of h and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-28))\/(-4*2\/(-16))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4, -0.11, 2, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171079 is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 443*f + 4911. Determine x(-11).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3476100 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10709816 by -116.\nAnswer: 92326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 3*d + d to k + n*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 6. Solve -r + 2 = -s*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262 + 262. Let m = 466 - 3267\/7. Does m = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-5)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 9:31 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 k when three letters picked without replacement from dlldkkkljckjljjcjlkd.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adaaasuua. Give prob of picking 1 u and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -14\/11 (c) 10 (d) 0.04 (e) -8877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from heheohoourreeuhee.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:04 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -36, -52, -84, -138, -220, -336, -492?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.11. Let x = i - 0.190041. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161589012 a multiple of 3354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48130 - 433168\/9. Let s = 1.5 - 2. What is the nearest to 0 in 2, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007584746 to four decimal places.\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*k**5 - 223044*k**2 - 310694301*k?\nAnswer: 1020*k**3 - 446088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 604 = 2*o + 2*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2 - 1 - 3*c**2 - 1 - 1. Suppose -1 + 3 = -j, 5*t = 2*j - 21. Let q(s) = -4*s**2 - 1. Calculate t*q(h) + 7*i(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -458\/85, 2, 0.2, 2\/9?\nAnswer: -458\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-302)\/5134 - 62\/(-187)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/16 and 146\/(-60) - ((-30)\/5 - -5).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.28229 months in centuries?\nAnswer: 0.113568575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2041.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173222028 to the nearest integer?\nAnswer: 13161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -781, -5, 18, 1, 3 in ascending order.\nAnswer: -781, -5, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let r(a) = 7*a + 2. Let i(l) = l + 2. Let h(c) = 3*i(c) - 3*r(c). What is h(m(q))?\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3525.789nm?\nAnswer: 0.000000003525789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 103464 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7156*w - 14331*w + 7161*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 0, 1\/4, 0.13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 985355179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-42))\/((-23)\/(-92))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92829820*v - 30943277*v - 30943280*v - 30943288*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-8)*((0 - -1) + 36\/(-18)). Let d(l) be the second derivative of l**4\/6 + 7*l**3\/3 - 8*l**2 - 2*l. Let q be d(f). Solve -6*g + g + 15 = q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20821678?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 + -43. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 + 27*r + 7. Let b be w(-6). Let h(l) = 2*l**2 - 6*l - 4. Calculate the remainder when h(6) is divided by (-240)\/b + -5 + 6\/33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164258 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 8*p + 5*p = 1389, 2*p = 5*c + 2308. Let t = 465 + c. Solve 3*v + r = 8, -t*r - 11 = -4*v + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*j + 76*j - 10. Solve 0*o = -j*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.71? (a) -5 (b) -2 (c) 9 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*a - 39. Let h = 14 - a. Solve b = -h*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60452 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sne when three letters picked without replacement from {e: 2, g: 1, r: 2, n: 1, s: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o**2*v**3 + 1770*o**2*v**2 + 18*o**2 - 16 wrt v.\nAnswer: 3*o**2*v**2 + 3540*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**5 - h**5 + 3*h**5 + (-13*h**3 + 5*h**3 - 4*h**3)*(366 + h - 366 - 52*h**2).\nAnswer: 621*h**5 - 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10614 and 55\/3111?\nAnswer: 180438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*s - 31*s - 206*s)*(2*s**2 + 2*s**2 - s**2) - 1 - 7*s + 2*s**3 + 1.\nAnswer: -532*s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -13) + -18 + -1 + 0 + -26 + 30?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2864, -5612, -8360, -11108?\n\"Answer: -2748*a - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0150175 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 8, o: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -1\/21*r**4 + 0*r**3 - 1\/1176*r**8 + 0 + 2\/35*r**5 + 2\/245*r**7 - 25*r**2 + 0*r - 13\/420*r**6. Factor x(u).\nAnswer: -2*u*(u - 2)**2*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178*i**4 + 403 wrt i.\nAnswer: -712*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/l**(-1\/11)*l)*l*l)\/l)**30)**(-3\/11) assuming l is positive.\nAnswer: l**(1080\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27935?\nAnswer: 5, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 37*w**2 - 15. Let o(r) = -185*r**2 + 75. Let z(y) = 11*f(y) + 2*o(y). Differentiate z(k) wrt k.\nAnswer: 74*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f**2*j**3 + 1486*f**2*j**2 + 1786769*f*j**3 wrt f.\nAnswer: 16*j**3 + 2972*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1937)\/(-182) + -10)\/((-24)\/(-28))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3139, 2828, 2517, 2206, 1895, 1584?\n\"Answer: -311*x + 3450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - n - 4)*(-2*n + 0*n + 0*n)*(-4*n**2 + 5*n**2 - 6*n**2) + 3*n**4 - 5*n**4 + 3*n**4.\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3716752453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 16330 - o - 16330.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbbzbzbzz. What is prob of sequence zb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-eight fifths of a millennium?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*j*m**2 - 88*j*m + 637*j - 861582*m**2 wrt j.\nAnswer: 9*m**2 - 88*m + 637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3674201 minus -3.9?\nAnswer: 3.5325799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -0.105079068429?\nAnswer: 4.894920931571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.3317 to 2 dps.\nAnswer: -57.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60918, -243668, -548252, -974670?\nAnswer: -1522922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let c(s) = 369*s**2 - 64*s**2 + 628*s**2. Give n(c(b)).\nAnswer: -933*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 793*z**2 + 143*z + 143. Let u(f) be the second derivative of 11*f**4\/6 + 2*f**3\/3 + 2*f**2 - 335*f. What is 4*r(o) - 143*u(o)?\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -89. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-15) + (-5)\/(-15). Suppose -9 = -2*r - 4*h + 9, 20 = 5*r + 5*h. Suppose 2*o = o - 5. Put r, 5, z, o in descending order.\nAnswer: 5, z, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idod when four letters picked without replacement from vvddsdvdmivvovivd.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. What is the units digit of 6 + x\/(8 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1312 + 96?\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -190985, 0.1, -0.3, 4, -1?\nAnswer: -190985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = -8. Let z(c) = c**2 - 3*c + 2. What is the remainder when z(s) is divided by (41 + -49)\/((-2)\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 32 (c) -8150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -4. Let q = y + 13. Let r be (4\/9)\/((-4)\/6). Which is the third smallest value? (a) r (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -43*c**5\/2 + 37*c**4\/24 - 5*c**3\/6 + 10*c**2 + 63. Find the second derivative of z(i) wrt i.\nAnswer: -2580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 23*j + 143. Let n be p(11). Let c(q) = -8*q + 0*q + 0*q**2 - 2 - 10*q**2 + q**3. What is the tens digit of c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 35*f**2 + 2884*f - 47779. Determine g(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 225 = -k. Suppose 5*n + 3*a = 13, n + 4*n - 5*a = k. Let g be ((-192)\/40)\/(6\/(-20)). Solve -u + g = -n*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 33 = 2*z, -513925*c - 54 = -513922*c - 5*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 27 = 4*w, 5*w + 4*l = 3*w - 14. Let h = -1 + w. Suppose -h*x = -5*f + 12, -2*f + 24 = 4*x - 0*x. Let z(q) = q**2 - q - 4. What is z(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 739\/7 - 106. Which is the closest to 0.7? (a) t (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*p**2 - 8\/5 + 4\/5*p**3 + 6\/5*p.\nAnswer: 2*(p + 1)*(p + 4)*(2*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -31*u**9\/56 + u**6\/60 - 59*u**5\/60 - u**4\/8 - 7*u**2 + 42*u. What is the third derivative of k(t) wrt t?\nAnswer: -33480*t**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + 127*r - 56. Let v be x(31). Solve -5*z + 3*t = v, 2*z - 7*z - 33 = -2*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/((-16)\/4))\/(-1)*3. Suppose 2*d - 5 = -x + j*d, -5 = 5*d. Is (27\/x)\/((-15)\/(-40)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17649695 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174166 divided by 335?\nAnswer: 174166\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/17 + 900*q\/17 + 11362\/17.\nAnswer: 2*(q + 13)*(q + 437)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.2 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324\/16*132\/73062.\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/3, -41.3978, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Let i(f) = f**c - 4*f**2 + 4*f**2. Let s(h) = 9*h. Calculate i(s(j)).\nAnswer: 81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 28*h**2 - 2*h. Let g(m) = 4*m**2. Give g(w(d)).\nAnswer: 3136*d**4 - 448*d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/6 and -137\/357036.\nAnswer: 357036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.132858 * -0.41\nAnswer: 0.05447178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1814 and -13\/19954?\nAnswer: 19954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**8)\/(b*b**(-2)*b*b)*b\/(b*b*b**(2\/17))*b*b\/(b\/b**(-2))*b assuming b is positive.\nAnswer: b**(-155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 4*i**2 + 2*i - 2. Let z be t(-2). Calculate the common denominator of -19\/6 and (-65)\/2 - (5 + z).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*f**2 + 4*f**2 - 10*f**2 + 18*f**2 in the form g*f**2 + p + c*f and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 25 = 15. Let v(d) = -2*d - 27. Let r be v(m). Which is bigger: -8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.78 - -0.3. Let o = 0.08 + c. Suppose -3 + 2 = -x. What is the third biggest value in o, x, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18\/5, 34, -0.1 in decreasing order.\nAnswer: 34, -0.1, -18\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 20*d**2 - 1. Let o(m) = 123*m**2 + 66*m - 20. What is 6*g(c) - o(c)?\nAnswer: -3*c**2 - 66*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2\/7 - 5046324*t\/7 - 10092632\/7.\nAnswer: -4*(t + 2)*(t + 1261579)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -38216 + -484.99?\nAnswer: -38700.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266986.\nAnswer: 2, 133493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)*l)**(-2\/21)\/(l**(-3)\/(l*l*l*l**(2\/37))) assuming l is positive.\nAnswer: l**(746\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 9*j + 80 = -16 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, g: 1, n: 1, y: 8, w: 5}. What is prob of picking 3 w and 1 d?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2088 and 84688236?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 4. Let y be u(3). Suppose -18*t = -14*t + 32, -16 = 4*x - 0*x + 5*t. Solve y*j - x*j + 4 = 4*q, -j - 11 = 4*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-22*8 + -3). Let s = m + -277. Let n be (-4)\/6 + (-48)\/s. Which is the closest to -2? (a) n (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 141. Sort -2\/3, m, 2\/21, 1\/10.\nAnswer: -2\/3, 2\/21, 1\/10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -5, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002137 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 7*h - 9. Let d(f) be the first derivative of f**3\/3 + 3*f**2\/2 + 4*f - 1. Calculate 9*d(q) + 4*s(q).\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 - -113. Calculate the smallest common multiple of 6 and -4 - (32\/(-5) - j)*5.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:46 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 518294 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 20 - (160 - 171)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -14. Suppose -1 - 2 = -z*r. Let l = 7 + -4. Solve l*b = 4*b + r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5\/6 + 19*r**4\/2 - 743*r**3\/6 + 149*r**2\/2 + 3683*r\/3 + 1020 = 0.\nAnswer: -68, -2, -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2. Let d(h) = -2*h + 5 + 3*h - 2. Let k(b) = -3*b**3 + 16*b**2 + 154*b - 799. Let v be k(5). What is v*q(i) + 2*d(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v**2 - 4*v. Let u(a) = 827*a**2 + a - 1505*a**2 + 674*a**2. Give 6*m(d) + 17*u(d).\nAnswer: 4*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 221*q**3 + 2*q**2 - 174*q**3 - q + 237*q**3 to h + j*q**2 + m*q + f*q**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 51833*m + 1969655. Determine x(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*8\/(-2). Suppose -k = -i - 30, -k + 0*k = 5*i - 24. What are the prime factors of (k + -1 + c)*1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -7*d**6\/24 + d**5\/60 - d**4\/12 + 442*d**3\/3 - 53*d**2 + 29*d. Differentiate g(r) with respect to r.\nAnswer: -105*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**7\/126 - l**6\/30 + l**4\/9 - 8*l - 24. Let t(i) be the first derivative of w(i). Factor t(k).\nAnswer: -k**2*(k - 1)*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42044.\nAnswer: 2, 23, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -0*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - -12) + (-11 - (-21 - -24)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/145))**14\/((d**(-8\/3)*d)\/d*d*d\/((d**(1\/4)\/d)\/d)) assuming d is positive.\nAnswer: d**(-2221\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 19 (c) 84 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(9\/4)*(j*j\/j**(1\/3)*j)**(15\/2))**(23\/2) assuming j is positive.\nAnswer: j**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143475 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/3)\/(q\/q**(-1\/20)*q)*q**(-16)\/q**(-1\/19) assuming q is positive.\nAnswer: q**(-18997\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/490 and 67\/2205.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4 + 20*f**3 - 52?\nAnswer: 8*f**3 + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4516894 and -1807.\nAnswer: 4515087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 9:36 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-14)\/p**(-3) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 411073688 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l**3 + 5*l**2 + 3*l + 13. Let p(o) = o**3 - o**2 + 2*o - 1. Let x(g) = c(g) + 3*p(g). List the prime factors of x(-4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 56406 = 19*g. Suppose o = 4*o - 12, -5*p = -o - g. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 351 and 352 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -27*o**2 + 4*o - 6. Let q be k(2). What is the tens digit of q\/(-3)*(-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8139295 less than or equal to -8139295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*a - 2*a. Let s(h) = h + a*h + 0*h. Let m(r) = r**2. Give m(s(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1093 + -4381. Let x be 2\/3 - h\/36. Calculate the greatest common divisor of x and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2397938?\nAnswer: 2, 43, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1298682744 and 1272.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2*t + 3. Let n = -1026 + 1029. Determine a(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -23*y + 3 + 38*y - 21*y. Let q be h(2). Calculate the smallest common multiple of 1 and 1\/(-3)*q*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n. Let i(v) = 51161710*v. Determine i(o(t)).\nAnswer: -51161710*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(48436 + 939*r - 48436) + (0 - 2*r + 0)*(-2 + 3 - 2) - r + 2*r - 4*r.\nAnswer: 938*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 14 - 14 - 31*s**2 + 91*s**2 - 35. Let i(q) = -5*q**2 + 3. Determine -35*i(y) - 3*z(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/15 - (-14)\/6. Suppose -2*t - 8 = m*t, 0 = 4*x + 2*t - 4. Solve -w = 3*p + x*w - 12, 2*p - 5*w + 27 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 12*j**2 + 6*j - 85. Let u be b(-13). Let p(w) = 4*w**2 - 6*w - 5. Let l(g) = 3*g**2 - 5*g - 4. Calculate u*l(f) - 5*p(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -6769\/1962 + 20\/327. Calculate the common denominator of r and 79\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/72)\/(((-12)\/(-9))\/(-4)). What is the fourth biggest value in l, -1, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) + -3 + 5. Calculate the greatest common divisor of 35 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 261 + 516226204*y - 516226204*y.\nAnswer: 2*y**3 - 261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 0. Let v = -41.33 + 45.33. What is the closest to v in -0.1, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1088, -4, 18, 0.066, -1?\nAnswer: 1088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2000)\/12*24\/(-2). What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkwwwkwgwg. What is prob of sequence ggg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 10*k**2 - 12*k - 3. Let f be d(-9). Let s = f + -20. Let h(a) = s - 11 + 0 - 7 + a**2. Calculate h(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 9*z - 9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/23)\/x*x\/(x\/x**(-4\/7))*x**5*x**(1\/3))**(-1\/7) assuming x is positive.\nAnswer: x**(-2258\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((((-675)\/20)\/9)\/((-144)\/(-32)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 68644378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*q + 2422110 - 2407766 = 0 for q.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 917 or 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13440, 13509, 13578, 13647, 13716?\nAnswer: 13785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = -2*q + 93. Calculate the common denominator of ((-2)\/88)\/(-4 - (-1070)\/q) and -47\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/12*(19 - 3). Let d = 42 - 30. Solve -2*z - r = -3*i, -i + d = 2*z - 0*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23527619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**2)\/(((x*x\/(x\/(x*x**0\/x)))\/x)\/x))\/(x**(-5\/2)*x**(-2)))**18)**(-7\/11) assuming x is positive.\nAnswer: x**(-1071\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20409924?\nAnswer: 2, 3, 23, 73, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -44, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5 = 2*m. Let k(i) = -i**2 + 5*i - 2. Let n(w) = -3*w - 5. Let b be n(-3). Let l be k(b). Solve -m*u + 3*u = l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/5 + 65812*a + 987162\/5 = 0.\nAnswer: -164527, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 16 - 5*w)*(3*w**2 - 3*w**2 + w**2 - w**2 - 4*w**2 + 4*w**2 + (-w + 0*w + 3*w)*(2*w - 4*w + 3*w)) - 85*w**2 - 3*w**3 + 85*w**2 + w.\nAnswer: -13*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 + 144*x + 642. What is v(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -7*b**3\/3 + 5*b**2\/2 + 5*b + 1. Suppose -8*s + 25 = -3*s. Let d(o) = -6*o**2 + 4*o + 4. Give s*d(v) - 4*g(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8*(-4)\/(-8) + -4. Let p = 5 + 87. Suppose -2*b - 400 = -5*a - 0*b, l = a + 2*b - p. List the prime factors of a.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61117.59 centuries?\nAnswer: 6111759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 43940 = -4*y, 347*t = 4*y + 342*t - 43884. Calculate the highest common divisor of 278 and y.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -14*j - 141. What are the prime factors of l(-27)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + (-2)\/8. Let p be 6*(4\/8)\/1. Which is the nearest to -1? (a) p (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2867*o = 2825*o + 245 + 259 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -2103?\nAnswer: -7\/2103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 3*w + 109, w + 68 = 4*k + 53 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, z: 1, o: 1, s: 1, j: 2, f: 1}. What is prob of picking 1 f, 2 x, and 1 s?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 > 6\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/60 - k**4\/3 + k**3\/6 + k**2. What is the units digit of d(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 689640 by -4926.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 4 + 0)*(5*c - 2 + 2)*(2 - 5 + 1) + 3*c - c - 4*c.\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = 49. Suppose 7*i - 29 - z = 0. Let t(r) = -2*r**2 + r - 4*r**2 - 6 + r**3 + 0*r**2. Determine t(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n**2 + 5. Suppose 0 = -115*s + 118*s. Suppose 2*b - 2*j + 15 = -13, -4*b - 5*j - 20 = s. Let k(a) = 8*a**2 - 3. Determine b*k(q) - 6*d(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 456*b**2 - 98*b**2 - 122*b**2 - 137*b**2 + 1 - 2*b to g*b**2 + y*b + k and give g.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/9))**(-21)\/(q**(-1\/6)\/(q\/((q\/(q*(q**(4\/5)*q)\/q))\/q))))**(-15) assuming q is positive.\nAnswer: q**(261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 8*l**2 + 2*l + 18. Calculate z(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 57*i - 3 + 28*i + 31*i in the form a*i + d + n*i**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7002, 6923, 6844, 6765, 6686, 6607?\nAnswer: 6528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 187 - 241 = 3*y, -y - 524 = -5*k. Let x = -24 + 37. Calculate the highest common factor of x and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - ((6 - 2) + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 6. Let f = 60 + -62. Let w be 1*2\/f - 0\/(-20). Let y be a(w). Solve -5*j = 25, 0 = -2*o - y*j + 4*j + 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvbb when four letters picked without replacement from {z: 2, b: 4, r: 2, l: 1, y: 1, v: 4}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -3, -4?\n\"Answer: -m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2100812 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148974673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*y - 8. Let z = 6 + y. Let h be z\/(-3) + -3 + 5. What is the third smallest value in 1\/8, h, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 3*g. Let k be l(3). Suppose 4*r + 4 + 0 = k. Let f = 0 - -3. Sort 0, f, r in decreasing order.\nAnswer: f, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156276.327+-707\nAnswer: -156983.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 720 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 3*k**3\/2 + 44*k. Let j(r) = -r**2. Calculate m(j(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0*-721\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r - 2*o = -470, -2*r + 6*r = -4*o + 28 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -248970 divided by 258?\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -242354, -484706, -727060, -969416, -1211774, -1454134?\n\"Answer: -q**2 - 242349*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 329114?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 2*n - 38, -t - 5*n = -3545 + 3520 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/72084980 and -1\/69080.\nAnswer: 144169960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 510009680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from ebeeb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -7*l**3\/6 + 40*l**2 - l. What is the units digit of k(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 5:35 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1521 and 95.\nAnswer: -1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*s - 2*p - 12 = 0, -p = 3*s - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -530, -1540, -3096, -5192, -7822, -10980, -14660, -18856?\n\"Answer: j**3 - 279*j**2 - 180*j - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23\/37180 - -29721\/37180. Suppose -4\/5*i - p*i**3 + 2*i**2 + 0 = 0. What is i?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 6*d**2 - 3*d - 6. Let r be -2 - -9 - (0 - -2). Let j be c(r). Let u = 4 + 1. Solve -16 = -5*h - 3*i, u*i + 1 = j*h + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10642 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 2*t + 0*t**2 + 4*t + 36 - 18. Let l be a(8). Suppose 0*w - 68 = -l*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.264\nAnswer: -0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.898436 rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4925?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 932047 - 654130. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + 2 + -37 + (43 - 42)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 20 = -22*s. Is s\/((-16994)\/50946 + (-20)\/(-60)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4856627 smaller than 4856628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -6*o**5\/5 - o**4\/4 + o**3\/2 + 3*o**2\/2 + 1603*o. Let w(m) = -m**3 - m**2 + m + 1. What is -q(x) + 3*w(x)?\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/7 - 5424*m\/7 + 24189552\/7.\nAnswer: -3*(m - 2076)*(m + 3884)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2607 and 12?\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 25, -7*l + 14 = -3*l + 2*q. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -0.2 (b) 138 (c) 8735\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-7 - 0) + 7) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111122563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 164\/(-3) - (10\/3 + -3). List the prime factors of (y\/10)\/((-1)\/4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234466 is divided by 338.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24507.1 + 24507. Which is smaller: j or -4251?\nAnswer: -4251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/81)\/5*(-36)\/(-2280)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33516 (b) 1\/2 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 - 2*u**2 + 4*u**2)*(1 + 2*u**2 - 1) + 24047*u**2 - 24047*u**2 - 2*u**3 - 143*u**4.\nAnswer: -147*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3631 is divided by 1205.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1064413 and 6249?\nAnswer: 3193239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = 3*m + 14*m - 4*m for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33, 72, 113, 156, 201?\n\"Answer: n**2 + 36*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-2046) - 80142\/2294?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 2046*d**2 + d - 9 + 18 + 0 + 16*d**3 + 2045*d**2 in the form t*d**4 + p*d + v*d**3 + j*d**2 + i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3787, 31156, 105435, 250078, 488539?\nAnswer: 844272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, r: 4, b: 4}. Give prob of sequence rr.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -6 (b) -3 (c) 2 (d) 32\/525\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 + 7*x - 8. Let w be r(-7). Suppose 41 + w = 5*n. Suppose -4*t + 3*s = -n, t + 16 = 3*t - s. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157764439.\nAnswer: 7, 1163, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 10, 22, 50, 100, 178, 290, 442?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (667 + 622 - 1925 + 716 - 12*w)*(2*w**2 - w**2 - 2*w**2) to the form y*w**3 + p + x*w**2 + s*w and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21293378879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 12*m + 4. Let q be n(-16). Let t = q - 221\/3. Calculate the common denominator of t and -75\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*h + 1012*h + 21090 + 76176 for h.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 414\/432 - (15\/(-9) + 3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qijuuq. Give prob of sequence qij.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 694250 rounded to the nearest ten thousand?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6780 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 (base 16) in base 7?\nAnswer: -3610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974956047 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -911*y + 187*y + 2 - 2.\nAnswer: -724*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 151*v**6\/6 + 4*v**5\/5 + v**4\/2 + 5*v**3 + 52*v**2 + 3072. Find the third derivative of o(k) wrt k.\nAnswer: 9060*k**2 + 96*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 21. Let n be (-20)\/(-5) - (u + 1). Suppose 0 = -a - 5*r - 1, -2*a - r = -n - 3. Sort a, 5, 2 in decreasing order.\nAnswer: 5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12540937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.08988250256+10.95\nAnswer: 10.86011749744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - 3 + 3 + (f + f + 0*f)*(5*f**2 + 5*f**2 + 0*f**2) - 2*f**3 - f**3 + 2*f**3 + (f + 4 - 4)*(0*f**2 + 3*f**2 - 4*f**2).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-1 + sqrt(144)\/sqrt(128))\/((sqrt(90)\/sqrt(2)*6)\/sqrt(5)).\nAnswer: -5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13468 and 9625772?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 + -4) - (0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23114 and -67.08.\nAnswer: 1550487.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*(h\/(h*h\/(((h*(h*h*h**(2\/13))\/h)\/h)\/h)))\/h))\/(h\/(h*h*h**(-1\/18))))\/((h\/h**(-2\/11))\/h*h)**37 assuming h is positive.\nAnswer: h**(-107945\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 17*l**2 - 4. Determine t(17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from syywwyvvtv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 41*z**2 - 7*z + 43. Let g be k(3). Solve -403*r = -g*r + 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4870 divided by 5.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(4*k + k - 8 - 3*k)*(987 + 128*k - 987).\nAnswer: 512*k**2 - 2048*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -24*d**2. Let j(r) = -r**2 + 25*r. Give j(k(c)).\nAnswer: -576*c**4 - 600*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114143 (base 6) to base 15.\nAnswer: -2e69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(100\/(-60) + 28\/6). Which is bigger: 1\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83959?\nAnswer: 113, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105674 and 420212661?\nAnswer: 840425322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*k + 137*k = d + 14, 0 = -4*k - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.4. Let l = 0.14 - a. Let v = -0.18 - l. What is v rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2839 + 6458 = 2*v, -2*v + 8 = 0. Let j = -371597\/40 - n. What is the common denominator of 21\/4 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8196, -4, -22918 in ascending order.\nAnswer: -22918, -8196, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -40, -67, -98, -133?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.40367 months to millennia.\nAnswer: 0.0063669725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 0 (c) -66 (d) 2\/17 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-2) + -6 + 14. Suppose 13*y - w*y = 378. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48620.\nAnswer: 2, 5, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27486, 54980, 82474, 109968, 137462, 164956?\nAnswer: 192450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x + 1922 = 31*x + 686 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + q = 0, 0 = 4*w + 4*q - 4 - 12. Let y(u) = -u**2 - 138*u - 781. Calculate the remainder when 17 + (1 + 1)*w is divided by y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101 (base 2) to base 16.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2. Let f(b) = -4*b**2 + 5. Give -f(r) + 6*k(r).\nAnswer: -2*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 5*s - 64. Is t(18) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 804.3348 nanograms?\nAnswer: 0.0000008043348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 6. Let h be k(6). Suppose -s = -h*s - 12. Suppose -2*n - 2 = -6. Solve 5*a = n*a - s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**3\/2 - d. Let y(w) be the second derivative of -2*w + 0*w**2 - 1\/3*w**3 + 0. Determine y(r(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 14*d**2 - 14*d - 3. Let a be m(12). Suppose -4*q - a + 401 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*t = 2765 + 3497, -4*p = t - 8380. Suppose 1039 = x + 14*u - 10*u, 0 = -2*x - 4*u + p. What are the prime factors of x?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25148 divided by -25148\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -216. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 3 + 3)*(3*l**2 - 3*l**2 + l**2) - 3*l**3 - 3*l**3 + 3*l**3 - 24*l**3 - 26*l**3 + 15*l**3 to v*l**3 + n*l + g*l**2 + a and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/3*(-48)\/(-18). Let v = z + 19. What is the second derivative of -5*y**4 - 3*y - 2*y**3 - 3*y**v + 5*y**3 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(3\/11)))\/(z\/(z**14\/z)))**(-18\/5) assuming z is positive.\nAnswer: z**(-2322\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 48 + 18*t + 73*t to x + s*t and give s.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 94*d**3 - 2*d**2 - d. Let q be i(-2). Suppose -b + 9 = 3*w, 6*b = 8*b + 2*w - 10. Is ((-33)\/6 - -4)*q\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 20*c - 1. Let n(y) = 226*y**2 + 63. What is x(n(j))?\nAnswer: 4520*j**2 + 1259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 40, 1, 2, -1, -54 in increasing order.\nAnswer: -54, -7, -1, 1, 2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2704788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*v + 3)*(-98 + 227 + 303)*(3*v + 3*v - 5*v) in the form h*v**2 + p*v + f and give h.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9922.929mg?\nAnswer: 9922929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 699*l**3*q**2 + 119*l**3*q + 63423*l**2 + 14905*q**2 wrt q?\nAnswer: 1398*l**3 + 29810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23.75 - 819.355014\nAnswer: -843.105014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -g**6\/120 + g**5\/5 - 11*g**4\/24 + 7*g**3\/6 - 5633*g**2 - 2*g. Give x(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 71399044.67 and 0.1.\nAnswer: 71399044.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 2*p - 3*i + 15, p - 2*i - 12 = 0. Let j = -11 + p. Let z = 0 + 0.1. Which is the nearest to -1? (a) z (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -5*q**3\/3 + 3*q**2\/2 - q + 1. Let a(i) be the second derivative of i**4\/12 - i**3\/6 + 17*i. What is -4*a(u) - o(u)?\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2996*i + 4*i**2 + 3 + 2992*i - 2*i**2)*(3*i - i - i) as s*i**2 + p + g*i**3 + m*i and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -5\/8*k**4 - 12*k**2 + 0 + 1\/120*k**6 + 0*k + 1\/2*k**3 + 1\/10*k**5. Let b(x) be the first derivative of q(x). Factor b(r).\nAnswer: 3*(r - 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.12 and 2.55?\nAnswer: -2.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210*j + 27253 - 30403 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 14 = 12*v. Suppose 3*p = 4*y - 0*p - 151, -5*p + 69 = v*y. Let h = -5 - 0. Which is the biggest value? (a) y (b) -0.4 (c) 2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19145603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -45\/7 (c) -20 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501 + -278. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*z + 3892 - 3911, -3*i - 3 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(12\/15*-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j. Let q be a(2). Let p be 2 + (q + -2)\/(-4). Suppose p = 7*l - 10*l. What is the second smallest value in 0.4, 1, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.9. Let c = z - -0.2. Sort -4, c, -1.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 1003*m - 1008*m = -88, 239*q - 8*m + 144 = 235*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972673 is divided by 12563.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 97\/49 (b) 0.5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208480 is divided by 382?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 27*z**2 + 20*z + 3. Is d(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 12526238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -753, -738, -697, -618, -489?\n\"Answer: 2*n**3 + n**2 - 2*n - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -21e8?\nAnswer: -21e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -5, 0, 715.\nAnswer: -5, 0, 5, 7, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4094*h**5 - 43721*h**2 - 331599130*h wrt h?\nAnswer: 81880*h**3 - 87442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2300700 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1490 divided by 10.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/24 - a**3\/3 - 38*a**2 + a. Let c(y) be the first derivative of h(y). Calculate c(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -58.2. Which is the third biggest value? (a) 1 (b) -2 (c) -4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15824 + -15824.21997. Let k = -0.22 - q. What is k rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (13 + 0 - (-254 + 261)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -28. Let z be 2*(x - (0 + 3)). Put 5, 0.7, z in increasing order.\nAnswer: z, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1284\/1421 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 364953 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 4*s**3 - s**2 - 8 + 4*s**4 - 20*s - 7*s**2.\nAnswer: 4*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*k - 577 = 968 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/4 - 1\/4. Let b = -2.022 - -1.922. Sort q, 0, b in decreasing order.\nAnswer: 0, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/17, -3, -0.03904, -2 in decreasing order.\nAnswer: 2\/17, -0.03904, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 169827007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**3 - 6*d**2 - 5. Let t(f) = 7*f**3 - 6*f**2 - 4. Suppose 4*w + 0*w = 16. Let i(g) = w*o(g) - 5*t(g). Find the third derivative of i(u) wrt u.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1242 = -6*d + 3*d. Let f = d - 267. Calculate the greatest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 11. Suppose l = -2*a + 11. Suppose -j = -5*r + 26, 4*j + 25 + 4 = a*r. Let t(x) = x**2 - 4*x - 4. What is t(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4512)\/(-8272))\/((-2)\/(-55))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -848*w - 453\/2*w**2 - 1\/2*w**4 - 19*w**3 - 640.\nAnswer: -(w + 1)*(w + 5)*(w + 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5120 - 87\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 192822 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33 + 90*x**2 - 8 + 232*x**2 - 11 to the form w + p*x**2 + h*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -4, 0, 24 in descending order.\nAnswer: 24, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m + 178. Let p(u) = -20*u + 353. Let h(y) = -5*l(y) + 3*p(y). Let r be h(22). Calculate the greatest common factor of r and 472.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l**2. Let o(c) = 62*c**2. Give u(o(x)).\nAnswer: 19220*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f**2 + 2*f + 2. What is c(-2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/3)*x*x**(-6\/5))**(2\/5)\/((x*x**3*x**(-3\/4)*x)\/(x**(-1\/2))**(-21)) assuming x is positive.\nAnswer: x**(1891\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*t + 90*t - 4*y - 1, 0 = -3*t + 2*y + 17. Solve 4*i + 7 = 2*i - t*j, 6*j = -2*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, r: 3, p: 4, v: 2, i: 1}. What is prob of picking 1 o, 1 r, 1 p, and 1 i?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4.6. Let j = -0.4 + y. Let u = 2 + j. What is the nearest to u in -2\/5, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/134 - -35\/67. What is m in -o*m**2 - 1\/6*m**3 + 2\/3*m + 0 = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560 is divided by 505.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -13. Let v(w) = -w - 9. Let p be v(z). Suppose p + 19 = -5*f. Let g(i) = 3*i + 6. Determine g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.370569 rounded to two dps?\nAnswer: 30.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, b: 7, u: 3}. What is prob of sequence uu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:22 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3211158*x**4 - 1388892*x.\nAnswer: 38533896*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1233 + 259. Suppose r*v = 1490*v. Solve v*n + 6 = -6*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105 + 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3485 = -5*z, 2*q - 2*z = -0*q + 1406. Let o be q\/(-40) - 1*(-2)\/(-4). Sort 0, -3, o.\nAnswer: o, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -7*m + 152. Let z be s(21). Suppose -2*c + 4*g - g = -1483, -3*g = z*c - 3655. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1854?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5921 * -52.3.\nAnswer: -309668.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*v + 176 + 29 = 0, -2*q + 4*v + 76 = 0. Solve 5*n - q = -30 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15945741 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1035 - 594. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*(1\/2 + -1). Let m(z) = -z**3 + z**2 - 1. Let j(q) = 6*q**3 - q + 3. Let t(y) = j(y) + 5*m(y). Let a be t(o). Do 2 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, i: 1, q: 6, v: 2}. What is prob of picking 1 b and 3 q?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 23*h + 3. What is the units digit of z(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 6. Let c(k) = -2*k - 5. Let t(g) be the third derivative of -3*g**4\/4 + 25*g**3\/3 - 55*g**2. Let d be t(3). Calculate d*h(u) + 5*c(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 153364 and 6.\nAnswer: 460092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -25*v**2 + 401*v + 3. What is k(16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o - 16. Suppose b = -v + o, 3*v + b - 16 = -v. Solve 2*l = l + v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -89*g - 87*g - 9 - 89*g + 261*g. Let w(s) = 3*s + 10. What is -2*m(u) - 3*w(u)?\nAnswer: -u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 20. Find the third derivative of -4*z**4 + x*z**2 + 6*z**3 - 6*z**3 + 5*z**4 wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92.1 - 3.9. Put -0.3, -1\/2, o in ascending order.\nAnswer: o, -1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*o - 157*o - 449*o)*(2 - 1 + 0 - 3 + 2 + 0 + (-4 + 0 + 3)*(-1 + 5 - 2) - 1 - 2 + 0 + 4 - 3 - 2 + (-1 - 3 + 3)*(3 - 1 + 0) - 1 + 4 - 4).\nAnswer: 5166*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15474 - -22950. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011111010 (base 2) in base 16?\nAnswer: cfa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -49.3, -2\/15, -1\/7, -4, -8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 86882, 173768, 260650, 347528, 434402, 521272?\n\"Answer: -2*d**2 + 86892*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 19. Let h(g) = g. Give h(y(j)).\nAnswer: -2*j**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304230211?\nAnswer: 107, 2843273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) - 222\/(-24). Solve 9 - j = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*w + 4*n + 83 = 6*w, 2*w + 4*n + 98 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 9616*o + 1644452. Calculate x(-171).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 71 = -7*p. Solve 0 = -19*k + p*k - 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01275241 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2863 and 104607.\nAnswer: 299489841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6))\/((-21)\/15 - -2). Which is the third biggest value? (a) -4 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + x**3 + 4490*x - 4490*x - 10*x**2 + 8 in the form v*x + i + k*x**2 + o*x**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*f - 104. What is the derivative of 7 - 1 - 1 - f*m**2 wrt m?\nAnswer: -26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1350 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let x be n\/1*1\/1. List the prime factors of (-1 - 0) + x + 11.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2 - 27*l + 209. What is the hundreds digit of o(35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3 + 1 + 2 - o. Let z(r) = 34*r**2 + 2. Let b(p) = -139*p**2 - 9. Let w(n) = -2*b(n) - 9*z(n). What is j(w(x))?\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 44*r. Let f(y) = 81*y - 19. What is p(f(w))?\nAnswer: 13122*w**2 - 2592*w - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 218224\nAnswer: 218264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 5*j = 336. Let a be 10\/4 + (-2)\/4. Suppose 0 = -a*q - q + j. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 18*u**2 + 164*u + 2496. Give z(-26).\nAnswer: 3640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166825.\nAnswer: 5, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 225168178 - 4?\nAnswer: 225168174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2648648?\nAnswer: 2, 331081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33869, -135624, -305219, -542648, -847905, -1220984, -1661879, -2170584?\n\"Answer: n**3 - 33926*n**2 + 16*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 4*z = 37 + 215. Let q(a) = a**3 + 14*a**2 + 24*a. What is q(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (5 - (-22 + 29 + -14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 10*b**2 + 9*b. Let x be a(-9). Is -2 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 9. Let d(f) = 19*f + 66. Let j(n) = 2*d(n) + 13*l(n). Let o = -24 - -35. Let k be j(o). Solve 2*a - 4*g = -2*g - 8, 0 = 5*a + k*g - 25 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198.74 + 27.26. Which is the closest to 0? (a) 0.3 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 73 = -8*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1758, 1778, 1806, 1836, 1862?\n\"Answer: -k**3 + 10*k**2 - 3*k + 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*c = 350, 2*c = -2*m - 0*c + 124. Let b = m + -24. Suppose 20 + 10 = 5*d. What is the highest common factor of b and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17307507 is divided by 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62.59 + -62.09. Put -0.96, h, 4 in descending order.\nAnswer: 4, h, -0.96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -21, -62, -121?\n\"Answer: -9*i**2 + 4*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/341043?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 832 - -44?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 33 - 453. Does 28 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 - 4 - -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -71.\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15760?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 206 and 20.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c**3 - 90*c**2 - 150*c - 16. What is a(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 1. Suppose 15 = 5*x - 5*n, -4*x = -0*x - 5*n - 16. What is the lowest common multiple of 8 and (2 - 9)\/(x\/j)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -595*x**3 - 393297*x**2 - 394022*x - 1320.\nAnswer: -(x + 1)*(x + 660)*(595*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640.898km to micrometers.\nAnswer: 640898000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -12034662978.\nAnswer: -12034662978.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**4 - 155*t**3 + 125*t**2 + 735*t + 450 = 0.\nAnswer: -1, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = -15. Let z = 27 - u. Suppose -3*w = -7*f + 2*f - z, 0 = -f - 4. Are w and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(196) + sqrt(196)*1))\/sqrt(7)*2)\/(2*-4*sqrt(256)*-1).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (42\/(-36))\/(3\/9)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -15. Let m = 4 + o. Let a = 3.9 + 0.1. Sort -0.5, m, a in increasing order.\nAnswer: m, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8519.372 minutes?\nAnswer: 511162320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1084 divided by 4.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000888947 rounded to 6 dps?\nAnswer: -0.000889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/8)\/((-2)\/(-8)). Solve d = 3*x + n, -7*x - d + 9 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 6*t**2 + t + 8. Let a be u(-6). Let j be 49\/(-5) + -3*(11 + -14). What is the closest to 0.1 in -2\/23, j, a?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 122 = -2*t, 0 = -3*k - k - 5*t + 101. Suppose 5*v + 16 - 66 = 0. What is the remainder when k is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 64. Calculate the remainder when 101 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1413 (base 7) to base 15\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 2. Let z be 4\/(-10) + 52\/5. List the prime factors of o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 3, v: 3}. What is prob of sequence vvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-7)*(-7 + 0). Let z = 12 - k. Suppose l = -l + z. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25896680.\nAnswer: 2, 5, 647417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3646 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 4. Suppose -4*a + 6*j = j - 7, b*a + 2*j - 8 = 0. Suppose 0*q = -a*q - 9, d = -q + 8. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itq when three letters picked without replacement from utiquqqququ.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -412 - -356. Calculate the common denominator of 167\/30 and 8\/20 - (f\/30 + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a - 8*a + 9*a)*(a + 3*a - 3*a + 2 + a - 2 + a + 0*a - 2*a + (-a - a + 4*a)*(1 - 2 + 0) + 2*a - a + 0*a - 4 + 4 - 2*a + 0 - a + 0)*(-a - 1 + 1).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001 (base 3) to base 15.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 68, 3 in decreasing order.\nAnswer: 68, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-30) - (-908)\/10) + 1. Calculate the greatest common factor of v and 2116.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9263 - 9273. What is the closest to -4 in -0.2, z, -13, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 56*u**2 - 22*u - 88. Calculate y(-3).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b + 1. Let s(m) = -3*m**3 - 2*m**2 - m + 2. Let u = -7 - -9. Determine u*n(g) - s(g).\nAnswer: g**3 + 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6961, 7045, 7117, 7171, 7201, 7201, 7165, 7087?\nAnswer: 6961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v - 75. Determine l(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -4*z + 2*p - 2964, 0 = 4*z + 3*p - 2960. What are the prime factors of z?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2093\/1196*(-48)\/861\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*s - 22, j + 5*s = 2*j. Let b = -7 - j. What is the tens digit of 10 + 0 + b + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51705 - -10?\nAnswer: 51715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 53a (base 15) to base 11\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0321 (b) 10628 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -45*g - 3. Let p(u) = 5*u - 129. What is p(x(w))?\nAnswer: -225*w - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w. Let s(d) = -d + 3. Let k(b) be the first derivative of b**2\/2 + b + 17. Let h(g) = -3*k(g) + s(g). Calculate o(h(m)).\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 11. Which is the second smallest value? (a) 0.2 (b) -2\/23 (c) t (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 6*v - 3*v - 140*v**2.\nAnswer: -140*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 8*y**2 + 6*y - 5. Give g(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 40*o - 49*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -2 - (-1 + 1). Let j = -42 - -60. Let k be (-81)\/j*2\/3. Sort m, k, 0 in ascending order.\nAnswer: k, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 531 = -11. Suppose 36 = 3*a + 2*t, -a + 28 = -825*t + 827*t. What is the least common multiple of i and a?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - -8. Let f = 50.448 - o. Let m = -0.048 + f. What is the nearest to -2\/19 in m, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0861 - 0.0731. Let t = -0.113 + j. What is the second biggest value in 2\/5, t, -6, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 9. Let l = i - 6. Which is the smallest value? (a) 0.2 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-159)\/(-24))\/((290\/80)\/29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 31 - 12*m - 15 + 60.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 15*g**2 - 13*g - 1. What is u(-14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -41 + 67 + 24 - -36?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 219*h**3 + h**2 + 11*h - 25. Let o be (3 - 4 - -1) + 3. Let k be d(o). What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-342)\/(-30) - 3*(-2)\/(-15). Suppose 3*z = 28 + c. Suppose 0*q - 8 = -2*q. What is the remainder when z is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.92 times -0.4\nAnswer: -5.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005771 rounded to five decimal places?\nAnswer: -0.00577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from hhuuuhxhhxuh.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 12:56 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*u - 8*u + 11*u)*(45 + 67 + 50) in the form c + p*u and give p.\nAnswer: -4050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/2 + 18923053*n**3 - 358081783456353*n**2\/2 - 1432328042132084*n - 2864656689801992 = 0. What is n?\nAnswer: -4, 18923057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3411821.9 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + 0.37232159115.\nAnswer: 64.37232159115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4634 + 143?\nAnswer: 4777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 7, p: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-44\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-31 - (-26 + -27))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 - 2*v**2 - v - 5. Let s be a(-4). Round s to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1783 - 1517 = -3*l. Suppose 10500 = 4*q - l. Round q to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 2, s: 4, f: 4}. Give prob of sequence cflf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 7*a + 6. Let l be f(-7). Let q be 9\/36*-4 - l\/(-2). Factor -2*b**q - 1\/2 + 2*b.\nAnswer: -(2*b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146708664.\nAnswer: 2, 3, 53, 115337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6286.\nAnswer: 2, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 3*s**2 + 9. Let i(j) = -3*j - 2. Let z(p) = -p - 1. Let w(a) = -i(a) + 2*z(a). Calculate -2*t(m) + 10*w(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 156, 214, 308, 438, 604, 806, 1044?\n\"Answer: 18*j**2 + 4*j + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29364 or 146822\/5?\nAnswer: 146822\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {s: 6, c: 1, u: 3, t: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*v - 33, -3*m - v + 11 = m. Suppose -m*k + 4 = -24. What is the lowest common multiple of 11 and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128117585 to the nearest 100000.\nAnswer: -128100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 930085609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 2107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:51 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 759 + -4?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 21683.921 to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 12:43 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*q - 20, z + 3*q - 14 = 5*z. Let c(y) = y**2 + 7*y - 7. Let g be c(-7). Let a = -3 - g. Sort z, a, -3 in ascending order.\nAnswer: z, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 224*k + 6267. Calculate x(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 30, 69, 142, 261, 438?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**4 + 2*v**4 + 0*v**4)*(4 + 0 - 3) - 22523 + 22523 + 19*v**4 - 3*v**2 in the form h*v**4 + x + l*v + y*v**2 + w*v**3 and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/7800 and 53\/148348200.\nAnswer: 148348200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -439\/20 and 2.53 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 3*b - 117 = 0. Let n(h) = h**3 + 15*h**2 + 5*h + 50. What is the remainder when n(b) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55816142?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66179073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 17 - 26 + 17*r - 7 + 67.\nAnswer: 17*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Suppose -j*h - 8 = 26. Let t(a) = 3*a**3 - 14*a**2 - 17*a - 17. Let p(n) = -n**3 + 5*n**2 + 6*n + 6. Calculate h*p(l) - 6*t(l).\nAnswer: -l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -31, -2 in decreasing order.\nAnswer: 2, -2, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 3567.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 52. Let t be p(-22). Suppose t*v - 274 - 558 = 0. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16120 to the nearest one hundred.\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-20)\/18 - 34160\/5544)\/(559 - 1) and -71\/30.\nAnswer: 30690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16459 - 16426. Let x(l) = 6*l**2 + 3*l - 2. What is the remainder when x(4) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*l + 1284*l - 213*l**3 - 1073*l + 212*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-9)*(-21)\/(-7)*21. Let n be ((-7)\/(-7))\/(g\/4). Let j = 79\/12 - 25\/4. Which is the second smallest value? (a) j (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/7 (b) -10\/229 (c) -0.06 (d) 7\/6 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.51 + 4.7. Let c = 0.1874 - k. Round c to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 6 - 2)*(1 + u - 1)*(u - u + u**4)*(3 - 2 + 0).\nAnswer: 49*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 12*m**2 + 12*m - 9. Calculate p(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 4\/3 (c) -3\/7 (d) -9 (e) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + h, a = 10*h - 11*h - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-12)\/18 - 2\/4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-1 - -1)) + -1. Suppose v - 2*v = 5. Let r be (v\/(-3))\/(7\/21). Sort y, r, 1 in ascending order.\nAnswer: y, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 3. Let i = -2.090469 + 0.090469. What is the third biggest value in -70, g, i?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*i = -31, -3*u + 4*u + 4*i = 22. Suppose -31 = -4*c + 3*o, 2*c - 4*o + 6 = 34. Let z = 38.3 - 38. What is the closest to u in c, z, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 393 = 3*u + 401, 3*u = 2*q - 28 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - a0?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x + 1. Suppose -5*w = -s - 93, -x*w = s + 3*s - 42. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4 - 16000 + 76*b**3 + 3664*b - 2633*b - 1080*b**2 + 5769*b = 0. Calculate b.\nAnswer: 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 15*g**2 + 3*g + 8. Let r be t(-15). Let l = -117 + 81. Are r and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14843, -59313, -133403, -237089, -370347, -533153?\nAnswer: -725483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)\/(g*g**(-2)*g))**(-42)*g**(-5)*g*g\/(g*(g**(4\/3)\/g)\/g*g)*g**(-1\/7)*g*g*g**(-4\/9)\/g assuming g is positive.\nAnswer: g**(-1003\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*q + 42 = -1670 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.10183 kilometers in nanometers?\nAnswer: 1101830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.2, 4, 5.\nAnswer: 0.2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -623 - -635. What is the remainder when 154 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*r**4 + 277330*r**3 + 113*r**2 - 73*r + 63.\nAnswer: -216*r + 1663980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-2 - -2 - -25). Let h = 31 - j. Let n = h - -11. Which is bigger: n or 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*p - 96*p**2 + 46*p**2 + 51*p**2.\nAnswer: p**2 + 42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 5*i**2 + 8*i - 8. Let o be q(6). Suppose -o = -d - 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b**2 + 4*b + 3 + 13*b**2 - 26*b**2. Let t(z) = -z - 7. Let j be t(-4). Let u be m(j). Solve -5*d + 3*p - 6 + 0 = 0, -p - u = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 0*i + 0*i)*(846*i + 2504*i + 6333*i - 11345*i - 15210*i - 19005*i) as p*i + d*i**2 + x and give d.\nAnswer: -71754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + (-5 - -10) - -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 + 10*t**2 + 4*t + 34. Let i(h) = -1248 + 1225 - 3*h + h**3 - 4*h**3 - 7*h**2. Let d(g) = -5*a(g) - 7*i(g). Determine d(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 7*y**2 - 8*y - 10. Let a be l(-6). Suppose -3*j - 5*q = -a*q - 36, 0 = -j + 3*q. Let o = 4 + j. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times -3?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 10 - 6 = -4*m, 0 = -5*l + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68280.2 millilitres to litres.\nAnswer: 68.2802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3612 is divided by 92?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/((r*r**(-1\/6))\/r))\/r*r)**(-15)\/(r\/((r*r**8*r*r)\/r))**(-7) assuming r is positive.\nAnswer: r**(-191\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1164, -1130, -1086, -1026, -944, -834, -690, -506?\n\"Answer: i**3 - i**2 + 30*i - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20594, -17099, -11270, -3101, 7414?\nAnswer: 20281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-18) + (-8)\/((-2016)\/164).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and 1926?\nAnswer: -165636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/4 and 65\/5676456.\nAnswer: 5676456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22 * 1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 - 1412658*s**2 + 5650638*s - 5650640.\nAnswer: -(s - 2)**2*(s + 2825320)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1 (c) -23814\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -8, -420, -11 in descending order.\nAnswer: 4, -1, -8, -11, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - sqrt(360)\/(-2*sqrt(10)))\/(sqrt(12) - sqrt(108)*-1).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 6. Let n(v) = v + 1. Let q = -1579 + 1576. Calculate q*n(p) + u(p).\nAnswer: 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/72*(-96)\/(-24)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428742, 857509, 1286298, 1715109, 2143942, 2572797?\nAnswer: 3001674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 1009*v + 1641 = 873*v, -k - 4*v + 3*v - 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-35325)\/375 + 92).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5749 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1748, -0.5, 4, -466?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.6156287 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82ab6 (base 13) to base 4.\nAnswer: -321103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p + 1\/3*p**3 + 0*p**2 + 33. Let c(s) = 237*s**2. Determine c(m(z)).\nAnswer: 237*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcccqqqwcqqwqqqcwf. Give prob of picking 1 q and 2 w.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {z: 4, s: 3, t: 1, x: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 5*r + 2. Suppose -g - 14 = -3*o + 4*g, 5*o + 4*g - 11 = 0. Let f be p(o). Solve 3*x - 4*x - f = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*z**3 + 39*z**3 - 7*z**3 + 109*z**3)*(-z**2 - 3*z**2 + 19*z**2).\nAnswer: 2520*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -32*k**7\/105 - k**6\/120 + 13*k**5\/60 - k**4\/6 - k**2 - 78*k. What is the third derivative of g(r) wrt r?\nAnswer: -1536*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204040375 divided by 163625?\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 111200*t**3 + 1117758600*t**2 - 4721602752000*t + 6786299795692500.\nAnswer: 4*(t - 8265)**3*(t - 3005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318438248 and 358243029.\nAnswer: 2865944232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (214\/8)\/1*2. Let r = h - 54. What is the third smallest value in -2\/7, 31, r?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 1)*(-1)\/(42\/9) + 142\/(-4)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 2:46 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 120596 (base 10) in base 9?\nAnswer: 203375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 205211 to the power of 1\/2, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -5*h - 2*h. Let z be (h\/((-18)\/(-12)))\/((-2)\/7). Suppose -736 = -z*w + 13. List the prime factors of w.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:32 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, e: 1, v: 3, w: 1}. What is prob of picking 2 p, 1 w, and 1 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12001 (base 5) to base 2.\nAnswer: 1101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/(f*f\/f**(2\/7)))\/f)\/f)\/f)**(-21))**(5\/4)\/(f**(-3)*f**5\/f*f)**(-18) assuming f is positive.\nAnswer: f**(267\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 732*b - 35. Let q(v) = 182*v - 9. Calculate -2*o(u) + 9*q(u).\nAnswer: 174*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 761896?\nAnswer: 761896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 884282 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125905 - -116?\nAnswer: -125789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 2*t**3 - 2*t)*(77 - 77 - 33*t) + (t**2 - 6*t**2 + 3*t**2)*(-3*t - t**2 + 3*t) in the form n*t**4 + v*t**2 + q + w*t + m*t**3 and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2203 - -2228. What is the least common multiple of r and 3005?\nAnswer: 15025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1307*z - 5594. Is t(-69) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 take away 167.417?\nAnswer: -208.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117910412?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 14) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.61043 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -22*k**3\/7 + 10940*k**2\/7 - 86358*k + 23436 = 0?\nAnswer: 3\/11, 63, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25423*c*j*v - 8*c*j - 9*j*v - 30317*j - v with respect to c.\nAnswer: 25423*j*v - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 80494338, 0.2, 3?\nAnswer: 80494338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - d - 3)*(-5989 + 26192 - 846) to the form n + z*d and give z.\nAnswer: -19357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -10*s**4\/3 + s**3\/3 + 405*s**2. Give k(-1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*z + 7, 0 = -2*d + 4*z + 5 - 3. Let y = 4132 - 4017. Which is the third smallest value? (a) 2 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuqovoo. Give prob of sequence quuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10a + -2596a?\nAnswer: -25a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (-5 - -9 - 0) + 5. Suppose 413 = 4*p + 2*b - 95, 0 = p + t*b - 141. Calculate the remainder when p is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5226 - 5226 - 11028*g**2.\nAnswer: -11028*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 - 134498*y + 2287044 = 0. What is y?\nAnswer: -67266, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 295*b**3 - 280*b**2 + 580*b.\nAnswer: -5*b*(b - 1)*(b + 2)*(b + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 554 = -126. Suppose 5*u - 138 = 2*c + b, -5*c = -5. List the prime factors of u.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-14)*(-15)\/25)\/((-6594)\/(-10990)).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98163437?\nAnswer: 98163437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.154 + 3.846. What is the third biggest value in -4, 2, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k - 6. Let n be (k\/7)\/(2\/14). Let c = 10 + n. What is the smallest common multiple of 6 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2)*((-30)\/9)\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*o - 229 + 1899 = -2266 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -478 in 0.04, 0.3, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2000\/(-420))\/(-5)*((-234)\/65)\/1?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 71, 112, 157, 206, 259?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -1\/3*h**3 + 3*h + 25 + 5\/2*h**2. Let u(m) = -2*m**2 + 16*m + 10. Let j(x) = 8*s(x) - 3*u(x). Factor j(b).\nAnswer: -2*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -1. Let t = k + 1.95. Let g = -113\/28 + 15\/4. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**3\/3 - q**2 - 44. Let n be f(-3). Sort n, 2, -24 in increasing order.\nAnswer: -24, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y + 12 = 32*y, 2*k + 4*y + 20 = 0. Solve 0 = -5*h, 4*l - 6*l - 2 = -k*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 2)*(1 + 26*x**2 - 25*x**2 - x + 0).\nAnswer: -4*x**2 + 4*x - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85877 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*d**3 - 501*d**2 + 30*d + 48 = 0. Calculate d.\nAnswer: -8, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -33*m**3\/2 + 115*m**2\/2 + 108*m - 2. Differentiate w(o) with respect to o.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from jqqhqhqwjhhqhjx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4 + 4 + 1 + sqrt(1584)*-2 + sqrt(1584) + sqrt(1584) + sqrt(1584)*-4*3 + sqrt(1584) + 1))**2.\nAnswer: -66000*sqrt(11) + 4794100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1517*m - 726*m - 25960 = 736*m. Solve -5*v + 482 = m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 - 976*x**2 - 3*x - 350. Let o(l) = -l**3 + 3*l**2 - l - 3. Let g(u) = -3*o(u) + s(u). What is the derivative of g(h) wrt h?\nAnswer: -3*h**2 - 1970*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b**3 - 2*b**2 - b. Let o be l(-1). Let r be o\/(70\/(-12))*7. Suppose -c = -r*c + 20. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 563 - 562. Let m(l) = 4*l**4 - 30*l**3 + 118*l**2 - 168*l + 72. Let h(s) = s**4 - s**3 - 2*s**2. Let k(c) = a*m(c) - 2*h(c). Factor k(v).\nAnswer: 2*(v - 6)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (4 - 2) + (-133 - (115 + -193)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 20. Let y(m) = -6*m + 216. Determine 18*l(w) - 2*y(w).\nAnswer: -6*w - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143086\/21 or 4\/9?\nAnswer: -143086\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56677.21 micrograms in milligrams?\nAnswer: 56.67721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/11 or 1\/327?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*u - 3 + 3 + (5 - 2 - 2)*(3 - 3 + u) - 4 + 4 + u)*(10*u + 4 - 3*u - u) as k*u + y*u**2 + d and give y.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/40*10\/(-12)*-6. Which is the second smallest value? (a) -0.5 (b) h (c) -0.2 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 4. Suppose -3*n + 5 = 4*x - 0, -2*n - 4*x = -10. Let c(a) = -6*a - 21. Let r be c(n). Suppose 7*s = 4*s + r. What is m(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.913 + 96.513. Let x = j + -95.600854. Round x to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*x + z + 2*z, 0 = -2*z + 6. Sort -2, 5, x in descending order.\nAnswer: 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 = 3*i, -5 = 3*o + 2*o. Find the second derivative of 4*n**2 - 38*n - i*n**2 - 4*n**2 + 6*n**2 wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72384.76 micrograms in nanograms?\nAnswer: 72384760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 - t**4 - 58*t**3 + 5*t**4 + 42*t**3 + 3 + t**2 as u*t**3 + z*t**4 + s + h*t + b*t**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7396 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4243, 8464, 12685?\n\"Answer: 4221*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1 + 63\/(4 - 1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11595232.\nAnswer: 2, 11, 32941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1415*n**2 + 20*n - 21. Let x(g) = -1414*g**2 + 24*g - 25. What is -6*b(q) + 5*x(q)?\nAnswer: 1420*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 22142*b**3 - b**2 + 2*b - 2. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.247008 decades to centuries.\nAnswer: 0.0247008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -476 - 3613*f**2 + 192*f**2 + 1835 + 800*f**2 with respect to f.\nAnswer: -5242*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 7. Let v(s) be the third derivative of -2*s**4\/3 + 3*s**3\/2 + 75*s**2. Is 19 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 6 + 2)*(-u**2 - 3*u**2 + 2*u**2) + 4*u**2 - 3*u**2 + 0*u**2 - 3*u + 3*u + 2*u**2)*((-u + 1 - 1)*(-u**2 - 2*u**2 + u**2) + u**3 + 0*u**3 + 2*u**3).\nAnswer: 25*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 12*k - 29. Let d(l) = 6*l - 15. Let t(y) = 9*d(y) - 4*u(y). What is the derivative of t(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3292631 divided by -7?\nAnswer: 3292631\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**1))\/(f*f*f**(-9))*(f\/(f\/f**14))\/(f*f*f**(-2\/7)))**(-11\/7) assuming f is positive.\nAnswer: f**(-1408\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(245) - sqrt(245)*2).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 4*g - 8. Let h be v(5). What are the prime factors of (-28)\/h*(-9)\/(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 549, 571, 607, 663, 745, 859, 1011, 1207?\n\"Answer: v**3 + v**2 + 12*v + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15*(9\/(-30))\/((-39)\/(-52))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 - 2*m**2 + 61)*(2 + 2 + 3*m - 1) in the form t + x*m**3 + z*m**2 + l*m and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 16*j + 240 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31349 divided by -1.\nAnswer: 31349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1 - (-11 + 3\/(-1)). Let s be 984\/40 - (-6)\/(-10). What is the greatest common divisor of s and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -35?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/2*(-13)\/26. Let u(g) = -6*g + 39. Let p be u(o). Factor 4*x**2 + 2*x - 2*x**2 + x**2 + x**p.\nAnswer: x*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7098 divided by 3\nAnswer: -2366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -1267, -2737, -4761?\nAnswer: -7339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -2849, -6875, -13053, -21695, -33113, -47619, -65525?\nAnswer: -87143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8936 = -3*a, 3268 = -a + 2*f + 296. What is a rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 40679473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 43134062.\nAnswer: 43134061.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -37 - 12*h - 5*h**2 + 17 - 8*h = 0. What is h?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 + 2*n**3 + (-n + n - n)*(-3*n**2 - 2*n**2 + 4*n**2) + 2*n - 2*n + n**3)*(-2 + 4 - 1).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 260137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 11*h - 3. What is the units digit of g(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**3\/6 - 6*f. Let y(n) = -8*n**2. Give y(o(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 5*d**2 - 7*d + 10. Let m be l(3). Find the third derivative of -3*g**6 + 5*g**2 - m + 124*g**5 + 2*g**6 - 4*g**2 - 115*g**5 wrt g.\nAnswer: -120*g**3 + 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - m + 4)*(1050*m**3 - 78*m + 1986*m**3 + 80*m) in the form d*m**3 + w*m + a + v*m**4 + b*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*a = -5, -13*a + 9*a = -4*l + 12. Calculate the remainder when ((-3)\/2 + 0)*-2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 2. Let r be (16 - 10)*2\/6. Let p(i) = -i**3 + 2*i**2 - i. Let s be p(r). Let o(q) = -q**3 - 2*q - 5. Give s*o(t) + 5*n(t).\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 3*v**3 - 3*v**3 + v**2 - 2*v**3 - v**2 + (v**2 - 2 + 2)*(0 + 0 - v) + v**3 + 0*v**3 - 4*v**3)*(-335 + 128 - 2091 - 1116).\nAnswer: 23898*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/11 + 26*j**4\/11 - 86*j**3\/11 + 38*j**2\/11 + 8*j - 64\/11 = 0.\nAnswer: -1, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = -2*f. Let j = -1 - f. Let k(i) = 2*i**3 - 3*i**2 - 4*i + 2. What is the units digit of k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*y, 2*t = 3*y - 4 - 3. Find the common denominator of 1 + (-134)\/t - (1 + 3) and (-4)\/(-16)*189\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/28*(-72864)\/(-2772)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -33. Let t be 10\/2 - 6\/3. Suppose t*m = -m + x. What is the remainder when m is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29706, 59408, 89110, 118812?\n\"Answer: 29702*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3545 and -2?\nAnswer: 7090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/5)\/o)\/o*o**(3\/5)*(o**0)**(-1\/5)*(o*o*o**(-5)*o*o**4)**(-29) assuming o is positive.\nAnswer: o**(-291\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412377 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Let q = 4685.5 - 4685. Sort -0.1, l, 8, q.\nAnswer: l, -0.1, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1709374 decades in millennia?\nAnswer: 0.001709374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3623*g. Let s(v) = v**2. What is s(y(w))?\nAnswer: 13126129*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 22*z - 208. Let l be g(-17). Sort l, 1, 4, -5 in ascending order.\nAnswer: -5, l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**3 + 68*g**2 - g - 11. What is the hundreds digit of c(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 359.73 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91605150 a multiple of 2237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s - 133 - 24 = -v + 54 - 37, v + 21 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*d - 3*l, 0 = -3*d - 2*l - 6 - 3. Let x be -1 - ((-6)\/d)\/(-2). Factor 1 + f + 6*f**3 + f**5 + 4*f**3 + 10*f**x + 5*f**4 + 4*f.\nAnswer: (f + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 3*s**2 + 13*s - 3. Let a(x) = x**3 - 15*x**2 - 30*x - 65. Let r be a(17). Let q(j) = 2*j**3 - 4*j**2 + 12*j - 4. What is r*q(g) - 4*y(g)?\nAnswer: 2*g**3 - 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30040297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 3*d**2 - 22*d + 1212. Give t(-8).\nAnswer: 1708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l + 3. Let d(t) = 11*t - 5. Let q(j) = 5*d(j) + 8*n(j). Let x(w) = 1. Calculate -4*q(o) - 5*x(o).\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 0*l**2 + l + 2*l**2 + (2 - 2 + l)*(-2*l + 3*l + l) + l**2 - 28*l + 13*l - 14*l to the form m*l**2 + d*l + q and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 - 18*a**4 - 30*a**3 + 33*a + 18 = 0. What is a?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10945.24 and 207420.\nAnswer: 196474.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(5\/(-20)*-4). Suppose 3*v = -r*q - q + 12, -5*v = -10. Solve 3*b + 12 = 3*l, 3*l + 2 + q = -2*b for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022048 to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2. Let y be 29\/3 - 12\/18. Suppose 0 = -2*o - o + y. Let h(k) = 3 - o + k**2 - 3*k**2. What is h(c(n))?\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-62)\/(-12) - -2 - -2. Let x = p + -19\/2. Let t = -406 - -1623\/4. Put x, 3\/4, t in ascending order.\nAnswer: x, t, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + n**2 + 3. Let b be y(0). Suppose -b*q + 6*i - i + 726 = 0, 4*q - 2*i - 982 = 0. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59960 divided by 148\nAnswer: 14990\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 5, 0.02, 4, -1, 939, -0.4?\nAnswer: 939","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*-3 - (sqrt(11) - (sqrt(11) - (sqrt(11) + (sqrt(11)*1)**2 - sqrt(11)))*2).\nAnswer: -22 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 + -16 + 4*4. Suppose -f*v + 114 = -36. Solve 5*g - 5*y = -v + 5, y = 4*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -34. Let s be ((-93)\/189 - -1) + t\/18. Let h = -7 + 6.6. What is the nearest to 2 in s, h, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 19*d**2 + d + 52. Let z be r(-19). Calculate the highest common factor of z and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.7393792 days?\nAnswer: 63882362.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 5*k = -4*b + 27, -3*k = -4*b - 3. Let v(j) = 9*j**3 - 12*j**2 + 12*j + 12. Let y(u) = -u**3 + u**2 - u - 1. Calculate b*v(f) - 36*y(f).\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 5?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 913570 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*s - 39, 3*f = 2*f - s + 3. Suppose 13*l - 35 = f*l. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 47277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/45 - (-5)\/((-50)\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -51, 2, 4, 3 in descending order.\nAnswer: 5, 4, 3, 2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3999 divided by -1333.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 719.51 + -712. Let n = t + -10.51. What is the fourth biggest value in -0.17, n, -5, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13228 and -0.122?\nAnswer: 13227.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4541 + -4541.4. What is the closest to -1\/3 in -16\/41, -0.5, s?\nAnswer: -16\/41","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/99 <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 - 94*k - k**3 - 2*k**3 + 15 - 41 + 29 as b*k**2 + f*k**4 + t*k**3 + v + u*k and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 2*x**3\/3 + 8*x**2 - 77*x - 2. Determine f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - z = 24, 5*z - 27 + 7 = -3*h. Solve 0*b = r - h*b + 4, 2*b = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2814 + -2809. Which is the smallest value? (a) -32 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71\/4 + -18. Let j = -2226 + 8905\/4. What is the closest to 1 in 1\/6, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40656 is divided by 380.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6*2*(15\/(-33))\/(20500\/(-428450))\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-1\/3))**33)**(-15))**(25\/3))**(-33) assuming a is positive.\nAnswer: a**181500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and 27\/117578.\nAnswer: 1175780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - -1. Suppose 0*h - 2*h = -14. Suppose -5*q + 2*u - a = u, 3*q + h = -2*u. Let w(y) = y**3 + 5*y**2 + 2*y + 2. What is w(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/(-3) + (-9)\/27. Let l = 17 - w. Find the common denominator of -39\/8 and (-3 + (-14)\/(-4))*l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s - 2*s + 17*s + 2*s to the form i*s + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(60\/138) + -28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.9, -0.4, -2\/3, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - (-19 - 0 - -15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/8 + 2259*v**3\/4 - 1000107*v**2\/8 - 65974095*v - 5117592150 = 0. Calculate v.\nAnswer: -132, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-120)\/(-14) + (-12)\/21. Calculate the greatest common divisor of 40 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -12) + 12352\/(-772).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - o + 52 = -5*o, 0 = 3*n + 4*o - 20. Let f(a) = 14*a - 5 - n*a + 5. Let d(z) = -z. Give f(d(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -47\nAnswer: 9\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 5. Let x(g) = g - 24. Let v be x(7). Let i = -22 - v. Calculate the least common multiple of f(i) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/5))**(19\/4)*(b**1\/b)**36)\/((b**(1\/3))**(8\/9)\/(b**(-1\/3)\/b**(-5))) assuming b is positive.\nAnswer: b**(1693\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 5*z - 900 = 0. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51229664.\nAnswer: 2, 41, 39047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + c - 4, -5*c - 81 = 5*x - 86 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184019313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4500\/1250)\/(2\/(-5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 18 = -v, m - 201 + 213 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 + 194 = 42*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 1418080*n + 31195824.\nAnswer: 4*(n - 354498)*(n - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4) + 5*15\/50. Suppose y = 2*d + 2*d - 4*x + 12, 5 = -5*d + 3*x. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 19*y**2 + 64*y + 44. What is q(14)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -53. Suppose -12*u = -4*u - l. Factor 0 - w**2 - w**3 - 1\/3*w - 1\/3*w**u.\nAnswer: -w*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -1\/8 (c) 0.5 (d) 1\/3 (e) -6\/91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of (-1)\/((430\/(-26520))\/43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015834 rounded to five dps?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 702 - 707. What is the nearest to h in 0.04, 3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*j + 16 = 0, r + r + 5*j = 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.96 - -3.96. Which is the nearest to 0? (a) 2\/13 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58 in 4\/7, -0.1, -2, -277?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**7\/10 + 8*b**5\/15 - 31*b**2. What is the third derivative of p(z) wrt z?\nAnswer: -504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5062?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 35*s - 85. Determine t(29).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 0.3, 2, 18, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + v + k + 123, 0 = -2*v + 2*k - 54. Let f be v*(-11)\/(110\/4). Solve -f*t + 5*t - 15 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1947 and 1948 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-4) + 10\/1. Let k = 13 - r. What is the derivative of -4*y - 3 + k*y - 5*y wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -131, -252, -373, -494, -615?\n\"Answer: -121*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 63. Let d = 10 + s. Let m = 38 + d. What is the remainder when 57 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*k + 329, 103 = k - 4*i - 69. Suppose -72 + k = 8*h. Is -9 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/3)\/(z*z*z**(-3)))\/(z\/z**2*z)**(-37)*(z**(-3)\/(((z\/(z*z**8*z))\/z)\/z*z))**(-2\/11) assuming z is positive.\nAnswer: z**(46\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 + 243. Suppose -m + 5*p = -22 - 39, f = m + 5*p. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1704 + -848. List the prime factors of y.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -11\/13, -2, 7, 0.1, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 32.8 (c) -227\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (3 - 13) - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g**3 + 21*g**3 + 22*g**3)*(4*g - 2*g - 3 - 3*g).\nAnswer: -29*g**4 - 87*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a - 21*a + 2*x = 25, -14 = -3*a - x. Solve 0 = -3*g - 5*i + 12 + 5, a*i - 12 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z + 7. Let r be t(6). List the prime factors of 22\/r - 205\/(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-200) + (-3)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38653915621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Let g be (9\/10)\/(12\/w). Let c = -1429.9 - -1430. Is c at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*m**2*q**2 - 19*m**2*q + m**2 + 35*m*q**2 + q + 1 wrt q.\nAnswer: 58*m**2 + 70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3216383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, s: 3, c: 1, r: 4}. Give prob of sequence jscr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324 + -288. Suppose -144*a = -156*a + y. Solve a*t - u - 12 = 3*u, 0 = -4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1147 + 1163. Solve -m = -2*t - 0*t - 4*f, -5*f + 10 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 - 4*n + 4*n)*(-3 + 2*n + 3) + (37*n**2 - 19*n**2 - 10*n**2)*(-n + 2*n - 3*n) as w*n**3 + l*n + y*n**2 + j and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 478*h**3 + 12375*h**2 + 2*h + 35706496 wrt h.\nAnswer: 1434*h**2 + 24750*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 18}. What is prob of picking 2 x?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3236 + 3236.5. Which is the nearest to -1\/2? (a) -2\/9 (b) w (c) -0.051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4630 by -10.\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*d = 0, 4*d + d = 5*x. Suppose -4*g + 3*r + 9 = 0, x*r + 6 = g - 2*r. Let m = 79\/96 - 5\/32. Is m != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*m + 3)*(-5 - 1 - 1) + (1 + 1 - 4)*(m + 0*m - 3*m) + 6*m - m - 3*m + m + m - 3*m - m - m + 8*m + 2 - 3*m - 4*m + 4*m.\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.095, -0.3, 0.204, 9\/2, -0.2 in increasing order.\nAnswer: -0.3, -0.2, -0.095, 0.204, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -46*u**3 - 4*u**2 - 15*u - 18. Let j(o) = 38*o**3 + 4*o**2 + 14*o + 16. What is -5*a(f) - 6*j(f)?\nAnswer: 2*f**3 - 4*f**2 - 9*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t + 34*t + 2 - 14*t**4 - 14*t to the form f*t**3 + h*t**2 + a*t + r*t**4 + o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 2108*l**2 + 50097*l + 168796. Calculate n(-2084).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 83, 79, 75, 71, 67?\n\"Answer: -4*m + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/8)\/(-27)*4\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 - 3\/(120\/(-256))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 8*a**3\/3 + a**2 - a. Calculate the remainder when m(3) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, v: 3}. What is prob of sequence vfff?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6326623999.\nAnswer: 113, 127, 440849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10578 divided by 2?\nAnswer: -5289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 4*n - 24. Solve 3*s + 5*i = s - n, 0 = -4*s - i - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6045*o**2 + 36203*o\/6 + 67\/6 = 0. Calculate o.\nAnswer: -67\/36270, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 27 (b) -2 (c) -0.3 (d) 3\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 4*s - 1. Let p(c) = -c**2 + c. Calculate i(l) - 3*p(l).\nAnswer: 5*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -3\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -994495, -994497, -994499, -994501, -994503, -994505?\n\"Answer: -2*l - 994493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*i - 19 = 0, 29*m + 13*m - 59*i - 477 = -56*i for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1 = -9, 4*x - 2*y - 24 = 0. Suppose -x*s + 2 = -13. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 = 7*b + 286. Calculate the remainder when 1402 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.06 + 7. Let n = 0.025 - 1.025. Which is greater: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-8)*(-372)\/(-1998) and -71\/106.\nAnswer: 35298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 2 = -12*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -686.3 + 677.904. Round i to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4753 = -419*w + 699*w + 399*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5628*m - 1158*m - 3826*m - 435*m + 794*m as n*m + d and give n.\nAnswer: -10253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(16\/(-12))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 + 1088. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 17 + (-12 - -11 - 15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -10.4695, 2.\nAnswer: -10.4695, 0.15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111000111 + -10111011100001011?\nAnswer: -10111101011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199545681.\nAnswer: 3, 383, 173669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 1, s: 2, g: 9}. Give prob of picking 3 u and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - g)*(-4*g + 3*g - g) + 0*g**2 - 3*g**2 + g**2 + g - g**2 - g - 8*g**2 - 11*g**2 - 3*g**2.\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7628991 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 2\/7 (c) 1\/2 (d) 3\/8 (e) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - q**2 + 1. Let t be i(1). Let w = -4 - -34. Let h = 61\/2 - w. Which is the nearest to 0? (a) 0.2 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + (-409)\/72. Let h = 42595 - 766487\/18. Let l = h + k. Calculate the common denominator of l and 103\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 4*r - 7. Let y be j(6). Suppose 5*f - u = 2180, 0 = -3*f + y*u - 4*u + 1308. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5412972 is divided by 41961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0.2. Let v = 0.1279 - 1.4979. Which is the third biggest value? (a) -1\/2 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2081.6 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*d = 33, 0 = -2*f + 3*d + 16 - 10. Let k(z) = -3*z + 6. Let x be k(6). Is 7 a factor of 110\/f + x\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*k**3\/3 + 39296992*k**2\/3 + 1969711199296*k\/3.\nAnswer: 4*k*(7*k + 701732)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/15 + 304*w**2\/15 - 102*w\/5.\nAnswer: 2*w*(w - 1)*(w + 153)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 1314 + 5058 = 0. Let a = h + 553. Is 39 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**8)**(-35)\/((w**(-2\/7)*w*w)\/(w\/(w**(-3\/5)\/w)*w)) assuming w is positive.\nAnswer: w**(-12184\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/((-1056)\/(-72))*(-122)\/(-21045)?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/7)*q\/(q*q**22*q) assuming q is positive.\nAnswer: q**(-163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6522347 (base 9) in base 2?\nAnswer: -1101010110001100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-8 - ((-1 - 3) + 8 - 10))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 370.6, -987 in increasing order.\nAnswer: -987, 1, 370.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1d5b (base 16) to base 15\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17530953 rounded to 4 decimal places?\nAnswer: 0.1753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 10 = -f + y, 3*y = -5*f + 6. Let l(a) = 7*a - 149. Let b be l(22). Which is smaller: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 times -42878?\nAnswer: 5445506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6664 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/7 + 60*g**3\/7 + 450*g**2\/7.\nAnswer: 2*g**2*(g + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21354262 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5702 rounded to two decimal places?\nAnswer: -2.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 55*i**2 - 205*i - 384. Give y(6).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*o - 132, -4*g + o + 199 + 296 = 0. Let f = 1177 - g. What are the prime factors of f?\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826555123?\nAnswer: 826555123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-24))\/(22\/(-132)). Factor i*t - 3\/4*t**2 - 3.\nAnswer: -3*(t - 4)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (6\/33 - 2\/11). Let v(c) = 6*c**3 + c**2 + 2*c + 1. Let d be v(-1). What is the common denominator of -7\/9 and 26\/5 - (r + d)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7*o = 3*o + 76, -10 = -d + 2*o. Solve 14*h + 4 = d*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 5*t + 3. Let q be k(-3). Let d be (-24)\/(-4)*(-2)\/q. Suppose d*g = 3*g + 11. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287427 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -40*c + 2324. Let y be x(58). Sort y, -10, -21 in increasing order.\nAnswer: -21, -10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 10*s**2 + s + 5. Let g be c(5). Suppose -g*d + 18*d = 72. Suppose 226 + 359 = d*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -804 (base 15) to base 8.\nAnswer: -3414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*v - 76 = d, 5*v - 225 = -5*d. Let x = d + -28. Calculate the highest common divisor of x and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 1, x: 1, v: 1, g: 4, e: 4, r: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2027 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*w + 22, 8*w - 4*w + 8 = 0. Let s be -1*2\/1 + -57. Calculate the remainder when s\/(3\/3)*-1 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 7*n - 6. Let f be y(-8). Let u(i) = 0*i**2 + 2*i**2 - 4*i**f - i**2. Let j(g) = -2*g. Calculate u(j(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.236 and -481680619.\nAnswer: -481680617.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145 + -16. Calculate the remainder when w is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -162*g - 1612. Let u be v(-10). Solve -175 = -u*x + 43*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233147 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1717)\/101 - (-2929)\/174.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15*(0 - 4\/((-20)\/5)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39754 + -14)\/(51994\/(-39000) + 4\/3). Round s to the nearest one million.\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(3*(-1 + sqrt(425)) + (-6*sqrt(425)*2 - sqrt(425)) - (5 + (0 + sqrt(425))*-2))*-2)**2.\nAnswer: 2560*sqrt(17) + 109056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y - 7. Let n be (-7)\/35*-5 + (12 - 0). Let h(z) = -z**3 + 14*z**2 - 16*z + 44. Let a be h(n). Let l(p) = -6*p - 6. Give a*t(d) - 6*l(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 416677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-15)*(-1)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511913791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + 2*m - 5*m - 1 + 8*m + 3*m - 10*m + (4*m - 5*m - 4*m)*(4 - 2 - 1).\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m. Let p be t(1). Suppose -7*h - 66 + 38 = 0. Sort h, p, 0, 1.\nAnswer: h, p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248194 rounded to the nearest one thousand?\nAnswer: -248000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-3\/5)*x)\/x*x**(-12)*x**(-3)*x**(1\/5))**(16\/3) assuming x is positive.\nAnswer: x**(-976\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145804?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -9*c + 10. Let m(z) = 2*z - 1. Let q(v) = -3*m(v) - n(v). What is q(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 17*q**2 + 49*q + 398. Give r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26868847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 3492.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + j + 100*j**2 - 93*j**2. Let a(q) = -6*q. Give a(u(o)).\nAnswer: -42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42152 - -721?\nAnswer: 42873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((195\/(-9) - -10) + 12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4.03. Let w = h + 0.27. Let j = 0.299992 - w. Round j to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16669*n**2 + 2*n - 2*n - 26943*n**2 in the form w*n**2 + i*n + y and give w.\nAnswer: -10274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142\/(-78) + 3 + (-6 - (-70)\/15).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28370029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(176) + 0))**2 - (sqrt(352)*-2 - sqrt(22))\/sqrt(2).\nAnswer: 9*sqrt(11) + 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1507373922 and -0.0698?\nAnswer: 1507373922.0698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(((h*h**(2\/5)*h)\/h)\/h*h))**(1\/15)*h**(-8\/3)*h*h\/(h\/h**10) assuming h is positive.\nAnswer: h**(623\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -14 - (0 + 18)) + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 4*j + 10. Let f = 2 - j. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, 3\/2, -1\/31 in decreasing order.\nAnswer: 9, 3, 3\/2, -1\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {x: 5, f: 11}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:56 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 273510199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -180, -273, -370, -471?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 46. Suppose u*a = 20, -3*n + 0*a = -2*a - 13. Suppose 273 = 5*h - 4*y, 0 = -5*y - 3 - n. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (-6*(sqrt(77)*4 + sqrt(77)) + sqrt(77))) + sqrt(77) - (sqrt(77) - (sqrt(77) + 4*sqrt(77))*-4))\/((sqrt(110)*-2*4)\/(sqrt(30)\/sqrt(3)*5)).\nAnswer: -25*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4951*s + s**2 - 2*s**2 - 11*s**2 + 484*s.\nAnswer: -12*s**2 + 5435*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -526 (b) 4 (c) 2\/7 (d) 2\/11 (e) -5 (f) -2\/7 (g) 10\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w + 18 = 0. Sort w, -1, 3, -3.\nAnswer: w, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 43*a**2 - 155*a - 38. Give g(39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/14 and (-21675)\/(-39500) - (-2)\/(-5)?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304123031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 314, 313, 312?\n\"Answer: -q + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 469.\nAnswer: -23\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 21*t**2 + t - 20. Let u be z(21). Let c(b) = -b**2 - 2*b + 2. Let j be c(u). Let k = 11 + -14. What is the third biggest value in k, j, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -59. Let c be h\/(-4)*(-12)\/(-3). Let m be 18\/(-12) + c\/2. Which is smaller: -45 or m?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 15 = 5*k - 58, 2*k = -5*a + 46. Suppose k*f - 11*f - 1034 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2418)\/(-351) + (-7)\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 1. Let w(i) = 9*i**2 - 4. Let q(o) = -8*o + 404. Let b be q(51). Let s(x) = b*f(x) + w(x). Let a(v) = 27*v + 1. Calculate a(s(r)).\nAnswer: 27*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (10 - (-60)\/(-6)) + (-71)\/(-120) and -23\/6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 18*g - 3270. What is g rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 9}. Give prob of picking 2 u.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16970\/9 (b) -0.06 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508509146 to the power of 1\/2, to the nearest integer?\nAnswer: 22550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -170*d + 166*d + 3*z, 0 = 4*d + 5*z - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-6)*q)**48\/(q**19*(q**(-24)*q)\/q*q))**(-19) assuming q is positive.\nAnswer: q**4484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 51. Suppose 8*f + 3*v = 3*f + 15, -4*f = -3*v - 12. Suppose -11 = -4*u + f*u. What is the remainder when k is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) + (-5)\/(-2). Suppose -2*s - l + 88 = q*s, -40 = -2*s + 2*l. Suppose 3 = -x - 2*x, -4*x = -p + s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {h: 3, v: 2, u: 10}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -453 + 57525\/127. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(27) + 1 + (sqrt(21) - (sqrt(189) - 1*sqrt(189)))\/sqrt(7).\nAnswer: -8*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729 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: Let n(o) = o**2 + 4*o + 2. Let y(v) = -v**3 + v**2 + v - 4. Let q be y(0). Let c be n(q). Let x(m) = 5*m. What is x(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-7061\nAnswer: 28244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -30*f**2 - 1354*f - 144. Calculate w(-45).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -2, -20, 0, -7, 2 in increasing order.\nAnswer: -20, -7, -2, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*y = -14, 0 = -l + 2*l - 2*y - 2. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -701, -1212, -1723?\n\"Answer: -511*s - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1130000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/7 + -22*2\/8. Which is the biggest value? (a) w (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30122577, 30122562, 30122547?\nAnswer: 30122532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3640 and 520.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 4*t + 4. Let n(x) = 2*x**2 + 16*x + 2. Let w be n(-8). What is the remainder when s(-4) is divided by w\/(-11) - (-65)\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 24 = -5*q, 3*h - 36 - 100 = q. Let y = h - 31. What is the remainder when 50 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-742)\/(-84) + -6. Suppose a = -4*a - 30. Let x(t) = t + 6. Let w be x(a). What is the closest to -2\/7 in b, w, 11\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2706 - 0.06?\nAnswer: 2705.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/9 + 34*m\/3 + 196\/9.\nAnswer: 2*(m + 2)*(m + 49)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/40 and -99\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*l + 2750 + 4864. Let q = 699 + l. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26211, -26210, -26209?\nAnswer: -26208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) -61.3 (d) 0 (e) -4 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -18*p**2 - 26*p + 55. Determine h(-5).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/420*98)\/(4\/(-40)))\/(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 1.55, -4\/13 in increasing order.\nAnswer: -4\/13, 2\/13, 1.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - 18*m + 134 + 14*m + (2 + 1 - 2)*(-2 + 2*m + 2).\nAnswer: -2*m + 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1142933, -4571827, -10286691, -18287537, -28574377, -41147223, -56006087?\nAnswer: -73150981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 q when three letters picked without replacement from shddddhqhdhvddh.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 188\/(-282)*((-441)\/(-6))\/(-7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -14*r + 16*r - 3, -5*r + 2*j + 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2106 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 1.1405 (c) -7\/3 (d) 3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5244\/(-20))\/19)\/((-9)\/(-15)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 35*j + 12 - 31*j + 4*j**2 in the form o*j**2 + i*j + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/263 - 512\/1841. Let x = -289\/35 + 42\/5. Which is the smallest value? (a) -1\/8 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 466?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 645, 650, 655, 660, 665?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 1, p: 12, j: 3}. What is prob of sequence mj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = 3*q + 2*g, -2*g + 6 = 2*q. Let 4*y - 20*y**3 + 17*y + 18*y**q + 3*y + 10*y**2 = 0. Calculate y.\nAnswer: -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m. Let u(j) = -11*j**2 - 515741. What is f(u(n))?\nAnswer: 110*n**2 + 5157410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -24?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/994 - -761\/15407. Let m = -48\/31 + d. Which is the smallest value? (a) m (b) 0.06 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152642*m**3 + 57748*m wrt m?\nAnswer: -915852*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 49*t + 93. Calculate r(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s + 9 = 0. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4162)\/14567)\/((-2)\/8)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1039\nAnswer: 103.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmibfimircc. What is prob of sequence iibc?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 65393501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:17 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.88471 micrograms to grams.\nAnswer: 0.00002088471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.437 or -2440?\nAnswer: -0.437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -110*h**7\/21 - 2*h**6\/15 - 925*h**3\/6 - h**2\/2 - 793*h + 3. Find the second derivative of i(b) wrt b.\nAnswer: -4400*b**3 - 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0663536 millennia?\nAnswer: 66.3536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 + 8*h**2 + 7*h + 7. Let s(l) = -l**3 - 44*l**2 - 2*l - 3 - 3 + 0*l**3 + 41*l**2 + 4. Calculate 7*s(w) + 2*t(w).\nAnswer: w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 23*z**2 - 50*z + 8. Let u be c(-25). Solve 2*v - 2 = u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*q - 69 = -96 + 66, 5*n - 1109*q = 7*n - 7765 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61421 times 4?\nAnswer: 245684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56818*s**4 + s - 30427?\nAnswer: 681816*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82175619 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1\/2, 2\/13, 1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2977.\nAnswer: 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1075)\/35 + 2701\/4891*67?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 + -8 + 0 - 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9641925 to 2 dps.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 795 - 798. Which is the nearest to -2\/3? (a) 2\/269 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -333.85 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 331, 3, -22228, -16.\nAnswer: -22228, -16, 3, 4, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/39*104\/(-16). Solve 8 = -u*t + 4*v, -3*t - 17 = -7*t - 3*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1124 - 231?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80.3 in 0.714, -2, -3?\nAnswer: 0.714","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -12 - (-22 - (2 - 33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -4, -1, 2, -5 in decreasing order.\nAnswer: 2, -1, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -610? (a) 0.1 (b) -0.7 (c) 0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2684844 and 480216.\nAnswer: 59066568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(-4)\/(-16)*-2. Let y = 0 - 1. Put y, j, 3 in ascending order.\nAnswer: y, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b4309 (base 14) to base 6\nAnswer: -131225353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 67, 94, 141, 214?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27707 divided by -269?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = a - 6 + 20, -10 = 2*a. Let n = 4 - 2. What is the second derivative of n*h**w - h**3 - h**4 + 3*h - h**3 wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.684833 nanoseconds?\nAnswer: 0.009684833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1398 greater than or equal to -905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 636501 to the power of 1\/2, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*s - s - 105, -k + 5*s = -5. Let w be ((-10410)\/k)\/((-2)\/14). Is w*(1 - 2)*(3 + -4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 - 142*g**2 - 187368*g\/11.\nAnswer: -2*g*(g + 148)*(g + 633)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q = 9*q - 32*q + 165 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 21*p**2 - 2 + p**2)*(-2 + 0 + 7).\nAnswer: -100*p**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2292259443?\nAnswer: 3, 31, 24647951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10101011?\nAnswer: 10101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 241. Let a(j) = -2*j - 161. Give -7*a(o) - 5*l(o).\nAnswer: -o - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.596 - -0.666. Let q = -97\/4 - -23. What is the second biggest value in q, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -4. Let r be (-4)\/(-1) - 3 - p. Suppose o + 105985 = 3*f, 3*o - r*f = 2*o - 105975. What is o rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x + 10*x - 84*x - 2 + 21 + 3*x to the form n*x + v and give n.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -274, 4 in increasing order.\nAnswer: -274, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**3 + 4*q**2 - 6*q + 12. Determine v(2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -535 * 90783.\nAnswer: -48568905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -86*o**2 + 0*o**4 + 0*o + 1\/40*o**6 + 0*o**3 + 0 + 0*o**5. Let u(q) = -q - 7. Let d be u(-6). Calculate g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/32557418 and -59\/42620.\nAnswer: 325574180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -970833 or -1941663\/2?\nAnswer: -970833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16303 and -82.\nAnswer: -1336846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100212 - -100?\nAnswer: -100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 14389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 2*s)*(2 + 2 - 6)*(-25*s + 0*s + 62*s).\nAnswer: 148*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 273*f**2 - 335*f - 27121. Give i(-137).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 99800*z - 9534720.\nAnswer: -5*(z - 19864)*(z - 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -33. Let u(c) = 9*c**2 + 5*c - 3. Let z be u(3). Let w = z + -65. Calculate the remainder when w is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*h + 295, -3*h + 0*d + 2*d = -184. Is h\/((-2)\/30 - (-6)\/15) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/4 + 177*q**3\/4 - 2997*q**2\/4 + 10935*q\/4.\nAnswer: -3*q*(q - 27)**2*(q - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83000919 and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - 5*m**4 + m**2 - 3 + 5*m**4 + (-2*m**3 + 2*m**3 + 2*m**3)*(-4*m + 5*m + 0*m).\nAnswer: 3*m**4 + m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j**3 + 19*j - 2*j**2 - 220*j**3 - 15*j + (5*j + 0*j - 3*j)*(2 - 2*j**2 - 2) to i + s*j**2 + z*j**3 + w*j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {r: 5, b: 1, d: 2, j: 1}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b**2)*(-b - 2*b + 2*b + (b + b - 3*b)*(-3 - 1 + 2)).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28.8934 + 0.1066. Let x = -27.7788 + -0.1412. Let i = c + x. What is i rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 857 + 857 + (1 - 4 + 5)*(3*j - 4*j + 0*j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695636260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(76))**2 - ((sqrt(76) - (sqrt(76) + sqrt(76) + 0)) + sqrt(76) + -5) - -4*-5*((1 + sqrt(76))**2 - sqrt(76)).\nAnswer: -1763 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3495, 7010, 10571, 14178, 17831, 21530, 25275?\n\"Answer: 23*s**2 + 3446*s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g. Let z(x) = -x**3 - x**2 - 3*x - 1. Suppose -2*l + 5*l = -6. Let t be z(l). Let r(w) = -9*w + t*w - 4*w**2 + 5*w**2. Give r(b(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 k when four letters picked without replacement from {l: 7, k: 2, q: 3, b: 3}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1128923?\nAnswer: 19, 59417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9. Let y be (-1)\/((3 + j)\/(-15)). Put -2, y, -5 in ascending order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3)*2 + 5 + sqrt(3)*-1 - sqrt(21)\/(sqrt(175)*-2))**2.\nAnswer: 71*sqrt(3) + 17623\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43\/5 - -286\/35. Which is the closest to 0.2? (a) -19 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 90, 76, 58, 36?\n\"Answer: -2*w**2 - 8*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -6.049156\nAnswer: 2.4196624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/842621 and 24\/247.\nAnswer: 16009799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5723\/(-970) - 5\/(10\/(-12)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -166, -346, -590, -898, -1270?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 + (5 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31752 and 115992.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y + 224. Let u(f) = -f + 1. Determine d(w) - 4*u(w).\nAnswer: -3*w + 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 9*m**2 - 3*m + 203. Calculate b(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 10*m + 21*m)*(-1 + 3 - 4 + (5 - 6 - 2)*(-1 + 1 - 1)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6, 10, 14?\n\"Answer: 4*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 15246256?\nAnswer: -15246245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 - 5*y - 64. Let h be p(11). Let d = h - -502. Calculate the least common multiple of d and 38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 755 and 2788970?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025522084499 rounded to seven dps?\nAnswer: -0.0000255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4488170 - 11068464 = -17*r - 4792064. What is r rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 34802859.\nAnswer: 69605718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5450 = 4*z, 4*t - z = 6*t - 5475. Calculate the remainder when t is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + w + 9 = -2*k, k = -2*w - 3. Suppose -5*s = 5*d - 2*s + 16, -k*s + 10 = d. Is d\/(-20) + (-1003)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-4) - 3\/(-12). Let h(b) = b**3 - b**2 - 2*b + 2. Let p be h(2). Let j = p - g. Solve 0 = -t - 2*y - 5, 3*y = -j*t - 0*y - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 580251119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 600.9 + -635. Let k = -32 - i. Let f = 2.2 - k. Which is the third smallest value? (a) 5 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -5, 3, 1 in increasing order.\nAnswer: -5, 1, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*c + 7*c = -19, -2*k + 10 = -4*c. List the prime factors of ((-5)\/k)\/(3\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 171\/(-4) - ((-3)\/4 - 0). Which is greater: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 11 = d. Let p(z) = 18*z + 14. Let u(w) = w + 1. Let k(q) = 2*p(q) - 28*u(q). Determine k(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14 - -0.16. Let n = 78 - 78.031. Let f = 0.031 + n. Which is the third biggest value? (a) s (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7489659305\/12936 - 578978. Find the common denominator of i and 79\/20.\nAnswer: 64680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m. Let c(g) = g**2 - 20034*g. What is o(c(w))?\nAnswer: 12*w**2 - 240408*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10215 or -10219?\nAnswer: -10219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/22198)\/((-4)\/(-48388)). Let g = -1\/1009 - x. Let f = -6924 - -41693\/6. Calculate the common denominator of f and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10155*y. Let r(o) = o. Determine a(r(m)).\nAnswer: 10155*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 - 12*v - 19. Calculate l(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18 and 2506722.6?\nAnswer: 2506740.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (sqrt(39) + -3*sqrt(156) - sqrt(39)) - (sqrt(3900) + (sqrt(3900) - sqrt(3900)*-2) - sqrt(3900)))\/((3*sqrt(24)*1)\/sqrt(8)*-3) + 3.\nAnswer: 3 + 35*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/104 and 654\/4251*(-4)\/(-50)?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201210030 - -112?\nAnswer: -201203312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10\/619 - -1308\/4333. Let f be (-20)\/(-119) - 2\/7. Let u = 113 - 110. Sort f, z, 0.5, u.\nAnswer: f, z, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6846138792 to the power of 1\/3, to the nearest integer?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12214*i + 11326*i + 1776 = 0. Let 120\/11*s + 244\/11*s**i + 42\/11*s**3 + 16\/11 - 98\/11*s**4 = 0. Calculate s.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 2.4.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1187\/1)\/((-4)\/316). Let d = -503773 - r. What is d rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173\/36 - -50\/9. Let b = -0.03 - 7.97. Let l = b + 11. What is the closest to -2\/5 in l, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 8. Let h(r) = r**2 - 2*r + 3. Let j be h(2). Suppose -j*w - 5 = 7. What is the units digit of c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251547 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 1048299, 2 in ascending order.\nAnswer: 1, 2, 4, 1048299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 552434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 611 - 600. Solve g - 10 = y*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1400)\/3080*(-5)\/(-25).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22194 (base 12) to base 2.\nAnswer: -1011000010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4408 + -676. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1263302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**3 - 18*p**2 + 4. Let s(q) = 4*q**3 + 9*q**2 - 2. What is 2*o(g) + 5*s(g)?\nAnswer: 4*g**3 + 9*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 5. Let j be w(-7). Find the second derivative of 0*a**j + 41*a - 66*a + 35*a - a**2 wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16250*g**3 - g**2 - 6190?\nAnswer: -97500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**5 + 6*d**5 + 376*d**2 - 373*d**2 + (3*d**5 - 2*d**5 + d**5)*(-2 + 1 - 1) + d**5 + 4*d**5 - 3*d**5.\nAnswer: -d**5 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 - c + c**2 + 137)*(-c + 3*c + 2 - c).\nAnswer: c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 45475 - 4805 = 0. Suppose 3*a - 5*j + d + 1365 = 0, -a + 5*j - 3255 = 0. Is a\/(-17) + 6\/51 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 7\/12*o**4 + 0*o**3 + 0*o**2 + 0 + 4*o. Let z(i) = -i. Give m(z(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157.3 and 43584.\nAnswer: -6855763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-468 + 458 + 1115 + 2*y**4)*(-y + y + 2*y).\nAnswer: 4*y**5 + 2210*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 40*x - 9114 = -8298 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w + 8*w**4 - 4*w**4 - 2 - w**4 + w**3 in the form y*w**2 + o*w + u*w**4 + k + i*w**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 1107 + 1107.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 17 - 34*f**3 - 14 + 721*f**2 - 728*f**2. Let b(m) = m**3 + m**2 + m - 1. Let h(x) = -3*b(x) - i(x). What is the third derivative of h(q) wrt q?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 2*g + 1. Let p be u(2). Let r = 56 + p. Solve 4*x - 5*b - 16 = -r, 0 = -4*x - 4*b + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 20)*(-44 - 82 + 2*t - 4*t + 1)*(-t - t**2 + t).\nAnswer: -40*t**3 - 2500*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-4) + 1\/4. Let n = a - 0. Suppose p - n*s + 35 = 2*p, -5*s - 5 = 0. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(500) + (3 + 2*sqrt(5) - (sqrt(45) + 5)) + -5.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 2, p: 4}. Give prob of sequence sp.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4479 and 117981?\nAnswer: 176145633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4950268269.340065 - 4950300516. Let d = u + 32247. Let r = d + -0.34. What is r rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) -221 (c) 3.3 (d) -1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 2*s**3 + s**3 + s**3 - 5*s**3 + 3*s**3 + (5*s**2 - 2*s**2 - s**2)*(-4*s + s - s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031*p + 24 = -511*p - 514*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.996 plus 3996?\nAnswer: 3988.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 512 or 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553860 is divided by 1276926.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*z**3 - 2940*i**3 - i**2*z**3 + 3*i*z**3 + 3*i*z**2 - 42*i wrt i?\nAnswer: 12*i*z**3 - 17640*i - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/(q\/(q**6\/q)))\/(q\/(q*q*q*q**(-2)\/q))**(-1)*(q**2)**30\/(q*(q\/(q**7\/q*q))\/q*q*q**(1\/13)) assuming q is positive.\nAnswer: q**(857\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hizme. What is prob of sequence ih?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14408, -29127, -44152, -59483, -75120, -91063?\nAnswer: -107312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3666 at most as big as -76.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -1 + (-2 + sqrt(19) + sqrt(19))**2 - (-2 + sqrt(1216)) - ((sqrt(228)*3)\/sqrt(6))\/sqrt(2).\nAnswer: -18*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6583938.\nAnswer: 2, 3, 1097323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 - 7*c**2 - 13*c - 9. Let v be g(7). Let j = v + -417. Which is smaller: -173 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4610, 5, -455, 3\/8, 1\/5 in increasing order.\nAnswer: -4610, -455, 1\/5, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38440012.\nAnswer: 2, 13, 103, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2761240471.400000485 - 2761240497. Let f = 25.6 + p. What is f rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/20 - 7*g**4\/12 - g**3 + g**2 + 2*g. Let b be v(-6). Suppose k - 5*k = 16. Sort k, 5, b in descending order.\nAnswer: 5, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.778 + 0.222. Let g = 3\/206 + -445\/2266. Which is the third smallest value? (a) -3 (b) s (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23918254, -47836513, -71754772, -95673031, -119591290?\n\"Answer: -23918259*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-600)*48)\/((-28)\/(-20))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:10 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112.7 - 118. Let s = 5.2999998 + q. Round s to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 39*o - 72. Let v be r(2). Solve -2*c - v*b - 12 = -4*c, 2*c + 3*b = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 9. Let r(t) = 10. Let c(m) = -4*o(m) + 3*r(m). Calculate the remainder when 29 is divided by c(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from jeeexerojjo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 18, -2, 4 in ascending order.\nAnswer: -5, -2, 1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 m when three letters picked without replacement from {m: 1, k: 4, s: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46\/5 + 44\/5. Let f = 0.12 - 3.12. Which is the biggest value? (a) y (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82642309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*q - 468 - 342 + 36 = 0 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*m**2 + 2 + 31*m + 40*m - 87*m - m**3 - 41*m**4 + 26*m**2 + 0*m**3 as k + p*m**4 + b*m + x*m**3 + a*m**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 231840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(2\/29) - -1.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**6\/30 + c**2\/2 - 3*c - 4. Let v(x) be the first derivative of y(x). What is the first derivative of v(l) wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 18*d - 2. Let b be 9\/(-4) + 2\/8. Let a(s) = -234*s + 27. Let m(p) = b*a(p) - 27*k(p). Let y(j) = j**2. Calculate m(y(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + j**4 + j**4 + 38 + 0*j + 2*j**2 to s*j**3 + q*j + a + b*j**4 + c*j**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.4 (b) 0 (c) 21 (d) -171 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -10. Let k = -49 + 48. Sort k, -3\/7, d in increasing order.\nAnswer: k, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8481365111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q + q**5 + (-2*q**2 + 5*q**2 - 2*q**2)*(0 + 0 + q**3) + 2*q**5 - 2*q**5 - q**5 - 24*q**5 + 60*q**5 + 4 - 4.\nAnswer: 37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxqqqxddrdxdxrxd. Give prob of picking 1 q, 1 x, 1 d, and 1 r.\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665979 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h - 2*h + (5*h - 3*h - h)*(3 - 2 - 3) + (2 - 9 + 6)*(157 - 157 + 5*h)*(27 + 2 - 3).\nAnswer: -134*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -296.6788 + -26.7446. Let p = 4.9466 - u. Let x = p + -327. Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 489 + -472. Suppose -5 - 1 = -x. What is the remainder when b is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:09 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738484 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23962696.\nAnswer: 2, 41, 43, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 6. Let s be h(-6). Let u = -37 + 25. Let w be u\/(-8) - 18\/(-4). Solve s*i - 3*i + w = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*g, 12 = -5*r - g. Let l be (r\/9)\/((-1)\/(-3)). Suppose 5*m = 5 + 25. Are l and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + -1627?\nAnswer: -1646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from gjjggkgggg?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**7\/560 - q**6\/72 - 3*q**5\/80 - q**4\/24 - 3*q**3\/2 + 4*q**2. Let o(s) be the first derivative of f(s). Factor o(l).\nAnswer: -(l + 1)*(l + 2)*(3*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 494 = -224. What is the greatest common factor of 225 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4756, 7400, 11796, 17938, 25820, 35436?\n\"Answer: -j**3 + 882*j**2 + 5*j + 3870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 160 = -7*p. Sort 1, p, -526, -4 in decreasing order.\nAnswer: p, 1, -4, -526","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -4, -6 in descending order.\nAnswer: 5, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -8, -3\/7, 5 in increasing order.\nAnswer: -8, -3\/7, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4 - 30*q**3 - 40*q**2 + 30*q + 35 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6384, -6405, -6426?\n\"Answer: -21*d - 6363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 1069. Let h(t) = 366*t. Determine h(c(g)).\nAnswer: -1464*g + 391254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from enjngezeeebzn?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20759 + -20757. Let l(d) be the third derivative of 0*d - 7\/8*d**4 + 7*d**b + 0 - 5\/3*d**3. What is the derivative of l(n) wrt n?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26140671.\nAnswer: 3, 968173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.41 + 3. Let m = -0.5909 + 0.3809. Let k = p - m. Are -37 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 25. Let r(m) = -6. Suppose 0*a + 2*a = 4. Let c(p) = a*h(p) - 9*r(p). What is c(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 17639*d**2 - 17639*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38141591 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/(2\/8). Let h = -27 - -26. Put y, h, 3 in descending order.\nAnswer: 3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 161. What is y(3)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8100451128217 + -0.5.\nAnswer: -1.3100451128217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r + 48*r - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 21. Suppose 12*t = 5*t + 154. Calculate the greatest common divisor of g and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 104373 = -28*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*l**5 + 2582028*l**4 - 2*l**2 + 561475*l - 2 wrt l?\nAnswer: 1260*l**2 + 61968672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(1 + 1 - 3). Let q(z) be the second derivative of -2\/135*z**6 + 1\/63*z**7 - 2*z + 1\/27*z**4 + 0*z**3 + 0*z**2 + d - 1\/30*z**5. Solve q(r) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*i + 235, i - 4*w - 100 = 3*i. Let v = i + 94. Let f be 44\/(-6)*(-4896)\/528. Calculate the greatest common factor of v and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 80*m - 395. What is u(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22211111010 (base 3) in base 9?\nAnswer: 284433","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.2 and 11612?\nAnswer: 48770.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - sqrt(252)*-1*-4) + sqrt(252) + sqrt(252) + sqrt(252))\/(sqrt(36)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -23 (b) 0.9 (c) 32 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) 1 (c) -585\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32343 (base 5) to base 13\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -2515608.\nAnswer: 11\/2515608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 6*q**2 - 6*q + 7. Let p be t(-7). Suppose p*b = -5*b. Let d = -18 - -13. What is the nearest to b in 3\/5, 1, d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 26 = -125. Let i = v - -13. Which is smaller: 6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*o - 2 + 0 + (-1 + 2 - 3)*(2*o + 0*o + 6*o) + 4*o - 64*o - 3*o.\nAnswer: -77*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45500 and 28?\nAnswer: 45500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 27*h = -20. Is (0 - -10)\/h - -81 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izpp when four letters picked without replacement from {z: 2, i: 1, p: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 36. Let r(z) = -2*z + 36. Let n(p) = 2*r(p) + 3*t(p). Let q be n(22). What is the second derivative of -5*y**3 - 4*y**3 + 19*y - q*y**3 wrt y?\nAnswer: -102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38840 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: Calculate the highest common factor of 296 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8616629\/4 or -2154156?\nAnswer: -2154156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -1, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*b + 4392 = 5164 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -1 + (279 + -400 - -168)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.57 + -2.99. Let h = y + -1.64. Let c = -17 - h. What is c rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 + -51?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 22240.\nAnswer: -244640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/5 - 1656\/(-10). Suppose 125 = 3*a - u, -s = -4*a + 3*u - 0*u. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 - 142*m**3 - 1256*m**2 - 728*m + 7584 = 0.\nAnswer: -6, -4, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 6. Suppose -2*s - 3*a = -2*a - 9, 24 = 3*s - 2*a. Calculate the smallest common multiple of (-2)\/(-4) - s\/(-4) and x(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1511740 and 25?\nAnswer: 7558700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 126 = -229. What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16085 + -482701\/30. Calculate the common denominator of 74\/3 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*l**3 - 39 + 39.\nAnswer: 111*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 8 - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2. Let x(b) = -3*b + 3*b - 344*b**2 + 369*b**2. Calculate x(a(k)).\nAnswer: 225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 18. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - g = 660 - 647, 102*g + 724 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2498, -5002, -7506, -10010, -12514, -15018?\nAnswer: -17522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(17*z + 8*z + 27*z)*(-z**4 - 4*z + 4*z) + (2*z**3 - 4*z**3 + 4*z**3)*(3*z**2 - 2*z**2 + 0*z**2).\nAnswer: -50*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**6\/30 + q**5\/25 - 8. Factor o(v).\nAnswer: v**4*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 8. Let g(b) = -11472932*b**2. Give m(g(k)).\nAnswer: -394884506029872*k**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.67.\nAnswer: -0.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u = 65*u - 56*u + 61*u + 2688 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:44 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/6)\/(2\/36). Let c = d - 2. Suppose -4*h = 3 - 19. Solve -2*a + 2*s = h, -c*a + 0*a - 8 = -s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 68 = -8. Factor -5 + 25*x + 7*x**2 - l - 30*x + 7.\nAnswer: (x - 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1036 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 322*m + 2743. What is r(-43)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2375 + 14658 = -3579*f + 2676*f - 359 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - 131. Let a be ((-2)\/6)\/(6 + 1519\/u). Suppose -59 = -a*j + 433. Calculate the remainder when j is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 4 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/23)\/(k\/k**(-18))*(k**5)**(-3\/19) assuming k is positive.\nAnswer: k**(-8591\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 14*b + 20 = 12*b, 2*b = -5*i + 20. Suppose -k - 172 = -y - 48, i*y - 492 = 2*k. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-4\/5)*o)**11*o**(-19)\/(o\/o**(-10\/11)))**(-1\/2) assuming o is positive.\nAnswer: o**(212\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115673970.\nAnswer: 2, 3, 5, 3855799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 6, -3*s + 17 + 10 = 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 29. Let l(y) = 552889*y**2. Give u(l(f)).\nAnswer: -2764445*f**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -i. Let h = -7 + i. What is the first derivative of -h*w**3 + 8*w**3 + 3 - 2*w**3 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2185 times -3\nAnswer: -6555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 6*i - 4. Let s = -9 + 14. Calculate x(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082 times -0.735?\nAnswer: -0.06027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 18*r**2 - 6*r - 13. What is the units digit of k(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**5\/20 + p**3\/3 - p**2. Let i = -23 - -12. Let s(d) = 8*d**2 + d + 6. Let j(n) = i*k(n) + 4*s(n). Determine j(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, -0.1, -3\/5, 2\/13, 34\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -51*y + 1. Let d be g(-1). Let m be (d\/14)\/((-10)\/(-70)). Let r be -4 + 1 + m + 2. What is the highest common divisor of r and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327351887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Suppose 5*s = d - 3, -3*s - d - 1 = -x. Is -3\/7 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-335)\/(-268))\/(10\/16)*81\/1242.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Suppose 0*i - 56 = -k*i. Suppose 2*h = -b + 18 + 125, -3*h - 7*b + 231 = 0. Calculate the highest common divisor of i and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1368 and -89\/54?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5\/4)*a)\/((a*a**(-1\/4)\/a)\/a))\/(a**1)**(-25\/3) assuming a is positive.\nAnswer: a**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 227675395 and 295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2180733\/8 - 278265. Let u = w - -5661. Let b = 25\/9 + -446\/99. Calculate the common denominator of u and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 1, q: 6, b: 3, n: 2}. What is prob of picking 2 n and 2 b?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*v**2)*(-136*v - 51 + 116*v + 38) + 0 - 4*v**3 + 0 as u + x*v**3 + j*v + w*v**2 and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6202433*u**2 - 4703417.\nAnswer: -12404866*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofvn. Give prob of picking 1 o, 1 v, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 2*b + 2*b**3 + 8*b + 16*b + b**2 as x*b**3 + f*b**2 + g + k*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 635.6357l?\nAnswer: 635635.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 55686*m + 612568. Calculate v(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + x**2 - 2*x**2 + (x + 0*x - 2*x)*(-2*x - 3*x + 6*x) + (4*x**2 + x**2 - 3*x**2)*(0 - 1 - 1) to the form l + u*x**2 + b*x and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.33 - 0.00147.\nAnswer: 0.32853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64703 by 89.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 - 86*u - 39. Let b be z(-21). Solve h - 3*k = 20, 7*h + 40 = 12*h - b*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 4 + 4 + 9*h + 7 - 4*h. Suppose -60 = 6*u - 18. What is the remainder when p(u) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2576*v + 2539*v + 148 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3 - 32) + 3)*-1 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10254*a*g**3 - 28825*a - 2*g wrt g.\nAnswer: 30762*a*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*u + 4 = c, 3*c - u + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 215, 181, 113, -1, -173, -415?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -870.564354851 and -0.1.\nAnswer: -870.664354851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 8. Let y be w\/(-7) + (-6)\/21. Does 10 divide (-1 - -4) + 12*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 4*y + 5. Let q(u) = 264*u + 1060. Let w be q(-4). Let t(z) = z**2 + z - 1. What is w*t(j) + h(j)?\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23824 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*n - 784 = 457, m - 3*n = 241. Calculate the lowest common multiple of m and 450.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1866582 - 1840*z - 1866582.\nAnswer: -1840*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35578, -71150, -106718, -142282, -177842?\nAnswer: -213398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -21*u**4\/4 - u**2\/2 + 3. List the prime factors of t(-1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-35) - 64\/(-10). Let i be d\/(-4)*(2 + -4). Suppose 4*h - 9 = i. Are 4 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 7. Let k be n(3). Let l be (-6)\/6*(-3 + k). Calculate the greatest common divisor of 35 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2. Let x(a) be the third derivative of a**5\/20 - 13*a**3\/3 + 50*a**2. Let t(p) be the first derivative of x(p). Determine l(t(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202000000100122 + 0?\nAnswer: 202000000100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.94 - 18.\nAnswer: -17.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4*80\/(-24) - 2. Let t = j - 20\/3. What is the closest to 1\/2 in t, -9, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 3*u - 22, 3*x - 297*u - 12 = -298*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6966199 days?\nAnswer: 60187959.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83\/315 - -1\/45. What is the second smallest value in b, 2, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*l - 19 = 1, -a + 25 = -5*l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1\/3715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -180669 at most as big as -180669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + (8 - 10) - 10\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18405817.0000014 - 18405819. Let i = k + 2. Round i to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/7 - 306*b**3\/7 - 3672*b**2\/7 - 6414*b\/7 - 3051\/7 = 0.\nAnswer: -9, -1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 + -108. Let b = u - 25. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -613.203.\nAnswer: 1226.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/6*(-257577)\/41063.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140213 (base 5) in base 3?\nAnswer: 21210111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l + 327. Calculate s(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 3 = -19. Suppose 4*t - b*f = 3437 + 6037, 11830 = 5*t - 5*f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*i - 382, -2*f - i = 3*i - 194. Let c = -83 + f. Suppose -20*x = -16*x - c. Solve -g - x = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 6*f + 4. Suppose -10*l - 68 = -14*l. Let c(o) = 3*o**3 + 17*o + 11. Suppose -n - 12 = n. Calculate l*i(r) + n*c(r).\nAnswer: -r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -14*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8503 (base 9) in base 13?\nAnswer: -2ac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*l - 3927600 = -3922821 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2730 + -2734. Sort -10, 15, i, -2.\nAnswer: -10, i, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689694 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 0)\/(-2 - (-473)\/(-86))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/9 - 868*u**3\/9 - 61192*u**2\/9 - 1041788*u\/9 - 575718 = 0.\nAnswer: -351, -61, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -178?\nAnswer: -7\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -15, -m + 25 = -0*m + 4*i. Let f = -2 + 7. Suppose -5*n - 3*v + 19 = -0*n, -3*n + f = m*v. What is the least common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19\/2 - -9. Let p = 0 + -0.4. What is the biggest value in s, p, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-32)\/u)\/(u\/((u\/(u\/u**(-5)*u))\/u)) assuming u is positive.\nAnswer: u**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*k)*(4 + 3 - 6) - k + 5*k - 5*k + (-4 + 2 + 0)*(1188 - 19*k - 1188) in the form f*k + r and give f.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -3 (b) 0.5 (c) 2\/5 (d) 26\/29 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 w when three letters picked without replacement from {a: 1, w: 2, o: 1, j: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*r + 173 = 0, 3*i - 3*r + 562 = 7. Let o be 216\/i + (-1 - -2). Which is the second smallest value? (a) o (b) 1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 408 + -407. Is s bigger than 1\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4783, 38933, 131631, 312151, 609767, 1053753?\n\"Answer: 4879*a**3 - 3*a - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115 - -117. Suppose g - 3*g + 7758 = -s, 0 = -p*s - 8. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -15*v - 2. Let z(x) = -x**3 - x**2 - 2*x - 2. Is z(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.71 + -3.71. Which is the nearest to 2\/9? (a) -0.2 (b) l (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327 - -331. Calculate the lowest common multiple of l and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - -20) + 62 + 2 + 12.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 17*n + 6*n + 7*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -265*w**2 - 130*w - 1963*w**4 + 662*w**4 - 140*w**3 + 658*w**4 + 638*w**4 = 0.\nAnswer: -26, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1, o: 1, f: 2}. What is prob of picking 1 o and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*y**3 + 102*y**3 - 76*y**3)*((2 + 0 + 0)*(3 + 3 - 5) - 2 + 4 - 1).\nAnswer: -57*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n**4 - 7. Let z(u) be the second derivative of 4*u**6\/15 - 3*u**2 + u. Let c(q) = -2*k(q) + 3*z(q). Find the first derivative of c(o) wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -51*s**2 - 21*s - 5. Let a(d) = -10*d**2 - 4*d - 1. Determine 11*a(l) - 2*o(l).\nAnswer: -8*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 18. What is the highest common divisor of x and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560044861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 831191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-4)*u))\/u)\/u)**32 assuming u is positive.\nAnswer: u**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2770, -5524, -8280, -11038, -13798, -16560, -19324?\n\"Answer: -y**2 - 2751*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430300144 + 103?\nAnswer: 430300302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 195*p**2 - 1194*p + 1392.\nAnswer: -3*(p - 1)*(p + 8)*(p + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**3 + 2*u + 1. Let z be x(-1). Suppose 0 = 2*j - 4*j + 2*a - z, 3*a = j + 13. What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 - -288. Let m = -32 + 19. Let u = m + 18. What is the third smallest value in 1\/8, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2385 + 3 + (-20)\/4. Suppose 6*c = 2130 + p. Is c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -26 - 2\/3*s**3 - 2\/5*s**2 + 11\/60*s**4 - s. Suppose g(o) = 0. What is o?\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0, 2, 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1930377 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -139*l**7\/70 - l**4\/12 + 9*l**3 - 7*l**2 - 102. What is the second derivative of n(b) wrt b?\nAnswer: -5004*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n, -4*x + 5 = -3*n - 15. Suppose 3*d**3 + 5*d**4 + 0*d + 9*d**2 + 1 - x*d + d**2 - 13*d**3 - d**5 = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1803, 7020, 15711, 27876, 43515, 62628?\nAnswer: 85215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/31 (b) -2 (c) -0.2 (d) 3\/41 (e) 2\/3 (f) -731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*b, 5*g - 24 = 4*g - 5*b. Let c(s) = -s**2 + 7*s + 1. Give c(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 12, 3\/140, -2\/3, 1 in ascending order.\nAnswer: -2\/3, -0.3, 3\/140, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48\/57695 or -1?\nAnswer: 48\/57695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8943.35 centimeters to meters.\nAnswer: 89.4335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*k**3 + 2036*k**2 - 2036*k**2.\nAnswer: 90*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19606 + 6)\/((-903)\/(-450) + -2). What is h rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.3 and 1?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*q = -215840, -2*q + 3*q = -4*f - 172682. Round f to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/6, -5, 1, -1\/16 in ascending order.\nAnswer: -5, -4, -1\/6, -1\/16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -76316470 + -3.4?\nAnswer: -76316473.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 7*i**2 + 3*i - 8. Determine m(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 78 + 297 = 0. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579539126 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146471 is divided by 6147?\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 520\/(-18096)*33\/(-55)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l + 8. Let z be ((-3)\/l)\/((-10)\/(-4)). Let d = -1597 + 1597.3. Put -2\/33, d, z in ascending order.\nAnswer: -2\/33, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -25 + 10 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -29.856. Let i = l - -0.14399897. What is i rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Let i(g) = -31*g**2. Give i(u(f)).\nAnswer: -31*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m**2 - 2*m + 1. Let h be r(1). Suppose 4*w = 5*c + 2 + h, -5*c - 30 = 5*w. Does 15 divide 2\/4 - 298\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -79.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-87)*(-67831)\/(-14034)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 2\/5, -75 in descending order.\nAnswer: 4, 2\/5, -6, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 8*j = 0. Suppose 3*a = -12, -5*t + 2*a + 193 = -j*a. Let b = 2 + t. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 9) to base 2\nAnswer: -1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 8*t - 35. Let l be k(4). Calculate the highest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 12) in base 6?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(1 + sqrt(1008) + (sqrt(7) - (sqrt(7) + sqrt(7) + sqrt(28)))*6)*-4)**2.\nAnswer: -110592*sqrt(7) + 2331648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*z - 26, -3*i + 5*z + 26 = -0*z. Suppose 0 = -i*w + 22 + 20. Suppose 4 - 100 = -w*m. Calculate the remainder when 79 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9868 + -1?\nAnswer: -9869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a1 + 42899a?\nAnswer: 4286a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -50, 1\/2, -8, -57\/2, 3\/4, 1?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40839600 rounded to the nearest ten thousand?\nAnswer: -40840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 3798634 + 1331366. What is z rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*z = 141*z + 915. Suppose -z = -3*o + 2995. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2 + 38153*a - 38154 = 0.\nAnswer: -38154, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -7*y + 42. Calculate q(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4914 is divided by 665.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -125.898, 3, -6\/11, 4?\nAnswer: -125.898","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110110110011 - -111?\nAnswer: 10110110110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959594359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 4*l**3 + 4*l**3)*(-12 + 12 + 2*l) + 0*l**2 - l**4 + 0*l**2.\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*b + 628, -18*k + 20*k - b - 610 = 0. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/18*3\/(-30)*-1 and -43\/7?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q - 7. Suppose -4*o = -3*o. Let i be o\/(0 - (-4)\/(-2)). Let h(g) = -3 + 4 - g + i. Determine 2*f(r) + 14*h(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1121*i + 1173 wrt i.\nAnswer: 1121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 33 = -3*r, 8*r = 12*r - 4*m - 16. Solve -12 = -3*g + r*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7985*-1225\nAnswer: 978.1625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6646*z + 17565*z**3 - 6646*z - 17566*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/(-60) - (-22)\/12. Solve -5 = -2*v + p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.4 - -150.6. Let r = -190.00000606 + l. Round r to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 61*k - 425. Calculate u(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 0 - (59 - 49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - q = 3*q + 3, 5*q + 5 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -159*f**3 + 14*f**2 - 4*f + 4. Let z(m) = 318*m**3 - 25*m**2 + 7*m - 7. Let t(u) = 7*p(u) + 4*z(u). Find the third derivative of t(o) wrt o.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40.7 and 0.1468.\nAnswer: 40.8468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 445791654 a multiple of 2233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + -3. Let t = -11 - f. Which is the third smallest value? (a) -1\/3 (b) 0.09 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.093 smaller than -12176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2 and 33\/62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r - 18 - 406 - 206 = 0 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 19 = -3*c, -3*b - b + 36 = -2*c. Let n(t) = -1 + b + 5*t**2 + 3*t + t**3 - 2. Give n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*n - 21702, -5*v - 2*n + 13648 + 13476 = 0. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 3*q**5\/5 + 27*q**4\/4 - 36*q**3 + 6*q**2 + 144*q + 483. Solve m(n) = 0 for n.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90289 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67\/817 - -1\/43. What is the closest to 17 in -4, -0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + r + 8 + 17, -4*o + 5*r + 65 = 0. Solve -4*c = c - o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 2. Suppose -30*p + 19*p + 3003 = 0. Let k = p + -3563\/13. Is k greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5059209190 to the nearest integer?\nAnswer: 71128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -0*h - h - 11, 3*h = o - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -104, -144, -190, -242, -300?\n\"Answer: -3*k**2 - 31*k - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8028 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1243 - 28715\/156618. Calculate the common denominator of t and 93\/532.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 731*f*j + 40724*f wrt j?\nAnswer: 731*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 + -147. Let k = 139\/3 + -47. What is the nearest to -1\/3 in d, k, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14665.325 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48112*y**2 - 15981*y**2 - 16071*y**2 - 16069*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -167403252 divided by -201\nAnswer: 832852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let q be (2 - 1)*(2 - -1). Let y(u) be the third derivative of 0 + 1\/20*u**5 + 0*u - 3*u**2 + 0*u**q + 0*u**4. What is y(b(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -145, -206, -317, -496, -761, -1130, -1621, -2252?\n\"Answer: -3*t**3 - 7*t**2 - 19*t - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14e6 (base 15) in base 12?\nAnswer: -2723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 = 6. Suppose -z*g - 2*h + 2 = 0, 7 = g - h + 2. Find m, given that 3 + m + 7*m**2 + 2*m**g + 3*m**3 + 7*m + m = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83808110333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*y - 91*y - 106*y - 102*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (3 - 0) - -2. Solve 2*b + b + 9 = z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18 - 5*q + 9*q - 6*q - 14. Suppose -4*o = 39 + 5. Let n(b) be the third derivative of -3*b**4\/8 + 7*b**3\/2 - 2*b**2. Give o*t(k) + 2*n(k).\nAnswer: 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {z: 9, a: 10}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by 77\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-469)\/(-91) + -1 - 4\/26. Let s(p) be the first derivative of 0*p**x - 1\/5*p - 2 + 0*p**2 - 1\/25*p**5 + 2\/15*p**3. Determine l, given that s(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 8\/5*z**2 + 1\/105*z**7 - 134*z - 26\/15*z**3 + 0 + 29\/30*z**4 - 1\/75*z**6 - 11\/50*z**5. Factor g(h).\nAnswer: 2*(h - 2)*(h - 1)**3*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8856 (base 9) to base 6\nAnswer: 50123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (2 + -10 + -1 + 57 + -48 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44 + 10)*(13 - 14). Let b(h) = 2*h**3 - h**2. Let x be b(4). Let r = x + u. What is the remainder when r is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c + 9. Suppose 0 = q + o - 1, 3*o + o = 4*q - 28. Let w be r(q). Solve 2*j = 7 + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041401633 rounded to 4 dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3815406 and 39\/1132?\nAnswer: 7630812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 1344461?\nAnswer: -1344463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + c**2 - 2)*(1029*c - 1922*c - 1254*c - 265*c) in the form v + z*c**2 + k*c + h*c**3 and give h.\nAnswer: -2412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 8:03 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Suppose o + 6 = f*o. Is 5\/3 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - w**2 + 22*w**4 - 30*w**4 - 9 - 4*w**3 + 6*w**4 + 12*w to the form g*w**4 + o*w**3 + p*w**2 + t*w + q and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 647 + -753. Is -100 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2798388.9 - -2798389.29999978. Let p = -0.4 + y. What is p rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/15 + 37718*z**2\/15 - 14813264*z + 27919429320 = 0. Calculate z.\nAnswer: 4710, 9439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 0*h)*(0 + 2*h + 0) + (0*h - 2*h + 0*h)*(-2*h + 2*h + h) + 1 - 1 - 2*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -46. Suppose -7 = -4*q + 5. Suppose -2*a - q*k = -175, 4*k = y*a + 2*a - 300. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2, 2\/5 in increasing order.\nAnswer: -2, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 828\/7 + -118. Let m = -375911\/939790 - 1\/187958. Put m, -2, 0.4, z in increasing order.\nAnswer: -2, m, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - -1 - 1*-4. Suppose 0*r + a = -r. Let n(d) = 2*d**2 + 1. Is n(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(128) + -1 + -3 + 1 + 2 + sqrt(128) + (sqrt(128) + 0 + sqrt(128) + 2 - (-2 + sqrt(128) + -5)))**2)*2.\nAnswer: 768*sqrt(2) + 2442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-28))**(-7) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12411 and 161343?\nAnswer: 161343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4 - 28. Let y(p) = p**3 + 7*p**2 - 6*p - 2. Let h(u) = u**3 + 6*u**2 - 5*u - 2. Let v be (-40)\/(-56)*(-3 + 10). Give b*h(x) + v*y(x).\nAnswer: -x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:00 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -4*u + 2*j, 9 - 48 = 3*u - j. Let d(t) = 2*t**3 + 25*t**2 + 9*t - 33. Let k be d(u). Solve 15\/8*h + 0 - 9\/4*h**2 + 3\/8*h**k = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*a - 4, 4*l - 3*a = 5*l - 22. Let b be (-2 - 50\/(-5)) + l. Calculate the greatest common factor of 1035 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 12*j**2 + 1. Let m(b) = b + 11. Let i be m(5). Let h(l) = -18 - i - 2*l + 34. What is h(t(q))?\nAnswer: -24*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4586451313\/747 + 6139829. Let d = m + 42\/83. What is the common denominator of -143\/48 and d?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4406.6596 - -4408. What is k rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s)**(-1)*(s*s*s\/((s\/s**(2\/3))\/s)*s)**(-5) assuming s is positive.\nAnswer: s**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 52221770 to the nearest one hundred thousand.\nAnswer: 52200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 813811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40986207959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 y when three letters picked without replacement from {x: 2, y: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1963d + -ca?\nAnswer: 19553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 37 = 5*z. Let w be (-2)\/9 - (-1734)\/27. Let y = z + w. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39898 and 32.\nAnswer: 638368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 480*j - 545*j - 130 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(3 - 1 - (-420)\/6). Let r = -76 - n. Let x be 2\/r*-2*13. Calculate the greatest common factor of x and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47624 is divided by 1754.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + 2*(sqrt(147) + 1 - sqrt(147)) + 0 + 4)*-5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 113*c**2 - 3*c**3 - 111*c**2 + c**3 + 2*c + 7*c**4 to the form w*c**4 + h*c**2 + o*c + n*c**3 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 828*q**2 - 46*q**2 + 431*q**2 to the form g*q**2 + y + a*q and give g.\nAnswer: 1213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 117044 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 3*d + 2. Let j(g) = -g**2 + 2*g - 1. Let v(y) = y**3 - 41*y**2 - 56*y + 584. Let a be v(42). What is a*j(c) - 3*o(c)?\nAnswer: -2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 60. Let k(f) = 2091*f - 5475. Let s(v) = k(v) - 2*u(v). Differentiate s(l) wrt l.\nAnswer: 2089","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2. Let p(u) = -69*u + 12. Let r(j) = 28*j - 5. Let h(i) = 5*p(i) + 12*r(i). Calculate h(z(q)).\nAnswer: -117*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103\/682 + 22181\/1023. Let a be 0 + (2\/525)\/1. Let o = 569\/11550 - a. Find the common denominator of o and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23373 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.32913 times -0.15\nAnswer: -0.0493695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 369.02 - -4.98. Let q = 344 - g. Which is the smallest value? (a) -2 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from eoooooooeoooo?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 1644854, -1 in decreasing order.\nAnswer: 1644854, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6103 + -1850. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 1 = 4*i, 5*i + 5 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28238? (a) -12 (b) 8 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320*d + 16720 = -21025 - 41472 + 23777 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 10*s - 11. Let p be q(9). Does 11 divide 2 + p - (-188 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*p*w + 16*b + 145*p**2 + 7*w wrt p?\nAnswer: b*w + 290*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258 - 188 - 185 - 30*v to the form i + g*v and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = -4*o, 535*z - 4*o + 4 = 537*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 62 + -2. Let w be ((-3)\/(-2))\/(9\/j). Solve -30 = 4*g - w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 11*o + 8. Suppose 0 = 5*f + 14*f - 190. Determine d(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249*b**3 - 6*b + 7?\nAnswer: -1494*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**6\/60 - i**5\/30 + i**4\/24 + i**3\/3 - i**2. Let u be x(-3). Let n = u + -21. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1088) + 0 + sqrt(1088) + 0 - sqrt(1088)))**2.\nAnswer: 80*sqrt(17) + 1113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1336 + -1473?\nAnswer: -2820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + -1*sqrt(2736))*3 + (sqrt(2736) + 0)*6 + 4 + -4.\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - p = -14 + 5, 2*p - 371 = -20*l - 293 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 39 = -5*b, 0 = -2*f - 2*b + 90 - 84 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j + 3*j - 8*j. Let z(x) be the second derivative of 2*x**3\/3 - 661*x - 7. What is z(r(t))?\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 9*f**2 - 14*f - 2. Let h = 391 + -241. Suppose h*m = 153*m - 21. Calculate g(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*n + 5*h, -h - 18 = -4*n + 1. Suppose n*w + 85 = 5*s + w, -3*w = -s + 19. Suppose i + i = s. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 0. Suppose -6*a + 3*a + 18 = 3*b, 2*a = 5*b - 23. Suppose -5*z + w + l*w = -65, -b*z + 65 = 4*w. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011201 (base 3) to base 2\nAnswer: -1101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -537*r + 1087. Let m be i(2). Suppose 7 = -4*c - 1. Put c, 0, m, 1 in ascending order.\nAnswer: c, 0, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64.6 + -55. Let j = 3.6 - s. Let n = j - -1. Which is the second smallest value? (a) 1\/4 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/((-60)\/(-9)))\/(30\/(-80)). Sort 21, -48, u in decreasing order.\nAnswer: 21, u, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(192).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 707 divide 3367293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23017 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -186. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 2*a - 22. Let n be ((-1)\/1)\/(a\/21). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7. Let l be ((1 + 0)*1)\/u. Let i be 3 - l*(-5 + 3). Solve -i*x + 0*x = -10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - o - 10, 7 = m - 3*o + 1. Let b = m - 13. Let y be 12 - (-1 - 1\/b). What is the greatest common factor of y and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -17*b**4 - 6*b - 14. Let z(r) = 35*r**4 + 13*r + 29. Let k = -86 + 80. Let s(m) = k*z(m) - 13*d(m). Find the first derivative of s(v) wrt v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2406395412 rounded to three dps?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 15*g = 16*g + 2, 4*x - 6*g - 8 = -4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 17*i - 99 = 0. Let y(g) = g**2 - 2*g - 3. Let p be -1*(-6 - (1 - 3)). What is the lowest common multiple of y(p) and i?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51.99999927 - -52. Round x to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 32. Let i = -0.1 - -5.1. What is the closest to o in 4, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(96)\/(-1*sqrt(968)))\/(4*(sqrt(48)*2)\/sqrt(8)*6).\nAnswer: sqrt(2)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c**2 - 8. Let m(r) = 1. Let d = -30 - -29. Suppose -11*a = 4*s - 13*a + 22, -5*s - 35 = -a. Calculate d*o(x) + s*m(x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 40*o. Let b(p) = 13*p. Calculate -8*b(c) + 3*v(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 4902*i - 9808.\nAnswer: (i - 2)*(i + 4904)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 11*d + 60. Let j be w(-6). Solve -j = 3*y - 9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/(-23715)*85)\/(((-1)\/(-36))\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v**3 + v)*(188 + 155 - 338 + 54*v - 5*v**2).\nAnswer: 15*v**5 - 162*v**4 - 15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6308 and 5244?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*y - 1408 = 4208. What is the highest common divisor of y and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from {j: 3, w: 4, c: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350.800006937 + 350.8. What is k rounded to 7 dps?\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 2.21, 26, -0.3 in descending order.\nAnswer: 26, 2.21, -0.3, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/20 + 1146\/(-1476). Is z equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (5 + -10 + (4 - -4) - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 11)*(2*d - 3*d + 3*d)*(115 - 117 + 55).\nAnswer: 1802*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5813 - -0.5113. Let h = 3.91 - -0.09. Let z = h - 3. Which is the closest to m? (a) z (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1268.45 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 8. Let j be o(6). Suppose -3*d - 3 = -27. Let b = j + d. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzczmylizzizmymzm. Give prob of sequence cmzl.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -835 - -838. Solve -2*p - 32 = q*p - 3*j, -3*p - 16 = -j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -849 = 5*n - 829. Put n, 61, 7, -1 in ascending order.\nAnswer: n, -1, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1037, 1017, 997?\n\"Answer: -20*n + 1057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9805 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 14 - (-30 - -34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q + 82*q + 42*q - 13. List the prime factors of r(2).\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197 - -224. Find the second derivative of 2*p - 60 + 69*p**2 + 27 + 3*p + h wrt p.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/8)*o*o**(-2\/11)*o*(o**(-2\/13)*o*o)\/(o**(-1\/3)*o*o) assuming o is positive.\nAnswer: o**(5569\/3432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Suppose -1 = o*m - 13. Solve -1 = m*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**8\/6720 + 7*q**5\/60 + 4*q**2. Let o(r) be the third derivative of v(r). Let n(x) = 3*x. Calculate o(n(l)).\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)*o)\/((o\/o**(-30))\/o))\/(o**(-3\/16)*o*(o*o*o**(1\/4)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-3511\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 80*g + 9. Suppose 4*v - 36 - 8 = 0. Is s(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1654 is divided by 707.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) - (-91535)\/200. Let a = -55037\/120 + q. Find the common denominator of 5\/14 and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5 + 3. Let i(a) = 3*a**2 - 35*a + 26. Let o be i(11). What is the second derivative of -2*j**x + j**o - 71*j + 65*j wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116622109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {e: 6, j: 7, y: 1, z: 5}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2370211 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 650201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 470 - 285. Suppose -j - 5*w + 6 = 0, -j - w = -6*w - 36. Let i = j + t. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 387*g - 716. Let l be o(2). What is the greatest common divisor of 493 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 8. Let n be z(7). Suppose -m = 2*m - n. Solve -m*f + 25 = 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (553\/(-2528)*-16)\/(7\/72)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -38. Suppose -4*w = 2*y - 46, 29 = -r*y + 3*y + 4*w. Find the third derivative of -y*z + 17*z - 16*z**2 + 17*z**5 wrt z.\nAnswer: 1020*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = -4*b, -6*g + 2*g = -b - 11. Let c(l) = -18*l**2 - 3*l + 35*l**g - 15*l**2 + 4*l - 3. Determine c(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 81. Solve 4*s - 14 = -n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 20*k**3 + 103*k**2 + 7*k + 7. Determine d(-5).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9*l = -2*d - 3, 3*d + 3*l = 27. What is the lowest common multiple of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + a**2 - 9*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r + 3*o = -6, -5*o + 56 = 4*r. Let a(u) = -4*u + 42. Let n be a(r). Let t(c) = -c**3 + 6*c**2 + 3. What is t(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3\/7))**31)**(-1\/13) assuming w is positive.\nAnswer: w**(-124\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250135, -250161, -250187, -250213, -250239, -250265?\nAnswer: -250291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32449 and 168017.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -161, -282, -413, -554, -705?\n\"Answer: -5*k**2 - 106*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g**5\/g))\/(g**8\/g))**(-40))**(-28))**(-28\/9) assuming g is positive.\nAnswer: g**(313600\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2167.6 + 2168. Let q = -34.83 + 35. Let j = q + 0.03. Which is the closest to j? (a) 0.05 (b) -1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217639 and 824?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -2)*(-1)\/4 - -66. Suppose 775 = 5*h + c, -244 = -h - 5*c - n. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59505*y + 21656*y - 81618*y.\nAnswer: -119467*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 40369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3225252 milligrams?\nAnswer: 0.0000003225252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6)*3*1)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*z - 5198 = -17918 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -2\/15, -0.2, 1\/2, 51, -5\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 w when four letters picked without replacement from oowwkkkwkowk?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15812294989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Sort -3, u, 0 in ascending order.\nAnswer: -3, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 45552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/5, -2\/5, -2, -34, -3.231 in ascending order.\nAnswer: -34, -3.231, -2, -2\/5, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 39 + (1 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*u - 2*l, 4*u = -3*l + 97 + 101. Let w be 2\/(-5) + u\/15. Suppose 0 = -0*d - w*d + 3. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 73, 67, 59, 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1181*r**4 - 172*r?\nAnswer: -14172*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110371956 is divided by 339.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 38*i**2 - 36*i**2 + 3*i - 3*i - 2. Let d be u(2). Solve -d + 18 = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -3 (b) 4 (c) 7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -22\/13441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -6 + 150\/20)*28\/(-147)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 9. Let o be y(-7). Let k be o\/(-3)*(9 + 0). Let s(p) = k*p - 2*p + 0*p. Let h(q) = q**2. Calculate s(h(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2601 - -31229\/12. Find the common denominator of a and (-1)\/(-2)*(-495)\/(-171).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*o - 4*x = 243*o - 128736, -3*o = -x - 128706. What are the prime factors of o?\nAnswer: 2, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**3 + 4*f**2 + 1. Let b(j) = -2*j + 6*j**3 + 2*j + 5*j**2 + 2. Let r(u) = -4*b(u) + 5*w(u). Calculate r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:36 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 137.879 + -138. Let z = x - -0.891. Let u = z + -0.7699918. What is u rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -472 at most -493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 6670 = 2450. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 2, a: 1, p: 1, g: 1}. Give prob of picking 2 m and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*r + 18, r - 666 = 2*i - 656. Suppose 3*d + o = -8, d - 5*o = -0*d + 24. Put d, 2, i in ascending order.\nAnswer: i, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -31. Let t be 0 + 4 - (-1)\/(-1). Let d(k) = 2*k - y*k + 3*k + t*k. Let l(g) = g. Give d(l(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6390000 rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217479 and 0.3.\nAnswer: -65243.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11904 divided by -32.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/8 - 587*j**2\/4 - 1175*j\/8.\nAnswer: j*(j - 1175)*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3*n - 12 = -4*v, -4*v + 5*n = 3. Let d be v - (-18 + (-2)\/(-2)). Suppose 2*u - 4*y - d = 0, 0 = 3*y + 2 + 1. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147284588 is divided by 1459?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368 = 5*c + 318. Suppose -c = -0*t - 5*t - 5*k, 106 = 3*t - k. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 13*m**2 + 45*m + 664. Let z be x(-8). Sort -1\/5, 3, -1, z, -4\/7 in decreasing order.\nAnswer: 3, -1\/5, -4\/7, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.6 (b) 0.4 (c) 203 (d) 2\/203 (e) 13\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.313mg in kilograms?\nAnswer: 0.000014313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -723. Let w = a - 733. Solve 2*n**w - 20\/11 - 106\/11*n = 0.\nAnswer: -2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 90.1 and 235?\nAnswer: 144.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v + 0 + 27*v + 0.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5 = -5*m, -2*s + m = -1 - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2254993 (base 10) to base 9\nAnswer: 4216237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**3 - 25*o**2 + 11*o. Let m(a) = -3*a**3 - 13*a**2 + 6*a. Give 6*c(k) - 11*m(k).\nAnswer: 3*k**3 - 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6319 or -6317?\nAnswer: -6319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1543931 = -1363*a + 1334*a. Does 69 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20848?\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.8103 rounded to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 2*h**3 + h**3 + 63*h**2 - 3 - 61*h**2 + 5*h**4 to the form j*h**4 + c*h + v*h**2 + f + i*h**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 5*y = -5*k, -j*y - 2 = k - 4. Let c(a) = a**3 - 4*a + y*a - 4 + a + 5*a**2. What is c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2040770793.\nAnswer: 3, 131, 5192801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 958*u**2 - 118080*u + 345596. Let o(a) = -8*a**3 + 3828*a**2 - 472320*a + 1382382. Let m(n) = 9*k(n) - 2*o(n). Solve m(y) = 0.\nAnswer: 3, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21138 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364809 by -1317.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.858 - 6.988. Let o = 0.13 + f. Let z = o + 6.4. Which is the closest to -1? (a) -4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 8*i - 17. Calculate r(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 13*t. Let j be d(-12). Let r = -9 + j. Suppose 3*h - a = r*a + 42, 0 = -2*h + a + 33. What is the lowest common multiple of 14 and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -8 - 10) + 6 + -51 + 1 + 6\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 623242230 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160 - 1?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41584199 and 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**2. Let t(i) = i**2 - i - 1. Let a(s) = -16*s**2 - 33*s + 34*s**2 - 37 + 59*s**2 + 4. Let k(y) = a(y) - 33*t(y). Determine k(p(w)).\nAnswer: 1100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 8.8?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 328888.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/15, 2\/39, 4 in ascending order.\nAnswer: 2\/39, 2\/15, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*sqrt(14)\/sqrt(7).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Let g(b) = 2*b**2 + 3*b - 12. Let x be g(3). Suppose a = -z*a - 4*h + x, a - 5*h = -3. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 184332, 186229, 188126, 190023?\n\"Answer: 1897*h + 182435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 333*d + 339*d - 3*d**2 - 678*d - 12. Let r(s) = -6*s**2 - 11*s - 22. Let x(j) = 6*r(j) - 11*z(j). Let n(h) = 3*h - 28. Calculate n(x(c)).\nAnswer: -9*c**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -748*o**2 + 4*o + 8. Let n be l(4). Let a = n + 7894. Let y = a + 8969. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 14*h = 2930. Suppose 116 = -a + 32. Let s = a + h. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70837.9943973 + 70838. What is w rounded to four decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 5*f - 42 + 7, 5*b = -7*f - 46 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) -16\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 798\/2660*(-110)\/12\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/8*(56\/20)\/(-7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 198 + -197.9999675. What is f rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 1:55 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13396 + -4384. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + h + 28, 3*b + b - 13*h - 1070 = -6*b - 856 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 39. Give a(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 84. Let i(s) = -4*s - 56. Let a(g) = 7*i(g) - 5*p(g). Let o be (-4)\/12*-3*-8. Let m be a(o). Are m and -27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492386913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 652594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 172448923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -143952146.\nAnswer: -143952150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 10*a + 4*a + 5*a.\nAnswer: 25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2638*p - 114785 = 551*p for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 872304 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - (sqrt(60) - sqrt(540)*-1))*-2)\/(-5*(-5*sqrt(1200) - sqrt(1200))).\nAnswer: sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.7307 - 28.7. Round d to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3 - 5*b**2 + 78*b + 37*b + 3*b wrt b?\nAnswer: 36*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**4*h - 10865408*g**3*h + 188*g**2*h - 33*g**2 - 2*g*h + g + 143*h wrt g?\nAnswer: -72*g*h - 65192448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 46526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -234, -251, -264, -273, -278, -279?\n\"Answer: 2*l**2 - 23*l - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 2. Let c(y) = y. Let j be (-6)\/(1*-2) + 1. Suppose -j*u + 2*d - 13 = -u, -5*d = -u. Let w(a) = a - 4. Let t be w(5). Calculate t*f(z) + u*c(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssasgsassssgaarss. Give prob of picking 3 g and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 28 = -4*l, -1 + 9 = 2*m - l. List the prime factors of 195 - (-1 - (0 - m)).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -750923 from -69.\nAnswer: 750854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -11, 588 in ascending order.\nAnswer: -11, -5, 3, 588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138745.4 rounded to the nearest ten thousand?\nAnswer: 4140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 3*f**2 - 15*f. Let c(t) = 63*t**3 + 5*t**2 + t - 4. Let g(m) = 47*m**3 + 4*m**2 + m - 3. Let y(u) = 3*c(u) - 4*g(u). Give w(l) - 3*y(l).\nAnswer: l**3 - 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-336)\/140)\/(5\/25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/20)\/(2\/(-10)). Let w(v) = 0*v**3 - v**3 - v**2 + r + 0*v**2 + 3*v**3. Calculate w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 10*l + 13. Let v be w(-6). Solve -t = 5*f - 1, 0*f = -t - 4*f + v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1074 + -9.0826. Let h = 10.9 + n. Let s = h - 0.01. What is the second biggest value in s, -0.1, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 332977, 332977, 332975, 332965, 332941, 332897, 332827?\n\"Answer: -h**3 + 5*h**2 - 8*h + 332981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3430 (base 5) to base 3.\nAnswer: 200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 238066?\nAnswer: -5237452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(2\/1)*54\/(-405)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 3*i + 1. Let z be f(-2). Let v = -15 + 15. Suppose v = -2*y + 6, -4*a + 3*y + 0*y = -7. Solve a*n - 9 = z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-60)\/357)*23914\/(-83699).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1557 - 1553. Which is the closest to 0? (a) -3\/8 (b) o (c) 2\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 11 + 9. Let z = -4215 + 4215.05. Put z, -2, -0.2, s in decreasing order.\nAnswer: s, z, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 94?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64192, -128337, -192470, -256585, -320676, -384737, -448762, -512745?\nAnswer: -576680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289 - -6644\/23. Let i = n - -32\/69. Which is the third smallest value? (a) i (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -20122210100122?\nAnswer: -20122210100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*t + 10 = 0, -6*t + 5*t + 26 = 3*l. Suppose l*o - 9*o = -3221. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 + 1. Let y(b) = 15*b**2 - 6 + 3 + 2 + 2. Let o(p) = 14*p**2. Let n(m) = 4*o(m) - 3*y(m). Calculate -3*n(a) - 8*t(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1332)\/1665)\/(28\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/52*(-3)\/(2\/(32\/2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13. Let x(r) be the second derivative of 0*r**2 + 1\/10*r**5 - r + 1\/45*r**6 + a + 1\/9*r**3 + 1\/6*r**4. Solve x(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(0*g**2 + 0*g**2 + 2*g**2)*(-19*g + 4*g - 24*g).\nAnswer: 156*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - q + 5. Let z be b(0). Suppose 4*l + 2 = z*l. Solve 2*g - 6 = 2*o, -3*g = l*g - 3*o - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + (2 + 5 - 6) + (-15 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -822.33 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48117 and 1677?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b = -2*z + 44*b - 3290, 3*z + 4949 = -4*b. Is z at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 395175928 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-188 + 206)*(233\/2)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 - 12.9. Let h = i - -10.3. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 185*d**3 + 5*d**2 + 11*d - 22. Let i(n) = 37*n**3 + n**2 + 2*n - 4. Give 11*i(v) - 2*z(v).\nAnswer: 37*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 77 + 22\/5*c**5 + 0*c + 55*c**2 + 0*c**3 + 0*c**4. What is the second derivative of i(q) wrt q?\nAnswer: 264*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -17*w**5\/60 + 7*w**4\/24 - 1986*w**2. Let p(g) = -16*g**2 + 6*g. Let n = -13 + 7. What is n*b(y) + 7*p(y)?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1413929 and -73\/11418?\nAnswer: 8483574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3835*y**2 - 3830*y**2 - 683*y + 15326*y**2 - 3832*y**2 - 3831*y**2 to the form d + b*y + q*y**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1170*l + 13 = -2*b - 1167*l, 4*b + 21 = l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-2485)\/(-63) + -26 - (1 + -6)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/13 - 38*f**3\/13 - 14*f**2 + 494*f - 2028 = 0. Calculate f.\nAnswer: -13, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -32, -47?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6223870 by -34.\nAnswer: 183055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 297\/5. Suppose -3*w - 3*s - 6 - 9 = 0, s + 9 = -5*w. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -57.3, -0.3 in ascending order.\nAnswer: -57.3, -0.3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 20322*y**2 - 2*y**4 - 412*y + 20322*y**2 in the form x*y + u*y**2 + p*y**3 + k + r*y**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 48766?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/169 - 7281\/338. Calculate the common denominator of -58*(4 - (-399)\/(-98)) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76604.1092905 + 17.0282905. Let k = t - -76639. Let a = 52 - k. Round a to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 204 = 162. Let m = -56 + g. Let z(c) = -c**2 + 4*c + 1. What is z(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 17 + 0 = 0. Suppose -3*o + 4 = 19. What is the units digit of v\/o + 14\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -5. Solve -r - s = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5) + 108\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((15 + 14*c - 15)*(3 + 0 - 1) + 0*c - 4*c + 5*c)*(-2 + 4 - 1).\nAnswer: 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-6 - 6\/(-2)). Suppose p*a = -a - 5. Sort 26, 1, a.\nAnswer: a, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4415882 and 3.\nAnswer: 13247646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 639 + -637. What is the remainder when 33 is divided by 54*(f - (-5)\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634.9099 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10568 (base 10) to base 9.\nAnswer: -15442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 15*i - 17. Is t(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -32111*w + 192662. Give a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-5 + 13 + 3)*((2*n - 2*n + 2*n**2)*(-n - 3 + 3) + 7*n**3 - 3*n**3 + 0*n**3 + (0*n**3 + 3*n**3 - 2*n**3)*(1 + 0 + 0)).\nAnswer: -33*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = 3*v + 5*g + 61, -2*v + 332 = -4*g. List the prime factors of v.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 58 - 26 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*l - 49*l**4 + 374*l**4 + 2 + 82*l)*((-5*l + l + 5*l)*((2 - 1 - 2)*(-1 + 1 - 1) + 0 - 1 + 3) - l + 2*l - 3*l).\nAnswer: 325*l**5 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**3 + 29*n**3 - 7*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13171 minus -0.9?\nAnswer: -13170.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999005.\nAnswer: 5, 7, 17, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 - 12 - 21)*(t**3 - 2 + 2).\nAnswer: -106*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(288) + sqrt(288) + -1)**2.\nAnswer: -288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10 + 11 = 0. Let k = -13 + m. Factor -2*a**5 - 4*a**3 + 2*a - 8*a**2 - 4*a - 8*a**4 - k*a**3.\nAnswer: -2*a*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 q when two letters picked without replacement from qoqxbyxxxxqwxobbxq.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. What is the second derivative of 2*o**z - 5*o - 2*o + 4*o + o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**3 + 29*x**2 - 7*x - 4. Let l(h) = h**3 - h**2 - h - 1. Let p(u) = 6*l(u) + z(u). Let m be p(-12). Solve m*w + w = -9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j - 1. Let h(m) = 8*m - 1. What is 6*c(r) - 5*h(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 219719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -9 - -6)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 34*g**3 + 0*g - 3 + 39*g**3 - 74*g**3 to n + u*g**2 + b*g**3 + d*g and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from smoanmz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 959 and 62746?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9))\/(1\/(-3)). Is 0 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 - 15265 + o**2 - 2*o + 15282. Let a(y) = -4*y**2 + y - 11. Calculate -8*a(p) - 5*w(p).\nAnswer: 2*p**2 + 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/154*(-40)\/(-45)*3\/(-4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-1 - 6 - (-21 - -13))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -31 - (3 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6476 to the nearest 100.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 21608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3781131670.975 and 0.4.\nAnswer: 3781131671.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 3 (b) 93\/2 (c) -3 (d) 4 (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t - 12310 = -h - 58*t, 0 = 2*h - 152*t + 154*t - 158 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0 + 1\/20*g**5 + 0*g**3 - 11\/2*g**2 + 2*g + 0*g**4. Differentiate l(f) with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2211 * -378\nAnswer: 835758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 + -141. Let d = v + 18. Let g = d - -52.99999922. What is g rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271 - 157. Let d = w + 427.99999494. What is d rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q + 97*q + 42 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 285\/638 + 11\/58. What is the common denominator of l and -67\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2140578 by 18.\nAnswer: 118921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19142 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/(-3))\/(4\/(-12)). Suppose -5 = -4*f + d. Suppose 3*l - b - 34 = -6*b, 4*l = -f*b + 40. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/7)\/(12500\/577500).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6842, 27372, 61582, 109466, 171018, 246232?\n\"Answer: -s**3 + 6846*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/384725 + 66277633\/1538900. Let m = z - 173\/4. Let p = -2 - -3. What is the second biggest value in p, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3 - 7 = 0, 4*h = 3*f - 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**5 + 5*m**4 - 55*m**3\/3 + 15*m**2 + 693. Factor o(l).\nAnswer: 5*l*(l - 1)**2*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/7 and 133\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqxxqxq. What is prob of picking 2 x?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i - 35 = 0. Let w be 2\/(-5)*(-105)\/i. Solve -20 = w*n - n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*140\/(-240)*((-4)\/2 + 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 475.4599342 + -11.4624642. Let t = 464 - m. Round t to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9579 is divided by 266.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*f**5 + 93*f + 1 wrt f.\nAnswer: 4140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 104, 216, 384, 614?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5.5. Let p = w + -0.7. Let g = 456 + -4106\/9. Is g equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**2 - 4*m**2 + m**2)*(-40633 - 22607 - 3672) to the form w*m + g*m**2 + y and give g.\nAnswer: -66912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2435 - -244?\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261*h**2 + 259*h**2 + h + 2*h + 12 to z*h + n*h**2 + c and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1477 + 535 = -6*h. Suppose 0 = -8*z - 5 + h. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(2\/17)))\/(t*(t\/t**(-1)*t)\/t*t*t))\/((t\/(t**(-3\/5)*t*t)*t)\/t**1))**49 assuming t is positive.\nAnswer: t**(-19649\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 2 + 2)*(0*o + 0*o - o) - 3 + 3 + 3*o)*(2 + 0 + 6)*(-4 + 4 + 3*o**2) in the form q*o + u + n*o**2 + g*o**3 and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 91634.99 weeks?\nAnswer: 55420841952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*-1*sqrt(272)*1)**2)*6.\nAnswer: 40794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -114082*i + 342243. Determine x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -268566760 to the nearest one million.\nAnswer: -269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*216\/(-1170). Let n = 2\/43 + -53\/215. Let c = u - n. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178640 and 1738660.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-2873)\/156)\/(-17)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 486 and 4644.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/4, -6.43, -0.18 in descending order.\nAnswer: -0.18, -3\/4, -3, -6.43","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2) + 1 - -1. Let t be f\/2*(-10)\/(-3). What is the closest to -1 in t, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-9))\/(8\/(-26172)). Let g(v) = v**3 + 3*v**2 - 2*v - 4. Let r be g(-3). Suppose -z + 639 = -r*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149360 is divided by 820.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20202103 (base 4) to base 7.\nAnswer: 203635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -281100 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 816927 + 93?\nAnswer: 8169ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*-1)\/(7\/(-7)). Suppose -2*b + 14 - l = -4*k, 3*k - 2 = -4*b. Let y be (-16)\/k*1\/2. Solve -y*o = -0*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*s - 6*s. Solve h = -s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 + -1 + 4 + 3 + -4. Let u = h - -3. Find the third derivative of 17*a**2 + u*a**2 - 58*a**6 + 42*a**6 wrt a.\nAnswer: -1920*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/20 and -17\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(((-6)\/(-74))\/(-3)). Suppose 512 = -105*l + 109*l. Suppose -u + 37 = m, -2*m = -5*u + 57 + l. Calculate the highest common factor of j and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v, 0 = 2*r + 5*v - 32 - 613. What is the second derivative of 11*n**2 - 6*n + 315 - r wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - d = 2, 3*c + 3*d + d - 27 = 0. Let i(f) = 13*f - 6. Let a be i(17). Suppose -4*q = -c*v + a, -3*v + 51 + 85 = -q. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 4*f**2 + 3*f + 4. Suppose 5*z = 4*h - 28 + 32, -2*h = -z - 4. Let d(b) = -b**3 + b**2 + b + 1. Calculate z*d(s) - g(s).\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3049883.95 + 1196271.22. Let a = d - -1853715.729957. Let f = a - 103. Round f to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in -2\/639, -0.3, -5?\nAnswer: -2\/639","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 892*j**2 + 24036*j + 80028.\nAnswer: -4*(j - 27)*(j + 3)*(j + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 189637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -r - 35. Let x = r - 101. What is the greatest common divisor of 32 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 399, 1620, 3659, 6510, 10167, 14624, 19875, 25914?\n\"Answer: -b**3 + 415*b**2 - 17*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6981877 and 5?\nAnswer: -34909385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:14 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510661158.\nAnswer: 2, 3, 7, 127, 95737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4525, -4805, -5085, -5365?\nAnswer: -5645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 5 - 5. Let w be (4 - t) + -2 + 2. Let s be w\/(-2) + -125000 + (3 - 1). Round s to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)*l**5*(l**(-3)\/l)**33 assuming l is positive.\nAnswer: l**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 3*u + 654. Is 53 a factor of d(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2906 + 1.1185.\nAnswer: 2907.1185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 52. Let x be (-10)\/f*(-11)\/22. Suppose 169 + 111 = x*h. What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.8 and 245.\nAnswer: -2156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87.33 - 87.63. What is the closest to 2 in 4, -5, s, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 3\/1 - -3. Suppose q - 3 = -h*q. Suppose 5*a - 13 = c - q*c, 0 = -4*c - a + 71. Calculate the remainder when c is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2948239, -5896480, -8844721, -11792962?\n\"Answer: -2948241*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 304295242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (-6)\/(6\/2). Suppose v*z - 4*x = 8, -z = -4*x + 7 - 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 11*l**2 + 10*l - 1. Let y(c) = -9*c**2 - 9*c. Let x(p) = -4*d(p) - 5*y(p). Let j be x(-2). Let s(k) = 6*k. Give s(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-255) - (-6)\/(-10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98.85 + 9.55. What is z rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9556, 9330, 9124, 8944, 8796, 8686?\nAnswer: 8620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 + 22*x. Let h(n) = 2*n**2 + 15*n. Calculate -7*h(g) + 5*p(g).\nAnswer: g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9 and 62\/14544025.\nAnswer: 130896225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (208*s**3 - 107*s**3 - 135*s**3 + 28*s**4)*(1 + 2 - 1) in the form b + z*s**4 + q*s**3 + o*s + c*s**2 and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:43 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324*k**6 - 2*k**5 - 2*k**4*q + 14*k**2 + k*q + 6*q wrt k.\nAnswer: 38880*k**3 - 120*k**2 - 48*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13147 + -501?\nAnswer: 12546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9907 (b) 5 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20249\/12 - 1685. Find the common denominator of i and (6\/32)\/(12\/8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17 and -6715.\nAnswer: -6698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(1008))**2 + -6*(sqrt(112) + -2 - sqrt(7)).\nAnswer: 126*sqrt(7) + 3048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2251, 2247, 2241, 2233, 2223, 2211?\n\"Answer: -g**2 - g + 2253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((-1*(sqrt(114) + sqrt(114)*-1) - sqrt(114)) + sqrt(114))*-4)\/(sqrt(12)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 195 - t**2 - 54*t + 95 - t + 26*t. Is c(-34) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72217041.\nAnswer: 3, 13, 1851719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 4581.\nAnswer: 4\/1527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab9 (base 12) in base 5?\nAnswer: -101214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -188263 (base 10) in base 16?\nAnswer: -2df67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 4\/7, 2\/13, 1\/11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33094, 66172, 99258, 132358, 165478, 198624?\n\"Answer: j**3 - 2*j**2 + 33077*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 23*c = 3*w + 28, -4*c = -20. What is the closest to -0.1 in w, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 293532*b + 293534*b + 3 + 0 - 587065*b + 3.\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from iigcggggggiiimciggir?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + s = -27, 8*o = 6*o + 5*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - j**3 - j**2 + 17 - 10 + 6 to the form d + r*j + s*j**2 + c*j**3 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 183, 173, 163?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 22. Which is bigger: q or -11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17424975.\nAnswer: 3, 5, 232333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19663168?\nAnswer: 2, 7, 43891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + (1 + -14 - -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5041 = -4*p, -5*p - 2*o - 10196 = -3894. Round p to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331465807.\nAnswer: 331465807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42825 is divided by 255.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvj when three letters picked without replacement from vdvrudvjrbrb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:22 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 - -183. Is d <= 1\/915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -24564 in descending order.\nAnswer: 2, 1, -24564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*v - 6800, 3*v + 0*i - 4080 = -5*i. Is 1360 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 881143238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -12. Let b(k) = -3*k - 1. What is the units digit of b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614334 is divided by 51193.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w + 10 - 30. Let g = -0.12 - -6.12. Let t = -8 + g. What is the smallest value in 4, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**5\/135 + c**4\/27 - 2*c**3\/27 + 13*c**2\/2 + 10. Let t(k) be the second derivative of p(k). Find a such that t(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 2200 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -256.452+-0.338\nAnswer: -256.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274186 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1186079 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**28*o)\/(o*o**(-37)) assuming o is positive.\nAnswer: o**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 - 1108*s + 10975. What is x(10)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203489*k - 9 + 2 + 7.\nAnswer: -203489*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8810 divided by -2803.\nAnswer: -8810\/2803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 41. Suppose 255 + 143 = 58*n - 472. Calculate the remainder when v is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 979447.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-12)\/(-4) - 12\/9. Let g(t) be the first derivative of 2\/3*t**2 - m*t - 1\/18*t**3 + 4. Factor g(w).\nAnswer: -(w - 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 3*r**2 + 1. Let j(q) = -3*q**3 + 9*q**2 - q - 3. Let c(w) = 2*j(w) + 7*m(w). Calculate c(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/((i**(3\/25)*i)\/i*i*i)))\/i**(-2\/11))\/(i**(-29))**0)**(-49) assuming i is positive.\nAnswer: i**(-31017\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (924\/33 - 36) + (-1)\/(140\/(-1124))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 127*t - 31*t - 16*t + 8*t**2 - 32*t - 12*t**3 + 0*t**4 - 2*t**4.\nAnswer: -2*t*(t - 2)*(t + 2)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879278 is divided by 67626?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11392*x + 11038*x + 708 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2 - 44*v - 1. Calculate the remainder when 371 is divided by r(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 621879 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f + 19. Let h be n(-8). List the prime factors of 64*(5 + (4 - h)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115401219 + -9733\nAnswer: -115410952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 + 3*j**2 + j + 2. Suppose 22*c - 15*c - 14 = 0. Let y(u) = -7*u**3 - 6*u**2 - u - 5. Let d(s) = c*y(s) + 5*a(s). Determine d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 11:19 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -496945.57937 + -1.9\nAnswer: -496947.47937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403728 and 235456?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67053, -67035, -66989, -66903, -66765, -66563?\n\"Answer: 2*i**3 + 2*i**2 - 2*i - 67055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087335?\nAnswer: 5, 229, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 - 11 = -h, 4*v = 20. What is the third derivative of 5*j**5 - 5*j**h - 7*j**5 + 3*j - 70*j**5 wrt j?\nAnswer: -4320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238832 and 14076?\nAnswer: 36541296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u - 211847 = -61*u. Suppose -5*d = -x + u, 2*x - 3*d - 9856 = 499. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*z - 1576 = -577*z. Let y(w) = 347*w - 1. Let i be y(1). Let l = z + i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 34. Suppose 2*h - 44 = -y. Suppose -f - 11 = t + f, -27 = 2*t + h*f. Which is the third smallest value? (a) -0.5 (b) t (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 21*k**2 - 69*k + 28. Let q(p) = -5*p**2 + 17*p - 7. Let u(w) = 2*i(w) + 9*q(w). Let v be u(4). Solve v*x = 2*g + 16, -5*x + g - 5 = -18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s**2 + s. Let z be x(-2). Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 4)*((2 - 3 + 3)*(-1 - 2*r**3 + 1) + 45*r + 18*r**3 - 45*r) to m*r**3 + o*r**2 + i + n*r and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 43\/6 + 2\/(-12). Suppose 0 = -l - 0 + y. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7804694 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f + 15. Let x be j(-5). Calculate the remainder when ((-188)\/12 - x)*-12 is divided by 48.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11477242 + -0.09547. Let a = x - 0.0193. Round a to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + s**2 - s. Let n(z) = 4*z**3 + 11*z**2 - 7*z - 5. Let w(i) = -n(i) + 3*q(i). Let p be w(-8). Is 11 a factor of 3\/(3 + 0) - p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (-32 + 19 + (10 - 3) + 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2023 and 1485?\nAnswer: 3004155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(-2 + sqrt(98) + 1 + sqrt(98)*2 + -1) + -1 + -5)**2.\nAnswer: 84*sqrt(2) + 3529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13161356 or -13161369?\nAnswer: -13161356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let y(b) = -53*b. Calculate m(y(a)).\nAnswer: 2809*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 488937356 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2188 and -27.\nAnswer: -59076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -7. Let b(v) = -2*v + 88. Let w(d) = 5*d - 60. Let o be w(15). Calculate the remainder when b(o) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -39 (b) -2\/5 (c) 4\/7 (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v - 1. Let t(u) = -4*u**2 - 2*u + 4. Let c(q) = -3*g(q) - t(q). Suppose 0 = 5*x - 4*a + 2, 0*x + 3*a = -x - 8. Is c(x) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -15. Suppose -2*x = -d*x + 18. Solve 2*w = 2*p + 8, -4*w - p + x = -3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 727 or 84919?\nAnswer: 727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 8771 - 4216 + 3*j**3 + 12987.\nAnswer: 3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26390*c**2 + 656 - 656 + 26392*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/12*(10 + -11)*8.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9619*l + 156. Let t be h(6). Is (t + 56)\/(-1 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -1993.2\nAnswer: 6577.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41.373 + 40.973. Let k = 11.1 - 10. Let g = 1 - k. What is the third biggest value in s, g, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60043 + (5 - 6) + -4 + 1. Suppose 18*t - s = 9*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 35*q**2. Let u(m) = 4*m**2. What is x(u(b))?\nAnswer: 560*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**4 - 11*d**3 - 56*d**2. Let m(k) = -2*k**3 - 11*k**2. Let o(n) = -2*l(n) + 11*m(n). Find the third derivative of o(s) wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 25. Suppose -j*f + 160 = f. Solve -10 = 5*o + 3*z, 5*o + f = -0*o + 3*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004914 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-6)\/(-30)))\/((-1)\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 1079*s - 1068*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x + 29 - 128 = -60*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**5\/20 + 2*x**4\/3 + 5*x**3\/3 - 2*x**2 + x. Calculate the least common multiple of v(9) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = t + 3 - 14, 0 = 2*t + 5*z + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/40 + 247*q**4\/16 + 249*q**3\/2 + 3348*q**2. Solve k(d) = 0 for d.\nAnswer: -2, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 1. Let v(y) = y**2 - 6*y - 6. Suppose 0 = 17*x - 13*x - 24. Let s(u) = -2*u**2 + 11*u + 11. Let i(n) = x*s(n) + 11*v(n). Determine l(i(a)).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -5\/3*f**2 + 51 - 5\/18*f**3 + 10\/3*f + 5\/24*f**4. Factor j(a).\nAnswer: 5*(a - 2)*(a - 1)*(a + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340 divided by 41529?\nAnswer: -780\/13843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/(20 + 5620\/(-280)) - -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 5*t + b, -4*t + 4*b - 9*b - 9 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -1 + 10 + 21 + -23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2288 + -2203. Solve -g*r = -64*r + 105 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4\/9 + 41498*r**3\/3 - 645677728*r**2\/3 - 9691266856*r\/9 + 15501246016\/3 = 0.\nAnswer: -8, 3, 31126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, -21, -15\/2, -3\/52, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096603 tonnes in kilograms?\nAnswer: 9.6603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.3783 * -0.9\nAnswer: 1.24047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9010222281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34946 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1621, 1614, 1605, 1594?\n\"Answer: -z**2 - 4*z + 1626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 3. Let q(a) = 6 + w - 17 - a. Let n(b) = 2*b + 35. Let v(p) = -p - 10. Let d(t) = -6*n(t) - 21*v(t). Determine d(q(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*g**6 + 10*g**5 - 3*g**3 - 36*g**2 + 116*g.\nAnswer: 3240*g**3 + 600*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -7*t + 62 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - -231?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 2:01 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 36 = -1176. Let j = 479 + s. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2267, 4212, 6137, 8042, 9927?\n\"Answer: -10*m**2 + 1975*m + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*q - 3229 - 2143 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3}. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 13*c**2\/2 - 3. Let a = -173 - -169. Let s(x) = -7*x. Calculate a*i(g) - 7*s(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.0064 - -3. What is m rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v + 126 = 74*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 18. List the prime factors of (-238 + -1)*(a + 3).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 11*n**6\/360 + n**5\/40 - 7*n**4\/24 + 2*n**3 + 2*n**2 + 12*n. Let i(d) be the first derivative of h(d). Is i(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 3*r**2 - r + 1. Let j(k) = -231*k**3 + 21*k**2 - 7*k + 6. Give 3*j(c) - 21*v(c).\nAnswer: -651*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -3, 3.\nAnswer: -83, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1357, -12355, -42577, -101635, -199141, -344707, -547945, -818467?\nAnswer: -1165885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383987, -383815, -383633, -383435, -383215?\nAnswer: -382967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - f**2 - f. Let x(g) = -3*g**3 + g**2 + 3*g + 1. Let i = -10 + 16. Let m(r) = i*q(r) + 3*x(r). Suppose m(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -5*s + 34, 9*r - 4*r - s - 10 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 17. Determine j(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppp. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/1242 - (-916)\/46?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 294 = -26. What is the tens digit of (c - 6) + (-6)\/(2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-10)*1*(-12)\/45.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.2188 - 17.47. Round b to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2748 and 4.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0 + 2\/3*m**3 - 6*m + 5\/6*m**4 + 0*m**2. Factor s(w).\nAnswer: 2*w*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 89\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + w - w - 3*w)*(-2 - 1 - 5).\nAnswer: 24*w - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/144 - 2\/(-56))*-7. What is the hundreds digit of (160\/4)\/(c\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4910845 divided by -982169?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1521 (base 7) to base 9.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v**3 - 326*v**2 - 1319*v - 1046. Calculate t(-50).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/4, 1, -0.838, -107, 8?\nAnswer: -0.838","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168123*d**3*p*x - 85141*d**3*p - 18*p wrt x.\nAnswer: -168123*d**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 35, -20, -3, 2, 109 in ascending order.\nAnswer: -20, -3, -2, 2, 35, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-224)\/784)\/((-2)\/(-7)). Let a(r) = 13*r**3 + r**2 + 5*r + 4. What is a(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 2*v**2 + 7*v - 5. Let r be h(3). Let t(l) = 3*l + 11. Let g be t(-5). What are the prime factors of g\/7 - (-193)\/r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.5, -2, 4, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 674 and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 628*g - 5650. Let k be o(9). Sort -8, -1, 36, k in ascending order.\nAnswer: -8, -1, k, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1. Suppose 5*s + k*s = 3*i + 21, 13 = 3*s - 2*i. Is 9 a factor of (s\/2)\/(5\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174776401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - -1422?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 9:51 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 19*k + 15. Let p be l(-19). Suppose 0 = -5*v - p, 4*f = 5*f + 3*v - 26. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Let m(w) = -w**2 - 7*w - 6. Calculate the least common multiple of q and m(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-225) + 566\/200 + -3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 - -0.2. Suppose 0 = 2*i - 0*i + 6. What is the third smallest value in -1\/4, i, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 - (10 + (91 - 34)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-5)*-2)\/(272\/(-680)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 16*v**2 - 13*v - 25. Let u be k(15). Put -2, 4, u, 0 in descending order.\nAnswer: u, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, u: 9}. What is prob of picking 1 a and 2 u?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k - 41*k - 5 + 0 - 12*k. Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-56) - 1\/4. Let z = -2475 + 2475. Sort z, l, 4 in descending order.\nAnswer: 4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7402163533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85007682 to the nearest integer?\nAnswer: 9220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g**(1\/2))\/(g**(-6\/7)*g**(-1)*g*g*g) assuming g is positive.\nAnswer: g**(-79\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/544422 and -22\/31.\nAnswer: 544422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -117819 smaller than -117823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 18833 = 10611. What are the prime factors of w?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 10*p + 32. What is f(8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 353931 and 353344 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*l = -8, 0 = -4*q - 0*l + 4*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 345570367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1926, 15320, 51696, 122544, 239354, 413616?\nAnswer: 656820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 146, 3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -22024.\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 21. Suppose 0 = 6*w - 3*w + 2*l - 13, -2*w + 3*l + 26 = n. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 5:37 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726078?\nAnswer: 2, 3, 121013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 6 - 2. Let k be (-1)\/(2\/4 - y\/(-2)). Let u = 23 + k. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from fhr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 236739 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = 0, 4*f - 106 = -3*s + 25. Suppose 0 = -8076*x + 8190*x - 10602. Calculate the remainder when x is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z - 4*b, 2*z + 3*b = -2*z + 9. Suppose 3*w - 7414 = -5*u, -5*w = z*u - 5674 + 1216. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(360)\/sqrt(8) - sqrt(5)).\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/2)\/((-88)\/176)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/270 + w**4\/27 - w**3\/9 - 9*w**2. What is f in j(f) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 0.02 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdrr when four letters picked without replacement from rrrdrrrrmrmrrdm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6287 + -6286.82145. What is l rounded to 3 decimal places?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 699*s - 1410.\nAnswer: 3*(s - 2)*(s + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -122*a. Let d(q) = -4*q**2 - 5*q - 2. Calculate d(s(z)).\nAnswer: -59536*z**2 + 610*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493381 by -7.\nAnswer: -70483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66526039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130960 or 130962?\nAnswer: 130962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -0.0738.\nAnswer: -0.5738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3\/4, 3\/7, -23\/63?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 44 = -5*w, -u - 10 = -6*w + 5*w. Solve -4*r = -w*b - 40, -47*r = -45*r + 2*b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.768 + 0.668. What is the third biggest value in 168, -3\/7, y?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.37 + 3.07. Suppose 2*x - 3*x = 21. Let i be (x\/(-6))\/((-2)\/4). Which is the biggest value? (a) z (b) -2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**10*o)\/o**(-2\/9)*(o**(1\/2)*o)\/o**9)**(-43) assuming o is positive.\nAnswer: o**(11051\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11004710?\nAnswer: 2, 5, 1100471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(-2 + sqrt(27)\/(sqrt(18)\/sqrt(2)))*-6 + 4)**2 + -5.\nAnswer: -14661 + 8448*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1088 and -1\/58272?\nAnswer: 1981248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -0.12, -0.05, 4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - -6) + 1*31. Let n = 101 - h. What is the highest common factor of 17 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = j - 2*j + 2*h, 0 = 5*h + 20. Factor 5 - 3*o**4 + j - 6*o**3 + 6*o - 7.\nAnswer: -3*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2338)\/167*1\/(-49).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*p + 4 - 3*p**4 + 2*p**4 + 46*p + 8 - 24*p + 2*p**3 to f*p + y*p**3 + i*p**4 + v + c*p**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (57 + -26 - 22) + -6 + -8 + 89\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 54*a - 678. Let m be i(34). Sort -1, m, 4, 139.\nAnswer: -1, m, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13531957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 1552927?\nAnswer: -1552927.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 39*t - 249. Determine x(-30).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**4 - q**4 + 3*q**4)*(1 + 1 - 1) + (3*q - q**3 - 3*q)*(6*q + 2 - 2) as u*q**2 + h*q + a*q**3 + s + t*q**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 6*b - 109. Let g be t(-14). Solve g*n + 6*n - 2*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2, 2, -47, 1\/3, 20 in decreasing order.\nAnswer: 20, 2, 1\/3, -0.3, -2, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.45 + -638723.\nAnswer: -638721.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-2)\/(-2) - -20. Suppose -186*i + 191*i - 5*o - 70 = 0, -4*i - 5*o + 119 = 0. Calculate the highest common divisor of j and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.91 - -0.09. Let t be (-46)\/28 + 9\/6. Let d = 10\/21 + t. Which is the third smallest value? (a) 1 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.691 - 774.291. Let c = 702 + u. Let a = c - -70.59999386. Round a to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24177891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3. Suppose 2*k - 16 = -3*k + 2*x, -5*k + 5*x = -25. Let y(o) = -4*o**3 + 0*o**k + 0*o**2 + 3*o**3. Determine -2*p(v) + 5*y(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(2) + -2 + (sqrt(16)*2)\/sqrt(8)))**2.\nAnswer: -192*sqrt(2) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 663, 995, 1327?\nAnswer: 1659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -b + 25, 4*b = 2*u + 44. Does 22 divide (-129)\/u*-2*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.42 + -51.42. Let c = n - -50.29. Let u = c - -0.41. Is -0.08 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 339 = j. Round j to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 0 + 7*-1. Let g = 6 + x. Factor -1\/2*b**2 + 0*b + g - 1\/2*b**3.\nAnswer: -b**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 4*g = -256. Let v = 111 - g. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-13)\/(-26))\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310586*n**3 - 310747*n**3 + 621334*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -856, -1114, -1372, -1630, -1888?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + 3*g**5 - 6*g**5 - 13*g**2 + 13*g**2 + 2*g**5 + (1 - 1 - 2*g**2)*(5*g**3 + 4*g**3 - 5*g**3).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230554?\nAnswer: 2, 17, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.060537 and -1147.\nAnswer: 69.435939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k = 30. What is the remainder when 20 is divided by k\/(-45)*(-1 + (-62)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 1 = -3*x, -3*z - 8 = 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 39 + 19 = 0. Suppose -s - 5 = -z*a - 2*s, 3*a + 2*s + 4 = 0. Suppose a*t + 3*p - 1265 = 0, -2*t + 4*p + 838 = -420. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8173693 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4271 - -6026. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -24*y. Let d(g) = 23*g. Calculate 5*a(b) + 6*d(b).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(4 - 1))\/(1\/2). Suppose h*j + j - 4*g = -2, 2*j - 3*g + 2 = 0. Suppose 4*k + o = 4*o + 8, 4*k = -o + 8. Solve -s = -k*s - j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/904 and -49\/12769.\nAnswer: 102152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 0.0199984. Round l to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5482 by 1.\nAnswer: -5482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/6 + 11*f. Let q(i) = -46*i**2 + 4402*i - 2199*i - 2203*i. Give q(d(u)).\nAnswer: -184*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 36*a**3 + 3*a**2 - 4*a + 5. Let j be i(2). Let s be (-40)\/(-60)*(-67 - -1). Let h = s + 71. Calculate the greatest common divisor of h and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -51, -79, -107, -135?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 4 - (-4)\/8*0. Sort -2, y, 6.\nAnswer: y, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 4. Let g be h(-2). Let k = 1 + -1. Solve 5*y - a + 16 = 0, k*a = -g*y + a - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Let v(k) = k**3 - 18*k**2 - 12*k + 596. Let r be v(16). Let i(s) = -27*s**2 + 108*s - 108. What is r*l(o) + i(o)?\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2159920 by 20.\nAnswer: -107996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 10) in base 6?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1 - 8. Suppose 0*h = -h - 2. Let l = 152 + -147. Which is the nearest to u? (a) 3 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 0.4, 6\/13, -0.5, 7.2, 10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.17 + 36. Let u = -9.83 + b. Let v = u + 5. Sort 2\/23, 0.3, v in ascending order.\nAnswer: v, 2\/23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 4*a**3\/3 - 13*a**2\/2 + 6*a - 22. Let t(c) = -4*c**2 + 3*c**2 + 4*c + 0*c**2 - 2. What is -2*b(k) - 7*t(k)?\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*p = 32, -9*o - 34*o - p = -25*o - 0*p + 417 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 107967156.\nAnswer: 107967154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*r - 6*r. Let c be (-24)\/(-10) + (-870)\/(-75) + -12. Suppose r*k = 2*k + g + 9, -3*k + 3 = -c*g. Solve 5*m = b + b + 6, -2*m - 9 = k*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3186549 and 26883?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10772923 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, i: 12, j: 1}. What is prob of sequence ii?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5531607 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 46327 = 5*i, 3*d = -14*i + 17*i + 69438. What are the prime factors of d?\nAnswer: 3, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - -2) + (-6)\/(-2). Let w be 27\/z + (-3)\/12. Solve 2 - 4 = w*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -18*j. Let f(t) = -82*t - 8. Let q(r) = 31*r + 3. Let b(y) = 3*f(y) + 8*q(y). What is b(s(w))?\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 4*l = -6*w - 7, 2*l - 9 = -w. Let a(v) = v + 5. Let h(j) = 1. What is w*h(g) + a(g)?\nAnswer: g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 5*f**2 + 4*f + 10. Calculate i(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121210113 (base 4) to base 14.\nAnswer: 2a247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4.3414, -1\/8 in increasing order.\nAnswer: -4.3414, -0.2, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - -1 - 48\/12 - (-2 + 0). Solve 2*x - 6 = -u*f, 71*f = -2*x + 67*f + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 587 - 63a?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 370099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 9. Let p be k(6). Suppose 10 = -p*w + 58. Calculate the remainder when 30 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/(11\/14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96261241 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(-6*sqrt(468)*-1 + -5).\nAnswer: -144*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550757 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/72)\/((-94)\/30 + 908\/1135).\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62460 = -13*w - 2*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-125))\/((-116)\/(-580))*-10*6\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1 + 4 + 3*(sqrt(99) + 1) - sqrt(88)\/(sqrt(88)\/(sqrt(99)\/sqrt(9)))*-5)**2.\nAnswer: 154*sqrt(11) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d - 34*d + 68. Solve 0*c + 6 = 3*s + 2*c, 10 = d*s + 2*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 96517, 193037, 289559, 386083?\n\"Answer: k**2 + 96517*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -225, 21, 3\/4.\nAnswer: -225, 3\/4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 464*f**2 + 91 - 67.\nAnswer: -464*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = 3*a, -5*a + 5*r = -3*a - 12. Let n(m) = 4*m - 2. Let t be n(a). Solve 5 = v - t*u, 2 + 18 = 4*v - 5*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13323066.\nAnswer: 2, 3, 19, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -133.27. What is d rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 7:11 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:09 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3889*i = 3884*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3299838 to the power of 1\/2, to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (37 - 16)) + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17842*-9.\nAnswer: 160578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 24275*b. Let a(g) = 5*g**2. What is v(a(o))?\nAnswer: 121375*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, w: 2, b: 2, a: 1, e: 5}. What is prob of picking 1 a and 1 e?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, -3, -6, -1, 3, 3762 in descending order.\nAnswer: 3762, 18, 3, 0, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 4 + 0*i - 1\/10*i**2 - 1\/25*i**5 + 1\/20*i**4 + 1\/15*i**3. Let h(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8863991?\nAnswer: 773, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*b + 11 = 0, 17*a - 12*a = b + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 791216198 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17988246.39 rounded to the nearest ten thousand?\nAnswer: 17990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6983, -12276, -21097, -33446, -49323, -68728, -91661?\nAnswer: -118122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 j when four letters picked without replacement from {n: 6, p: 8, j: 3}.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-t + 4*t - 4*t)*(-7126 - 25*t + 7120 - 4*t) + 2 - 2 - t**2 + t**2 + 3*t - 3*t + (0*t + t + t)*(0 + 0 - t).\nAnswer: 27*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a - 5. Let g(u) = -6*u - 2. Let n be (12 - -64)\/(1 + -2 + 0). Let j = n - -81. Suppose -t - 2*w + 26 = -j*t, 5*t = -w - 22. Give t*g(f) + 2*v(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/50 + r**4\/15 - 4*r**3\/15 - 8*r**2\/5 - 7*r. Determine t, given that w(t) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2 - sqrt(55)\/(sqrt(88)\/sqrt(8)) - (sqrt(5) + sqrt(25)\/(sqrt(20)\/sqrt(4)) - 4*(sqrt(5) + -1 + sqrt(5)))) + -5.\nAnswer: -9 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*f + 43*f + 5*g - 660, g + 408 = 3*f. Calculate the least common multiple of 20 and f.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*u = 0, -4*x + 3*x + 5*u = 0. Suppose x = -13*f + 5*f - 7088. Let w = f - -2359. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 4923*s**4\/4 - 3*s**2\/2 - 293*s + 4490. Find the second derivative of a(f) wrt f.\nAnswer: 29538*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4759991207 to the power of 1\/3, to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -39 and 1048.\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94633930 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 3570 - 3858 = -5*h, -4*h + 108 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/2535*((-6)\/(-10))\/((-50)\/(-250))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-18)*2\/(-362)*3. Let t = i + 867\/6878. What is the common denominator of t and 79\/12?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14, -225, -456, -707, -978?\n\"Answer: -10*h**2 - 181*h + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2036345330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1111*l**2. Let v be b(6). Suppose -p = -4*p + g + 120004, g = -p + v. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2 + 980340*m + 156971 wrt m.\nAnswer: 4*m + 980340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1 + 2 + 2406*f - 2498*f. Let n(j) = -j. Calculate n(o(b)).\nAnswer: 92*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 72*m + 14 = 77*m, m = 8*h - 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4219689*c**3 - 53*c**2 + 30500*c wrt c?\nAnswer: 25318134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -b - 3, -3*b - s + 3 = 2*b. Let d be (7 + b)*16*1. Let t(r) = -192*r + 1166. Let z be t(6). What is the highest common divisor of z and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -w - 2*o + 86, 33 = w - 4*o. Calculate the remainder when 237 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -21. Suppose -z + l = -6. What is the highest common factor of 57 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 23*m. Let l(x) = 435*x**2 - 232*x. Let y(a) = 19*a**2 - 10*a. Let z(f) = -5*l(f) + 116*y(f). Give r(z(c)).\nAnswer: 667*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -116 (b) -1180 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -64*r**3 + 9*r**2 - 72*r - 438. What are the prime factors of z(-6)?\nAnswer: 2, 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 9*y + 25. Sort 4, -10, y in descending order.\nAnswer: 4, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01237724672 to seven dps.\nAnswer: 0.0123772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -216.35 - -218. Let y = -1.649655 + i. What is y rounded to 5 dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y - 10. Let n be d(-8). Suppose 3*l = n - 37. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 123284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 273174, -1, 15.\nAnswer: -1, 0, 4, 15, 273174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 178216 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: List the prime factors of 834486621.\nAnswer: 3, 23, 12094009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/36)\/(25\/(-1050))*(-36)\/(-14). What is the highest common factor of 30 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 1113152?\nAnswer: 1113204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 368670571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123420499 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 51805 - 0.036210858\nAnswer: 51804.963789142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 101\/3 - (-2)\/(-3). Which is smaller: t or 34?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -7, 4345?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from {d: 1, f: 8, y: 5, j: 5}.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -98*d - 40. What is the units digit of h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000212581 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nal when three letters picked without replacement from {x: 3, w: 1, a: 3, n: 2, l: 1, m: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5278580 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/136 and 149\/264?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-40)*1*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -4*y + 6*c - 5, -4*c = 4. Let j(n) = -n**2 + 15*n + 78. Let k be j(19). Sort y, -11, k in ascending order.\nAnswer: -11, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l**2 - 1)*(-1 + 2*l + 1) + 45*l**3 - 5*l**3 - l**3 + 2*l**2 - 2*l**2 - 9*l**3.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10312 and -1\/116.\nAnswer: 299048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2000 - -1998. Let w(y) = -y - 2. What is w(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.8 (b) -0.3 (c) -0.03 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-6) - (-99)\/(-54). Let v = 10 - k. Suppose -5*o + 17 = 3*m, 3*m - m - v = -4*o. Solve -m = 3*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7980*c**2 - 199094 + 199094)*(5*c**3 - c**3 + c**3) - 1 + 1 + 2*c**5.\nAnswer: 39902*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/153*(-35)\/((-420)\/(-18))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65714 is divided by 7921?\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 55. Let p = -46 + x. Let c = p - -38. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - a - 6 = -43, 121 = 17*h + 5*a for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -7*z**4\/8 - 3*z**3\/2 - 33*z**2. Let l be j(-1). Solve 5 = -r - 4*t - 4, -2*r = -2*t - l for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 10*m**2 + 8. Let w(b) = 2*b**3 - 19*b**2 - 14. Calculate -11*k(n) - 6*w(n).\nAnswer: -n**3 + 4*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t**3 + t**2 + 11 + 11*t**3 - 7 - 2*t**2 + 40*t**4 to g*t**4 + a + d*t**2 + m*t**3 + w*t and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4772\/(-6) - (-1)\/3. Suppose 5935 = 4*p + 3*v, -16*p - 4*v - 5900 = -20*p. Let w = p + i. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unfufusbusnwsfusnn. What is prob of sequence wnff?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 13*j**2 + 25*j + 47. What is a(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40409 - -83524. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11692*8\/(-176)*-11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 - 4*q - 5. What is the remainder when (2\/2)\/(1\/21) is divided by n(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 3*t + 4095, 3*t + 8199 = -4*n. Is 36 a factor of n\/(-12) + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2920)\/50)\/((-4)\/10)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37241, -149137, -335635, -596735, -932437?\n\"Answer: -37301*w**2 + 7*w + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 223000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*5\/15*3. Let h(d) = -d**3 + d - 5. Calculate the remainder when 54 is divided by h(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -34. Let v be 4\/(-22) - (-48)\/r. Let t(u) = -4*u**2 - 9*u. Let i(h) = h**2 + 2*h. Determine v*t(l) + 9*i(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -32*y - 209. Let q = 45 - 56. Is o(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 29, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 10:30 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575, 580, 587, 596?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d**2 - 312*d - 376. Let s be f(-43). Is 1949 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24229821 to the nearest integer?\nAnswer: 4922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -429. List the prime factors of b.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from jjkljslsljkkjljjjmj.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, z: 3}. Give prob of picking 1 i and 1 z.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15911 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 66164*m + 161743544.\nAnswer: -4*(m - 2162)*(m + 18703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1218*a**2. Let d be t(1). Calculate the greatest common divisor of 42 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfnfdeeff. Give prob of sequence ndfy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1190*y**3 + 15*y**2 + 38894*y wrt y.\nAnswer: -7140*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 123, 0.2, 3, -74, 2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/3, 0.5, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(100*i + 120*i - 3 - 30*i).\nAnswer: 190*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 27. Let c = l - -40. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 10:13 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 n, 1 r, and 1 b when four letters picked without replacement from {n: 1, h: 2, k: 1, b: 2, r: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 14. Let d = c + -16. Sort -3, -5, d in decreasing order.\nAnswer: -3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(-3*sqrt(7))*-2.\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -615 != -615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h**2 - 52*h**2 + 526890*h - 526890*h + 14*h**3.\nAnswer: 14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 3442 times -350\nAnswer: -1204700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 2. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = g, 0 = 2*d - g - 9. Solve d*o = -0*o + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.429400854 - -0.4294. What is s rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a + 51. Determine w(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(-20)\/(-2). Suppose 5*p + 5*b = y, -2*b = 4*p - 0*b - 8. Let o(t) = t - 5. Let q be o(12). Solve p = -4*r - q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 30733309*s**3 + 16058770*s**3 + 0*s**2.\nAnswer: 46792079*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20494 - 13091. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7760.038 meters?\nAnswer: 776003.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100010010110010011?\nAnswer: 100010010110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9756, 19422, 28884, 38034, 46764, 54966?\n\"Answer: -18*d**3 + 6*d**2 + 9774*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29426194*i*z + 27657890*i wrt z?\nAnswer: 29426194*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 3*l + 3. Let j be h(-3). Let u = -12 - j. What are the prime factors of 5\/15 + (-46)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-2*(-18)\/(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-27)\/6)*(-22)\/5. Solve 0 = -z + 8 - m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.2 (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10990489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 2505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 46*p**3 - 6*p**2 + 7*p + 5. Calculate u(2).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44586 and 676221.\nAnswer: 4057326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509435157?\nAnswer: 3, 7, 11, 1069, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 491 + -456. Solve -5*i = -5*p - k, i = p + p + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmchcchlhh. Give prob of picking 3 h.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*k - 3 = 2*k, 8 = 2*k. Let o(d) = -3*d - 11. Let g(x) = -4*x - 11. Let v(t) = q*o(t) + 4*g(t). Let s = -46 + 46. Determine v(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3 + 6. Let i = 113 + -163. What is the hundreds digit of b*74\/(-4)*i\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f + 9. Let h(a) = 7*a - 4. Give 4*b(t) + 9*h(t).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+103999429707785\nAnswer: 103999429707785.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 7. Let v be h(5). Let b(k) = -v*k + k + 5 + 5*k - 2*k. What is the remainder when 108 is divided by b(16)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - h**3 + 2*h**3 + 2*h**4 - 46 - 3*h + 7*h to the form g*h + v*h**3 + k + i*h**4 + r*h**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m, -3*m = 3*t - 8*m - 31. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 7. Let r(p) = 14*p - 9. Let t(y) = 15*y - 12. Let x(m) = -4*r(m) + 3*t(m). What is b(x(g))?\nAnswer: -11*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:48 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180561 - h**2 - 180561 + 3*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495433 is divided by 495345?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.9217 to one decimal place.\nAnswer: -92.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -0.06 (c) 0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13047 + -3?\nAnswer: -1304a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnqnnnqnnnn. Give prob of picking 4 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 11*w + 4*q + 31, -3*w + 11 = -5*q. Let o be -3 - (21\/w + -2). Calculate the highest common divisor of 114 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37471, 78633, 119795, 160957, 202119, 243281?\nAnswer: 284443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3594*w**2 + 6420*w**2 + 4903*w**2.\nAnswer: 7729*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -895937 - -3635020. Let v = k - 1553083. Round v to the nearest ten thousand.\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312372773 to the nearest integer?\nAnswer: 17674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ngxs when four letters picked without replacement from {k: 3, g: 3, x: 1, n: 2, s: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*-2*3 + 2 + sqrt(98) + 1)*4 + -2)**2*4.\nAnswer: -11200*sqrt(2) + 157200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-956)\/5*1*37010\/2. Let j = 11358156 + s. What is j rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 43330*d - 93874445 = 0. Calculate d.\nAnswer: 4333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 3*z**2 - z. Suppose 7 = 2*o - 5*g, o + 6*g - 11 = g. Let v = o - 8. Give f(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbpqbbbbb. What is prob of sequence pqb?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 0.03 (c) -4 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-66)\/84)\/11)\/((-1)\/4). Do s and -164\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/300 - 2*a**4\/5 - 42*a**3\/5 - 3315*a**2. Let w(k) = 0. What is k?\nAnswer: -42, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2460 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Suppose 92*m = 81*m + 22. Let p(t) be the second derivative of 6*t - 11\/6*t**3 + 0*t**m + 0. Determine p(y(g)).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 + 9*x - 2. Let g(h) = -4*h**3 - 8*h + 1. Give -3*g(a) - 2*u(a).\nAnswer: 2*a**3 + 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2180)\/15*(1 - 22\/4). Suppose 977 = 7*u - s. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - -3.91. Let r(l) = l + 4. Let v be r(-3). Which is the smallest value? (a) -1 (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6))\/(515\/(-618)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d6 - a75?\nAnswer: -87d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 752 - 7472?\nAnswer: -6720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 46. Let m = l + 45. What is the highest common factor of 125 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -23. Let l = m - 21. Calculate the lowest common multiple of (-4)\/l - 5\/(-15) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11\/7 of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3718080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3071, 12130, 27229, 48368, 75547, 108766, 148025?\n\"Answer: 3020*m**2 - m + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 8 = -r + 2*z, -5*z = -4*r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 25*c = 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11.17*-0.25\nAnswer: -2.7925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - n - 5. Let x(v) = 0*v**2 - v**2 - v + 0*v - 4. Let c be 5 - 108\/18 - ((-14)\/(-2) - 2). What is c*b(z) + 7*x(z)?\nAnswer: -z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 6) to base 8\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291.81 - -286. Let f = 142 - 147.5. Let o = h - f. What is o rounded to two dps?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281749079, -281749077, -281749075?\nAnswer: -281749073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -433 - -437. Which is the nearest to -1\/4? (a) t (b) 2 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402165 and 13365.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.058 + 4.942. Which is the third smallest value? (a) -0.1 (b) -2\/11 (c) g (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 2959*j + 2955*j = 33, 2*q - 30 = -4*j for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 19*k**2 + 6*k - 19. Let u(a) = -3*a**3 + 55*a**2 - 19*a + 57. Let o(c) = -17*p(c) - 6*u(c). Determine o(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 4:52 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -21 - (93 + -40 + (62 - 11))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 48, 100, 172?\n\"Answer: 10*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5710, 5721, 5732, 5743, 5754?\n\"Answer: 11*v + 5699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 237774.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29 + 16 - -12)*-1. Suppose -3*a - 26 = 28. Let c be 4\/a + 58\/18. Calculate the highest common factor of v and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 296*j - 373. List the prime factors of u(13).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -21. Let r = 6 - g. Let x = 1 - r. What is the remainder when 13 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 1, -1\/23, -7?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34519 is divided by 34388.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3596, 3656, 3730, 3824, 3944, 4096?\n\"Answer: k**3 + k**2 + 50*k + 3544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**4\/12 - a**3\/3 + 9*a**2. Let t(v) = -5*v + 6. Suppose 4*f + 0*f - 32 = 0. What is f*q(s) + 3*t(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -83. Let m = x - -68. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 367681 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*d**3*l**3*z**2 + 2*d**3*l - 2618*d*l**4*z**2 - 3063*d*l**2*z**2 + d*l**2*z wrt l.\nAnswer: 126*d**3*z**2 - 62832*d*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*k**3 + 9*k**2 - 9*k**2 + 6*k**3 + 6*k**3 - 9*k**2 in the form g*k**2 + f*k**3 + t + p*k and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115941 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -16424241?\nAnswer: -16424242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 10101?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 677 + -680. Let h(z) = -z**3 - 7*z**2 - z - 1. Let q be h(-7). What is the biggest value in a, -16, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -11 + -14 - (13 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204792542090 - -0.1.\nAnswer: -204792542089.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 < 322252\/363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -743925, -743919, -743913, -743907, -743901, -743895?\n\"Answer: 6*g - 743931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 10. Let l(n) = 1 - 2 - n - 2 + i. Let d be l(-2). Which is bigger: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3184 and 92430127.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/41586 and -37\/10.\nAnswer: 207930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5456409908 + 0.08.\nAnswer: -5456409907.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, -73, -1 in descending order.\nAnswer: 21, 3, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174 and 35148?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59 - -bd904?\nAnswer: bd95d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 - 13*o + 4. Let i be z(11). Let y be (-1 - (3 - 2))*i\/(-2). Find the third derivative of -y*j**6 + 186*j**6 - 48*j**6 - 29*j**2 wrt j.\nAnswer: 4200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-1990)\/(-546) + -2. Let m = a - -2\/91. What is the nearest to 0 in 0, m, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29686800 and 1149412?\nAnswer: 7612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 345 + 327. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17600 and 7346240.\nAnswer: 36731200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-1764)\/(-56) + -43) - 40.\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q. Let j(a) = 31*a**2 + 14*a. Let t(o) = 15*o**2 + 6*o. Let n(h) = -6*j(h) + 14*t(h). Calculate f(n(s)).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18454538895 and -63.\nAnswer: -18454538958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1719 (b) 5 (c) 0.2 (d) 0.5 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 140?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 - 6 - -6 - 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-280)\/(-12))\/2 + 12\/(-18). Let s(p) = -2*p + 31. Calculate the remainder when 134 is divided by s(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53266724 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 13.6458 decades?\nAnswer: 0.136458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - c - 269 = 0, -7 = -s - 4*c + 39. What is the remainder when s is divided by 62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a tonne in kilograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/567 and -28\/3.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520 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: Suppose 5*q + 5*t = -0*q + 5, 1 = 3*q + 5*t. Suppose x = -q*x - 60. Let z(j) = -3*j. What is the tens digit of z(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 - 136. Find the second derivative of j*a**4 - 27*a - 102*a**4 + 54*a**4 wrt a.\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5144, 5161, 5180, 5201, 5224, 5249, 5276?\n\"Answer: z**2 + 14*z + 5129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2 (b) 2\/13 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2520.2 or -1\/49?\nAnswer: 2520.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1085, -1086, -1087, -1088, -1089, -1090?\n\"Answer: -o - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 4, d: 1, j: 2, e: 3, r: 4}. What is prob of picking 2 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8058*p**2 - 4532*p - 9. Let y(t) = 4031*t**2 - 2265*t - 4. Let r(h) = -4*l(h) + 9*y(h). What is the second derivative of r(s) wrt s?\nAnswer: 8094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3797845 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/((109228\/(-48504))\/581).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, o: 1, g: 4, v: 7, p: 2}. What is prob of sequence og?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*w + 4*w - 4*w)*(-2*w**2 + 3*w**2 - 3*w**2) - 8*w**3 - 25*w**3 + w**3)*(5 - 3 + 0) to t*w + l + x*w**3 + v*w**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87 by 4682.\nAnswer: 87\/4682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 32*h**2 + 69*h - 34. Let j be n(34). What is the second derivative of j*u - 5 + 13*u**4 - 85*u**3 + 82*u**3 - 4*u wrt u?\nAnswer: 156*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z + 2*d, -5*z - d - 4*d + 15 = 0. Suppose -16 + 176 = z*g. Calculate the highest common factor of g and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 10*m - 7. Let h be z(9). Let x be -1*4418\/(-8) + h. Let y = -543 + x. Calculate the common denominator of -63\/22 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/97 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 124 + (2 + -35 - 42)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in decades?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -365, -575, -807, -1061, -1337?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i + 0*i**4 + 3 - 1\/2*i**2 + 0*i**5 + 0*i**3 - 1\/6*i**6. What is the second derivative of h(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t**3 + 9*t**2 + 6*t + 9. Let q(s) = s**3 - s**2 - s - 1. What is -f(o) - 6*q(o)?\nAnswer: 16*o**3 - 3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.8. Let n = 0.90000051 - b. What is n rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3430*t - 1141*t - 1143*t - 1148*t - 73.\nAnswer: -2*t - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-2 + 2 + 6*f) + 0*f - f - f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-159)\/(-795)*(-60)\/246?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(650\/(-208))\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.14.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9584?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -14, -30, -72, -152?\n\"Answer: -2*c**3 + 5*c**2 - 3*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 22*a + 71200 = 0. What is a rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4914 - -4919. Let u be 19 - (-5 + 8\/2). Solve 0 = 5*j - u, x*a - 2*a + 25 = 4*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000101111 - -101010101?\nAnswer: 10110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*v - 0*v + 35, 5*v + 28 = j. Solve -j*x + 4*a - 14 = -x, 0 = 3*a - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 25*o**3 + 65*o**2 + 1082*o + 1018. Let t(n) = 4*n**3 - n - 1. Let p(w) = -s(w) + 6*t(w). Suppose p(m) = 0. Calculate m.\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 740768*m - 34296076864.\nAnswer: -4*(m - 92596)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 - 960*j**4 + 5532*j**3 + 229456*j**2 + 405840*j - 3355200 = 0.\nAnswer: -10, -6, 3, 20, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 763 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 - -105 - (23 - 2) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-24 + 39) - ((0 - -1) + (-4 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (20 + (-14 - 14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*b + 132. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 6. Let i = -9 - q. Let w = i - -1.7. What is the biggest value in -3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*d + 1. Calculate the lowest common multiple of 16 and 8\/(14\/4 + d).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + 140014?\nAnswer: 140123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5209863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -90*f**2 - 48*f + 3. Give z(-1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2966 - 2947 - (15 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37359631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 2162*c + 2*c**3 + 0.\nAnswer: 2*c**3 + 2162*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 4*k**2 - k + 4. What are the prime factors of d(5)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*q = 71*q + 900 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 43.9739 + 0.3\nAnswer: 44.2739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (29\/2*400\/75)\/(14\/2457). Calculate the highest common divisor of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138808 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-1)\/4*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-759)\/(1449\/21) - -14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691051 is divided by 14701?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08098708085 rounded to five dps?\nAnswer: 0.08099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 133 - 131. Suppose -2*b - 4*y + 452 = 0, -c*b - 6*y = -y - 452. 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 the second derivative of -109*w + 2302003*w**2 - 150*w**3 - 2302003*w**2 wrt w?\nAnswer: -900*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) 10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 + 8)*(2 - 2 - 2)*(o**4 - 2*o**4 - 3*o**4).\nAnswer: 128*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let k(m) = 1 + m - 1. Let f(a) = 2*a - 2. Let v(r) = 2*r - 3. Let q(o) = 6*f(o) - 4*v(o). Give y*k(p) + q(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1 + q + 5 - 2 - 23*q**3 + 22*q**3. Let k be z(0). Suppose -u + 3*u = k. Which is the nearest to -1? (a) u (b) 2\/9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 8. Suppose -6*h = 25 + 35. Let u(r) = -r - 1. Let k(j) = h*u(j) - 2*z(j). Let s(g) = -5*g + 13. Let n(v) = -7*k(v) - 3*s(v). Determine n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12\/13 (b) 171 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35247803*w + 15526578 wrt w.\nAnswer: -35247803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 7)*((-2)\/(-4) - 1). Suppose -f + 15 = 2*u. Sort -4, -2, u, 8 in ascending order.\nAnswer: -4, -2, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23022203200 (base 4) to base 10\nAnswer: -2926816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93159, -371206, -834145, -1481976, -2314699, -3332314, -4534821?\n\"Answer: -92446*g**2 - 709*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a3 - 2675?\nAnswer: -2b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**5\/5 + 11*g**4\/2 - 140*g**3\/3 + 100*g**2 + 162. Let q(m) = 0. Calculate m.\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966287 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + 456 - 609 = -423 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -119, -197, -285, -377, -467, -549, -617?\n\"Answer: z**3 - 11*z**2 - 52*z - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.5 + 25. Sort o, 1, -2 in decreasing order.\nAnswer: 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13633464 is divided by 3543?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -488 * -97822.\nAnswer: 47737136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 688127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 7260?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*s + 3*t = 750*s - 139, 280*s + 1210 = -2*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*c*o**2*s - 2*c*o*r**2*s + 845*c*r**2*s + 2*c*r*s + 82078*o**2*r**2*s + o*s wrt o?\nAnswer: 10*c*s + 164156*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056582 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*c + 178 = -44, -c = 5*p - 400. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 2\/9 (b) -5 (c) 103 (d) -1\/3 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(6)\/(-2*sqrt(162) - sqrt(2)) - ((sqrt(360)\/(sqrt(50)\/sqrt(5)))\/sqrt(12) + -5)**2.\nAnswer: -25 + 189*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-4 - 1) + -1 + 4 + 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233424402 - 2?\nAnswer: 233424400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaaaaaaaananaa. What is prob of picking 1 n and 3 a?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**2 - h. Let m be x(1). Let j = 3 + -2. Let d = 3 + j. Solve -5*z + d = -m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-14) - (-1081300)\/(-1018388)?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25401035 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -26594?\nAnswer: -22\/13297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1528502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2397938 less than 12?\nAnswer: 2397950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = -84. Let l = 36 + w. What is the remainder when l is divided by 4*(1 + -6)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -365521 - 72?\nAnswer: -365603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 9*k**2 + 2. Let z be o(9). Find the second derivative of 3*j**5 - 4*j**5 - z*j**5 + 3*j wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1671*v - 391 wrt v?\nAnswer: -1671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*i + 55*i + 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 1, u: 3}. Give prob of sequence fjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*d - 20, -2*d - d = -2*y + 19. Let u = 0 + d. Let r = 6 + u. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*d - 4*s, s = 2*d - 3. Solve 2*k - d - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 1:39 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 174632*s - 664. Let d(a) = -1313*a + 5. Give -664*d(j) - 5*w(j).\nAnswer: -1328*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -14. Let u = 160 + -156. Sort u, n, 7 in decreasing order.\nAnswer: 7, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 196412290 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: Evaluate ((-24)\/126)\/((-3)\/(9\/4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y - o + 18, -5*y + 5*o = 0. Solve 1 = y*t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 - 9 + 9 + (0*x + 0*x - x)*(-2*x + 3*x - 3*x) + 225*x**2 - 102*x**2 - 114*x**2 + x**2 + 5*x**2 - 4*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45696 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: Suppose c = 3*u + 9, -c + 4 = -5*u - 9. Suppose -4*m - 16 = -c*y, -2*y - 2*y = m - 53. Does 3 divide (-2 + y\/(-9))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 11:02 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1138*g*p*s**2 + 68*g*p + 2*g*s - 5*s wrt s.\nAnswer: 2276*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3 and 31\/187336.\nAnswer: 562008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 3*p + 6. Let s(y) = -3*y**3 - 5*y + 11. Let c(q) = -3*s(q) + 5*x(q). Let i(d) = d**2 - 1. Suppose -133*j = -235 - 31. Give j*i(r) - c(r).\nAnswer: r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000201 (base 3) to base 10.\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 29 = i, -2*q + 56 = -3*i + 66. Let x(r) = r**3 + 10*r**2 - 9*r + 6. Determine x(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 - 0.43. Let p(l) = -l**2 - 5*l + 5. Let b be p(-5). Let y be (-6)\/(-8) - b\/4. What is the nearest to 0 in y, 5\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - t + 1. Give s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = -3*t - 0*t, 0 = 5*s - t + 5. Is (33\/9 + s)*(-187707)\/(-52) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 1 f when three letters picked without replacement from fjcjaaannnaafccfan.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -425, 2, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + 8 + (-2 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.2. Let s = n - 0.3. Let t = -433 + 433. Which is the third biggest value? (a) s (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 3*r + 124, -307*h - 5*r = -306*h - 216 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*c**2 + 18*c**2 - 79*c**2)*(-6 + 3 + 0).\nAnswer: 252*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -24*o - 429. What is the remainder when h(-35) is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2 = -3*r, -g = -7*r + 10*g - 9*g + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 l when three letters picked without replacement from laybbbaaabaaaaaaaayy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8894 + -8893.9999991791. What is a rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 10:28 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 4*u + 2. Let v be x(4). Let f be 58\/v + (-18)\/81. Suppose -12 = 4*z - 5*m, m = -f*z - 2*m - 9. Is z greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/4 (b) -0.24 (c) 0.5 (d) 3 (e) -113 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*f = v - 175, v - 26 = 4*f. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1485.66 and -0.3.\nAnswer: 445.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61567.\nAnswer: 11, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-2)\/(-4)*2. What is the second derivative of -2*m**4 + 4*m**4 + n*m + 0*m - 3*m**4 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.1. Let i = 91\/2 + -447\/10. Which is the nearest to 1? (a) l (b) 3\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 23 - 3. Let x(v) = 2*v - 4. Let n be x(b). What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 2. Let b be (4*(-12318)\/(-24))\/(g\/22). Suppose 0 = -6*p - 5*p + b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4784 - -4785. What is the closest to o in 3, 1, 3\/203, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-370)\/(-148) + -1 + -3 - 6\/(-4). Solve 6*z = 9*z + 2*k - 9, m = -2*z + k + 13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -874202830 rounded to the nearest 100000?\nAnswer: -874200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q - 39224 = -52232 - 112772. What is the remainder when q is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f**3 - 2*f**2 + f. Let u be g(1). Let o(w) = 21*w - 11*w - u*w. Let l(t) = t. Determine l(o(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0547441 and -29 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5 = 1. Suppose -2*l = -u*f + 28, -45 = -5*f - l + 6*l. Calculate the remainder when 28 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 3*q - 2*t, -t + 67 = q + q. Suppose -122 = -z + q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2\/9 - 352220*l\/9 + 7662032 = 0.\nAnswer: 196, 175914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2281*l = -2292*l + 29 + 37 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103041240 divided by 1977?\nAnswer: -52120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 4*z**2 - z + 4. Let r be 17\/3 + (-4)\/(-12). Suppose -4*q + 11*j + 69 = r*j, -3*j + 9 = 0. Calculate the remainder when q is divided by i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2 + 6*o**2 + 675*o - 675*o. Let j be a(-2). Suppose -21*p + j*p = 135. What is the remainder when p is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.9 - -1.1. Let p = 86 + -92. Let l be (8\/p)\/(1 - 15). What is the second smallest value in l, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 11*k**2 + 56*k + 13. Determine w(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j. Let a(t) = -9*t**2 - 3*t. Let c(v) = -8*v**2 - 2*v. Let p = -26 - -28. Let r(g) = p*a(g) - 3*c(g). What is r(s(o))?\nAnswer: 216*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhr when three letters picked without replacement from {r: 1, l: 7, h: 2}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*10\/75 + (-18)\/20. Which is the smallest value? (a) 1 (b) y (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-50)\/250?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -l - 3*k - 304, 3*k = l + 354. Round l to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 951*i**2 - 7704*i.\nAnswer: 3*i*(i - 642)*(i + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 80398.48 meters?\nAnswer: 80.39848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -69730 rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12) + 7 + (-2583)\/324.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9597 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*u + 69 = -756*u + 4*o, 68 = 4*o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 4 - 1)*(4*f - 4*f - f) + 0 + 0 - 3*f)*(2*f - f - 3*f)*(0 + 5 - 2) to v + c*f**2 + m*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9652*n - 5851*n + 12288*n + 1259*n**2 + 1840*n**2 wrt n.\nAnswer: 6198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5 = 3*x. Sort 5, x, 12.\nAnswer: x, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 12) + 1 - (-5 - -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y - 4*y. Let c(l) = l**3 - 6*l**2 + 5*l + 2. Let a be c(5). Suppose 0*q - 3*o = -2*q - 2, -q + 2*o - a = 0. Solve -q*z - y = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.120076, -4\/5, -1\/534, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z + 2. Suppose 0 = -3*b + 12 + 42. What is the remainder when (68\/6)\/(z\/(-6)) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1 (c) 1\/16 (d) -2\/11 (e) 0.01 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 87, 986, 3497, 8430, 16595?\n\"Answer: 135*z**3 - 4*z**2 - 34*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let x = -2 + 3. Let h be n(x). Let q = -1 + h. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213 + 124114?\nAnswer: 123501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*p - 33, 0*t - 3*t = 2*p - 82. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 16) in base 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 502532735339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 265 + 3*s + 3*s - s.\nAnswer: 5*s - 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43454699.\nAnswer: 43454699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 156? (a) 0.13 (b) -32 (c) -0.2 (d) 0 (e) 20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68349*l + 157932*l + 3 + 2629028*l + 2.\nAnswer: 2855309*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4343 take away 0.4878162404?\nAnswer: -4343.4878162404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(7))*6*-3 + 6*(sqrt(7) - (sqrt(7) + sqrt(28) + -2)).\nAnswer: -84*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/78 and 53\/130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 2)*(-11)\/(-11). Let v be (d\/9)\/(1\/3) - -1. Solve -21 = 3*y + 3*c - 0*c, v = -3*y - 2*c - 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + sqrt(272) + -2 - sqrt(272)) + -5 + 0.\nAnswer: -7 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -7 + 0*n + 1\/2*n**2. Let i(q) = 2*q + 6. Let d(w) = -1. Let k(z) = -6*d(z) - i(z). Determine a(k(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 - 289 = -s. Let j = s - 171. Solve j*m + 4 = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*o**3\/5 + 19848*o**2\/5 + 26488*o\/15 + 2944\/15 = 0. What is o?\nAnswer: -2\/9, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 8, 24, 48, 80, 120, 168?\n\"Answer: 4*k**2 - 4*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*j + 4*h - 1706, 0 = -2*j + 4*h + 1688. What is the highest common divisor of 150 and j?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(77))\/sqrt(7) + 2 + sqrt(22)\/sqrt(2))*-3)**2.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 3*d + 2. Suppose -3*j - 4 = j, j = -2*o + 7. Give c(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 470004*b**6 - 80*b**3*f*m - 22550*b**2*f*m + b**2 - 2*b*f*m + 3*b*f + 2*b - 12*f + 10*m wrt b.\nAnswer: 56400480*b**3 - 480*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(3*m + 8*m - 6*m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-95)\/15 - (-1 + 0). Let s = a + 5. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 22477361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -352404?\nAnswer: 352405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30846, 30563, 30280?\nAnswer: 29997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**6\/45 - o**4\/18 - 5*o - 5. Let t(z) be the first derivative of u(z). Find d, given that t(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-298480)\/(-210) + ((-10)\/3 - -2). Let x = -930 + i. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 539*i**2 - 30089*i - 192. Give p(590).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 t, and 1 v when three letters picked without replacement from {e: 1, v: 2, t: 5, p: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-6)\/(-2) - 2). What is the derivative of 14*q**h + 6 + 13 + 5 - 4 wrt q?\nAnswer: 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 876 * 4.\nAnswer: 3504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 - -7?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1717\/5 + -342. Let h = b + -87\/55. Do -0.1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 2*l**4 - l**4 - 2*l**3 - 2 + 9*l**4 - 4*l**4 to the form w*l + o*l**4 + r*l**2 + q + s*l**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1737.5 - -1738.2. What is the fourth smallest value in -3\/7, 4\/9, -10, -3, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 2. Suppose 2*z = 4 + x. Let j = 8 - z. Solve 0 = 4*n - j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/3)\/(4\/(-14)). Let r = 3 + p. What are the prime factors of r\/(-63) + (-180)\/(-7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3109 at least as big as -3104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*r - 16 = 0, -38*n + 34*n + 58 = -2*r. Suppose -i + 2*i - 3*j = 20, -3*j = 15. Solve q - i*q = n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 = 4*h, 0 = v + 7*h - 11*h + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:28 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/7 + 660*z**3\/7 - 837*z**2 - 108*z\/7 + 10044 = 0.\nAnswer: -3, 6, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -276289 + 501714. Suppose 4*j - 11*v + 9*v + 180370 = 0, -l = 5*j + 5*v. Round j to the nearest 1000.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.7 or -196\/5?\nAnswer: -196\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 101211 (base 3) to base 8\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*b**3 - 2*b**4 + 6 + 53*b**3 - 116*b**3 - 4 as m*b**4 + h*b + s*b**3 + a*b**2 + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/(2\/(-3)). Let y be (w - 0) + (-2 - -5). Suppose -5*r + 3*l + 60 = 0, -r + y*l = r - 24. What is the highest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3445, -7841, -12237, -16633, -21029?\nAnswer: -25425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 + 0*p**2 - 5*p + 1\/2*p**3. Let z(d) = -3*d. Calculate u(z(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 5*c + 13. Determine g(13).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48246 is divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/11, -0.2, 0.3, -12\/11, 33?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222 or -1021?\nAnswer: -1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o - 25, -2*q - 3 = -3*o. Let j = -4823 + 4851. Let w(d) = 9*d - j*d - q*d. Let y(h) = h**2. Give y(w(k)).\nAnswer: 625*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -155560*v + 5. Let k(s) = 155559*s - 5. Let a(o) = -5*k(o) - 4*n(o). Let p be a(-9). Round p to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(72) + sqrt(18))\/sqrt(6).\nAnswer: 2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -196 and -3746?\nAnswer: 734216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80883 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*i - 1028 = 0, -64 = i - 59. Calculate the smallest common multiple of 210 and h.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q + 41. Let g be o(5). Is (-25)\/(-10) - (-21843)\/g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 29*j**4\/8 - 3*j**2 + 14*j. Let g(r) = r**2. Calculate g(k(u)).\nAnswer: 7569*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-721)\/(-28) + -25)*8\/5. Suppose -2\/5*u**2 + x*u + 0 = 0. Calculate u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/12 and 9\/6*6\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 1.27.\nAnswer: 19.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose 1 = -v - h. Which is the second smallest value? (a) 1\/2 (b) 0.1 (c) v (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778927 less than or equal to 778880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1541 and 4087.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 + 127*l - 334*l - l**2.\nAnswer: -l**2 - 207*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d**3 + 26*d**2 - 23*d - 30. Let c(v) = 12*v**3 - 27*v**2 + 26*v + 30. Let s(y) = 6*c(y) + 7*j(y). Factor s(i).\nAnswer: -5*(i - 3)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 131*t - 4196. Let j be d(32). Sort 83, -6, 2, j in descending order.\nAnswer: 83, 2, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 25499778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, 93, 1010 in descending order.\nAnswer: 1010, 93, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336)*-2)\/sqrt(6) - sqrt(56))\/(sqrt(175)*-3))**2 + -5.\nAnswer: -117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 168 = r, -m - 45 = -2*r + 6. Let k = m - -65. What is the least common multiple of k and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/23 + 29*70\/46690?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 247, -7\/141, -0.04 in ascending order.\nAnswer: -7\/141, -0.04, 3, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1739*r - 54820 - 4306 = 0 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let u be i(-1). Let r(g) = 3*g**4 - 4*g**2 + 6*g. Let l(b) = -b**2 + b. Let w(f) = u*r(f) - 4*l(f). Find the second derivative of w(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccct when four letters picked without replacement from {c: 4, t: 2, k: 3, p: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 72 + 20. Let o = 30 + j. Suppose 3*z + 5*y = 5 + 19, o*z - 61 = 3*y. Solve 3 = 5*w + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d - a2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1821186 and -1036755.\nAnswer: -1036754.8178814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10021 (base 5) to base 14\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 32148 = 33*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9586 divided by -2489?\nAnswer: -9586\/2489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43968 divided by -1832\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*i + z - 12, 6 = 3*z. Let p(u) be the second derivative of -3\/2*u**2 + 0*u**4 + i*u + 0 - 1\/20*u**5 + 0*u**3. Differentiate p(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 539\/(-7150)*-10 + (-2)\/13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1041 by -3.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 27 = s, 4*s = -5*u - 61 + 195. Let a(p) = -p**2 + 12*p - 24. Let j be a(13). Let b = -34 - j. Solve -2*x - 7 = -5*k, -2*x = b*x + 2*k - u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 771075946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -22237378.\nAnswer: 3\/22237378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 - -1.7. Let y = -11.4 - n. Let h be ((-10)\/(-5) + -1)\/(-1). Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**3 - 412*y**2 - 4484*y - 4068 = 0.\nAnswer: -9, -1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {i: 4, u: 4, f: 1, k: 1, p: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 28*z - 41. Give y(-19).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 2*r + 224. Calculate the highest common factor of r and 1296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2 + 3. Let i be d(0). Let y(k) = k + k**2 + 0*k**2 - k**3 + 0*k**i + 1 - 6*k**2. Give y(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/7 in 2\/3, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 10:03 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14124 - -14123. What is the fourth smallest value in q, -129, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = -6. Let k = -3 - l. Let m = k + 5. Solve h = m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8476 + 9372. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**(1\/3))\/w))**(-20\/7)*(w**(-1))**47)**(-28) assuming w is positive.\nAnswer: w**(4268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0 + (-2 + 2 + 2)*(-1 + 1 + 1))*(4*b**2 - 6 + 6)*(-2 + 2 - b) as g*b**2 + j + u*b**3 + r*b and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -3. Suppose -d + 15 = 2*f, -3*f + 3*d + 40 = c. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.192 to 1 dp.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 2718234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27705 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -1 (b) 3\/2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**(-3\/14)\/g))\/(g*g*g*g**(-1\/3)*g))\/(g**(-16)\/g**3))**17 assuming g is positive.\nAnswer: g**(12529\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1055045 is divided by 99.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -38*a**2 - 4*a + 99. Let r(v) = -22*v**2 - 2*v + 55. Let u(x) = 4*j(x) - 7*r(x). Determine u(6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -146104445?\nAnswer: 146104442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {u: 4, r: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 1254.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.3 - -35.2. Let y = 4 + -1. Let g = y - 5. What is the nearest to h in 3\/2, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1045939 or 0.1?\nAnswer: 1045939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*m = -9*r + 99, -2*r + 3*m + 35 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 + 8*o + 2. Let y(k) = -15*k**2 - 15*k - 4. Calculate -11*l(a) - 6*y(a).\nAnswer: 2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -537 - -324. Let b = -212.988 - o. Round b to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-32 - -41 - (0 - -20))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*x - 3*x. Suppose -4*c + 13 = x. Suppose y - 6*y - 92 = -c*l, 3*l - 102 = 3*y. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 + 0*c**4 - c**4 + 7*c**3 + 3*c as p*c**2 + i + f*c**4 + l*c**3 + a*c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 96, 200, 300, 396, 488, 576, 660?\n\"Answer: -2*m**2 + 110*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -115\/3. Find the common denominator of d and 5\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 4*v. Let k be a(-5). Let b = k - 56. Find the common denominator of 235\/b + (-10)\/(-30) and -44\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.96983ns to hours.\nAnswer: 0.000000000183047175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by -7?\nAnswer: -122\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3061304994 to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-2 - -6) - -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5935369.4900006 + -5935369. Let w = t + -0.49. What is w rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.1, -1\/8, 207, -265?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*(-6)\/(-10). Let y = -18.2 - -14. Let g = y + -0.8. What is the third smallest value in 0.2, q, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**3 - 26*w. Let j be (420\/(-8))\/(-21)*(14\/10 + 1). Let p(k) = 17*k**3 - 53*k. Give j*p(c) - 13*o(c).\nAnswer: -2*c**3 + 20*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - (-3)\/(-6). Suppose c + 4*c = f. Suppose -4*a + 7 = u, c*a = 3*a - 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297 - -302. Solve 3*h = -r + 5, -h - 2*r + r = -b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/5 + 195\/25. Suppose h*y - 3*y = 80. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((-3)\/3 - -39). What is the tens digit of x\/(-16)*(-3 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001107333 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21987735.\nAnswer: 3, 5, 7, 11, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 62 = 2. Let d be (8\/(-12))\/(2\/(-9)). Suppose 0 = -d*u + 4 + 77. What is the remainder when u is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 304000 + 1313120?\nAnswer: 2122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -24. Let h be (-93)\/(-546) + (0 - (-2)\/g). Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijijii. Give prob of sequence ijii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let m(v) = -6*v - 16. Let h be m(-3). Suppose -n = 4*y + 14, -5*n + 20 + h = -3*y. Let j(w) = 2 + n + 23*w - 20*w. Calculate j(z(t)).\nAnswer: 6*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2657 > 1848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370 - 355. Calculate the highest common divisor of 20 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3 + 3, 0 = l + 3*j. Suppose -l*q - 2 = -5*q. Sort 5, q, -1, 3.\nAnswer: q, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 4*y - 87660, -y - 2679 = 2*g - 37746. What are the prime factors of g?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 8 - 161*m**4 + 21 - 4*m**2 - 3 + 4 to z*m + a + k*m**4 + r*m**3 + w*m**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose -b = -3*i + 122. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/27 and -49\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1, 2\/9, 38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.058 + -18.142. Let u = 19 + d. Let f = -0.8000038 + u. What is f rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4133 - -297.5133. Let a = 297 - g. Let m = 0.9 + 22.1. What is the smallest value in a, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 - 143. Let y(d) = 5*d + 315*d**h - 316*d**2 - 6*d + 4 + 8*d. What is y(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5440 and 296?\nAnswer: 201280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 17 + 0*b + 4*b - 4*b.\nAnswer: -2*b - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = -1. Solve -o = -2*a - a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 13*o - 75. Suppose u + 4*w + 5 = 2*u, o*u + w = 4. Let r = 39 - 28. Solve -2*b - u - r = -2*n, -14 = -n + 5*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35282 and 966184.\nAnswer: 12560392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/18, -1\/7, 4 in decreasing order.\nAnswer: 4, 1\/18, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 13*k - 321. Calculate l(25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8042? (a) -0.2 (b) -2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*w + 1 + (-2*w + w + 3*w)*(-1 + 2 - 2) + 0*w - 4*w + 2*w - w - 3*w - 2*w in the form z*w + u and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 8*d - 67)*(-1598*d**2 - 1441*d**2 + 13 + 2861*d**2).\nAnswer: -1424*d**3 + 104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/84 and 9\/(11 + 7)*(-47)\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 284894161 to the nearest one million.\nAnswer: 285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -3*l, 0 = -5*z - l + 28. Let k be z + 2\/((-1)\/1). Solve 1 + 8 = k*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55928 less than -142.2827788?\nAnswer: 55785.7172212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 55394*c. Let i(x) = 9*x**2 - 2*x. Give i(w(n)).\nAnswer: 27616457124*n**2 - 110788*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1623*v + 1082 + 2164 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 154.\nAnswer: -138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + 2.4. Let z be ((-5)\/(-2))\/((-6)\/12). Suppose 2*w = -p, 0 = 3*w - 24 + 18. What is the nearest to 4 in a, p, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101827 (base 12) in base 14?\nAnswer: -67a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 2, d: 14, p: 1}. Give prob of picking 1 p and 1 r.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 21*r + 18 + 12 - 54 to the form w*r + n and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 1, o: 2, z: 6, i: 1}. Give prob of sequence zu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4352540 to the power of 1\/2, to the nearest integer?\nAnswer: 2086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/5 - -2)*5. Let k(q) = -1 - 2 - 3 - q + 4*q. Let t be k(o). Solve t = -3*g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3125, 4328, 6351, 9194, 12857, 17340?\n\"Answer: 410*m**2 - 27*m + 2742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = -2. Let x(a) = a + a - i*a + a**2. Let r(f) = -f - 1. Let g(u) = -13*u**2 - 3*u - 3. Let t(w) = -g(w) + 3*r(w). Determine t(x(v)).\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1015 + -1422?\nAnswer: -2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*k + 17. Suppose k*r - 554 = 238. What is the smallest common multiple of 10\/1*(3 - 1) and r?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 14. Let x be (27864\/8127)\/((-5)\/(-2)*4\/(-35)). Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -14306.\nAnswer: -5\/14306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*n**4 - 86010*n**3 + 11943780*n**2 - 21400760*n - 4286400 = 0. Calculate n.\nAnswer: -2\/11, 2, 152, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 3*w**2 - 3*w**2)*(-3 + w**2 + 3) + (-4 + 1 - 1)*(3*w**4 + 2*w**4 - 3*w**4) to the form j*w**2 + c*w**4 + z*w + b + n*w**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/6 - (5 - (-26)\/(-6)). Does 34 divide 74*(-7)\/(28\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y**2 - 2*y - 2. Let x(w) = 29*w**2 - 5*w - 5. What is 11*q(o) - 4*x(o)?\nAnswer: -6*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6148425 a multiple of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5344239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-31)\/279 + 2\/18. Let b be (x - 1)\/((-16)\/36). Is b at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*k + 5*k**3 + 13*k)*(7*k**2 + 0*k**2 - 4*k**2) + 0*k**3 + 0*k**3 + 2*k**5.\nAnswer: 17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 514 divide 12504078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 318168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 267 + -802\/3. Let d = -0.161 + 0.361. Which is the closest to 1? (a) 0.01 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.723 + -6.513. Let t = y - -6.29. Put 20, -4, t in ascending order.\nAnswer: -4, t, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -507, -955, -1285, -1437, -1351, -967, -225, 935?\n\"Answer: 10*w**3 - w**2 - 515*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 2*d - 35. Give l(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39244, 39246, 39248, 39250, 39252?\nAnswer: 39254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-4*s**3 + s**3 + 0*s**3) + (0*s + 0*s - 4*s)*(s**2 + s**2 - 4*s**2).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1688589700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 4*u + 1. Let c(h) = 75*h**3 - 12*h**2 + 230*h - 2. Let y(w) = -c(w) + 3*t(w). What is the second derivative of y(d) wrt d?\nAnswer: -450*d + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 548991 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 3 + (0 - 2) - 2 - (-3 + 6)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n**(-4\/7)*n**(-4)*(n*n\/(n\/n**6))\/n)**23 assuming n is positive.\nAnswer: n**(-736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + 3 + 0 - 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r - 3935 + 3879 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**2 + 42*b - 82. Let i be t(2). Is i greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from dprcprdpprdpp.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 283 divided by 5\nAnswer: 283\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*m + 62566, 16*m - 3*a + 104325 = 21*m. What is the ten thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/4 + (-91)\/(-26). Let i(f) = -1 - 5 + 3*f**3 + 5 + f**w. What is i(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 9*g + 7. Let k be q(4). Suppose k*c - c = -d + 1, 2*d + 4 = 2*c. What are the prime factors of c\/4*1 - (-359)\/4?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.3. Let i = 1497\/11 - 136. Let d = -246 - -246.1. Which is the nearest to d? (a) i (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*a - 28, -h = -6*a + a + 35 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 162*j**5 + 90*j**5 - 344*j**5 - 3*j**5 + 3*j**4 - 2*j**4 + j**4 + (-j**2 + 2*j**4 + j**2)*(-2 + j + 2).\nAnswer: -93*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 15*l**2 - l + 14. Let h be m(15). Which is the nearest to 2\/9? (a) 3\/2 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**6\/2 + 3*c**5\/5 + 3*c**4\/4 - c**3 - 41. Let k(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 7:33 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.8736 - -4.16. What is q rounded to two decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**4 - 7*n**4 - 5*n**4 + (4 + 2*n**3 - 4)*(-n + 5*n - 3*n).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5312*p**3 + 8989*p**2 + 2?\nAnswer: -31872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 1952.\nAnswer: -1952.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**5\/30 - q**2 - 1. Let v(l) be the second derivative of w(l). Let t(c) be the first derivative of -c**3 + 1. Give t(v(k)).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 906 - 206. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 115 = -4*t + 120, -3*t = l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 459 + -459. Solve t = -3*w + 5*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-2)\/28). Suppose 5*i - 142 = 5*y - m, 4*i - 2*y - 100 = 0. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2. Let z(n) = 2*n + 23. Give z(p(a)).\nAnswer: -10*a**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -553*b + 4595. Determine g(8).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -37*y**3 - 6*y**2 - 20661*y + 20663. Give c(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8*2)\/(2\/16). Suppose -7 = x*d - 47. Solve -3*v + 2*v - 2 = 0, v = -d*g - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/((-2)\/18). Let n be 7\/(-9) - (-2)\/o. Let h = n + 3. Solve 0 = -h*m - 4 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 13 - 4)*(3 + 1 - 2)*(2*x + 2 - 2).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 - -142. What is the remainder when 125 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 - 32. Suppose -8 = -7*o + 3*o - 4*q, 2*o = q - 2. Determine n(o).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 6, h: 1, e: 5}. What is prob of picking 1 h and 2 y?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/5, 0.77, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.64459 micrometers in millimeters?\nAnswer: 0.04764459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 760 and 28082.\nAnswer: 561640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a8 - 7?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u. Let s be ((-42)\/(-8) - 6)*(-6 - -2). Let b(t) be the first derivative of -1\/3*t**3 + s + 0*t + 0*t**2. Calculate b(c(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-136885.\nAnswer: 2053275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.999242 - 1.0097. What is i rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8644*w**2 - 15*w - 4281*w**2 - 4296*w**2)*(-2 + 2 - 2*w)*(1 - 1 + 2) to the form g*w**3 + b + m*w + r*w**2 and give g.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 12*k + 42. Let g be t(3). Put 3, g, 1, 8 in descending order.\nAnswer: 8, 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Suppose -y = -2*d - 1. Let n(z) = 3601*z**2 - z. Let m be n(d). What is m rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 divided by -35270?\nAnswer: 91\/35270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 273.\nAnswer: -21.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10. Suppose 3*j + 5*o + 0*o + 4 = 0, j = -3*o - 4. Suppose 5*n - 5*u = -j*u + 94, n + 5*u - 30 = z. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*f**3 - 39*f**3 + 2 - 22*f**3 + (3*f**2 - 4*f**2 + 2*f**2)*(2*f + 5*f + f).\nAnswer: -16*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 202210 (base 3) to base 15\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5707*t - 776*t - 2198 + 110680 = 0 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -20. Which is the closest to 2? (a) d (b) -0.3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2540935637.9999931 - 2540935750. Let w = -0.1503 - -112.1503. Let s = w + v. What is s rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.706041692 to two dps.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 13. Let i be v(9). Suppose i*j + 4*l = 16, -l + 36 = 5*j - 0*l. What is the remainder when 15 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 34 = 2*s. Let r(m) = 5 + 21*m**3 + 0*m - s*m**3 + m**2 + 0*m - m. What are the prime factors of r(3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + (-4 - -6) - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 36*o**3 + 2*o**2 - 17*o - 30. Let r be c(-2). Find the common denominator of ((-27)\/6)\/((-26)\/6) and (-92)\/r - 106\/(-60).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) -0.5 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22330.1665+-487.52\nAnswer: -22817.6865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2*m**3\/3 + 5*m**2\/2 + 1. Let s be ((-13)\/(-2) - (-14)\/28) + -2. Let k(l) = 2*l**2 + 6*l. Determine s*x(z) - 4*k(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18 and 77\/51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 + 1.23. Let u = q + -1.127. Let z = u + 0.057029. Round z to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 4*d - 20 = -4*g, -5*d = -5*g + 35 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-7776)*-81*1\/((-42)\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140\/57 + -11453\/3990. Calculate the common denominator of g and -47\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/10)\/(1 - 36\/(-20)). Let r = -16 + 0. Let q = 16.02 + r. Which is bigger: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 + 0 + (-410)\/(-246). Calculate the highest common divisor of 164 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*s = -s + 2, -2*r + 2*s = 0. Let h be (-5)\/20 + 5\/4. Suppose r*l - 9 = -h. Calculate the highest common factor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 17*d - 250. Suppose 0 = 3*y - 8*y + 1375. Calculate the highest common divisor of d and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2056, 4167, 6270, 8365, 10452, 12531, 14602?\nAnswer: 16665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 89412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:05 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4499 and 21332213.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 24 - 8. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47707373 is divided by 113860.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2415)\/525)\/(-1 - 154\/(-155)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1021490407 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.3513?\nAnswer: -1.4052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-370)\/296 + 36\/16 + -1. Let d = 175 + -79. What is the units digit of (d + s)\/1 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:18 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s - 6*s - 14*s + 11 - s. Calculate l(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*q**2 + 9*q - 21*q**2 - 10*q.\nAnswer: 41*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -21\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23072*c - 13 = -23071*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299335 by -62.\nAnswer: 299335\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -428627 + -251915. Let u = -2950542 - i. Round u to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 452713.1 millennia?\nAnswer: 4527131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**4 - 3935*h**3 - 776175*h**2 - 772245*h = 0.\nAnswer: -393, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958 <= 98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g + 1198900 - 1198900.\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89226800 rounded to the nearest one million?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 374.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.021446\nAnswer: 0.0042892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*o + o**2 - 2*o**3 - 73*o + (2*o**2 + 5 - 5)*(1 - o - 1))*(0 - 3 + 1) + 0*o**3 - 3*o**3 + 0*o**3 + 20*o**3 + o**3 - 5*o**3.\nAnswer: 21*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one twentieth of a hour?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -11. Solve 5 = -q*y - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 101, 3, -0.4, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 7*i**2 + i + 10. Let s be m(-7). Suppose 4*a = -2*y + 30, s*y - 4*a - 90 = -a. Solve -y = 3*h + 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/304 and 41\/8740.\nAnswer: 34960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13107, -66, -0.4, -1, 1, 0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*x**2 + 2*x**3 + 7 + 2 - 12 + 3 as n*x + c + h*x**2 + k*x**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/5))**5\/(p**6*p*(p*p*p\/(p*p*p\/(p\/(p*p*p**(2\/29)*p))*p*p))\/p) assuming p is positive.\nAnswer: p**(292\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2 - 4*k + 5. Let i(y) = -2*y**3 + 17*y**2 - 12*y + 191. Let a be i(9). Calculate p(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 378 - 192 - 5*m - 191 to the form h + w*m and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -49. Let c = 26 - j. Let u(d) = 3*d - 15. Let z be u(c). Solve 0 = -5*p - 2*m - 7, 3*p + 2*m - 2 = -z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104.4 - -8.6. Let y = -112.99919 + d. Round y to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l. Let f be o(0). Let n be 2 - (-2 + -19 - f). Suppose -5*c + 32 = -n. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -r + 2*r + 14, 12 = 2*r - 2*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*c + 11 = -6, 0 = -x - 4*c - 10. Suppose -32 = -z - 5*s, -2*z + s = 3*s - 24. Let r = x + z. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/((0 - 5)\/5). Let m(h) = 3*h**2 + 103*h - 67. Let t be m(u). Let b(j) = -8*j**3 + 1. Let i be b(-1). Is t not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 7. Let m(w) = w**3 + 6*w**2 - 8*w + 5. What is the units digit of m(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4778*y**3 - 4*y**2 = 0. Calculate y.\nAnswer: 0, 2\/2389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 3*h - 2*o, -h - 4*o = -10. Let s be 675\/(-25)*(-26)\/h. What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**5\/20 - 29*x**4\/12 - 9*x**3 + 21*x**2 + 4*x + 16. Is b(-27) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -t - 12, 2*f - 2*t - t = 8. Suppose 4*a + f = 0, a + 52 = 4*r + 3. Solve -16 = h + 5*x, -2*h + 5*x = h - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15098724 and 1548.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 42, 1\/8, 1, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 21*z**5\/2 - 5*z**4\/12 - 4*z**2. Let s be j(-5). What is s rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 10 = -18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p**2 + 3*p**2 + p**2)*(3009*p - 67*p**2 + 189*p**2 - 58*p**2 - 62*p**2).\nAnswer: -6*p**4 - 9027*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/16*(-8)\/6. Suppose -2*h + b*i + 24 - 78 = 0, 3*h + 3*i = -63. Let r = -20 - h. Calculate the smallest common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {n: 3, h: 15}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 238877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1830 and 63?\nAnswer: 38430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*(i\/i**0)\/i)\/i)\/(i**(-32)*i) assuming i is positive.\nAnswer: i**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 203134 (base 5) to base 11\nAnswer: 5013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -190 + 106 + 34?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -21. What is the third derivative of -4*w**m + 3*w**2 - 3*w**6 - 13*w**2 wrt w?\nAnswer: -840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8028\/618 + 15\/1545?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*v - 162, 4*v - 3*p + 2*p = 318. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**3*w - 759*a**3 + 4*a**2*w**2 + 38*a*w wrt w.\nAnswer: -2*a**3 + 8*a**2*w + 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14490075 divided by -2898015?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 102. Let x(f) = 5*f - 203. Let v(s) = -5*q(s) - 3*x(s). Does 18 divide v(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.51885445 + -3041444?\nAnswer: -3041446.51885445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 19. Let j be 6\/(-42)*-35*(-2)\/(-10). Let a be (u\/j)\/(7\/(-154)). What is the highest common divisor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0, 2\/5, 2\/37, 0.3, -1\/4, 23.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 23. Let h(b) = b**2 + b - 23. Give 2*h(y) + 3*p(y).\nAnswer: -y**2 + 2*y + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**2. Let w(n) = 26*n**2 + 3. Determine x(w(y)).\nAnswer: 4056*y**4 + 936*y**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -205 (b) -5 (c) 1\/2 (d) -706 (e) 2\/17 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730594296.\nAnswer: 2, 3, 3382381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/30 - t**4\/24 - 14*t**2. Let m be l(1). Suppose 4*v = v - 3. Sort m, v, 1 in descending order.\nAnswer: 1, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 - 552429*j**2 - 5524515*j - 13811475 = 0. Calculate j.\nAnswer: -5, 184153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34392 = -3596*f - 21556 - 109928 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -c + 2*t, 19*c - 16*c - 14 = -4*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(2\/60). Let f be 2\/(8\/k)*6. Let g be 33\/30 - (-6)\/f. Is 1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20708 - 5084. What are the prime factors of x?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**3 + 2546*n**2 - 64798*n + 62244.\nAnswer: 2*(n - 1)*(n + 342)*(4*n - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11524021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 1105.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -167677 (base 10) to base 12\nAnswer: -81051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v = 0. Let h be (-7)\/(-3) + v + -2. Which is the closest to -2\/3? (a) h (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + 49?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79650 = -1400*j - 39*j - 29285 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s**2 + 3*s + 1. Let g be p(3). Let d = 1 - g. Let x be (4\/(-15))\/(-2*(-1)\/6). Is x bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**2 + 3*a**2 - 2 - 13673*a**3 + 2.\nAnswer: -13673*a**3 + 21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 3, 2\/11, 2, -0.4, -4, 284?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q - 3 = -28*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 2*a + a)*(-964 - 1305 - 1968 - 3494 + 988).\nAnswer: -26972*a + 6743","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1715 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(-4 - -76)\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let d be 5\/4*6\/(-10). Sort n, d, 1\/4 in decreasing order.\nAnswer: 1\/4, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 5*g - 1063 + 1083, -16 = -f - 3*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.8? (a) 0.2 (b) 11 (c) 0 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 20*p - 22*p + 20.\nAnswer: -2*p + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.85. Let j = 2.35 + t. Let r = -0.013 + -2.587. Put j, r, -0.4 in increasing order.\nAnswer: r, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 5*a - 50, -1340*a = -b - 3*b - 1343*a + 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 g when three letters picked without replacement from {g: 6, u: 6}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-20)\/c))**(3\/11)*(c**(-2\/15)*c*c)\/((c*c**(15\/7)\/c*c)\/c) assuming c is positive.\nAnswer: c**(601\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21938*g + 713 = -21961*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/9)*t**(-7))\/(t**(-1))**13)\/((t**(4\/3)*t*(t**6*t*t)\/t)\/(t**(-1)\/t)**47) assuming t is positive.\nAnswer: t**(-877\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 10*n**2 + 11*n - 13. Determine r(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 573640 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. Let v = 2 + t. Let i = 7744\/3 + -2583. Does v = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21274 (base 8) to base 15\nAnswer: -297c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 182?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 27d2?\nAnswer: 27d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**8*g*g**(-15) assuming g is positive.\nAnswer: g**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -201, 7 in ascending order.\nAnswer: -201, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115980210 and 438.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89 + 20*v**4 + 2*v**3 + v - 3*v - 88 + v to g*v**2 + q + d*v + s*v**4 + f*v**3 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 16 = -b. Let g = -8 - b. Solve -2*k + g*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112755 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n**(-19)\/n)*n**16)**(-2\/23))**(-40) assuming n is positive.\nAnswer: n**(3120\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 1. Let x(o) = 3*o + 4. Determine 17*a(w) - 6*x(w).\nAnswer: -w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t = -106*t - 5, 0 = 4*m + 8*t + 60 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - 4*a - 9. Determine k(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 + 96*f + 18576\/5.\nAnswer: -(f - 516)*(f + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 2, q: 1, l: 2, m: 1}. What is prob of sequence qwc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 + 9*y**3 + 1276*y**2 - 19380*y = 0.\nAnswer: -38, 0, 17, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 318820 divided by 4\nAnswer: 79705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*k - 6857 + 5092 = -4925 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 5*h**3\/3 - 2*h**2 - h + 2. Suppose -3*c + 45 = 9. Let v(t) = -t. Calculate c*v(z) + j(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o + 12. Let q(u) = 1. Let j = -6891 - -6889. What is j*f(l) + 22*q(l)?\nAnswer: -12*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28962.\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-26) + 84\/(-39). Let y be 2\/(-3) + g\/(-3). Suppose y = 5*h - 12 - 13. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:57 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, u: 5}. What is prob of sequence cu?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 43*l**4\/12 + l**3\/2 - l**2 - 2*l. Calculate the remainder when r(1) is divided by 1 + 16 + 1 + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**4\/6 + 4*b + 2. Let z(p) = -89*p**2. Give z(t(f)).\nAnswer: -356*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d + 16*d + d**2 + 4 - 19*d. Let i be g(20). Let z be i\/8 - 34\/(-4). What is the greatest common divisor of z and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065482111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 3, j: 2, o: 3, b: 1, s: 2, t: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448))*-1 + sqrt(2448) + sqrt(2448).\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*c - 41 = -2*p, -5*p + 2*c = 63. Let x be -1*p\/1 + 2 + 2. Let b = x + -15. Put -8, -2, b, -3 in decreasing order.\nAnswer: b, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifppdptetit. Give prob of sequence fitp.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 39 - 7965*i + 42.\nAnswer: -7965*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 2*l, 3 - 40 = -5*l - 3*v. Suppose -d + l = -2*i + 4, 0 = 2*i + 3*d - 19. Solve -4*x = x + 20, -i*n = -4*x - 18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 24215 = 5*u, 2*d = 3*u + 5736 + 3930. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -532 - -532. What is the third smallest value in a, 388\/3, -0.4, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -47*c**2 - 5*c + 957 - 472 - 480. Let f(u) = -23*u**2 - 2*u + 2. Determine -5*f(z) + 2*y(z).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o - 3*o + 10*o - 10*o + 685 - o to k*o + p and give p.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 15. Let d = -660 + 661. Let s(b) = b + 1. What is d*r(f) - 15*s(f)?\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.65 - -0.5. Let j = -6.85 + v. Let w = j + 7.2. What is the closest to w in -0.4, -2\/21, -0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -28, 0 = -2*w - 166*z + 161*z + 145. Solve -34 = 107*a - w*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7644, 15364, 23098, 30846, 38608, 46384, 54174?\nAnswer: 61978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 5327, 19117, 46265, 91223, 158443, 252377, 377477?\nAnswer: 538195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456\/(-9)*1*43*78\/4472.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 1405 = 305. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*a + 508, -282 - 19 = -3*a - 2*f. Let l = -64 + a. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 + 41*d**2 - 596*d + 11534. What is z(20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 + 138*x - 138*x + 2*x**3)*(-5 - 4 + 28 + (-4 + 2 + 1)*(3 - 1 + 1)).\nAnswer: 32*x**3 + 96*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 at least -10911\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, -4, 1, -1670?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 2*b - 2*b**2 + 4 + 3*b + 3*b - 7*b. Calculate the remainder when 27 is divided by j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109319165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1010, 2, 2\/7, 0.2, 10, -18 in increasing order.\nAnswer: -18, 0.2, 2\/7, 2, 10, 1010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3942998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y + 27. Let g be j(4). Which is the third biggest value? (a) 3\/5 (b) 4 (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 z, and 1 w when three letters picked without replacement from aazaaaawzrw.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 10:21 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -149930 divided by -2726?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -8. Let y be -5 + (3 + f)*0. Let r(k) = k. Let w be r(y). Which is the third biggest value? (a) 4 (b) w (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24905, -49849, -74807, -99785, -124789, -149825, -174899, -200017?\nAnswer: -225185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/2 - (-567)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a + 10. Let z(b) be the second derivative of -b**4\/24 - 2*b**3 - 19*b**2\/2 + 4*b. Let x(q) be the first derivative of z(q). What is x(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 33*u**3 - 6*u**3 - 59.\nAnswer: 27*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 32920*x + 177753324.\nAnswer: -4*(x - 3719)*(x + 11949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3\/6 + 4*o. Calculate v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - i. Suppose 50 = 5*b - 145. Let t be b\/65 - (-6)\/15. Let k = -7 - 1. Let d(y) = -10*y**2 - 8*y. What is k*o(u) + t*d(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6364028 times 174\nAnswer: -1107340872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29015, 115782, 260299, 462566?\nAnswer: 722583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 310840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112613006105\/37344 + -96497651\/32. Let t = 1\/2334 + u. What is the common denominator of (150\/80)\/(54\/(-40)) and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16807231*j - 16807231*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -4*j - 2*l, j - 5*l - 100 = -0*l. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 4 - -4)*-3. Suppose -18 = 3*r - l. What is the units digit of (-45 - 1)*3*r\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -9) + 5 - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11309?\nAnswer: 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 17. Suppose 4*q + 58 = 3*z, 0 = -4*z - 4*q + 109 - 41. Solve -15*l + z*l - 6 = s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9215173 centimeters to micrometers.\nAnswer: 9215.173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 1001798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0062 and -0.39.\nAnswer: -0.002418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 9*w**2 + 5*w - 18. Let a be j(-8). Let c be (-3 - 24\/(-9))*(a + -3). Which is smaller: -8 or c?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - y = -88, 5*q - 3*y = 136 - 43. Solve q*p - 40 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02866278 - 0.0286. Round x to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*s + 2*s - 2*s to y*s + l and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121874 to the power of 1\/2, to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -18 + (0 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.033892+-2015543\nAnswer: -2015542.966108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 13*n**2 - n - 13. Let k be x(-13). Suppose 4*r - 2*r + 5*z - 41 = k, -4*z - 12 = -4*r. Solve 0 = d + d - r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:30 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:32 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q + q - q + (4*q + 3*q - 5*q)*(5 - 4 + 0) - 3*q - 3*q + 5*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 92\/7, -0.2, 5\/3 in decreasing order.\nAnswer: 92\/7, 5\/3, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:25 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 12972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(187)*1 - (sqrt(187) - (sqrt(187) + -1*sqrt(187))*1))\/(1*2*sqrt(11)*-2)*1.\nAnswer: -3*sqrt(17)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v, -5*v = -3*k - 46 - 70. Let o be (-1)\/2 - 4048\/k. What is the highest common factor of 28 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k = 21. Let v(t) = -t**3 + 7*t**2 + t. Let b be v(k). Suppose -4*h = -b*h + 15. Solve -2*f + h + 3 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19*i**2 - 5*i - 5. Let a(m) be the third derivative of -19*m**5\/60 + m**4\/4 + m**3 + 349*m**2. Determine -5*a(n) - 6*q(n).\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 18 + 10. Suppose 1 = i*h - 5. Is 640\/100 - h\/(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 2*z**2 - 3*z + 3. Let x be i(2). Let w(c) be the third derivative of -c**6\/120 - c**5\/30 + c**4\/6 + c**2. What is w(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 10) in base 4?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*b*d*f**2 - 396*b*d + 107*b*f**2 + 2*b*f + f**2 + 746*f + 1 wrt f.\nAnswer: -318*b*d + 214*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(2*1*sqrt(228) - sqrt(228))\/(-1*sqrt(300)))*3.\nAnswer: -9*sqrt(19)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 > 175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 9600000 = 0. Round a to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 28 + 2 - (-4 + 18 - (-9 + 0))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388836 and 504?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2\/(-6)*1\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 12. Suppose 0 = t - 5*q + 2*q - 1, 5*t + 4*q + 14 = r. Let m be (-10)\/((t + 3)*2). Let f(z) = -z**3 - 7*z**2 - 6*z + 6. Give f(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29767 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 143770 and 0.067984563.\nAnswer: 143770.067984563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.41 and -26.\nAnswer: -10.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2\/(-7) - (232777\/(-21) + 22\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -554 and -836 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (723 - 434 + 6836 + 8769 + 1294)*(-4*l**2 - l**5 + 4*l**2).\nAnswer: -17188*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34460936 divided by -4?\nAnswer: -8615234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740703103?\nAnswer: 3, 239, 787, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 192, 721, 1602, 2835, 4420?\n\"Answer: 176*h**2 + h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 110 = -5*p, -4*p - v = -0*v - 79. Which is smaller: -31 or p?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 4*w - 6. Let m be j(3). Solve 5*y + m - 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 46728504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -84, -3\/10, -2\/3, 0.7, -0.4, -180, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394149 is divided by 197058?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22701 and 3055.\nAnswer: 1475565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 116\/16 + (7\/4 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49297, 197143, 443571, 788581?\n\"Answer: 49291*l**2 - 27*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*g**2*v**2 - 635*g**2*v + g*v**2 - 4*g*v + 550*v**2 wrt v.\nAnswer: -30*g**2 + 2*g + 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, r: 2, t: 1, e: 1, k: 1}. What is prob of picking 2 x, 1 e, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1533 = 4*x, 36*t = 40*t + 5*x - 2044. Calculate the lowest common multiple of 146 and t.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 25*g - 1996, 151*o - 322 = -151*o + 304*o - 4*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m - 7. Let v(q) = -q. Let a(b) = 6*v(b) - w(b). Let u = -5 + 12. Calculate the remainder when a(u) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g + 2)*(0*g - 5*g + g)*(4*g**3 - g**3 - g**3).\nAnswer: -16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368779 - -24708192\/67. Suppose 2*y + 14 = 5*c, -5*y + 2*c - 6 = 4*c. Let w be 5\/(30\/(-16)) - y. Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 12:45 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 28 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -10, 10, 46, 104, 190, 310?\n\"Answer: g**3 - g**2 + 6*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {h: 2, w: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0017019392 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:06 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*o - 20 = 0, 58*l - 60*l + 36 = 3*o. Solve -32*a - l*a = 188 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - c + 45 - 99 = -44, -54 = 3*w + 15*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5*25\/30*(-21)\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, -5, 1 in descending order.\nAnswer: 118, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) - -4*(-3 + sqrt(108)))**2 - -6*-1*sqrt(108)) + (sqrt(3) - (sqrt(3) + 0)**2*-5) + 4*(sqrt(147) - sqrt(3)) + -3.\nAnswer: -2832 + 715*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -0.393, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 14*d - 40. Let x(w) = -w**2 + 12*w + 39. Let p(y) = -3*j(y) - 2*x(y). Let b be p(20). Let t(q) = 2*q**3 - 2*q**2 - 2*q + 1. Calculate t(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) + 0 + 11\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 443830 from 955.\nAnswer: -442875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 5*n**2 - 7*n + 2. Calculate m(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1585*u - 3538. Calculate i(-3).\nAnswer: 1217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -5, -439 in ascending order.\nAnswer: -439, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6036015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(224) + sqrt(56))\/sqrt(8).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 3)*(-74 - 124 + 204 - 70*u) in the form t*u + w and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(7)*4)\/(sqrt(648)*2).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d + 2*d)*(0 + 0 - 4*d**2) - 2*d**3 + 2*d**3 - d**3 + 3*d**3 - 6*d**2 + 4*d**2 - d**3 - 16*d + 10*d**3 + 16*d.\nAnswer: 7*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 82, 151, 220, 289?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*w**2\/9 + 422*w\/9 - 220\/9.\nAnswer: -2*(w - 10)*(20*w - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*d - 28011 = -2739. What is the smallest common multiple of 288 and d?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.17 (b) -14 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12363, -24732, -37113, -49512, -61935, -74388, -86877?\n\"Answer: -n**3 - 12362*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22342205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 + 3*w - 3. Let k(v) = -v**2 + v - 1. Let m(o) = -i(o) + 3*k(o). Let q be 35\/(-5) + 2 + 41. Let f(y) = -73*y + 38*y + q*y. Give f(m(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135733536 to the nearest integer?\nAnswer: 11650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 + 5. Let j = 14 - 3. Let y = 10.6 - j. Which is the closest to -1? (a) y (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 1. Let b be l(-2). Let u(a) = -3*a**3 + a**2 + a - 2. Let v be u(b). Does 18 divide 3 - (0 - v) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.71, -16, -0.5, -5\/16 in decreasing order.\nAnswer: 0.71, -5\/16, -0.4, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**8\/504 - 2*a**7\/315 - a**6\/30 + 2*a**5\/45 + 13*a**4\/36 + 2*a**3\/3 + 16*a**2 - 24. Factor n(i).\nAnswer: 2*(i - 3)*(i - 2)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*j + 144 = 4*b, 2*b = -5*j + 90. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 733575\/21 + 6 + (-1)\/7. Suppose -5*u + r = 11*o - 7*o, 3*o = -3*u + 20961. Let x = -433399\/62 + u. Find the common denominator of -21\/4 and x.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-9000)\/285) - 9\/(-72).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 864*p*u + 123*u - 3 with respect to p.\nAnswer: 864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 47*f + 502. Give m(-10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-18)*-3)\/(-2). Let u = -1 - -0.8. Let k = -0.1 + u. Which is the nearest to 2? (a) -0.5 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = 28*f - 4955. List the prime factors of f.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2, -10, -184.\nAnswer: -184, -10, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.955 and 72.\nAnswer: 71.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-3 + -1 - -7). Suppose -t - a*t = -60. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/17 - 2*z\/17.\nAnswer: 2*z*(z - 1)*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/(b\/(b\/((b*b**(-13))\/b))) assuming b is positive.\nAnswer: b**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 47. Suppose -s = s - z. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/298713 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 80\/252599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250 + 120 - 254 + 22*q.\nAnswer: 22*q - 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000141131 rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 164, 23, 2, 0, -2\/223?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 97, 161, 189, 181, 137?\n\"Answer: -18*n**2 + 118*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1053 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5956080 and 13?\nAnswer: 5956080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, b: 3, a: 3, l: 1, z: 1}. Give prob of sequence bba.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6\/t**(-2\/9))**(1\/35)\/(t\/(t\/(t*t**6*t)*t)*((t\/t**(-2))\/t)\/t)**(-1) assuming t is positive.\nAnswer: t**(368\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y - 6 - 10*y + 18. Let k be t(-10). Suppose -3*o - i = -101, 3*o + k*i = 4*i + 86. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0505 to two dps.\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.8224 micrograms in tonnes?\nAnswer: 0.0000000009728224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 4:46 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 + n - n)*(0*n**3 - 3*n**3 + 5*n**3) + 5*n**4 - 2*n**5 - 5*n**4 + 10*n**5 - n**5 - 2*n**5.\nAnswer: 17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -504 - -37792\/75. Which is greater: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56.4 - 57. Suppose -4*g + 22 = -118. Let i be 15\/g*(-7)\/(-2). Which is the fourth biggest value? (a) i (b) 0 (c) u (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7145 + 7180. Solve -592*h + 599*h = -g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 79772\/47 and 1697 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -11*a + 779. Calculate the remainder when a is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 297240*z**2 - 1188948*z - 1188944.\nAnswer: -(z + 2)**2*(z + 297236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = l - 0*r + 5, 3*l + 2*r = 27. Let s be l\/(294\/9)*(0 - -2). Factor s*y**3 + 18\/7 + 33\/7*y + 18\/7*y**2.\nAnswer: 3*(y + 1)*(y + 2)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4429691?\nAnswer: 7, 632813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5959 + 6073.56. Let s = 114 - k. Let w = -0.312 - s. What is w rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:08 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f - 5. Suppose -4*l - i = -l + 7, -5*l = -2*i - 3. Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = 5*h - 0*a + 2*a, 415 = -5*h + 3*a. Let p be h\/26 + 2 + 1. Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.9 - 2.9. Let q = x - 46.53. Let l = q + -0.397. What is l rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/191335291 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4 - 8703366*h**3 + 6661357*h**2 wrt h?\nAnswer: 24*h - 52220196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 605119\/10 or 60513?\nAnswer: 60513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 758575872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Let z = 11.6 + -6.6. What is the closest to -1 in a, z, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1.899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-5))\/((-8)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*h - 0 - 1, -3 = 3*h - 2*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -18. Let m(g) = g**3 + 3*g**2 - 4*g - 4. Let l be m(-3). Let t = 975 + -972. Solve t*h - k = l*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from eiit.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*g - 473, 0*k + 5*g = -k - 101. Let j = k - -118. Solve 4*m - 6 = -j*n, 4*n + m - 9 = -4*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149279580 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p = 15*p + 604 + 708 + 1568 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 2)\/4*-3. Let w = a - 1. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-6097)\/91)*4\/2.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 816 + -850 + (-1 - -33).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from waww.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.550406 + -2.5371. Round g to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(2 + 3*(-12)\/27). Suppose t - 4*w = -3*w + 56, i*w - 148 = -3*t. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = l - 74134, -3*l + 114 - 74256 = -4*t. Let f = t - 667289\/36. What is the common denominator of f and -49\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 24. Let r(c) = -c**2 + 20*c - 19. Let a be r(19). Let h be m(a). What is the remainder when ((-7)\/(-3))\/(-1)*h is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 236119*z**2 + 236494*z**2.\nAnswer: 375*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*l - 20 = -207*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**2 + 359*u - 217. Calculate l(-61).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16667 (base 12) to base 10\nAnswer: 32047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**3\/6 + 1568*w. Let l(t) = -37*t**2. Give l(a(k)).\nAnswer: -37*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x - 54 = -111 - 1239. Calculate the lowest common multiple of 144 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 47\/5?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 3, 2, -2866, -86\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from kqqhqkhkhkk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*l, 0*l + 4*l = -3*j + 21. Suppose 0 = 5*s + 5*r - 15, l*s - 2*r - 2 = 2. Let d(f) = 86*f - 3. Is d(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 37123*r + 1483310. Determine k(40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1601, -3275, -4959, -6659, -8381?\nAnswer: -10131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4304156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 940381 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-6))\/((-2)\/(-4)). What are the prime factors of (70 + -1)*j\/18?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*q - 0. Let g(t) = 21*t**2 + t - 1. Calculate the remainder when g(1) is divided by (6 - -5) + q + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27\/46 - 605\/874. Which is the nearest to 0.1? (a) -4 (b) 3\/2 (c) 1\/21 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 8*u. Let b be i(8). Suppose b*h = -4*h. Suppose 3*l - 5*c = 60, -33 = -2*l + c - h*c. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6517656.\nAnswer: 2, 3, 90523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012221221000 - -1?\nAnswer: -100012221220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 570143447 to the power of 1\/2, to the nearest integer?\nAnswer: 23878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42458423 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.63701174 - 0.637. What is v rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5311120 to the power of 1\/2, to the nearest integer?\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/248 - 30\/96?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:51 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75697049 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-30)*(-10 - (-125)\/12). Which is the smallest value? (a) 3\/14 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-220)\/(-6)*(-36)\/(-30). Suppose 29*m - w = 159. Solve 4*u - m + 15 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y - 22. What is the lowest common multiple of o(2) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 7 = 2*z + 13, -5*b + 4*z = -1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*l**2 - 18 - 181*l**2 + 62*l**2 - 13 + 65*l**2 in the form z*l + h*l**2 + o and give o.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -966, -966, -956, -930, -882, -806, -696, -546?\n\"Answer: x**3 - x**2 - 4*x - 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 8*o - 7. Let w be u(6). Let b = -9 + w. Let h(r) = -r**3 - 2*r**2 + 7*r + 6. What is the remainder when h(b) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 37 - 126*b - 121*b + 249*b + 5. Let n be p(-17). Solve -d + n*d = -35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6676963837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 0*h**2 + 2*h**2 + (2*h**2 - 3*h**2 + 2*h**2)*(2 - 2 - 2) + h**2 + 4*h**2 - 4*h**2 - 7 + 9 - 1 + h**2.\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -1 (c) 1015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (-8 - 13) + 1 + 1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgu when three letters picked without replacement from {u: 8, n: 1, w: 1, g: 3, o: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 8 + 8 + 1749*x + 3654*x - 5403*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.03004 (b) -5\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46733104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (8 + (3 - -1))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/19 (b) 0.1 (c) -4 (d) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224 - -70. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 + 4. Let f be (-70)\/(-17) - (-48)\/(-408). What is a(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/22 - (-2)\/4. Let n = 356\/5 + -71. Let x = 1.2 + -0.2. Which is the nearest to n? (a) v (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a - 4*d - 58 = 0, -3*a = -5*d - 40. What is the remainder when 26 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/3 + 6*f**2 + 32*f\/3 + 5 = 0 for f.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 6:43 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 2*((-255)\/(-30) - 6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from hnvtu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918786, 918814, 918842, 918870, 918898, 918926?\nAnswer: 918954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -9272 and -9272 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/24 + 19*x**3\/6 - 5*x**2 + 5. Let s be a(7). Solve -s*d = -10*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 8. Let b be (-9)\/2 - 3\/s. Let t = 6 + b. Solve 5*m - m = -r - 15, -t*r - 21 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*d**2 - 8*d**2 + 60*d**2 + 2 + 15*d**2.\nAnswer: 106*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-7) - (2*14623\/(-98))\/1. Solve -235 = 9*i - v for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7178 + -5011. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1253)\/(-179) + (4 - 0). Suppose 6*y - 308 = -y. Calculate the greatest common divisor of m and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqquddudsnquffdqqq. Give prob of picking 2 q, 1 s, and 1 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v**2 - 19*v - 75. Determine t(-6).\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 + 17. Let x = o - 21. Calculate the remainder when x is divided by (-9213)\/(-332) - 9\/(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29245*i*n**5 - 2*i*n - 12*n**2 + 571124*n wrt n?\nAnswer: 584900*i*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2448 - 2452. Sort -3, 5, s, -175, 3.\nAnswer: -175, s, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4 - 14654*n**3\/7 - 2256620*n**2\/7 - 91936*n = 0.\nAnswer: -136, -2\/7, 0, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 26*d + 120. Let l = -23 - d. Let p = 1 - 0. Solve -2*w = p + l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:46 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 115. Let n = 19 - 18.77. Let a = -0.07 - n. What is the closest to 0 in -2, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -114*(3 + 39\/(-9)). Let f = u - 145. Calculate the remainder when 37 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 - p**2 - 2*p - 1. Let l be q(2). Is l smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 2*y**2 + 4845*y**3 + 234558*y**3.\nAnswer: 239403*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 + 229 = u + 76*u + 9*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 28*b - 2. Let t be s(3). Let r = 38 + -29. Let i = r + t. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140314 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 171 + 2*x**2 - 171 - x**2. Let u(b) = 3*b**2. Give q(u(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 11, l: 1}. What is prob of picking 3 s and 1 l?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3704 + 3706. Suppose 0 = 2*l - 5*g - 9, -g + 0 - 1 = 0. Suppose 0*b + u*b + 4 = -z, l*b = -4*z + 2. Solve -3*s - z = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2. Let s(g) = 0*g**2 + 2 - 10 - g**2 + 12*g - 3. Let m be s(9). Let n(z) = -2*z**2 + m*z - 16*z. Determine n(b(h)).\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 400, 618, 888, 1228, 1656, 2190, 2848?\nAnswer: 3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 32481 = 4*v, -24144 - 1840 = -4*t + 4*v. Let c be (t\/3 + 1)\/(6\/14400). Round c to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 633657 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*3\/6*-2. Let c(r) be the third derivative of -r**7\/2520 + r**6\/360 + r**5\/30 + 9*r**2. Let x(i) be the third derivative of c(i). Calculate x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 646 - 620. Solve 48*r - 35*r = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - d**2 + 1. Let m(a) = 624*a**3 - a**2 - 2*a - 2. Let k(u) = -2*i(u) - m(u). Is k(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(156) - (sqrt(156) + 3*-1*sqrt(156) + sqrt(156))) + (sqrt(156) - sqrt(156)*2*2))\/(1*sqrt(12)*-3 + sqrt(120)\/(1*sqrt(10) + sqrt(10))).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -4041.2.\nAnswer: 4041.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.247659l to millilitres.\nAnswer: 4247.659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/6468 and 81\/352?\nAnswer: 51744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 11 = -3*m, -306*d + 304*d = -5*m - 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gddgdggddddgdddddd. Give prob of sequence ggd.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*n - 6 - 33*n + 2 + 4 + 15*n.\nAnswer: 66*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7\/8))**(-30\/11))**37 assuming b is positive.\nAnswer: b**(3885\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1435\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -12. Let c = g - 7. Let s = c + 3.0032. Round s to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 1. Let u = -0.2 - -0.2. Let y = -19 + 24. What is the second smallest value in n, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230 - 121038338955.\nAnswer: -121038339185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(128) - (sqrt(128) + -4) - sqrt(128))**2*-1*6*4.\nAnswer: -6144*sqrt(2) + 13824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 7*y**2 - y + 7. Let z be m(7). Suppose z*o = 2*o - 6. Calculate the remainder when 8 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:04 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/464814 and 67\/1323.\nAnswer: 1394442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(-77) - (-3534)\/21 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240211412?\nAnswer: 2, 7, 61, 140639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*z - 48*z + 670*z**4 - 289*z**4 - 316*z**4 - 3*z**2 + z**5 wrt z.\nAnswer: 60*z**2 + 1560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17899439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7241 (b) -1\/5 (c) 716.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*a**4 + 8*a**2 - 4*a**2 - a + a**3 + 101*a**4 to the form q*a**4 + p*a**3 + s + v*a + k*a**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 196 = 61. Suppose 156*d - 158*d + 40 = 0. Calculate the remainder when j is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221 - -12?\nAnswer: -10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 743 + -6689\/9. Which is the closest to 2\/5? (a) 2 (b) l (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 12*m - 13. Let w be k(13). Is (-2 - (-20 - w)) + 4 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.282 and 71?\nAnswer: 71.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870056 to the power of 1\/2, to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*p - 18510 = -2202 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-100)\/700 + (-2998)\/(-14) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.8, -1, 1\/41, 18\/11, -22?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 1. Let y be t(-2). Let m(g) = 5*g**2 + 2*g + 1. Is 2 a factor of m(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-748)\/85*(-3)\/4)\/(3\/(-10)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b + 0*b)*(-5 + 1 + 3)*(0 - 3 + 2 + (-3 + 1 + 0)*(-1 + 0 - 2)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -676*q**3 + 160*q**3 + 155*q**3 + 157*q**3 + 192*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82 and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222 and 111074?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -26. What is the closest to c in -0.4, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-312)\/(-40) - (-2)\/10. Let g(x) = x**3 + 5*x**2 + 3*x. Let f be g(-4). Let y = 4 + -1. Solve h = -y*n + f, -4*n = 3*h + h + w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43012757.\nAnswer: 43012757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1464 (base 7) to base 12.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15338600*h**3 + 205037*h + 7.\nAnswer: 92031600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103.5 + -111.702. Let u = 0.102 + s. Let f = 57.1 + u. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10564625.\nAnswer: 5, 223, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58 - 58 - 2*h**4 + 2*h + (2*h**3 + 0*h**3 - 3*h**3)*(-4*h + 5*h + h).\nAnswer: -4*h**4 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -38510745 and -38510746 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1880 and 68?\nAnswer: 31960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.988 + -0.012. Let m = f - -26. Which is the nearest to 3? (a) m (b) 3\/2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohphhozpooohzoplploo. Give prob of sequence hpl.\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 15) in base 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6*j + 17 = -7*j, 2*t = 5*j + 37 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2) + -1 + 5. Suppose o - 20 = f - 4*o, 3*o = -5*f + 12. Suppose -12 = -f*k - 4*k. Solve -2*m + 5 = -3*g - 0*m, 0 = -d*g - 2*m - k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -109.37. Let t = -1.37 + g. Let d = 1.7 - 2.1. Which is the nearest to -2? (a) t (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2, -14\/11, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 + (2 - 2)). Let d(b) = 0 + b + b**2 - 1 + q - 2*b. Let v = 2 + -4. Let i(h) = h**3 + 3*h**2 - 2*h - 3. Calculate v*i(t) + 6*d(t).\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(-1 + 6 - 3)*(8 - 7 + 2 - 5*j + (0 + 3 - 5)*(-2*j + 4*j - 4*j) - 3*j + 3*j + 4*j) to the form a + q*j and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13296*z + 3. Let s(r) = 53191*r - 13. Determine -9*f(v) - 2*s(v).\nAnswer: 13282*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 2*f + 11, -3*i + 3*f + 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6 + 1)*(2*o**2 + 0*o**2 + o**2) to g*o**2 + a + p*o and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 212*h + 217*h + 345 = 0, -260 = -3*n + 5*h. Suppose -5*f + f = -724. Let b = f + n. Does 38 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4030295 to the nearest integer?\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2)**2 - (sqrt(1573)*1)**2.\nAnswer: -1452 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1657 + 1657. Solve w = z - 2*k - 0*k + 7, 0 = 3*z + 3*k - 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 155*r**2 - 159*r**2 - 154*r**2 + 469*r**2 + 7*r.\nAnswer: r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 477\/(-66) + (-41986)\/(-5998)?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 29 = a + 11, 2*a + 14 = 2*m. Suppose 3*g + m*j + 0 = -11, -2*j = 5*g - 7. Solve 2*r - 2*t = -3*r + 31, g*t - 1 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*q**3 + 199*q**3 - 496*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/(-650)*(-15)\/4. What is the nearest to -1 in 0.5, -1\/4, 0.05, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2035 - -2039. Which is the biggest value? (a) -2\/15 (b) -1\/158 (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((2 + sqrt(112) + 4 - sqrt(112)) + sqrt(112)) - (1 + 1*sqrt(112) + sqrt(112) + sqrt(112) + 5))**2 + -2.\nAnswer: 1680*sqrt(7) + 6386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 2*n**2 - n - 1 - n**4 + 12*n**3 - 2*n**3 as g*n + t + m*n**4 + o*n**3 + a*n**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001160367958 rounded to 7 decimal places?\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 39. What is the remainder when v is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7730390 rounded to the nearest ten thousand?\nAnswer: -7730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -411.6 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1531*m + 2642*m + 327004 = -2490*m + 1025*m for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {c: 16, j: 4}.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2114*b + 1805. What is o(1)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 + 156. Solve -5*s - 2*r + 25 = 0, b*r = -5*s + s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/9 + 1\/(-3). Let p(f) = 3*f + 1 - 2 + m. Let k(l) = -l. Calculate 4*k(o) + p(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-55))\/((-2)\/(1\/1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 65 = 19*n. Let d be 2 - ((1 - 4) + 1). Let z = d + 3. Calculate the remainder when z is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9266 is divided by 515.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6579.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/5 + 4122*a**3\/5 - 2688888*a**2 + 6591727872*a\/5 + 13237266432\/5 = 0. Calculate a.\nAnswer: -3068, -2, 848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 6. Let n(r) = 2*r - 21. Let s(g) = -4*g + 38. Let o(t) = 7*n(t) + 4*s(t). What is 5*o(k) + 4*q(k)?\nAnswer: -6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70.5 + -74.5. What is the nearest to 0 in s, -5, -4\/5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - a = 4*q + 14, 2 = -2*q + 2*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n + 8. Let i = -3304 - -3296. Give x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000412738 rounded to five decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-22 - 1) - -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 1, q: 4, e: 2, f: 1}. Give prob of sequence yfex.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 6*r + 5. Suppose -2*t - p = 23 - 7, -3*p = 12. Let f be a(t). Suppose -3*j - 3*o + 9 = -3, 3*j + 12 = f*o. Solve -j = -2*u + 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(105\/(-18))*(-2)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33\/133 - 2\/19. Which is the nearest to 2\/117? (a) k (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 812 in 3, -1\/6, 0.3, -4, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 - 3079*g + 2711*g + 12*g**5 - 140*g**4 + 76*g**4 + 44*g**3 + 216*g**2 = 0.\nAnswer: -2, 1, 2, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192 - 4*w**2 - 55*w**3 + 179*w**3 - 2*w + 2*w + 194 to the form v*w**2 + u*w**3 + z + y*w and give u.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.036*0.10816444\nAnswer: 0.00389391984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*h + 600, 3*l = 7*l - 4*h - 800. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30613\/13936 - 8\/871. Calculate the common denominator of 151\/174 and m.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z - 16*z + 48*z. Let d(c) = -7*c. What is a(d(t))?\nAnswer: -259*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410 is divided by 655.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9125271479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/18 and 81\/13516.\nAnswer: 121644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 76*n = -102 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 298, 289, 278, 265?\n\"Answer: -y**2 - 6*y + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p - 207. List the prime factors of l(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/7)*p*(p\/(((p\/(p**6*p))\/p)\/p))\/p*(p**1)**16)\/((p**(-1)\/p)**0\/(p*p*p**(-2\/5))**46) assuming p is positive.\nAnswer: p**(3496\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + 10 - ((-18 - 1) + 15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlh when three letters picked without replacement from flthfqh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1202\/14087 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/8547)\/(3\/18 + 0)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 565747?\nAnswer: -565754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/25)*t)\/t)\/(t*t**(1\/9)))\/((t**(-9)\/t*t)\/((t**(-2\/9)\/t)\/t)) assuming t is positive.\nAnswer: t**(431\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 5*12 + (-18)\/3.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686393 is divided by 513.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5+-74415.93\nAnswer: -74420.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(11\/((-44)\/10)*(-460)\/125)?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1411 - 21*y + 2*y**2 + 1411)*(2 - 2 + 3).\nAnswer: 6*y**2 - 63*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 - 3*t**2)*(6*t**2 - 3*t**2 - 2*t**2) + (0 - 5 + 3)*(5*t**4 + 2*t**4 - 4*t**4) + 4*t**4 + 8*t**2 - 8*t**2.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -14 - 27) + -9 - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2970\/(-3220) - (15 + 485\/(-35)).\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1289989477?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-1))\/(1\/2). Let b = -113\/4 - -581\/20. Let 0 + 1\/5*j**4 + j**k - 2\/5*j - b*j**3 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/60 + i**4\/8 - i**3\/2 - 2*i**2. Let q be v(-6). Let m be (-99)\/q + 2\/(-5). Is m at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 8*n - 56, -n + 20 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2328 and 1776.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/57)\/(-2)*(-10)\/(-25)*5.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2 - 1) + 7)\/(-1) - -5. Solve 2 + v = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.524591 and -4.\nAnswer: -15.524591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 14\/(-6)) + (-11)\/(-21)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x**2 - 13*x + 11. Let h(f) = -2*f**2 - 5*f + 6. Calculate -5*h(v) + 2*r(v).\nAnswer: 4*v**2 - v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q + 1. Let y(d) = -d + 5. Let o be y(8). Let m be (-3 + 2)*o\/(-3). List the prime factors of c(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/84)\/(4\/28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**6*(k*k\/((k*k**1*k)\/k))\/k)**(-21) assuming k is positive.\nAnswer: k**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -82?\nAnswer: 7\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2041 + -2041. Let w(t) be the first derivative of -21\/2*t**2 + 0*t**4 + 0*t**3 + 5*t**5 - 26 + k*t. Find the second derivative of w(f) wrt f.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -1085\/57. Which is the second smallest value? (a) -4 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-84)\/(-18). Suppose -u*n + 3*w - 1 + 41 = 0, 5*n = 5*w + 55. What is the greatest common divisor of n and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mckmmkmbb. Give prob of sequence mmck.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25443500087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-21))\/((31\/(-217))\/((-2)\/(-10)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*f - 4*q - 0*q, -4*q + 18 = 3*f. Solve -5*a + 26 = f*k, -a - 2*k = 3*k - 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13598789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4810 = 55*p - 0*p + 10*p. Solve p*m - 56 = 18*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 795038 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2231.2 - -2231.7. What is the fourth biggest value in m, 0.1, 4, 1.97?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -259572?\nAnswer: -259572.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -b92?\nAnswer: -b95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4 + 5 - 11 - x + 3*x**2 - 1. Let m = 16 + -20. What are the prime factors of j(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*n + 4*l + 8, n + 3*l = 25. Which is the biggest value? (a) n (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181705486.\nAnswer: 2, 13, 45450211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laanaaaananan. What is prob of picking 3 a?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -5*k**7\/7 - 76*k**5\/5 + 362*k**3\/3 + 337. Find the third derivative of u(y) wrt y.\nAnswer: -600*y**3 - 1824*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12)*42\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -0.2, 5, -2.4, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0*5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 16) in base 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40858493 and 2223?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/4)\/(1\/(-2)))\/((-45)\/(-30))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 + -2.68. Let g = -19\/32 + -5\/32. Let x = 1469 + -1470. Which is the nearest to x? (a) g (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 65?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let m(v) = -v - 356796765. Calculate m(u(d)).\nAnswer: -d**2 - 356796765","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1280 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001 (base 2) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + 6*(1 + sqrt(2)) + -1*-1*sqrt(2)) - (-2 + 1 + sqrt(72) + 2))**2 + 3.\nAnswer: 3996*sqrt(2) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.36049.\nAnswer: -0.76049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/24 - d**3\/6 - 3542*d**2. Let o(t) = 36*t - 2. Give -3*c(r) + o(r).\nAnswer: 33*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 = 82. Suppose p = -7*y + y. Which is the second smallest value? (a) 0.2 (b) 2\/11 (c) y (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/39 (b) -0.02 (c) 1 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.55 * 0.0134\nAnswer: 0.02077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -558*p**3*u**3 - 3*p**3*u**2 - 4*p*u**2 wrt u.\nAnswer: -3348*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -36, -58 in increasing order.\nAnswer: -58, -36, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98164 and 253?\nAnswer: 98164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7154*q - 4106428. Give w(-574).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -1008.\nAnswer: -1007.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*h - 644, -4*h = -y + 5*y - 2476. Calculate the lowest common multiple of y and 91.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 - 156*h**4 - 2280*h**3 - 15224*h**2 - 45012*h - 47916 = 0.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 50*m**3 - 2*m**2 + 1. Let c = -10 - -18. Let x = 9 + c. Calculate the remainder when y(1) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - q**2 - 5*q + 4. Let r be o(3). Suppose -76*l + 79*l = 9. Suppose l*h - 88 = 4*d, -3*h = h + 2*d - r. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/5, -2\/11, -5, -1\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -96*t**4 + 8*t**3\/3 + 53*t**2 - 23*t + 8564. Find the second derivative of k(m) wrt m.\nAnswer: -2304*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 111048*o - 57 = 111045*o, 4*b - 30 = -2*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8 - (-3 + (-189)\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5 - 19. Let a be 2\/9 + u\/(-27). Suppose s = 5*d - 33 + 1006, s - 3*d - 981 = a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 - 17*s**3 - 43 - 10*s**3 + (72 + 23 - 24)*(s**2 - 2*s**3 - s**2).\nAnswer: -169*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (14 + -48 + (9 - 6)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15))\/(22\/33)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -2*z - 5*l, 3*l - 6*l - 44 = z. Let h = z + 99. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/18 + 26\/(-117). Suppose 5*l + 3*r - 55 = w, -2*r = l + r + 1. Suppose -l*n = -16*n + 226. What is the remainder when n is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*o + 3 = 4*o, 0 = -2*o. Suppose r*z = -0*z + 1113. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d - 25*d + 6*d**3 - 2 + 13*d - 2*d**2 in the form f*d**3 + r + l*d + o*d**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 629, 638, 649, 662, 677, 694, 713?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -109 - (-36 + -2 + -92 + 121)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b - 4 + 4. Solve -12 = -4*r - b*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -316763, -316760, -316757, -316754?\n\"Answer: 3*g - 316766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 524 = 6*g. Suppose 8 = -88*t + g*t. Calculate the lowest common multiple of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.13634 months?\nAnswer: 0.000344695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 3*j**2 + 11*j + 20. Let d be p(-2). Suppose -4*a + 363 = -3*a + 5*t, d*a + 3*t - 712 = 0. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10172, -81388, -274692, -651128, -1271740, -2197572, -3489668, -5209072?\nAnswer: -7416828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1501 (base 6) to base 16\nAnswer: 18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 1. Let n be q(-2). List the prime factors of 4\/(-26) + ((-6374)\/(-26) - n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 166861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-26 - -10) + (1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {v: 2, w: 5, u: 8, g: 1}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13) - (5 + sqrt(13)*2)**2) - ((-2*sqrt(1053)*-3 - sqrt(1053) - sqrt(1053)) + sqrt(1053))**2.\nAnswer: -26094 + 57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*z**4\/19 - 2464956*z**3\/19 + 136612384*z**2\/19 - 30267012*z\/19 + 1679810\/19 = 0. Calculate z.\nAnswer: -15271, 1\/9, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62 - 1b9?\nAnswer: -25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.006, 2\/15, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 - 2?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 12\/3)*(-1)\/7. What is the closest to h in 4, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 6*q + 7. Let l(a) = a**2 + a - 1. Let v(y) = 6*l(y) + z(y). Let u be v(1). Solve u*b - 16 = 5*h, 2*h - h + 5*b + 9 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59960 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/((-28)\/6) - (-244)\/112 and 99\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1227, -1226, -1225, -1224, -1223, -1222?\n\"Answer: h - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)*(8 + -6) - -52. Suppose -5*x + 2*o + a = 0, x + 5*o - 4 = 6. Suppose -3*g = -5*b + 18, 4*b = b + g + x. Solve -i = -b*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24531 = 15*n - 24711 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*y - 78*y = -2*d + 20, 5*y - 23 = 4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 7*i)*(-5*i**2 + 1 + 14*i**2 - 10*i**2).\nAnswer: -5*i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780.65 litres in millilitres?\nAnswer: 2780650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 236 + 2*b - 2*b + b**2 - 235. Let r be u(-2). Suppose -y + 2*h + 10 = -12, 2*y - r*h - 44 = 0. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 394534.8 milligrams?\nAnswer: 394534800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a**2. Let w(s) = 133*s**3 - s**2 + s + 2. Let x be w(2). Let q(c) = 0*c**2 + 1064*c + c**2 - x*c. Calculate g(q(o)).\nAnswer: 19*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34962000 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n + 8 = 72*n. Suppose 4*i - 10 = -n*x, -5*x - i = -0*i - 16. Solve -6\/5*r**2 - 4\/5*r**x - 4\/5*r - 1\/5 - 1\/5*r**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17235 is divided by 15508.\nAnswer: 1727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*h**3*w**2 + 4*h**3*w - 5*h**3 + 8*h**2*w + 3*h*w**2 - 2*w - 25 wrt h.\nAnswer: 1092*w**2 + 24*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -3 (c) -2 (d) -0.0964 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 6*x**2 + 8*x - 9. Let o be b(7). Let r be (-3)\/6 + (-1)\/o. Suppose -18 = -4*m - 10. Solve r = 4*j + m*u - 10, -5*u + 12 - 1 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7))**42*(w**(3\/4))**(-35))**(-1\/33) assuming w is positive.\nAnswer: w**(59\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -29*g + 18. Let h(p) = 13*p - 8. Let s(u) = 9*h(u) + 4*x(u). Let o(n) = 7*n**3 + 49*n. Calculate 2*o(m) - 98*s(m).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.7760651 rounded to one decimal place?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2. Let n(i) = -i - 19. Calculate c(n(l)).\nAnswer: 2*l**2 + 76*l + 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 38756\/(-9)) + (-6)\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 + 7*y + 3. Let t be j(-3). Let s = 11\/7 - 9\/7. Suppose 0 = 3*o + 2*v - 5, 3*v + 34 = 5*o - 6. What is the nearest to t in -0.3, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Let k be 4\/(-6) - -4*x\/(-48). Let a(b) = -36*b**3 + 2*b**2 + 3*b + 2. Calculate the remainder when a(k) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 5. Let b be w + (2\/1 - 3). Suppose 3*i = 3*q + 30591, -q = -b*q - 3. Round i to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 20855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 13*g - 7. Let a be j(-11). Let f = 17 + a. Let l be 9\/f - 54\/(-8). Solve -i + l = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/6 + s**3\/2 + s. Let u be g(-2). Let x be (8\/8)\/(u\/(10 + 0)). Solve l - 20 = x*z, -l - 9 = 2*z + 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2720 in -1, -1\/5, 1\/2, 5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 3*b**4\/4 - b**2\/2 - b + 29. Suppose -17*d = 28 - 11. Give m(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/90 + i**4\/12 - 2*i**3\/9 - 42*i**2. Factor p(r).\nAnswer: -2*(r - 2)*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 4*s + 1. Suppose -2 = k + 2. Let x be b(k). Let h(d) = -3*d**2 - 1 + x. Let p(j) = -2*j**2. Calculate p(h(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 a factor of 482997956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3418 + -21833?\nAnswer: -25352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 1989*n - 2021 + 173 = 155 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) - 1*sqrt(99)) - sqrt(99))*-1 - (sqrt(99) - (sqrt(99) - -2*sqrt(99))*-1))*-3)\/(2*(sqrt(36) - -1*sqrt(2916))).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/((-8)\/(-6)). Let a = -23939 + 23938. Which is smaller: a or f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let q(o) = -172 - 5*o + 172. Determine q(l(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.6 + -16. Let t = s - -28.4. Let v = -28.99999945 + t. Round v to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2. Let k(u) be the second derivative of 70*u**4\/3 - 227*u. What is k(x(r))?\nAnswer: 1120*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqceqcecec. What is prob of picking 2 e and 1 c?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one halves of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3 - 7. Suppose 5*d + 1 = 5*y - 4*y, -i*y = -3*d + 5. Let k be ((-8)\/10)\/(d\/(-5)). Do -4 and k have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s. Let i be -1 + 6\/(s - -2). Suppose f = 4*b - 72, -i*f = f. Calculate the highest common factor of 45 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 730 + 124*z**3 - 43*z**3 - 38*z**3 - z**2 - 42*z**3.\nAnswer: z**3 - z**2 + 730","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 + -177. Let q be 34\/g*(-11 - -8)*2. Which is smaller: q or 35?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(64\/(-1140)) - 2\/8. Suppose d*r - 15 = 66*r. Let x(h) = h**2 - 5*h**2 + r*h**2 + h - 5*h**2 + h**3. Calculate x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -34220?\nAnswer: -34224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8))\/((-576)\/(-6912)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0 - 3. Let p(b) be the second derivative of -b**5\/4 - b**4\/12 - b**3\/6 + 2*b. Calculate the remainder when 19 is divided by p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*q = -177 + 65, -5*q + 52 = c. Solve -7 = -25*y - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67, -74, -71, -52, -11?\n\"Answer: y**3 - y**2 - 11*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/2*-2*7. Let q = f - -5. Calculate the greatest common factor of q and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 0. Let f = 979.1 - 979. Put f, 0.2, k in increasing order.\nAnswer: f, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 418 + -2087\/5. Factor -m*o + 6\/5 - 3\/5*o**2.\nAnswer: -3*(o - 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*k**6 - 86*k**2?\nAnswer: -4200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 = -0. Let n(q) = q**3 - 3*q**2 - 2*q - 4. Let w be n(4). Suppose -w*c - h = -15, -2*h - 39 = -4*c - 9. Solve 6 = d*g - c*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-45)\/6)\/(48\/256)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102.7 + 13.7. Let f = m - -88.9982. What is f rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -6 (c) -0.9 (d) -0.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/140 + (-5)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29560.\nAnswer: 2, 5, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22110 + 42359. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(66\/18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Suppose m*x - i = 8, -5*x + 3*x + 4*i + 22 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*o - 8 = -1, -265*c - 2*o = -528*c + 283*c + 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.14, 75\/2, 3, 4\/9?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 8 + (-23 + 7 - 2 - (-8 - 0))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5226601, -5226653, -5226705, -5226757, -5226809, -5226861?\nAnswer: -5226913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1288045084.1 and -5365.\nAnswer: -1288050449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-2)\/(-2) - 0). Let k be a*2 + -3 + 1. Suppose 4*l - 4*s = 120, 2*l - s - 46 - 16 = k. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -884.196542 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 363, 6.\nAnswer: -0.3, 6, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 70.2. Let g = f + 7. Let c be 2*(-1)\/2*-1. Is g >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**4 - 1116000*l**3 + 77839883992*l**2 + 155683116000*l + 77842116004 = 0.\nAnswer: -1, 139501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a + 7. Let d be y(1). Calculate the common denominator of (d\/15)\/(3544\/1820 - 2) and -55\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/7 + 68*b**2\/7 + 4*b\/7 - 68\/7.\nAnswer: -4*(b - 17)*(b - 1)*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463524671 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggqpzqcggpggq. What is prob of sequence gcg?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -7, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 86946570500 to the nearest one million.\nAnswer: 86947000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5848615 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -1011*b**2\/4 + 3025*b\/4 + 6 = 0.\nAnswer: -8\/1011, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396)*-6.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 392.7764 grams in nanograms?\nAnswer: 392776400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-21446)\/(-16))\/(15\/600)?\nAnswer: 5, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3670074.\nAnswer: 2, 3, 41, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*i + 28390, 5*i - 8253 = -4*j + 14496. Suppose 0 = -2*d + 3*b + 3791, 0 = -d - 2*d - b + j. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) -1.4 (b) 0.4 (c) 4 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 81. Let y be (2 + -4 - -3)\/((-2)\/(-12)). What is the highest common factor of j and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 15*x**2 - 48*x + 64.\nAnswer: -(x - 1)*(x + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and 1518267.\nAnswer: 1518266.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -197455839?\nAnswer: -197455837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13186315118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3796 and 1948.\nAnswer: 1848652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 28 + -24 + ((-380)\/(-16))\/(-5). Let q = 98\/95 - 12\/19. Put q, 0.3, 0.06, p in decreasing order.\nAnswer: q, 0.3, 0.06, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 + (-1 - 1 + 1)*(-2 + 2 - 1) - 3 - 4 + 0)*(1 - 2 - 4)*(4 - 3 + 4)*(1 - 1 + m).\nAnswer: 125*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 523*d - 185*d - 316 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*v - 15 = 143*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 253688 - 253688 - 553*m**2 + (2*m - 7*m + 3*m)*(-2*m - 5*m + 2*m).\nAnswer: -543*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121.998225 - 122. Round x to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/12*1\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 3*h + 6*h + (-1 + 1 - h)*(4 - 4 + 4))*(-25*h**4 - 22 + 22).\nAnswer: -150*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6*(-465)\/(-10). Suppose -11*f + 554 = -2757. Let q = f - y. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7262581 (base 10) to base 8.\nAnswer: 33550565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -16, 4 in ascending order.\nAnswer: -16, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42634.4 rounded to the nearest one hundred?\nAnswer: 42600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 781*o - 221*o + 398*o - o**3 - 50*o.\nAnswer: -o**3 + 908*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -4\/5 (c) 2\/14049 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2409, 8352, 17935, 31164, 48045, 68584, 92787?\n\"Answer: v**3 + 1814*v**2 + 494*v + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**3 - 389*s**2 + 1207*s - 121212. What is c(193)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -22*n + 27*n - 1077, 4*n = -4*s + 860. Suppose -k + 116 = 4*i + 44, -4*k + 2*i = -n. What is the greatest common divisor of k and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84414*z**5 - 84414*z**5 - 172*z**6 - 4*z - 6*z**2 wrt z?\nAnswer: -20640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2005710485 to the power of 1\/2, to the nearest integer?\nAnswer: 44785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -164, -53, 102, 301?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3) + 3 + -3)*-1 + (sqrt(36)\/sqrt(3)*-5)\/(sqrt(4) - (sqrt(4) - sqrt(16))*2))**2.\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -25, -12 = w + 4*h - 2. Suppose 49*t - 14 = 63*t. Is t less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*k - 30, -p = k + 2*p - 12. Suppose 0 = 2*a + k - 8. Let m be (-4)\/((-7)\/(-14) + a\/(-1)). Solve -3*i = -4*x - 7, 0 = -4*i + x + m + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 44 in decreasing order.\nAnswer: 44, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a - 68*a - 30 = 0. Solve 0 = -a*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-21)*15 + -14 + 12.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 5*w + 5. Let m be x(-5). Suppose -m*j + 11 = -14. Find the second derivative of -2*i**j + i**5 - 5*i - 6*i + 5*i wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1593.6033 + -1052.\nAnswer: -2645.6033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 54 in descending order.\nAnswer: 54, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -143. Let j = -960.1 - -1019. Let g = c - j. Put -0.2, -2, g in decreasing order.\nAnswer: g, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.469982965 - -49.47. Round v to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -15*b + 210. Which is greater: 6\/11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -30. What is the second smallest value in 1, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000792061 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5754, 23928, 54216, 96618, 151134, 217764?\nAnswer: 296508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 - 2308*f\/7 + 8784.\nAnswer: 4*(f - 549)*(f - 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*f - 13 + 0*f + 76*f.\nAnswer: -f - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.763905 months in decades?\nAnswer: 0.056365875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d + 18*d - 20*d + 7*d**2.\nAnswer: 7*d**2 - 28*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/6)\/5*6 - -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.1107.\nAnswer: 0.01107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -5 - (4 - 10)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -711.329?\nAnswer: 92.47277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = h - 0*h - 2*m, h + 5*m = 54. Let j = 13 + -11. Suppose -5*o + 5 = -2*a + h, 24 = j*a - 3*o. Solve -z - a = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 3:07 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156400270?\nAnswer: 2, 5, 13, 31, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 + 252*z**2 + 53*z - 112. Is h(-50) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35435 and 140087?\nAnswer: 261262255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78471046.\nAnswer: 2, 71, 241, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 74, -103, 1 in decreasing order.\nAnswer: 74, 3, 1, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)*k**6*k**1\/k*k\/k**3 assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/14 and -19\/222?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 83 = 2*m, m = -0*m + v + 34. Suppose 0 = 4*r - 473 - 223. Suppose 0 = r*g - 182*g + 592. Calculate the greatest common factor of m and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2\/21 (c) -1\/7 (d) -3\/5 (e) 6\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27657424 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -1056, 0, 0.3, 1226, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) 1.2 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/10*((-8)\/1)\/(-48).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 0*q - q)*(-4 + 1 + 4) - 3*q - q + 3*q + (-2*q + 1 + 1 - 4)*(1 + 5 - 3) to p*q + i and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -84. What is the remainder when b is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/248361 and 61\/2235249.\nAnswer: 2235249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4091 + 4091.04119. Round y to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.14024 (b) -0.4 (c) -4 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 26 = -4*h, 0 = 3*w - 5*w + 2*h + 28. Let r be ((-2)\/(-2))\/(3\/w). Suppose 2*q = r*f + 6, -35 + 3 = -4*q + 5*f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*u = 29. Let y = -17 + u. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 6:54 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j - 5. Let t be y(7). What is the second derivative of 2*k**2 + 4*k**2 + 6*k**4 - t*k - 6*k**2 wrt k?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/165)\/((-6)\/33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -8) + -13 + 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 290 and 12.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100111111111 - 10?\nAnswer: -11101000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -30647?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000202010 (base 3) to base 6.\nAnswer: -4121433","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(176) - (sqrt(176)*-1 + sqrt(176) + -5)**2) - (sqrt(121)\/sqrt(539) + (sqrt(11) - (sqrt(44) + -1))).\nAnswer: -26 + 34*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixtu when four letters picked without replacement from {i: 4, t: 1, u: 1, x: 1, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckbusq. Give prob of sequence bb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -37. Let u = q + 6. Is u - 0 - (5 + -185) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32973.1349 + 4.\nAnswer: -32969.1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51815.24 kilograms to tonnes.\nAnswer: 51.81524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 4*m + 5. Let x be n(-4). Suppose -x*w + 5*a = 25, -2*a - 15 = -3*w - 5*a. Suppose w*h = -4*h + 140. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 934854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1245147 and 3?\nAnswer: -6.3735441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 - 100. Let n be -3 - (-3 - 147) - q. Differentiate 6 - n*s**4 + 157*s**4 - 9 wrt s.\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + u + 7, 4*d - 3*u + 2858 = 2898 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30742004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1434*t - 1438*t + 16 = 2*n, -10 = -t - n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 657*l**3*n - 4*l**3 - 2*l**2*n**2 + 7*l**2 + 7*l*n**2 - 82*l + 23 wrt n?\nAnswer: 657*l**3 - 4*l**2*n + 14*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613315705?\nAnswer: 5, 73, 1680317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*k**5 + 66*k**2 wrt k.\nAnswer: 6240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*i = 16, 2*i = -w + i - 28. Let z be (3\/(-6))\/(1\/(-6)). What is the remainder when 10*z*w\/(-30) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose -5*i + 888 = -x + 244, s*i - 3*x - 255 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*m - 108 = 4*m, -2*m + 10 = 0. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.5 - -6. Let v = q + -0.5. Let m = -4.1 + 0.1. What is the nearest to -1 in v, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 880 - 118 = 0. Suppose 0*x - p = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 7*c**2 + 4*c - 6. Let p be x(-5). Calculate the greatest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*y - 1512, -8*r - 6 = -6*r. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -11.5. Let f = 7.6 + w. Which is the third biggest value? (a) -2\/7 (b) f (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.082292785 rounded to 4 decimal places?\nAnswer: -0.0823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - -74. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25813, 27972, 30131, 32290?\nAnswer: 34449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 406973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/333861 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 25, 0*y - 11 = 2*y - h. Let r be 1\/(-2*2\/(-8)). Put r, y, -5 in decreasing order.\nAnswer: r, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 517750 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 13, r: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5884000, 12, 5, -1.\nAnswer: -1, 5, 12, 5884000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 - 35*z**2 - 13*z - 14. What is v(12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182 + -303. Let m = -19 - k. Factor -2*d**3 - m + 102 + 2*d.\nAnswer: -2*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*k - 63 - 84 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from sseeeeeeeeesseeeeeee.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16903917*0.5.\nAnswer: -8451958.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrrk. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -164*u**2 - 31*u - 38. Let x(w) = -41*w**2 - 7*w - 9. Calculate -9*x(r) + 2*y(r).\nAnswer: 41*r**2 + r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 516307\/(-149345) + (-36)\/84*(-8)\/(-3)\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-182)*-14*14?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9255 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-7167165.\nAnswer: 21501495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 2*o**2 + o - 1. Let n be h(2). Suppose -8*w = -n*w - 10. What are the prime factors of 3\/(-6) - 445\/w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*5\/15 + -5 + 4. Suppose -198 = -m*t + 4*v, -3*v + 191 = 2*t - 0*v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/1032 and (-3193)\/206 + 1*-5.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*a - 3. Let m be (12\/8)\/(a\/(-8)). Put m, 2, 5 in decreasing order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + (sqrt(24) + sqrt(24) + -2*sqrt(24))*2 + sqrt(24))\/(sqrt(120)\/(2*sqrt(10)) - sqrt(12) - sqrt(12)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15918 = -414*m + 21279*m + 4947 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7*j = 10*j. Solve -2*i - 8 = -j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 5?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*a - 4*w + 536, 3*w + 587 = 2*a. What is the remainder when a is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1098557\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:58 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -10, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 60 - 6)*(1 - 1 + 3*u).\nAnswer: 162*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-88326)\/(-21) - (-14)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22531546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -523164, -523163, -523162, -523161, -523160, -523159?\n\"Answer: m - 523165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 1111, 1666, 2221?\nAnswer: 2776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*3)\/(sqrt(4)*-2*2)*-2.\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/28 in -1\/3, -288\/7, -1.1, -3, 13?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**5 + 133*f**3*i + 727*f**3 + f*i + 2*f + 2336*i wrt f.\nAnswer: -20*f**3 + 798*f*i + 4362*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 4. Let n be m(6). Let x(u) = 4*u**2 - 5*u**2 + 0 + 1 + u. Let v(o) = -10*o**2 + 10*o + 11. Determine n*x(l) - 2*v(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:22 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -7*w**5\/60 - 11*w**3\/6 + 4*w**2. Differentiate i(b) wrt b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(252\/486) - -12. What is the third smallest value in -1\/2, -2\/17, -254, 2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 - 1 = 5*s. Suppose 2*b - s = -3*b. Solve 0 = z - 0*z - b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506 + 240 = -470*c + 97*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 5:22 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 892 = 124. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 36. Let n be 11\/66 - (-103)\/(-6). Let z be y(n). Suppose -4*v = -z*t - 3878, 3*t - 957 = -v + t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-2*t + t + 3*t) + 0*t + 9*t + 12*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.962 (b) 14 (c) -0.4 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, t: 6, n: 6, b: 1, u: 1}. What is prob of sequence btn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*k - 31 = -s, 5 = -5*s + 5*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v - 172*v - 98*v**2 + 173*v to g*v + b + w*v**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**4\/4 - 5*n**3\/6 + 11*n**2\/2 + 2. Let s(t) be the second derivative of c(t). Let b(l) = l + 1. Calculate -5*b(u) - s(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 14461.5.\nAnswer: -28923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1143*t + 9139. Determine d(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 + (1 + -1 - -2 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (4 + -2)\/1. Let c be -5 + f + 4 + -1. Which is greater: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.5, -0.05, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.3 (b) 924 (c) 0.8 (d) -33\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/10)*x*x**(-2))\/(x*x*x\/(x\/(x*x**2)))**(14\/3) assuming x is positive.\nAnswer: x**(-697\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7482 divided by 15.\nAnswer: -2494\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55532496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 914314*n**2 - 895682*n?\nAnswer: 1828628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28675709 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 less than 625\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 107, -5, -0.2, -2, -32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864979117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z + 30. Let v(k) be the first derivative of -3*k**2 - 33*k + 939. Let u be v(z). Solve u*w + 2*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 20 + 5*a - 6*a - 17. Give q(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 128.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1625 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*q - 10 = 0, -5*q = -0*c + 4*c - 8. Let w(d) be the first derivative of 1\/4*d**4 + 3*d - 5\/2*d**c + 1 - d**3. Give w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 7. Let x be z(-3). Let d = -19 + 7. Let o = d - -11.6. Which is the third biggest value? (a) x (b) o (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/22504 and -113\/16878?\nAnswer: 67512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from adanrraaagddjajdg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -0.24.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5160*j**3 - 25*j**2 + 50*j. Let y(f) = 430*f**3 + 2*f**2 - 4*f. Give 2*d(o) + 25*y(o).\nAnswer: 430*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 y when three letters picked without replacement from iyiycidyyiiccyyc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 6*f + 2. Let c be (-12)\/(-54) + (-52)\/(-9). Let h be b(c). Suppose 3*l + h*l = 55. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7997245*k**3 - 2*k**2 + 10*k - 476080338 wrt k?\nAnswer: -23991735*k**2 - 4*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 1036.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -90. Let v = -22 - o. Calculate the common denominator of ((-176)\/312)\/(-11)*366\/v and -35\/8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -6. Suppose -5*q - f = -a - 12, 0 = 3*q - 3*f + 3. Let p(m) = m**2 + 9*m - 7. Let k be p(-10). Does k = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 997*0.4.\nAnswer: 398.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from ttkktttttt.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than -3278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (3 - (0 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 3450*h**2 + 1742291*h - 3498390.\nAnswer: (h - 2)*(h + 617)*(h + 2835)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**5\/6 + 11*r**4\/24 + 8*r**2. Find the second derivative of s(j) wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 1.34.\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381990267.\nAnswer: 7, 28203883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -3, -296, 7, -0.4, 2.5 in increasing order.\nAnswer: -296, -3, -0.4, 2\/27, 2.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-75)\/(-5)) + 69\/8 - 4.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/3 - 826*g**4\/3 - 70154*g**3 - 16794224*g**2\/3 + 51868327*g\/3 - 11620938 = 0. Calculate g.\nAnswer: -423, -203, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) - 70\/(-3). Suppose -6 = -3*n + f, 0 = -3*n + 6*n + 5*f - i. Calculate the remainder when 4 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, a: 5}. Give prob of picking 1 h and 1 a.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyxyyyyyx.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Let p be -1*(-1 - (g + -5))*-20. Let z = 37 + -32. Solve 5*f - 4*d = p, 0 = -z*f - d - 0*d + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 5, c: 2, f: 7, v: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29225 + 28469 = 28*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 2\/3*n**6 + 16*n + 4\/3*n**3 + 17 - 16*n**2 - 4*n**5 + 7*n**4. Determine q so that u(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*h - 208, 4*t - 3*t - 42 = 2*h. Let i = 2 - -26. Let s = t - i. What is the lowest common multiple of s and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64123988 times 5\nAnswer: 320619940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32709 - -66824. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 95. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60428*j**3*w + j**2 - 2*j*w + 329*j + 5*w wrt j?\nAnswer: -362568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 2, u: 1, h: 2, a: 3, n: 3}. Give prob of sequence ni.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -407*d**2 - 1838*d + 3624. Determine s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 950 + -906. What is the greatest common factor of l and 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z - 211 = -995. Suppose 2*h - z - 20 = -3*s, -s + 5*h = -33. Which is greater: s or 200\/11?\nAnswer: 200\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -13*q + 14*q. Suppose q*g - 24 = g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 155.3.\nAnswer: 155.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = -3*i, -i = 2*i - 4*s - 23. Let b(z) = -z**3 + z**2 + 2*z - 1. Determine b(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 38*m - 4 = -36*m, -2 = -3*j + m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480489044 to the power of 1\/3, to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-7 - (-9 - -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((230\/138)\/(4\/2))\/((-35)\/(-518))*3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6912)\/36)\/(-16))\/318.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9674821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 6. Let q(s) = -7*s + 13. Let r(i) = 5*g(i) + 3*q(i). Let h be r(3). Find v such that -4*v**3 + 29 + 5*v**3 + 9*v + h*v**2 - 25 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.088291 years in centuries?\nAnswer: 0.05088291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 200 = -g. Let n be g\/(-18) + (-6)\/(-27). Suppose 4*m + m = -20, -5*m - 44 = -n*z. Solve 5*a = a + z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + f - f - 2*f**4 + 5*f**4 - 2*f**4 + (-f + 4*f - 2*f)*(0*f + 2*f**3 + 0*f) + f**2 - f**2 - 4*f**4 + 0*f**2 + 0*f**2 - f**4.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 694302 a multiple of 542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -24*i. Let m(f) = f - 1. Let b(n) = 2*m(n) - t(n). What are the prime factors of b(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(4\/17))**(1\/12)\/(v\/v**(-30)*v**(-6\/7)) assuming v is positive.\nAnswer: v**(-14299\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*j + 61*j - h + 1170, 4*j - 1178 = -5*h. Calculate the greatest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v + 1. Suppose -7*i + 6*i + 3 = 3*k, -2*k + 7 = -i. Let g(l) = -11*l + 1. Let q(f) = k*g(f) - 3*p(f). What is q(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1825 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 4:17 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*i**3 + 305*i**2 - 2974*i - 7224.\nAnswer: -(i - 21)*(i + 2)*(7*i - 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**5 + 99865*h**4 + 698890*h**3 + 1597340*h**2 + 1197960*h = 0. Calculate h.\nAnswer: -19966, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-186)\/1116*(-8)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:03 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23255322?\nAnswer: 2, 3, 59, 179, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 131 * 0.0421045\nAnswer: 5.5156895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k + 2. Suppose -n + 4*l + 20 = -l, -25 = 2*n + 3*l. Let o(y) be the second derivative of 7*y**3\/6 - 3*y**2\/2 - y. Calculate n*u(s) - 4*o(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) -4\/55 (b) 0.09 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 170, 157, 144, 131, 118, 105?\n\"Answer: -13*t + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232111 + -0.2499.\nAnswer: -232111.2499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11463*q**2*v + q - 3*v - 1223 wrt q.\nAnswer: 22926*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 2*n = -48. Suppose 0 = -n*z + 18 + 36. What is the remainder when 23 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 1200773?\nAnswer: -1200772.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 7) in base 3?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118609.483 - 118678. Round j to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1364039, 2728194, 4092353, 5456516, 6820683, 8184854?\n\"Answer: 2*j**2 + 1364149*j - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 269 + -116. Suppose 183 = 8*c - a. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 (base 10) in base 15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*k - 3*k - 3, -3*p = -k + 2. Let r be 16\/6*3 - p. Suppose -4*q - 15 = -r*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*p + 90. Suppose -5*q + q = 0. Suppose 4*d + q*d = 20. Solve 2*r = d*c + p, -4*r = 4*c + 2 + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**2 - 523245*o + 1046470 = 0.\nAnswer: 2, 104647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1652*l**2 - 107*l - 331. What is the thousands digit of r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 7*v**2 + 4*v - 8. Let p be (6\/7)\/((-4)\/28). Let f be u(p). Suppose 140 = f*y - 4*j, -4*y + 3*j = -9*y + 151. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/3 (b) -3 (c) 2 (d) -226\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 860375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/30 - (-37)\/(-6). Let q be b\/9 + (-262)\/(-6). Suppose v - q = 119. What is the greatest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooboboxb.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 681814*a\/9 - 454544\/9.\nAnswer: (a - 227272)*(3*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/523657 and -29\/5236570.\nAnswer: 5236570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*o + 214 = 4*o + 190, -132 = 2*k + 4*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -519*i**4 - 392*i**2 wrt i.\nAnswer: -12456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/(34*1\/136).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/21 - 3533812*c\/21.\nAnswer: 2*c*(c - 1766906)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 26*o**2 + 211*o + 20. Give k(15).\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -42*n - 3*n**2 - n**2 + 4*n**2 + 18*n + 2*n**2 + 20*n. Let r(a) = 1. Let h(v) = v + 5. Let l(m) = h(m) - 5*r(m). What is d(l(q))?\nAnswer: 2*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147266093.\nAnswer: 13, 19, 45863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 526*h**3 + 406*h.\nAnswer: 3156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101594 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/32*(-768)\/(-1680)*35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*g**4 - 40*g**4 + 14*g**4)*(0 + 0 - 1)*(2 - 2 - 2)*(1 - 3 + 1) to a*g + x*g**3 + z + n*g**2 + s*g**4 and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 57*k**2 - 22. Let d(p) = -29*p**2 + 11. Calculate 4*b(n) + 7*d(n).\nAnswer: 25*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 1)*(-3 - -5). Suppose -3*x + f*x = 57. Solve m = -3*d + 2 - 1, -3*d = 5*m + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(72) - -1*sqrt(72))*-3 - -2*sqrt(72)*-6))**2*5.\nAnswer: 2916000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1721\/33*(2 - -225). Suppose 5*w - j - 46203 = 13001, 4*j + 35536 = 3*w. Let l = w - k. Find the common denominator of l and -89\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -28786909*w**2. Let r(q) = q**2. Calculate r(c(n)).\nAnswer: 828686129774281*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, 5, -4\/3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(-2 + (-1 + sqrt(147) - sqrt(147)) - (sqrt(147)*3 - sqrt(147))*1))**2.\nAnswer: 18900*sqrt(3) + 134325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 35*a + 108. Give i(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -3*o - 7, -o + 39 - 40 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 4*g**2 - 4*g - 7. Let r(l) = 3*l**3 + 3*l**2 - 3*l - 5. Suppose 17 = -3*m + 15*h - 13*h, 0 = m + 3*h + 13. Give m*r(o) + 5*v(o).\nAnswer: -o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00394209711 rounded to 4 dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 9, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3\/4 - 19*s**2\/4 - 99*s\/4 - 81\/4 = 0?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(605) - (sqrt(605) + 1)) + 2 - (sqrt(605) + -2)*2 - ((sqrt(605) + -1)*-1 + (-1*(sqrt(605) + -1*sqrt(605)) - sqrt(605)))*-4))**2.\nAnswer: -2420*sqrt(5) + 60621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 14 = -3*n, 11 - 3 = 4*u. Is 12 a factor of ((-2)\/4 - (-15 - -7))*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-27)\/45 - (-3)\/60*-38). Which is the closest to -15? (a) -0.4 (b) l (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**3 + 118*b**2 - 6*b + 58. Calculate w(-11).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:32 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4903.\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5430 - 0.02876857.\nAnswer: -5430.02876857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -95, 126, 407, 748, 1149, 1610?\n\"Answer: 30*x**2 + 131*x - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1702*g + 10. Let t be d(-5). Round t to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0604583797 rounded to four dps?\nAnswer: 0.0605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9492\/325 - 734\/25. Which is the nearest to -0.01? (a) -1 (b) 0 (c) -14\/5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 8*o**2 + 8*o + 9. Let y be j(-7). Suppose -3*g + 0*d - y*d + 29 = 0, 45 = 5*g + 4*d. Suppose -4*m + 3 = -g. Solve -u = -m*u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 - 2*d**3 + 6*d**3 + (3*d**3 - 2*d**3 - 2*d**3)*(-79 - 133 + 66) + (d + d - 4*d)*(-d**2 - 2*d**2 + d**2).\nAnswer: 151*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 38 = -2. Let h = g - -6. Let c(r) = r**3 - 4*r**2 - 7*r - 2. Calculate the remainder when c(6) is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2129 + -2131. Which is the smallest value? (a) -5 (b) q (c) 1789\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1955030?\nAnswer: 2, 5, 7, 11, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 0.082 (c) 2 (d) -4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:12 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 47*o + 313. Let g be q(6). Let c(u) = -u**3 - 4*u**2 + 5*u + 4. What is c(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1326611291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(sqrt(187) - 2*sqrt(187)) + sqrt(187))\/(sqrt(396)\/sqrt(4)).\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 32, -0.5, 0.5, -2\/3 in decreasing order.\nAnswer: 32, 0.5, 2\/15, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 107\/(-1177) + (-142)\/11\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**3 + 2*l**2 - 3*l + 2. Give f(2).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.92 + -0.08. Let w = -9 + 15. Let p = y + w. Which is the second biggest value? (a) 5 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000199319 rounded to 7 decimal places?\nAnswer: -0.0000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 2*a = 3*f + 23, f - 3*a + 9 = 0. Calculate the remainder when f is divided by 4\/(-10)*(1 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(9\/(-19))*3. Let f = g + 37. What is the greatest common factor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, f: 3, z: 1}. Give prob of sequence fz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcttbwe. What is prob of sequence xcb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4 - 2840*z**3 + 2684736*z**2 - 841186944*z - 3407885568 = 0.\nAnswer: -4, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 423116, 422560, 422004?\nAnswer: 421448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -11 - 0 - (-11 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - 2*-342 - 130\/26 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0485 and -47.\nAnswer: 2.2795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*y**3 - 2\/5*y**4 + 18\/5*y**2 + 18\/5*y + 0.\nAnswer: -2*y*(y - 3)*(y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 15, 165, -5 in decreasing order.\nAnswer: 165, 15, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -365629 by 473.\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7982 - -0.2982. What is the fourth biggest value in -2.7, -1, 2\/13, b?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -21 - 24 + 63 - 376*w**2 - 18. Let m(c) = c. Determine m(p(z)).\nAnswer: -376*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19044073 is divided by 9522023?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 660 = 26*w. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 20*p**2 + 12*p - 43. What is the units digit of b(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 + 17*t**2 - 11*t - 11. Let a(z) = -2*z**3 + 6*z**2 - 4*z - 4. Let f be -1 - -2*(2 - -12). Let c = f + -16. Calculate c*a(i) - 4*x(i).\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2657*l - 2666*l = -135 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 215*c**2 - 6*c - 1306. Let l(m) = -434*m**2 + 11*m + 2611. Let x(w) = -4*l(w) - 7*u(w). Find the first derivative of x(n) wrt n.\nAnswer: 462*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268\/17 - -8329\/510. Find the common denominator of 88\/15 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -400 - -590. What is the highest common divisor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 376*d**2 - 6212*d - 5840.\nAnswer: -4*(d + 1)*(d + 20)*(d + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 1\/3*s**4 + 8*s - 1\/6*s**3 - 2 - 1\/10*s**5 - s**2. Let a(h) be the first derivative of v(h). What is a(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3600 - 4?\nAnswer: 3574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8a3af9 (base 16) to base 11\nAnswer: -5128234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*c + 7*c. What is the remainder when 21 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -105. Let c = t + -37. Is 25209\/54 - c\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6 + 0.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -494, -472, -428, -356, -250?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 10 = -3*s - 3*j, -2*s - 9 + 8 = -2*j + 7*j for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 2259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.351 (b) -1 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 167 = 58. Is (-5)\/((-10)\/q - (-2948)\/(-4404)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyoyvovooovqqooqv. Give prob of picking 2 o and 1 q.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u. Let c(j) = 2770366*j**2. Determine c(x(s)).\nAnswer: 24933294*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -190, -617, -1442, -2797, -4814?\nAnswer: -7625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220202 (base 3) to base 4.\nAnswer: 111311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 6:27 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**2 + 20*v - 6. Give x(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2471664?\nAnswer: 2, 3, 13, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -8 (b) -78 (c) -0.5 (d) -5 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.151?\nAnswer: -0.0755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-32) + (3850\/40)\/11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 m when four letters picked without replacement from {m: 9, d: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2086.9 to the nearest 10.\nAnswer: -2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -2\/7, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3279160 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10 and -1 + 7 + 42196\/(-7056)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 51. Let p(o) = -1. Let w(h) = h**2 + 7*h + 13. Let a(d) = 4*p(d) + w(d). What is the remainder when b is divided by a(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1821*d**3 - 11*d**2 + 2716*d. Let o(m) = 455*m**3 - 3*m**2 + 679*m. Let w(k) = 22*o(k) - 6*r(k). Find the second derivative of w(f) wrt f.\nAnswer: -5496*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t. Suppose 268*b + 21 = 289*b. Which is bigger: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiiilljfllljjjc. What is prob of picking 1 c, 1 l, and 1 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12210021202 (base 4) in base 10?\nAnswer: 1720930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 148*w = -100*w + 343666. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llccclccccllcc. Give prob of sequence ll.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 38288328.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2131010 + 1303010?\nAnswer: -222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1031 * -2496.\nAnswer: 2573376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 8:59 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5576 divided by 2\nAnswer: 2788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4847, 4923, 5009, 5105, 5211, 5327, 5453?\nAnswer: 5589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2582?\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 + 7*q**3\/2 + 39*q**2\/2 - 203*q\/2 - 245.\nAnswer: -(q - 7)**2*(q + 2)*(q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000087874 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1205.7 or -1.0764?\nAnswer: -1.0764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 1190?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 3*m**6\/10 - m**5\/4 + 31*m**4\/12 - m**3\/3 - 4*m. What is the third derivative of z(l) wrt l?\nAnswer: 216*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51508 and 1738.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 + (2 + -4 - -4). Let h = 70 + -43. What are the prime factors of 4\/y - (-291)\/h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 18. Let s(d) = -2*d - 6. Let h(l) = l + 5. Let t(i) = -6*h(i) - 5*s(i). Let p(b) = b. Let q(v) = -9*p(v) + 2*t(v). Determine o(q(n)).\nAnswer: -n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, q: 7}. Give prob of sequence kqkq.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 327582908 + -327583422.0001127. Let k = -514 - f. What is k rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2 + 4. Let t = -0.7 - z. Let g = -138\/29 + 581\/116. What is the third smallest value in g, t, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1418 - -2373. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j - 22. Let f be r(-4). Find the third derivative of 7*w**3 + 2*w**4 - 14*w**2 + 17*w**f + 14 + 6*w**3 wrt w.\nAnswer: 48*w + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - 3*j**3 + 6*j**3 + (575 - 17*j**2 - 575)*(-2*j - 3 - 1 + 2) to o*j**2 + r*j + c + a*j**3 and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 72. Let a be b\/5 - 596\/(-5). What is the greatest common divisor of a and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (((-29 - -14) + 2 - -35) + -8).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10580276?\nAnswer: 2, 7, 23, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3139 - 3208. Let g be 4\/14 + (-858)\/14. Let y = g - i. Calculate the remainder when 37 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12235575*x**4 - 798*x + 191633?\nAnswer: -146826900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 3*n - 7*n - 4*n + 5*n to the form f*n**3 + a*n**2 + i + q*n and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15620 = 534*q - 250*q for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 40 = -4*n, 60*b - 62*b - 5*n + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -3269847?\nAnswer: 3269847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-581618.\nAnswer: -2908090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 12:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2500 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7826007 to the nearest integer?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10654\/9035 - 258\/139. Find the common denominator of z and -1\/5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280143218 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*w + 15, w = 5*g - w - 27. Let j(o) = -o**2 + 5*o + 5. Let v be j(7). Let p = v - -13. What is the remainder when g is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 2\/2) + 9. Suppose 0 = 3*t - 3*n + 9, -6*t + 4*n - 18 = -t. What are the prime factors of t\/(-2)*(p + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 5*m**2 + 2*m - 5. Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5054 + 5063 - 6*j - 10131)*(2*j + 2 - 2) to s*j + f + o*j**2 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59187, 118370, 177553, 236736, 295919?\nAnswer: 355102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927129187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -12. Let n = 2.22 - -0.78. What is the closest to 0 in 0.1, z, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 8*q - 228 + 426 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717 = 267*p - 618 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10 = -2*g, 25 - 5 = -4*t + 4*g. Which is greater: t or 2\/169?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 924 and 10795246?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4647722 (base 9) in base 15?\nAnswer: -349462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(-1\/3)\/d)\/d)\/(d*d*d\/d**2*d)*d**(3\/7)*d**(-3\/4))\/(((d*d**2*d)\/(d\/(d**0*d)))\/(d**4*d**(2\/7)\/d)) assuming d is positive.\nAnswer: d**(-367\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6 + o + 6*o + 0. Let a(f) be the third derivative of 55*f**2 + 0*f + 0 - 5\/6*f**3 - 1\/4*f**4. Give -5*a(p) - 4*c(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 - 9*m + 2. Let i be q(0). Solve 0 = -l + 4*p + 3, -i*l + p - 2*p - 12 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 + 11) - -22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -819, -2015, -3179, -4299, -5363?\n\"Answer: 2*r**3 + 4*r**2 - 1222*r + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(-1 + sqrt(7))*1)**2.\nAnswer: -50*sqrt(7) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 + 2\/(-9 - -3). Let v be (10\/(-6) - -2)\/(c\/(-6)). Solve y = -v - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avvoovo. What is prob of picking 3 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 99 = -11*v + 14*r, -40*r - 37*r + 74*r = 4*v - 112 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.77438412*0.4\nAnswer: -0.709753648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-54)*3)\/((-2)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3\/9 + 842*f**2\/3 = 0?\nAnswer: -1263, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.4 - -1.4. Let n = o - -37. Let d = 27 - n. What is the biggest value in -0.1, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1463394 and 1.72.\nAnswer: -2517037.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12\/((-24)\/(-26))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 6136*s**3 - 111900*s**2 - 242192*s - 124160 = 0. Calculate s.\nAnswer: -1552, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30823 divided by -3?\nAnswer: -30823\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 1, -1, 0, 16 in descending order.\nAnswer: 16, 1, 0, -1, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 361 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f - 9 = 0. Suppose f*w = 2 + 4. Solve 0 = -2*i + 8 + w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23889639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**2 - 2. Let g(t) = 23*t**2 - 2*t - 421. Determine g(p) + 4*h(p).\nAnswer: -p**2 - 2*p - 429","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -117747 or -117745?\nAnswer: -117745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.590136\nAnswer: -3.540816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**8\/2240 - p**7\/2520 - p**6\/720 + 2*p**5\/15 - 3*p**2. Let t(o) be the third derivative of y(o). What is t(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -812921, -812922, -812923, -812924, -812925?\nAnswer: -812926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -173*r - 581*r - 61*r - 318*r + 38. What is the units digit of z(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 574888 = 2*q - 574881, -3*f - 6 = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.202 + 4.702. Let u = 39 - 37.1. Let h = -2 + u. Sort -3, h, y in ascending order.\nAnswer: -3, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62558970 to the power of 1\/2, to the nearest integer?\nAnswer: 7909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 91072 (base 14) in base 8?\nAnswer: 1250654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216244072 is divided by 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.81825 grams in tonnes?\nAnswer: 0.00007881825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2 - 35 - 3*q**2 + q**2 - 65 + 5*q**2 = 0?\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4079304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 356 + -353. Let r = 265 + -270. Which is the closest to -4? (a) o (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-134992260)\/135)\/(-13)*6\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1930, 1931, 1932, 1933, 1934?\n\"Answer: p + 1929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b + y + 27, 0 = -3*b + 2*y - 24. Let c(o) = -o**2 - 4*o + 6. Let x be c(b). Let z be (-2)\/(-9) - x\/(-27). Which is smaller: z or -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246 + -248.06. Let p = -2 - l. Let t be 40 + -34 + (3 - 2) + -4. Put p, 2\/17, t in decreasing order.\nAnswer: t, 2\/17, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x - 27. Let l(t) = -2*t**3 - 19*t**2 - 10*t - 18. Let g be l(-9). Let o be d(g). Let n = o + -88. Solve -20 = n*q + 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 64. Suppose -22*o + 16*o - 6 = 0. Put o, d, 5 in descending order.\nAnswer: 5, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d88 (base 14) to base 6\nAnswer: -20204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 186, 4435, 8682, 12927?\n\"Answer: -w**2 + 4252*w - 4065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/16*788904\/(-54) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 776 (b) 2\/3 (c) 96\/17 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22235503 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -57*w**3 + 114678*w**2 - 57673980*w - 6072216 = 0.\nAnswer: -2\/19, 1006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 204, 626, 1434, 2754?\nAnswer: 4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfp when three letters picked without replacement from rrprrefrcppe?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose d = y + 2*y. Suppose y = 2*b - 6 - 24. What is the remainder when 59 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/30 - k**5\/10 - k**4\/12 - 56*k**2. Solve f(q) = 0 for q.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-192182)\/(-4))\/(8*-1). Let s = -6001 - k. Find the common denominator of -81\/8 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2. Suppose -2*k + 8 = 0, 2*m - 3*m = -k. Let b(f) = -m - 1 + 5 + 2*f**2 - 32*f. What is b(j(c))?\nAnswer: 2*c**4 - 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**3*v**2 + 2*u**3*v + 9835*u**2 + 18*u*v - v**4 - 788700*v**3 - 3*v wrt v.\nAnswer: -10*u**3 - 12*v**2 - 4732200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -834 - 2*n + 207 + 201 + 207 + 187.\nAnswer: -2*n - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*g + 12, 4*g - w - 27 = -3. Let m = g - 2. Suppose -3*f - 2*c = -42, 2*f - 24 = c + m. Calculate the lowest common multiple of 22 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/9 (b) 0 (c) 3 (d) 4 (e) 2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -66.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -32. What is the units digit of (-3)\/(k + 365\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -189. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = -7, -z + 28 = 4*k. Suppose -z*i + 260 = -11*i. What is the smallest common multiple of i and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/3*5790\/(-8 - -18).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + 108 - 109 - 3*i**3 to the form j + d*i**2 + x*i + q*i**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 5, -5, 3, 0, 288, -1 in decreasing order.\nAnswer: 288, 5, 3, 0, -1, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6*-3*95\/(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/120 + i**5\/60 - i**4\/12 - i**3\/3 - 44*i**2. What is r(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.78 and -29.\nAnswer: -138.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 + m**2 - 422*m + m**2 + 10918 - 10918. Let k(b) = -2*b. Calculate n(k(x)).\nAnswer: -12*x**2 + 844*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1404 divided by -5820.\nAnswer: -117\/485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let v(i) = -49*i**2. What is h(v(c))?\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6316*i - 8065*i + 669 - 669 as s*i + f and give s.\nAnswer: -14381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100110111110000 - 100001001000?\nAnswer: -1010101011000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 123 = -81. Suppose -15*b = -y - 123. Let h(j) = -j**2 - 6*j + 5. What is the remainder when b is divided by h(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 7. Let z be (0\/(2 - 0))\/1. Put 2, f, z in increasing order.\nAnswer: f, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 13749.\nAnswer: 164988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 22*x = 16. Suppose 2*y = -5*n + 77, x*y + y = 4*n - 55. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4\/5 (c) 11 (d) 168.749 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 27 and -2161.\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*(v**0*v)\/v*v*v**(-6)*v*v**(-4\/3))**(1\/30) assuming v is positive.\nAnswer: v**(-67\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97 + 82.8. Let s = t - -14.199905. What is s rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*c + 0*c**3 + 5*c - c**2 + c**3 + 1 to the form b*c**3 + t*c**2 + z + q*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {u: 5, f: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*p + 11 - 481 = 0, -w + 458 = -3*p. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 353502 and 6642.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2157661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 - 104*p - 244. Give k(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44304 - c?\nAnswer: 442c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -52. Suppose -2*q - 5*h + 25 = 0, -b = -5*q + 3*h - 8. Suppose c - 17 = -0. Calculate the remainder when c is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 8. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*-2*3)**2 + -2.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11607 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 27*k. Let r(c) = 96725*c. Determine r(d(y)).\nAnswer: 2611575*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -2*x**6\/15 - 8*x**5\/15 + 11*x**2. What is the third derivative of f(g) wrt g?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -22) + 55 - 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -234020458 less than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.459289 to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*n + 206*n + 151*n + 10*n**2 + 13*n - 75*n**2.\nAnswer: -65*n**2 + 513*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 41\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 + 222. Suppose 2*j + 14 = 3*l, -5*j - 13*l = -m*l + 14. Sort -3, -11, 4, j in ascending order.\nAnswer: -11, j, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228.91 * -1\nAnswer: -228.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**(-4)*f\/f**(-7\/2)*f**3 assuming f is positive.\nAnswer: f**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 - (-28043)\/435)\/(((-10)\/(-6))\/(-5)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 5. Let x(w) = 2*w**2 - w + 3. Let h be x(2). Let q be m(h). Suppose 549 = q*g - 5*g. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 24 = w. What is the lowest common multiple of w and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = u, 2*f = -2*u + 6*f. Let r = 14 - 7. Solve -5*b - r = u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8809, 8675, 8451, 8137, 7733?\nAnswer: 7239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/14)\/(5\/((-1575)\/(-2601)) + -8).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660891631.\nAnswer: 449, 1471919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21811, 21814, 21817, 21820, 21823?\n\"Answer: 3*w + 21808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 + 195. Suppose i = y - 78. Solve 8*f - i*f = -20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 13*r = 4. What is the smallest common multiple of 9 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/(-352)*4\/20)\/1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -406, -407, -408?\n\"Answer: -d - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 4*j + 4. Let h be l(-5). Are 0 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9388 and 8.\nAnswer: 18776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-195)\/25 + (-70 - -78)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 7*p**2 - 11*p + 4. Suppose 0 = -4*i - i + 60. Let b be i\/(-10)*160\/24. Does 14 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**1\/v)\/v))\/(v*v*v**(-1))*v**(-1)*(v*v\/((v**(2\/9)\/v)\/v*v))\/v*v assuming v is positive.\nAnswer: v**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13720 + 14385. Calculate the greatest common factor of 55 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {c: 4, b: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3129822?\nAnswer: 2, 3, 31, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*k + 20. Let d = k - 5. What is the second biggest value in d, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013 * -157.8\nAnswer: 159851.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - -44. What is the highest common divisor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 38*q + 121. Calculate p(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 3\/4, -17?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -11. Let t(j) = -j**3 + 8*j**2 - 4*j - 19. Let c be t(7). Let k(u) = 4*u + p*u - c*u - 4*u. Let m(z) = 6*z. Calculate k(m(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 + 20*h**3 - 5*h**2 - 3*h**2 + 8*h**2.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*5*2*(-58)\/(-348)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7445, -9665, -13319, -18401, -24905, -32825, -42155, -52889?\nAnswer: -65021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 19 = b, -5*b + 37 = 4*y - 12*b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 63280759673 and -1.\nAnswer: 63280759672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11400*l - 5. Let r be b(10). Suppose 5*q - 4*n = -190004, -4*q - 5*n - r = -q. Round q to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*(g\/g**(-14))\/g)\/g*g*g)\/(g*g**(-12)*g))\/(g\/g**(-15)*(g**(-3)*g)\/g) assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 + t - 1. Let q(x) = -x**2 - 12*x + 71. Let k(c) = -q(c) + u(c). What is the first derivative of k(y) wrt y?\nAnswer: 16*y + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -15, -2*d + 4*r = -d - 14. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0507666117 rounded to six dps?\nAnswer: -0.050767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + 0 + sqrt(1100) + sqrt(1100) + (sqrt(1100) + sqrt(1100) + -1 + -1 - sqrt(1100)))**2*-6 + -3.\nAnswer: -59557 + 1800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69978 or -69968?\nAnswer: -69978","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 5*p + 3*d, -9 = -3*d. Suppose p*u = 2*u + 18. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 178*p + 15. Let d(r) = -97*r - 8. Let o(z) = -11*d(z) - 6*y(z). Give o(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 78 = 93*l + 202 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2\/9, -5, 1\/130, 343?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (744\/1116)\/((-4)\/3*(-15)\/110).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143900 to the power of 1\/2, to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -34 - 286. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/1)\/(10*(144\/(-45))\/(-4)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1445572 + 23?\nAnswer: 1445595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1\/s*s))\/s*s*s**(-17)\/s)\/(s**(-8))**(3\/16) assuming s is positive.\nAnswer: s**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190 or -64825\/339?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + n + 31. Let j be l(4). Let v be j - -8 - 3614\/(-722). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 5. Let g be x(0). Suppose -9 = -2*q + 1. What is the third derivative of 2*h**q + 2*h**2 + 2*h**2 + 0*h**2 - 3*h**g wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**4 + 20*z**3 - 12*z**2 - 36*z = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*n + 22, -n - 2*n = j. Suppose 2*g = -2*k + 88, -j*k + 2*k + 78 = 2*g. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 15*d - 37. Determine l(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -23. Suppose 0 = -2*n + 4*n - 56. Suppose z + 3*z = n. Calculate the remainder when z is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by 97569\nAnswer: 20\/10841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2 + 5. What are the prime factors of (11 - 7) + (-5)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35215448 to the power of 1\/3, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64441?\nAnswer: 13, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 6 = 0. Let t(r) = r + 2*r**o + 0 - 3*r**3 + 4*r**3 - 3*r**2 - 6. Let g(b) = b**3 + 5*b**2 - 5*b + 6. Let y be g(-6). Determine t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/27 - 1*(2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 568482244 and 28.\nAnswer: 3979375708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 5*u = -3*i - 4, 5*i - 10 = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a + 3*a - 3 - 3*a**5 + 188*a**2 - 223*a**2 - 3*a wrt a.\nAnswer: -60*a**3 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(80) - (sqrt(80) + 1 + 2)) + 2*(sqrt(500) - 1*sqrt(500))) + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.000064 + 16. Round t to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 44*q**2 + 7*q - 175. What is h(44)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2) - -2 - -2)*-2. Let u = o - -13. Find the third derivative of -3*g**u + 7*g**4 + 3*g**4 - 12*g**2 wrt g.\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - 11 - 1\/(2\/(-4)). Solve a = 3*q + 2*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 12. Let n be (r + 2)\/((-4)\/(-236)). Let w = 114 + n. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4946*h**4 - 8*h**2 + 101*h - 61. Let v(x) = -3297*x**4 - 5*x**2 + 68*x - 40. Let b(s) = 5*r(s) - 8*v(s). Find the second derivative of b(k) wrt k.\nAnswer: 19752*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31219 - -2?\nAnswer: -31217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/23)*u)**(17\/4))**47)**(1\/16) assuming u is positive.\nAnswer: u**(19975\/1472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -728066*g**3 + 1054*g + 35 - 35 + 728067*g**3 as y + w*g + d*g**2 + a*g**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*t = 124*t + 44 + 5. Solve 4 = -i + 3*w + t, 0 = 4*i - w - 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 34. Let o = 37 - y. Let f(g) = 2*g**3 + 2*g**2 - g - 2. Determine f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -39, -22, 5, 42, 89, 146?\n\"Answer: 5*k**2 + 2*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 20 = -21*a - 30*a + 49*a, 5*j = -2*a - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1402552 to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - 1e378?\nAnswer: -1e355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (6 + -1)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6 = 4*b, 3*c + 5*b + 16 = 25 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 - -11?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-7)\/21)\/(2\/(-24)). Suppose 0*r = 4*c - 2*r + 6, -q*c - 5*r + 1 = 0. Let k be (16\/(-15) - 0)*5\/6. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5178*b**2 + 2*b. Let n(t) = 6*t + 2. What is n(w(h))?\nAnswer: 31068*h**2 + 12*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 234\/10 - 84\/(-140). Solve -13*r + 7*r + l = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1692 and 5828.\nAnswer: 52452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*p - 4921 + 17301, -p + 2501 = 4*r. Let i be (20\/(-6))\/(-5) - p\/9. Let f = i - -509. Calculate the highest common divisor of 26 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 594464993.\nAnswer: 2377859972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 7. Let p = -1.95 - -1.9. Let y = p + 0.05. Which is the third biggest value? (a) n (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1637 - 1635 - (12 + (1 + 0 - 3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -110309256 or -110309257?\nAnswer: -110309256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**4\/2 + s**3\/3 + 1. Find the third derivative of j(n) wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**2 - 13975883*v + 116946318?\nAnswer: 2*v - 13975883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 594950 and 240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 807.8142ml?\nAnswer: 0.8078142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c**2 - 46*c - 50. Let o(x) = -x**2 - 9*x - 10. Let z(r) = -11*o(r) + 2*v(r). Suppose q - 13 = -5. Let i be z(q). Solve 4*d + 6 = i*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/4 - 6\/8. Suppose -3*s = -x*s + 3. Is -8\/7 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 + 10 = 0. Let n(h) = 3*h - 4. Let f(k) = k. Let q(w) = -2*f(w) + n(w). Calculate q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 23. Is 6 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -12. Suppose 1 - 6 = -s*n + 5*q, 3*n + 5*q = 25. Let c = n + -4. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -71*w - 3560. Let b be a(-50). Let x(c) = -39*c**2. Let d(q) = 19*q**2. What is b*d(v) - 4*x(v)?\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2522455 divided by -5.\nAnswer: -504491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5425 - 5416. Suppose 6*b - 105 = b. Calculate the least common multiple of c and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(132)\/(sqrt(12) + (sqrt(180)\/sqrt(3) - sqrt(60))\/sqrt(5)) - (sqrt(44)\/(sqrt(4) - (sqrt(4) - sqrt(36))) + -5))*3)**2.\nAnswer: -1345 - 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111001010 (base 2) to base 3.\nAnswer: -1022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172447934 to the power of 1\/2, to the nearest integer?\nAnswer: 13132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 1:13 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22450502 + 2428634.\nAnswer: -20021868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083497 divided by 5?\nAnswer: 2083497\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1573)*4)**2 + sqrt(1573)*-2 + -5.\nAnswer: -22*sqrt(13) + 100667","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 67*a**2 - 2*a + 4. Let n(o) = -203*o**2 + 7*o - 14. Give 2*n(v) + 7*t(v).\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-246)\/30 - -9)\/(4\/13490).\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k. Suppose -5 + 4 = 5*l + 3*h, 2*l = -3*h - 4. Let g(c) = c. Let y(a) = -22*a. Let q(d) = l*y(d) - 3*g(d). What is t(q(n))?\nAnswer: -50*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + u - 1. Let o(v) = -12*v**2 - 5*v + 4. Calculate o(p) + 3*z(p).\nAnswer: -9*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416)\/(sqrt(56)\/sqrt(7)))\/(sqrt(12)\/sqrt(3)*-2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.41 + 0.41. Let q = -36.99979 - d. Round q to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Suppose 4 = 4*g, 0 = 3*t + x*g - 5*g + 9. Are t and -2 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 + 4*q - 43. Let t(u) = 63*u**2. Give m(t(w)).\nAnswer: 3969*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3. Let x be m(-1). Suppose -f - x = -7. Solve -8*y + 22 = -3*y + 3*i, -y - f = -2*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -968 - -973. Calculate the lowest common multiple of g and -12*-2*2\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858 - 825 = -11*d. Let c = -135 + d. What is the smallest common multiple of 26 and c?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 81*x**2 + 92*x + 804. What is o(-82)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*x - 10*x - 9*x - 16*x to the form p + y*x and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**7\/840 + i**6\/120 - i**5\/40 - i**4\/8 - i**3\/2 + 4*i. Let g(x) be the second derivative of d(x). Is 23 a factor of g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/21*(-9)\/(-1953)*-7*-3.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -20.7. Let j = 3.84 - 4.84. Which is the closest to -2? (a) y (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -68\/3. Let o = -3 - -3.1. Let b = 150 - 154. What is the closest to m in -2, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 60. Suppose 0*c - m*c = -285. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72009 + -72010. Let n = -2 - -1.8. Let l = 0.6 + -0.2. Which is the nearest to n? (a) l (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(12\/9)\/(-1). Let o be 44\/8 - 4\/h. Suppose -o*n = 4*t - 225, -3*t + 279 = 2*t + 4*n. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.055, -0.1, 0 in decreasing order.\nAnswer: 0, -0.055, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8076, -16128, -24184, -32244?\n\"Answer: -2*v**2 - 8046*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 180504 (base 9) to base 5\nAnswer: 12040241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -3*r**2\/2 - 4*r + 72. Let s(a) be the first derivative of -a**3\/3 - 3*a**2 - 9*a - 20. Calculate 7*h(p) - 3*s(p).\nAnswer: 3*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*h - 15, 0 = 2*h + 35 - 29. Solve 14*c - 57 + 1 = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15*v**2 - 21*v - 8. Let q be p(-35). Let r = q + -10985. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i**3 - 1. Let q(r) = -2*r**3 + 82*r**2 + 1. Let k be q(41). What is p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48820 and 180460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**8\/336 - l**4\/8 - 2*l**3\/3 + 4. Let g(m) be the third derivative of s(m). Differentiate g(q) with respect to q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -2.75. Let o = f - 3. Let r be (-1)\/((35\/(-2))\/(-7)). Which is the nearest to -1\/4? (a) -4 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 - 4*r**3 + 8 - 3*r**3 + 12*r**3 - 24 + 21*r**2 - 39*r. Let w(o) = -o**3 - 10*o**2 + 18*o + 8. Let f(z) = -3*h(z) - 7*w(z). What is f(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -555 - -772. Suppose -s*k + 3 = -216*k. Let m(q) = -q**2 - 7*q - 6. Let c be m(-5). Solve k*h - 4 = -3*t - t, h - 12 = -c*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.12 (b) -5\/6 (c) -4 (d) -6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17831 is divided by 245.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31152\/(-18172))\/(-2*(-6)\/224).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26968768 = 26968767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/120 + 7*f**5\/10 - 43*f**4\/24 + 2*f**3\/3 + 2*f**2 + 40*f. Let l be g(-43). Sort -5, -6, -4, l in decreasing order.\nAnswer: l, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 122 = -151. Let n(q) = -q**2 - 6*q - 4. Let p be n(-5). What is the remainder when 2*p*(r + 3) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (5 + sqrt(684) + -1*sqrt(684) + sqrt(684) + sqrt(684)))**2.\nAnswer: 60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -1, -2\/7, 5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 20. Suppose -t = 7*p - 3. Suppose -4*j - 4*o - 9 = -29, -o + 4 = p. Solve 2*i - 6 = -b, b + 4*i - 15 = j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:47 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15150.5 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 735*j**2\/4 + 1467*j\/4 + 733\/4.\nAnswer: (j + 1)**2*(j + 733)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71.8 - 82. Let k = -10 - f. Which is the third biggest value? (a) -0.3 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -656*p + 642*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - c - 3 = 43*t, 16 = -4*t - 2*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:44 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 2.67 (b) -5 (c) 1\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - p**2 - p + 11. Calculate j(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(891)*4 - sqrt(891)) + 1 + -4)**2.\nAnswer: 648*sqrt(11) + 128314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36821 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/10 + 7*a**4\/24 - a**3\/6 - a**2\/4 - 10*a. Determine n so that w(n) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 + 0 = 0, -3*w + 4*d - 44 = 0. Let c(b) be the third derivative of b**5\/60 + 3*b**4\/8 + 2*b**3 + b**2. Is 4 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 13*u + 46, 2*u - 337 + 357 = -r - r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let y = k + 3. Suppose -r + 8 = -y*u + u, -r + 4 = u. Solve -3*s = -8*s + r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.3, 16\/3, 0.6 in ascending order.\nAnswer: -2, 0.3, 0.6, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v + 5*o, -4*v + 0*o + 4*o = 52. Let u = 5 + -3. Let x = u - v. What is the remainder when 47 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/2128 and -67\/2167102.\nAnswer: 17336816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46803587071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w - 83. Let a be o(-7). Solve 0 = -3*l + 2 - a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 11*c - 192 + 229, -16 = 2*r - 3*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89732889 and 27?\nAnswer: 269198667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -23. Let a be (7\/4)\/(1\/(-20)). Let b = y - a. Calculate the smallest common multiple of b and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 936?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylblllllyblylrlzl. What is prob of sequence lyr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27316.65 seconds in microseconds?\nAnswer: 27316650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 80 = -4*u, 0*i + 2*u + 14 = i. Suppose 48 = 9*j - j. Suppose -5*t + j*b = 5*b - 74, t - 18 = b. What is the smallest common multiple of i and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42a5 (base 11) to base 14.\nAnswer: -20db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022 + 4660 = 361*s - 3343 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 9*q = 10. Suppose 0*f - 3*v + 14 = 2*f, 2*f + 5*v = 14. Let g be f\/q - (-2)\/(-4). Solve -r - 1 = -g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2*x - 9 + 3*x)*(-3*x + 5*x + 3*x) - x**2 - 2*x**2 + 4*x**2 to o*x + u*x**2 + d and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 5*r**2 + 188*r - 21. Calculate v(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1136.516nm?\nAnswer: 1.136516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53.1? (a) 0.4 (b) -2 (c) -87 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -12\/8423 (b) 1 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*o - 25 = 0, 4 = -2*l - 5*o + 29. Suppose -h = -l - 3. Let m(x) = x - 1. Calculate the smallest common multiple of m(h) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(-4)*z)*z))**(-36)*(z\/z**(3\/8))**34)**20 assuming z is positive.\nAnswer: z**3305","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, 202, 263, 308, 331, 326, 287, 208?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2900 - -3691. Calculate the greatest common factor of 678 and b.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*l**2 - 3089*j**2*l + 2*j*l + 78283*l**2 - 3*l wrt j?\nAnswer: -4*j*l**2 - 6178*j*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.1, 2\/15, 4, 2, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let f(h) = 68778*h + 234. What is f(v(w))?\nAnswer: -137556*w**2 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = -h, -h + 2*h - 9 = 2*u. Suppose 6 + 1 = -4*o + h*i, -3*o - 3*i + 21 = 0. Let c = -7 - -2. Put o, c, 1\/4 in increasing order.\nAnswer: c, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3 + 386*b**2 + 2291 wrt b?\nAnswer: -3*b**2 + 772*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 - 5*i**3 - 19*i**3 + (3*i - 2*i + 0*i)*(3*i - 3*i - i**2).\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**2 - 6*c + 2*c + 4*c.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25340 * 4.\nAnswer: 101360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1466 - 1440. Solve x*h = 3*g + 30*h - 19, -g + 2*h = -3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-963)\/642*(-172)\/(-6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10927*n**3 + 145682*n**2 - 145682*n**2.\nAnswer: 10927*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) 2 (c) 1.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31638049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 632706 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 120?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380313 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 9:31 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 - 5*d**2 + 2*d + 5. Let a be r(3). Solve 100*o**3 - a*o**3 + 1 - o**4 - 1 + o**2 + o**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110111 + -1?\nAnswer: -1010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -32, 5, -1.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1635421.\nAnswer: -163542.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6539764 and 84932.\nAnswer: 6539764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -0.4, 2\/11, 597 in descending order.\nAnswer: 597, 0.5, 2\/11, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k + 23 + 182 = 0. Solve -k*h + 9 + 4 = s, 4*s = -5*h + 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 400*u - 1596. Calculate p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 28*a**2 + 558*a + 30. Calculate the smallest common multiple of 112 and x(-20).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*g = 1 + 30. What is the fourth smallest value in g, 2, -37, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -213*p - 7773. List the prime factors of m(-86).\nAnswer: 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1063 + 1985. Which is greater: -2\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202340 (base 6) in base 10?\nAnswer: 16116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2*p)*(1 + 2 - 1) - p + 2*p - 2*p + 2*p + 2*p - 3*p)*(-9303 + 6229 + 13132).\nAnswer: -40232*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70 - 4*k - 70 to z + c*k and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(1391\/1284)\/((-2)\/36).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 14, -7, -46, -109?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74*(1 + 92\/(-8)). Let y be (o\/(-42))\/(2\/(-4)). Let b = -19 - y. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*l = -10, -5*n + 2*n + 3*l = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -324 + 327. Solve -5*v - 4*a = 15, 4*v - w*v + 3*a = -14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**3 - 3*m**2 + 6*m - 4. Let t be k(-5). Let u = t + 9781\/10. Calculate the common denominator of -145\/24 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(2500\/(-15))*(-24)\/(-3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1096709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1377*s**3 + 1751 - 1351*s**3 - 939 - 812.\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:03 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30\/7 (b) 0.02 (c) 0 (d) -155 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 (base 14) in base 6?\nAnswer: -2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from jzlwcwk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 1. Let n(h) be the second derivative of h**4\/4 + 3*h**2\/2 + 17*h. Calculate 17*m(r) + 6*n(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 41. Let y be (-4)\/(-6) + (-62)\/(-6). What is the greatest common divisor of y and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/60520 and -3\/85.\nAnswer: 60520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-4)\/(-1)))\/(4\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4223035 - 0?\nAnswer: -4223035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - (8 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avy when three letters picked without replacement from mvymmnmmmmbvmymaymm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7712.361 days in microseconds?\nAnswer: 666347990400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 9. Let n(v) be the first derivative of -2*v**3\/3 + 5*v - 59. Calculate 7*n(w) + 4*y(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/9*z - 8\/9*z**2 + 4\/9.\nAnswer: -2*(z - 2)*(4*z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -98*l**2 + 687*l. Let p be n(7). Suppose 11 = 2*o + 4*w - 15, 0 = 5*o - 4*w - 23. Calculate the greatest common divisor of o and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 892 and 54.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**4\/18 + 4*l**3\/9 - 14*l. Find p, given that z(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-10)*-1*(-115)\/(-23)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/23)*k**(-1\/5)*(k\/(k\/(k\/k**(-3\/11))*k*k))**41)**4 assuming k is positive.\nAnswer: k**(-151672\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1186184 times 50\nAnswer: -5.93092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 253*k - 251*k + 5*y - 20, 0 = 5*k + 2*y - 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 less than 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 b when four letters picked without replacement from baahexahahibibeiaab.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4079.37 to the nearest ten.\nAnswer: -4080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + 0 - (3 + -7 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 11:14 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = 4*f - 7, f + 2*b = 2. Solve 0 = 5*x + f*w - 8 - 7, 14 = x + 3*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-9) + -357 + 4. Let y = b + 468. What is the remainder when y is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 21 = 50*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-1729)\/28)\/(-13) - 5)\/((-2)\/1100824) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**6\/120 - 329*d**5\/40 - 36299*d**4\/16 - 26978*d**3\/3 - 13448*d**2 - 617*d - 1. Factor j(r).\nAnswer: -(r + 1)**2*(r + 328)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + r)*(-3 + 3 + 1)*(-r**4 + 2*r**4 + r**4) + r**5 + r**5 + 2*r**5 + 2*r**5 + 4*r**3 - 4*r**3 + (r + 3*r - 3*r)*(-r + r**4 + r).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.7 + 18.7. Let b = 8 + -6. Let t(k) = k**2 + 1. Let s be t(1). What is the closest to b in 5, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*6\/(-2). Let v = 6 - 3. Let s be k - (v + -2) - -8. What is the highest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 371*f**2 + f - 2. Suppose 75*b - 74*b = 1. What is the tens digit of t(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1665680 and 19049?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 m, and 1 t when four letters picked without replacement from tbimbtmiambbbbt.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871860206 rounded to the nearest one hundred thousand?\nAnswer: 1871900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3\/6 + 715805*r**2\/6 + 1431595*r\/6 + 715795\/6 = 0 for r.\nAnswer: -143159, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 = 3*n. Suppose -2*b + 18 = 2*g, 12*g = 5*b + 13*g - 69. What is the least common multiple of 0 + n + -5 + 54 and b?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4244599712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 629 - 72. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 21. Calculate the highest common factor of w and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 3*m**3 + m**2)*(57 + 35*m - 80*m + 46*m).\nAnswer: -3*m**4 - 171*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -345701406*g**3*n - 720*g**3 + 5565*g**2 - 24*g wrt n.\nAnswer: -345701406*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -37175 divided by -37175\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 80*c + 154. Calculate the remainder when 320 is divided by z(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w - 5. Let t(f) = 20*f - 14. Let c(s) = 14*o(s) - 5*t(s). Let i(u) = 40*u + 55*u + 79*u + 55*u - 320*u. What is c(i(g))?\nAnswer: 182*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16084 is divided by 209?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -36 - 12 - (2 + (1 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 17 - (30 + 24 - 116)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(2) - (-1*sqrt(2) - sqrt(2))) - (sqrt(288) + -1)) + -5 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*v**2 + 79 - 228*v**2 - 1896.\nAnswer: -7*v**2 - 1817","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-5*h - h + 3*h) + 6 - 46*h - 6 + 2*h.\nAnswer: -47*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k - 18*k + 4*k + k + 4*k - 28. Give q(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/6*-6 - 7. Which is the closest to -1? (a) h (b) -2 (c) -5 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhhb when four letters picked without replacement from hbbbhbbhhhhh.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4660, 6637, 8578, 10465, 12280, 14005, 15622?\n\"Answer: -3*k**3 + 1998*k + 2665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3*z + 149 - 134, 0 = -4*z + 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 5*b - 5*z + 11 = 0, z - 19 = 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-16)\/(-4) + -1. Factor 6*y**2 - 3*y**3 - j + 5 + 0 - 3*y.\nAnswer: -3*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4925486?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - a. Suppose -g - 69 + 69 = 0. Suppose g = t + 2*l, 0 = 3*t + 2*l - 0 - 4. Let d(b) = -5*b**2 - 2*b + 2. Determine t*n(y) - d(y).\nAnswer: 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (302580 - 3*a**2 - 13*a - 605216 + 302482)*(0*a - a + 0*a) to the form s*a**3 + z*a**2 + y*a + m and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8808392, 8808395, 8808400, 8808407?\n\"Answer: p**2 + 8808391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -28\/1725?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, j: 3, q: 5, y: 1}. What is prob of picking 1 y, 1 q, and 1 j?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c - 1. Let w be k(-4). Let i = -221\/207 + 13346\/1449. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, -6, -23, -40?\n\"Answer: -17*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 - 4*u**2 - 3*u + 2*u)*(u + 2*u - 6*u) - 72 - 38*u**3 + 72 to the form y + d*u**3 + m*u**2 + c*u and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 126*t - 4871. Let j(q) = 47*q - 1623. What is -8*j(a) + 3*z(a)?\nAnswer: 2*a - 1629","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 41616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*a - 2*f + 11, 36 = 2*a + 4*f. Suppose 0 = 5*t + 15, -5 - 3 = -i + t. Solve 3*c + a = 5*q, q + i*c + 10 = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50036794312 from -2.\nAnswer: -50036794314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -387.32 - -390.32. Let c = -7 + 14. What is the second smallest value in 0.3, -2, c, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 144?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(880))*-3)\/(sqrt(132)\/(sqrt(12)*-4))*-4.\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) 2 (c) 1496\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115851473 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrffslclflsslllls. Give prob of picking 3 f and 1 l.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -1507831\nAnswer: 67852395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 18. Let s(k) = 3 - k**3 + 11*k + 5*k**2 - 11*k + j. Determine s(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 60, 89, 76, 9, -124, -335, -636?\n\"Answer: -2*x**3 - 9*x**2 + 70*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110 (base 3) to base 5.\nAnswer: 2321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -197 by -4.\nAnswer: 197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 0.42 (c) 3 (d) 2369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5209 in -3, -2\/5, 2.337?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - (3 + (6 - (5 + 5))))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -81, 6 in increasing order.\nAnswer: -81, 1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o**(-4)*o)\/o)\/o)\/o)\/o)\/o*o**(-4)*o)**(-6\/13) assuming o is positive.\nAnswer: o**(66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 7*i - 35. Solve -i*z - 2*c - 16 + 0 = 0, -z + c - 7 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let k(n) = -4 + 5*n + 0*n - 3*n + 12 - 18. Calculate k(f(l)).\nAnswer: -4*l - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 731 + -507. Let z(s) = -218*s**2 + 885*s**2 - 222*s**2 - c*s**2 - 223*s**2. Let l(h) = -87*h - 3. Calculate z(l(d)).\nAnswer: -15138*d**2 - 1044*d - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**2 + 118*c + 411. List the prime factors of y(-46).\nAnswer: 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-148)\/111 - (-3 - 205\/(-105)). What is the closest to 55 in -0.2, -0.1, y, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -0.1 (c) 0.4 (d) -8270\/9 (e) 0.132 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 17*v + 43. What is q(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {j: 1, g: 10, p: 4, t: 4}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04983? (a) 2 (b) -21\/253 (c) 3\/5 (d) -5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 361*j - 121*j - j**2 + 2 - 117*j - 123*j + j**3. What is t(-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**4 - 36*x**3 + 908*x**2 + 2916*x + 1976 = 0?\nAnswer: -19, -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 561 - 784 + 1009 + 23*f**3 - 786 + 0*f**2.\nAnswer: 23*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - g - 2*g)*(-47258 + 15617 - 23007 - 9682) to k + h*g and give h.\nAnswer: 128660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19))*3*-3 + sqrt(38)\/sqrt(2)*-1 + sqrt(19) + 5.\nAnswer: -9*sqrt(19) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29343198 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -296, -3, 11, -20\/3, -0.2, -4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 133 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 5, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -96) + 1888788\/(-18148).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.23 - 1.4. Let m = 8.17 + n. Let o = -7.3 + m. What is o rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llala?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o. Let h be (-6)\/(-4)*70\/15. Let g(w) = -2*w. Let j(k) = -k. Let f(y) = h*j(y) - 3*g(y). What is f(q(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2534 - 0.1534. Which is smaller: 8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 11:14 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(646\/(-476) + 3\/2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -22 - 5\/3*b**4 - 43\/120*b**5 + 0*b**2 - 7*b**3 + 0*b. Let v(y) be the third derivative of o(y). Differentiate v(f) wrt f.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 8*b**2 - 8*b + 13. Let n be g(-7). Solve 3*u + 2*u = -n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9594560 and 320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -1, 6, 0 in ascending order.\nAnswer: -162, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -17*n**3 - 21*n**2 + 5*n + 8. Let h(f) = -1 - 4 + 23 - 8 + f - 5*f**2 - 4*f**3 - 8. What is 9*h(q) - 2*m(q)?\nAnswer: -2*q**3 - 3*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5549, 2\/15, -3\/2, -2, 5?\nAnswer: -5549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-4)\/15)\/((-3)\/(-15)). Let r be -3 - z\/8*2. Let y(w) = w**3 + 3*w**2 - 6*w - 1. Calculate y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**3\/3 + 41*x**2\/2 + 18*x. What is the remainder when h(-11) is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366401 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**6\/2 + 41*j**4\/12 + j**2 - 41*j. Find the third derivative of i(z) wrt z.\nAnswer: -360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*m - 5*o - 248, 4*m - o = 460. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14652.6 - 14653. Sort x, -5, 0.138, -2, 5.\nAnswer: -5, -2, x, 0.138, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1775.9 * 5320\nAnswer: 9447788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 18 = -7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114068 is divided by 291.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/141 and 74\/225?\nAnswer: 10575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22a0 - 4075?\nAnswer: -6345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/2205 and -47\/973.\nAnswer: 306495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 12 + (18 + -4 - 20) + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*s**2 + 8480*s - 11280 = 0. Calculate s.\nAnswer: 4\/3, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.94 + -1.78. Let n = 17 - c. Let i = n - 6.84. Is i < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1 - 3*j + j + 3*j**2 - 2*j**2. Let k(z) = -z - 3. Suppose 3 = f + 1. Let i be k(f). Let d(t) = -2*t**2 + 4*t + 2. Calculate i*r(g) - 2*d(g).\nAnswer: -g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-5) + (-2)\/(-10). Let m(u) = u - 4. Let b be m(f). Let p = 11 + b. Solve -r + 15 = 4*k, -p*r - 25 = -3*k - 2*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 59?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1443629*x**3 - 884002*x?\nAnswer: 8661774*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 996 divided by 40\nAnswer: 249\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 14*a - 36. List the prime factors of (1\/2)\/(a*5\/(-2340)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182411 + -182410.299994. Let i = 6 + -6.7. Let r = m + i. What is r rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 100*h**2 - 105*h**2 + 181 - 177 - 4*h**3. Let b(l) = -5*l**3 - 6*l**2 + 4. Determine 3*b(d) - 4*k(d).\nAnswer: d**3 + 2*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*c = -15, 2*a = -2*a + 2*c + 10. Let s(n) be the first derivative of a*n - 1\/2*n**2 + 1 - 1\/3*n**3. What is the second derivative of s(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -16 - 1) + (-34 - -42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20\/7 (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584756291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10568*f = 10583*f - 360. Solve -f*w = -32*w - 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 14*m**2 - m - 9. Let q be b(-14). Suppose -7*x + q*x + 6 = 0. Let w be x + -9*2\/(-2). What is the highest common divisor of w and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((512\/15)\/4)\/(((-3600)\/(-5760))\/(100\/(-64))).\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 1. Let o(v) = 10*v + 6. Let a(p) = o(p) - 6*z(p). Let l(n) = -n. Calculate a(l(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.7282995 > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*8\/((-4)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**4*d + 6*b**2*d**2 + 3*b**2*d - b*d**2 - 102*b wrt b?\nAnswer: -36*b**2*d + 12*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15ac4 - 4c?\nAnswer: -15b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-4))\/(2 + -5) - 60\/240. Let c(q) = q + 51. What is c(l)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1 - 4. Let a = n + 5. Let f be (0 - (-2)\/(-4))*a. Put -2, 5, f in decreasing order.\nAnswer: 5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 + 416 - 18*q**3 + 20*q**3.\nAnswer: 2*q**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -302269*l - 2720421. Give g(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*1 - (116 + -108).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by ((-488)\/20)\/(2\/(-5))?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3503168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 5*r**2 - 7*r + 1. Let u be (-1*3 + -2)*1. Let p be j(u). What are the prime factors of 2\/(-3)*p\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 4*b - 3. Let v(k) = 8*k**2 - 7 - 9*k**2 + 6. Let f(l) = 4*v(l) - y(l). Determine f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6*v + v - 23, -62 = -3*r + 2*v. Solve 5*h = -c + r, 0 = -3*c + 6*c + 4*h - 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1\/2, -1298?\nAnswer: -1298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555 - 2*f - 6*f - 46.\nAnswer: -8*f + 509","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 683424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p*p**(7\/4)*(p*p**(-2\/9))**(-3))\/((p\/(p**(-3\/8)\/p))\/p**(-4\/3)*p\/(p*p**2\/p)*p\/(p*p**(1\/5)*p*p)) assuming p is positive.\nAnswer: p**(-731\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110011111110100110 - 10101001?\nAnswer: 1110011111011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3822 and 6552?\nAnswer: 45864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4.1. Do -1\/9 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*p + 98*p + 1440. Solve p + 255 = -60*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 + 47*l + 4. Let h(f) = -f**2 - 7*f - 8. Let s be h(-4). Does 16 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44671 - -10?\nAnswer: -44661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-20))\/(1*(-24)\/(-32))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*l - 27519 - 15181. Calculate the greatest common divisor of l and 322.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203056 is divided by 251?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 4*a + 4. Suppose 3*u + 2*u + 30 = 0. Let x be 7 + 3 + u + 1. Give v(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**2\/2 + 2*r - 23166. Suppose -3*o - 10 = -4*o + 5*f, -f = 3*o - 14. What is c(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -143*j**3 - 4. Let p(b) = 5004*b**3 + 139. Calculate -4*p(z) - 139*r(z).\nAnswer: -139*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 8:23 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*m + 2*m - 3, -5 = -2*m + p. Suppose 2*d = -q - q + 14, -q = -m*d + 2. Does 10 divide d + 0 + (-17 - -61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - n**3)*(-3*n + 4*n - 3*n) + 3*n**4 - 3*n**4 + 4*n**4 + (3*n**4 - 3*n**4 + 19*n**4)*(-1 + 3 - 4).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2886.2 + 3034.2. What is the smallest value in w, 3\/7, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1724, -1725, -1726, -1727, -1728?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 812 (base 11) to base 6\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(187))\/((sqrt(1617) + sqrt(33) + sqrt(33))\/sqrt(3)).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(12\/7)*u*u)\/u**(-6)*u**17*u**(3\/2))**(-47) assuming u is positive.\nAnswer: u**(-18565\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 6 + 9 + -39 + 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 244 - -5?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 13. Let a be (1 + -4)\/(1\/m). Calculate the remainder when 46 is divided by a*3\/((-27)\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920307954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15987*y**2 - 10181*y**2 + 82550*y**2 + 35051*y**2.\nAnswer: 123407*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/32535 and 63\/20?\nAnswer: 130140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7314*k - 107. Is l(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -944\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 83 = 4*h - 3*y, -2*y = 3*h - 46. What is the remainder when 24 is divided by (h\/4)\/8 - (-25)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmqmmmqqqkqqmqqkm. What is prob of picking 2 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1491\/(-426)*(-3)\/(84\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 227 and 6?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149 and 1913309.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30661855 to three dps.\nAnswer: 0.307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 34 = 3*u, -4*g - g - 1 = -2*u. Suppose -9 = b - 1. Let t = u + b. What is the least common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/4 not equal to 658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 158*y - 154*y + 2 = 0, 4*b = 4*y - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:20 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from xxgxnxgnx?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + 8. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169145 + -164859.66. Let a = -4244 + j. Let o = a - 41. What is o rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o - 52. Let c be 3\/5*(8 + (-21)\/7). Give w(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -28)\/(-5) - (0 - 0). Sort -10, g, -1 in ascending order.\nAnswer: -10, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 42*o - 39.\nAnswer: -3*(o + 1)*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(405) + -3.\nAnswer: -5 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 153, 519, 1229, 2397?\nAnswer: 4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 416482814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*c + 3 + (4 - 1 + 2)*(5*c + 24*c + 6*c) - 2*c + 2*c + 2*c + (-6*c + 6*c + 11*c)*(-1 + 1 - 2).\nAnswer: 157*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 153*n - 48 + 43*n + 7 - 195*n.\nAnswer: n - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-3) - (4 - -2). Let j = 8 - 15. Let s = j - g. Which is greater: s or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301381004 a multiple of 5719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (2*sqrt(99)*-2 - sqrt(99)))*-5 + ((5*3*sqrt(99) + 5)*4)**2.\nAnswer: 7275*sqrt(11) + 356780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 1, q: 2, z: 3}. Give prob of sequence nt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 420 + -23350031?\nAnswer: -23346311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 89. Suppose -27 = -4*s - 0*t - 5*t, -4 = p*t. What is the remainder when 20 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52765147?\nAnswer: 19, 2777113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - d. Let r(y) = 14*y**2 - 1 + y - 28*y**2 - 2*y. Let t(q) = -j(q) - r(q). Is t(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12606?\nAnswer: 2, 3, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 10*b - 13. Let v be y(11). Let d be (-15)\/(-6) + 1\/v. Let f be (-18)\/(-4) - 1\/d. Solve q - 2*q = f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, -205, -409, -607, -799, -985?\n\"Answer: 3*l**2 - 219*l + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3256c9 (base 14) to base 9.\nAnswer: 3178303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - 59. Let l = 47 + s. Let u = -31 - l. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:14 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(180))*6 + 0 + 1*sqrt(180))*3 + -2 + 1*((-2 + sqrt(180))*-5 - sqrt(180)))**2.\nAnswer: 1440*sqrt(5) + 40564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -328, -334, -362, -424, -532, -698, -934?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 408037571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 11. Let u be w(5). Let c(k) = 2*k**2 + 8*k + 6. Let t be c(u). What is the greatest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 212\/230 + 98\/(-70). Do x and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444, 1830, 4166, 7452, 11688, 16874?\nAnswer: 23010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e + 4a?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**2 + 0*o + 0 - 1\/12*o**4 - o**3. Does 4 divide x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l + l)*(5*l + 2*l - 5*l)*(2 - 2 - 49*l).\nAnswer: -98*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 divided by -18?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/9*(120\/(-400))\/(-5*3\/(-30))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.19, -0.7 in increasing order.\nAnswer: -0.7, -1\/3, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 6*c**2 - 2*c + 3. Let h be j(5). Let v be -2 + h*139\/2. Let w = v + -19957\/16. Find the common denominator of w and 93\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/17 (b) 2\/5 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 121bd (base 16) in base 8?\nAnswer: 220675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78901241?\nAnswer: 761, 103681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1051, -2135, -3905, -6703, -10871?\n\"Answer: -57*q**3 - q**2 - 682*q - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14050563 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679880265 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1300?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b**5 + 3*b**5 + 3*b**5 + (-3 + 4 - 3)*(2*b**5 + 4*b**5 - 4*b**5) + 0*b**2 + 2*b**5 + 0*b**2.\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -2463?\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -137 - 3101515775\nAnswer: -3101515912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 408635925*c**2 + 8349166164348240*c + 8349165755712320.\nAnswer: 5*(c + 1)*(c + 40863592)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25434 and 99224.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7175430 and 93280590?\nAnswer: 93280590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 1529 = 42*g + 918 - 1229 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0 + 0*v + 0*v**3 - 1\/18*v**4 + 19\/90*v**5 + 161*v**2. Factor x(c).\nAnswer: 2*c*(19*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/p*p\/(p**9*p)*p*(p**8\/p)\/p**(-8))**(14\/5) assuming p is positive.\nAnswer: p**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4486 - -4489. Solve 16 = 2*x - 3*f, m*f = -x + 4 - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119423 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -f + 3*k, -2*f - 74 = -6*f - 2*k. Let d = 28 - f. Suppose o - d = 6. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-57)\/9 + (-51)\/(-17). Which is the closest to 3? (a) 0.2 (b) m (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ssgsggsssssssssgggs.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - -2*sqrt(88)))\/sqrt(8) - sqrt(66)\/(sqrt(24)\/sqrt(4)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 17. Suppose 5*t - 135 = h. Find the first derivative of -10*o**3 + t - 50 + 0*o**3 wrt o.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -820 + 2656\/3. Let n = c + -586\/9. Determine s so that 0 - 10\/9*s**4 - n*s**3 + 2\/3*s**5 + 10\/9*s**2 - 4\/9*s = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4581496 + 2992475. Let q = 13973971 - l. What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1216) - (sqrt(1216) - (sqrt(1216) + 0 - sqrt(1216)))) + 5 - (2 + sqrt(1216)*2))**2*-2.\nAnswer: -9749 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 4*g - 3*t = 6, -2*t + 4 = 0. Suppose -k + g*k = 675. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46564*n**3 - 179724*n**3 - 17574*n**3.\nAnswer: -243862*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-1) - (-560)\/28*1\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 796, 72, -4, 3 in descending order.\nAnswer: 796, 72, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 - 23*j**2 + 145*j - 662. Give m(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 4 - 13. Suppose 4*z + c = -1. Let r be 2 + 2\/(z + 2). Solve -r*s - 18 = 2*t, 0 = -5*s - 2*t + 6*t - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63839 = -5*p - 3*g, 0 = p + 4*p + 5*g - 63845. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.4568742 to 1 dp.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1207869307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 0*y + 1\/24*y**4 + 1\/2*y**3 + 0 + y**2. Calculate c(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10045 by 49.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 95, -3, 5 in descending order.\nAnswer: 95, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18298638.\nAnswer: 2, 3, 67, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -416 * -0.26.\nAnswer: 108.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = t - 2, -33*m - t + 2 = -36*m. Solve m = -4*b + 104 - 120 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56204.8 - -4\nAnswer: 56208.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 0.05, 0.1, 64, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -12. Solve s*f + 17 = -2*j, -7*f - 37 = -2*f - 3*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8001 + -8000. Let a be (-1)\/(-3) - 1\/3. Is a greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25136499247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 + 209.1. Let d = 10 - t. Let p be ((-8)\/30)\/(24\/20). Which is the closest to d? (a) 0.3 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6919\/2057)\/((-2)\/(-22)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-8515)\/(-325)*(-3)\/(-6)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46863.1 decades in years?\nAnswer: 468631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**7\/840 + u**6\/360 - u**3\/6 - 4*u**2. Let s(h) be the first derivative of p(h). Find the third derivative of s(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -60. Suppose 4*q - 16 = -z*q. Suppose q*c = -0*c + 440. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26, 34, 48, 68?\n\"Answer: 3*d**2 - d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(((-3)\/30)\/((-74)\/(-925))). Solve -1\/3*m**c + 4\/3*m**2 - 2\/3*m**3 + 8\/3*m + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(-1\/2)*q)\/q*q)**25)**9 assuming q is positive.\nAnswer: q**(675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71\/(-213)*3\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 65*c**2. Let a(s) = -3*s**2 - s + 5*s - 4*s. Let w(x) = 45*a(x) + 2*f(x). Let k(h) be the first derivative of h**3\/3 - 1. Give w(k(d)).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 12*f + 14*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-96)\/320)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 3, j: 4}. What is prob of picking 1 p and 2 n?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {q: 1, g: 2, b: 4, j: 2, p: 1, i: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/55)*k)\/(k**7*k) assuming k is positive.\nAnswer: k**(-332\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 5. Let t be o(0). Let i = -5 - t. Let h be i\/(-2) + 11\/(-11). What is the nearest to 0 in -2, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22798 + 0.231. What is b rounded to 4 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 29. Let c(j) = -j**3 + 4*j**2 + 5. Let l be c(t). What is the greatest common factor of l and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/6*(-27)\/12. Suppose -8*o - t = -9*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4162858, 4162867, 4162880, 4162897, 4162918?\nAnswer: 4162943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -281*w - 204*w + 1485*w + 1181*w + 226824 for w.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8946 divided by 56403\nAnswer: -994\/6267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ppyfyfyppyyypyyyfpyf.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*t + 1\/3*t**2 - 148\/3.\nAnswer: (t - 1)*(t + 148)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**5\/11 - 62*o**4\/11 - 290*o**3\/11 - 310*o**2\/11 + 414*o\/11 + 252\/11 = 0. Calculate o.\nAnswer: -7, -6, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - -17. Let z = -25 + j. What is the biggest value in 4, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 39. Let t be x(-52). Suppose -2*m + 5*l = -4*m - t, 4*m - 2*l - 10 = 0. Solve 4*j - m = k - 10, j + 6 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4)*(-20)\/((-15)\/(-3)). Solve 0 = 4*b - 2*f - c - 1, 13 = -5*b - 2*f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77713, 77902, 78093, 78286, 78481, 78678?\n\"Answer: h**2 + 186*h + 77526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 + 16*h + 12*h + 31*h - 2*h**2 - 75*h + 11*h.\nAnswer: -2*h**2 - 5*h - 343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80059 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -3 (c) -273996 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 196555594207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(152)*2)\/(-1*sqrt(72)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6000)\/(11 + -17)*2476. What is r rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a6101 (base 11) to base 2\nAnswer: -100101101110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-6)*(-1008)\/(-224). Which is the closest to l? (a) -3\/4 (b) 0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/7*(601 + 5). Suppose -90 = v + i, -2*i - i + 332 = -4*v. Let k = v + p. Are k and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -18. Let d = u + 4.9999852. What is d rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/9, 1.3, -3\/8 in decreasing order.\nAnswer: 1.3, 2\/9, -3\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 14 = 286. Solve 18 = w*f - 7*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 285?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1384.12.\nAnswer: -138.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*y - 173. Differentiate 0*j - y + 7*j**2 - 22*j - 4*j**2 wrt j.\nAnswer: 6*j - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -449\/280?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358966.1 centuries to months.\nAnswer: 430759320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (0 - -2)\/(-2). Let m be (-326)\/10 - (-2)\/h. Let p = m + 63. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a + 1. Let w(g) = 29*g - 4. Determine 7*n(j) + 2*w(j).\nAnswer: -12*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 56700*r + 487. What are the prime factors of c(1)?\nAnswer: 13, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 255469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 4294 - 4262 = 0. Suppose -1434 = -2*y - 3*b, 5*y - 5*b + m = 7*y. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*q - 34*q - 100. Let d be 15\/q + (-115)\/(-10). Solve d*u - 6*u = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - -23 - -39 - 47?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1175192 by 16552.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 - 547920*t**2 + 3287412*t - 4931064.\nAnswer: 4*(t - 136974)*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 100*u + 1035 = -18*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let k(a) = -7707033*a. What is p(k(u))?\nAnswer: 59398357663089*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, -1, 17\/7, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-3)*p)*p*p**(-5\/6))\/(p*p\/(p\/(p**(-1)*p)*p))**(-7\/3))**(-11\/2) assuming p is positive.\nAnswer: p**(-209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -3, -1\/4, 1\/7, -0.7, 8, 0.82?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 16*r + 5. Let j be n(16). Suppose 2*p - 8736 = -j*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:44 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3000 and 636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2947 - 1.29471161. What is p rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -10*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 13*l**2 - 15*l + 77. What is o(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 2040253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23931927 a multiple of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10269 is divided by 416.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiddsvsstd. What is prob of sequence dv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10*(-395)\/474.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 y when three letters picked without replacement from yygyygoogygggyy?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 2*r**2 + 17*r + 11. Let i be y(5). Let j be (i\/70)\/((-3)\/6). Which is bigger: 4\/3 or j?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*p = -17, -4 + 15 = -u + 2*p. Let g = u + 24\/5. Which is the nearest to -1\/2? (a) g (b) 5 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-16)\/20 - (-14)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 0*b**5 + 1\/15*b**6 + 1\/3*b**3 + 0*b**2 - 3*b + 0*b**4 + 0. What is the second derivative of h(o) wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/55 - ((-104)\/44)\/(-13)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-38 + 35 - (46\/(-14) - 0))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/3*(60*(-60)\/(-800) - 3).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 475 (base 9) to base 16\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (184\/(-31) - -4). Which is the third biggest value? (a) z (b) 4\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171222*j**3*r**4 - 869*j**3 - 2*j*r + 16*r**4 - 539*r wrt r.\nAnswer: -2054664*j**3*r**2 + 192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581100580?\nAnswer: 2, 5, 31, 89, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 12:45 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2772\/22)\/(-42))\/(2\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 24 = 4*b, -20 = 2*r - 7*r. Suppose -6 = -0*c - 2*c. Let d be 2\/c + (-720)\/27. Put b, d, -2 in descending order.\nAnswer: b, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 11 + 11)*(31*j**2 - 7*j + 7*j) + 0 - 1 - j**3 + 4*j**3.\nAnswer: -152*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4*o**2 - 225*m*o**3 + 540*o**3 wrt m.\nAnswer: -4*m**3*o**2 - 225*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 56482\/23 (b) -3 (c) 0.1 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 850 and 16?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 7:01 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -8*q + 41. Give s(-9).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 2\/7, -0.4, 23 in ascending order.\nAnswer: -0.4, 2\/7, 23, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33\/254 - 72339\/2540. Let l = z - -115\/4. Solve 0 + 4\/5*h + l*h**2 = 0 for h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83990241457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 904\/28 - (-6)\/(-21). What is the greatest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Suppose -b - 3*i - 30 = -72, b - 2 = 5*i. Suppose 3*f + 3*z - b = 0, -z + 33 = 4*f - 0*z. Let d(q) = -8 + q + f. Give m(d(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*l**2\/5 - 3334*l\/5 + 1400 = 0. What is l?\nAnswer: -28, 125\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5675199?\nAnswer: 3, 113, 16741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4077, 4012, 3947?\nAnswer: 3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, -1, 5, -6532?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014882804 to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxtzim. What is prob of sequence tz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60406 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 780.6988 millennia?\nAnswer: 78069.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170207 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 655449227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/r**(-1\/21))\/r*r**(-8))**33)**(-7\/10) assuming r is positive.\nAnswer: r**(803\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/420*(-21756)\/(-504)?\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-8)\/32*(-10)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (65 - -6 - 105)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1154, -2199, -3250, -4307, -5370?\nAnswer: -6439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12582 (base 10) in base 9?\nAnswer: 18230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 15. Let x = -15 - h. What is the second biggest value in -1\/4, x, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 585? (a) 1 (b) 5 (c) 4 (d) -2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = 0, 2*v = -5*s + 42 - 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3456)\/(-351) + 2\/13)*1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-3)\/(-12) + (-10)\/8). Suppose 3*k + o = 9*k. Let z(j) = j**2 - 6*j + 10. Calculate the lowest common multiple of z(7) and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52885)\/(-27198))\/((-10)\/(-24))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 197, 165, 159, 179, 225, 297?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112.99 - 113.08. Let n = -4545.09 + 4521. Let u = n - q. Is u > 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 252844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57.941 - -0.059. Let q = t + -58.5. What is the closest to -1\/3 in 0.2, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67917364 is divided by 848967?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35587?\nAnswer: 19, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -21. Let l(g) = g**2 + 18*g - 27. Let k be l(f). Calculate the greatest common divisor of k and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184960.4 times -38\nAnswer: 7028495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4472674895 to four dps.\nAnswer: -0.4473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -651*q*r**4 + 45*q*r**2 - 63*q*r + 2436*q - 849*r**3 - 468*r wrt r?\nAnswer: -7812*q*r**2 + 90*q - 5094*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10620.76762 - 87072\nAnswer: -76451.23238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c - 5*j + 162665 = 0, -32569 = -c + 5*j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, y: 7}. What is prob of sequence ayya?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 3. Let j be z(3). Let x(n) = -n**2 + 5*n - 4. Let a be x(4). Let w be a\/((1\/1)\/1). Solve -j = 3*y - w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*f - b + 2*b, 5*f - 10 = -2*b. Let h(z) = -z**2 + 4*z - 1. Calculate h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 13728135?\nAnswer: 54912540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 849 - 791. Let k = -45 + v. Solve 4*b - 4*x = -x - 13, 3*b = -x - k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17162015.4 milliseconds to days.\nAnswer: 0.1986344375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 3*b - 8*b)*((-b + 4*b - 2*b)*(-20*b**3 - 19*b**3 - 4*b**3) + (-2*b**3 - b**3 + 2*b**3)*(3*b - 3*b - 5*b)).\nAnswer: 190*b**5 - 38*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4575 (base 11) in base 3?\nAnswer: 22020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14\/4 + -3)\/(38\/1790560)?\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -10834\nAnswer: -2166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + n = -4*n - 37, 5*i + n - 39 = 0. Solve 0 = -4*j - 4 - i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 430?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2066617505 rounded to 3 dps?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 959, 3808, 8557, 15206, 23755, 34204?\n\"Answer: 950*j**2 - j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/((-30)\/(-9))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19033256 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 5*t + 4. What is the hundreds digit of f(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 981 - 5*w - 981 - 13*w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**7\/10080 - j**5\/480 - 5*j**4\/12 + j. Let y(a) be the third derivative of w(a). Suppose y(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h - 6. Let c be 40\/18 + 2\/(-9). Let o(l) = 140 - 440 + 6*l - l**2 + 143 + 138. Let n(f) = c*o(f) - 7*t(f). Suppose n(k) = 0. What is k?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1318 = -5*l - 223, 882 = -4*u - 2*l. Let f be (924\/u)\/(1\/5). Let m = -47 + 25. Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107663134?\nAnswer: 2, 53831567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + -2 + 8 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1085641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 23*f + 5*l = 0, 2*f - l = 5*f. Solve 2*p = 3*b + 5 - 18, f = 5*p - 5*b + 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - y = -2*y + 430, n + y = 82. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c2 + -4?\nAnswer: -2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15980 and 0.3?\nAnswer: 4794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (1 - 1 - (9 - -7)). What is the second derivative of 0*g**3 - 3627*g - 237*g**2 + 3638*g - 2*g**3 + v wrt g?\nAnswer: -12*g - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddydydzzzqqyezhddzdh. Give prob of sequence qe.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/25)\/2*540\/72?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - 92\/84. Let f = 0.05 - 0.08. Let w = -2.03 - f. Which is the nearest to 0? (a) -2\/13 (b) w (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 3*g - 2. Let x be z(-3). Suppose d - 6 = 1. Suppose d = 3*r - 2. Which is the second biggest value? (a) x (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 927446 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000036103038 to 7 decimal places.\nAnswer: -0.0000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8*1)\/((-5)\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f + 5*i = 49, i = -4*f + 53. Suppose 0 = n + 5*q + f, n + 2*q = -4 + 1. Suppose -w + n*w = 0. Which is smaller: w or 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 0*l**3 + l**2 - l**3 + 2*l**3. Let o be n(1). Suppose -12 - 19 = -5*m + a, 4*m - o*a - 26 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/12 + 11*z**3\/6 + z**2\/2 + 42*z. Suppose 2*x + 5*h = 41, 0*x + 3*h - 31 = -2*x. What are the prime factors of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 13 = -j, l + 31001 - 30997 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-135))\/((-40)\/144)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -17. Suppose -5*s + 24 = 3*s. Suppose -s*j = 265 - 223. Which is bigger: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27967082 and -27967083 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**3 - 143*s + 5. Let l(o) = 14*o**3 - 214*o + 8. Determine -5*l(a) + 8*w(a).\nAnswer: 2*a**3 - 74*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m + 5. Let w(r) = 14*r**3 + r + 1. Determine w(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 334203351 (base 6) to base 10.\nAnswer: 6081619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 13*a**2 + a - 4. Let p be c(1). Suppose 9*u - 4*u - 45 = 0. Calculate the highest common factor of p and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7 - 182\/(-21))\/(-5))\/(2\/(-108)). Calculate the greatest common factor of 813 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 + 34*p**4 + 1519*p**3 - 54976*p**2 + 105264*p - 51840 = 0. What is p?\nAnswer: -40, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 105619163 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 3. Let p(t) = -7*t**2 + 1. Let k be p(1). Let l be u(k). What is the greatest common divisor of l and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 667050374?\nAnswer: -667050371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107.6 + 111.6. Which is the smallest value? (a) z (b) -1 (c) -123 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:16 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-7 - 13 - -8) + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - m**2 + m + 2. Let f be k(0). Let h be (f + 18)\/(-6 - -8). Calculate the highest common divisor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49682874 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 5*w - 1. Let v(z) = 3*z**2 - 11*z - 3. Let x(c) = -5*t(c) + 3*v(c). Let n be (-20)\/8*(-1 + 3). Calculate x(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134, -566, -1264, -1960?\n\"Answer: b**2 - 703*b + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*a - 8. Let w(p) be the first derivative of p**3\/3 + 3*p**2\/2 - p - 3. Calculate the remainder when a is divided by w(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4390 is divided by (-96)\/(-22)*(-1276)\/(-232).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 - p - 13. Let i be n(6). Let s = 89 - i. Solve s - 4\/17*y + 2\/17*y**2 = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and 0.3?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 611.3797 tonnes?\nAnswer: 611379700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 + (-10)\/45. Suppose 0 = -p*j + 4*j - 3*k + 4, j - 3*k = -10. Let i be (j + 8)*2\/(-4). Let h(l) = l - 2. Give h(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/6 + 0 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(1*sqrt(297)*-1*-5)\/(1*sqrt(44)\/sqrt(4) + sqrt(11) - (sqrt(11) + (-1*sqrt(77))\/sqrt(7))))**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 32*n**4\/3 + n**3\/2 - 3*n**2\/2 - n. Let q(h) = -h**2 + 17*h - 71. Let w be q(8). What are the prime factors of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 33027 = -1834*j, -14*w + 2*j = -17*w - 0*j - 21 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/5))**(-2\/31)\/(q\/(q**(-1\/21)*q)*q**(5\/7)*q) assuming q is positive.\nAnswer: q**(-5987\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*r**3 + 13723*r**3 + 702*r**3 + 1682*r**3 + 1256*r**3.\nAnswer: 17767*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -69.364164 and -8?\nAnswer: 61.364164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 3. Let y be p(0). Let f(j) = 2*j**3 - 2*j**2 + 3*j + 4. Calculate the remainder when f(y) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676\/38 + ((-2)\/(-3))\/((-52)\/1404)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 - 12)*(-2*w - w + 4*w) + (1 + 1 - 3)*(-131*w - 94*w + 150*w) to g + n*w and give n.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190349789*q**3 - 153*q**2 - 29190*q - 6 wrt q.\nAnswer: -1142098734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 41 + j**4 - 41 + 8*j**3 to s + k*j + y*j**2 + r*j**3 + u*j**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 87731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, 4, -2, -10, -20?\n\"Answer: -z**2 - z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/354*4*1434\/(-3824).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120481, 120479, 120493, 120529, 120593?\nAnswer: 120691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:31 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/3 + 28*k**2\/3 - 28*k\/3 - 20.\nAnswer: -4*(k - 5)*(k - 3)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 - -2 - (13 + (21 - 22)) - 122?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271794.4m to nanometers.\nAnswer: 271794400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 69*g + 58. Let v be m(-34). Which is the nearest to 0? (a) 2\/7 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 3. Let k(y) = 2*y + 4. Let u(t) = 3*d(t) + 2*k(t). Suppose 0*i = -2*i + 4. Let j(w) = -3*w - i*w + 7*w + 1. What is 5*j(z) + 4*u(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -30. Suppose -z = -2*z + n, -5*v = -5*z - 1640. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 g when three letters picked without replacement from {g: 4, e: 3, p: 5}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-864)\/432)\/((-18)\/84*(-42)\/36)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*d + 533*d**2 + 530*d**2 + 57*d - 1057*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from affaff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/(3\/(-9)). Let z = 11 - d. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2 (c) -6\/385\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3532*z**3 + 4*z**2 - 2 + 22*z**2 - 3528*z**3 to the form q*z + a + b*z**3 + l*z**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 4*h**2 - 2*h - 2. Let l be c(3). Which is bigger: l or 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -35, 0, 10, -1, 162 in decreasing order.\nAnswer: 162, 10, 3, 2, 0, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34626 and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 = 17 - 18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 13 (b) -1 (c) 1 (d) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 5*h + 1. Let o be -1*8\/12*6. Let f be w(o). What is the remainder when 1610\/(-28)*(-4)\/f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3 + 4 - 3)*(k + 6*k + 0*k).\nAnswer: 14*k**2 - 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**3 - 25*s**3 - 19*s**3 + 52*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -327, -490, -653?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 11 - 11.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 - 1788*l**3 + 60680*l**2 = 0. What is l?\nAnswer: 0, 37, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 4. Let f = 1 + m. Suppose -4*l + f*u = u - 12, 0 = 2*l - 4*u. Which is the third biggest value? (a) 2\/3 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r - r**2 - 5 - 55*r + 16*r + 21*r. Let k be m(-4). What is the first derivative of 98*f**k + 0*f**2 + 4 + 0*f**2 - 77*f**3 wrt f?\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + 1 - ((9 - 92) + -41)) + -3\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5110 - 5110 + 179*w to b + t*w and give t.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(52)*4)\/sqrt(4).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2050 and -33.441?\nAnswer: 68554.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 0.1, 21.7, 0.2 in ascending order.\nAnswer: 0.1, 0.2, 4\/9, 21.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -z + 2*z - 30, -4*z - 2*y + 134 = 0. Suppose -2*p + 1 + z = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - -5) + 2\/(-2). What is the highest common factor of 39 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 6*x + 4. Let y(q) = -13*q**2 - 25*q - 15. Let p(o) = 9*k(o) + 2*y(o). Suppose -s = 3*w + 10, 0*w + w - s = -6. Calculate p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 14*n + 1262. Calculate f(-34).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o. Give g(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + -1 - -2. Suppose y*z + g = 89, 0*z - 2*z + 56 = 4*g. What is the units digit of -2 + (-1)\/((-3)\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.111 + 0.161. Let l = 0.05 - v. What is the nearest to 7 in l, 2\/23, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 183?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t - j, 5*t - 6 = 4*j + 18. Suppose -w - 2384 = -3*i - 2*i, t*i - 1900 = -w. What are the prime factors of i?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i**3 + 12*i**3 + 54*i**3.\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 + 74 = -5*o + 2*s, -3*s = -5*o + 314. Let k = o + -39. What is the remainder when k is divided by ((-30)\/(-20))\/((-6)\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3942.881 decades?\nAnswer: 473145.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5219?\nAnswer: 17, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 28*w - 16*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381\/(-4697)*(-2)\/99?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10078511\/2034186 + -2\/92463. Calculate the common denominator of h and (((-100)\/72)\/(-25))\/((-2)\/(-906)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3627181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3 = 5*f, 0 = -k - 4*f + 29. Which is smaller: k or 42?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 184?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.3, 1\/2, 0.4, -4\/7?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 20, -5*g + 3996 = 9*b - 5*b. List the prime factors of g.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 59 = -311 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.096 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 21*m**2 - 9*m - 17. Let g be t(-20). Suppose 15 = -3*q, 0 = 4*p + 3*q - g - 542. Suppose -156 - p = -d. Round d to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 9*j. Which is bigger: j or -2\/45?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -117*t**2 - 824*t + 4. What is the remainder when m(-6) is divided by 360?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6174070?\nAnswer: 2, 5, 7, 193, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3 - o**3 + 7*o**2 + 2*o**3 + 649*o - 643*o. Give t(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240\/(-1320) - (-13620)\/11.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292779 minus 0.1?\nAnswer: 1292778.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10*((-20)\/(-10))\/(-2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 221134?\nAnswer: -221144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three halves of a decade?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*d + 143. Let s be 15314\/(-3720) + (-12)\/90 - ((-6)\/(-8))\/(-3). Put s, d, 5 in descending order.\nAnswer: d, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 - (-7)\/28*14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16169 is divided by 539.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let m(x) = 3*x**2. Let r(w) = 4*w**2 - w. Let y(g) = m(g) - r(g). Let z be y(o). Solve 2*v = -z*i - i - 3, 3*i - 3*v = 27 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/3912 and -27\/29992.\nAnswer: 89976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -74*l**2\/7 - 1334672*l\/7 - 144288\/7 = 0.\nAnswer: -18036, -4\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 0.3 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.7 + -7. Let y = 1.3000048 + m. Round y to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*(sqrt(405) + sqrt(405) + sqrt(405) + 3 + sqrt(405) + 3 - sqrt(405)))**2.\nAnswer: 2592*sqrt(5) + 33061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b + 391 = 71 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 18. Let d(z) = 6*z + 54. Determine 3*d(f) - 10*o(f).\nAnswer: 38*f - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -22, 117, 436, 995, 1854, 3073?\nAnswer: 4712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 - 126*k + 651. Determine s(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102000 + -2112?\nAnswer: 22111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -h - 18, -2*h = -n - n + 6 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 2*b**3 + 7*b**2 + 20*b + 12.\nAnswer: -(b - 3)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (210\/9)\/((-2)\/(-21)). Let d be 4\/(20\/o) - 5. What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 3 + 4 + 4. Let a be (-10)\/40 - (-45602)\/d. Round a to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 7*f - 2*f - 10*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -416371 (base 8) to base 6\nAnswer: -2545053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -81517 in decreasing order.\nAnswer: 2, -5, -81517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 3, u: 3, k: 2, j: 2, x: 1}. What is prob of picking 1 x and 1 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 plus -4699?\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-6))\/(268\/201) + 120\/(-50).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3\/3 + 15*i**2\/2 + 5*i - 6. What are the prime factors of d(14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = n + 4*r, r = 2*n - n + 365. Let f = -342 - n. Calculate the remainder when 65 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.8 at most -757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 116*l + 77. Is b(-76) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 457986?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 180779?\nAnswer: -542337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7202515429 to the nearest integer?\nAnswer: 84868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2 - 379*c**2 + 387*c**2 in the form w*c**2 + d*c + b and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o - 10. Give w(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2124 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 5*g**2\/2 - 9*g + 3. Let t be j(4). Let h = 52 + 25. Calculate the greatest common factor of h and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*g + 17, 5*g - g - 2 = 2*q. Let k = q - -8. Let u be (121\/22)\/(2\/(-20)*k). Calculate the greatest common divisor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 7*q - 5. Determine f(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13)\/d*d)**(-2) assuming d is positive.\nAnswer: d**(4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*s + 16, 5*c + 3*s = 3 + 2. Calculate the common denominator of c\/8 - 266\/12 and 2595\/(-90) + (-2)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0 - 2*n**2 - n + 2\/3*n**3. Suppose -6*p = 21*p - p + 104. Determine z(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 6*v**2 - 3*v + 7. Let x be u(-7). Let p = x + -229\/3. What is the smallest value in 0.5, 1, p, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -320*-72\nAnswer: 23040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 9*j**2 - 4*j - 9. What are the prime factors of v(8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -10. Suppose -8*q + 21 - 37 = 0. Put -1, c, q in decreasing order.\nAnswer: -1, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = b - 2, -5*g + 0*b = 3*b - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 2)*-3.\nAnswer: -24*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171365544 divided by 74088.\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445 is divided by 1216?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r + 171. Let f be 76\/(-16)*((1 - -1) + -6). What is the greatest common factor of f and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 5:32 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - l - 28. Let y be f(7). Suppose 0 = y*v - 12*v - 200. What is the remainder when v is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2489*f + 19223 = -15623 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31674107 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -28*o**3 + 5*o**2 - 10*o. Let h(i) = -15*i**3 + 2*i**2 - 5*i. Determine 5*h(l) - 2*n(l).\nAnswer: -19*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107\/4? (a) -6\/11 (b) -3\/7 (c) 6\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5))**(1\/6))**17 assuming d is positive.\nAnswer: d**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81240 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Let j = 60 + -58. Let n be j\/(-7) + 4968\/189. Solve -n = 4*g - q*u, 0 = -3*g - 4*u + 5 + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*u - 52 = 0, -1408*y + 1406*y + 3*u + 40 = 0 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3482513 - 3482542.00073. Let g = 29 + j. What is g rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 766 (base 10) to base 6\nAnswer: 3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 870515 and 0.5.\nAnswer: 870515.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:24 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 17*s**2 + 9*s + 18. Let z(i) = -3*i**3 - 25*i**2 - 13*i - 27. Let g(c) = -7*o(c) - 5*z(c). Determine g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*d - 2*b + 5*b, -3*d - b = -8. Let l be d\/11 + (-124)\/(-44). Let u(g) = -2 + 2*g**2 + l - 1. Let x(r) = -2*r**2. Give x(u(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 5*r - 36, 4*r = t + 50. Let j = 349 + -176. Let h = j + r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -88. What is the nearest to f in 0.4, -2\/3, -2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*x - 55, 2054*r = 2061*r - 3*x - 77 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:19 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 566*q**3 + 9576*q**2 - 786*q - 43. Give r(-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1775 is divided by 198.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 3*a - 3*a)*(-2*a**3 + 3*a**3 - 2*a**3) as i*a**3 + y*a**2 + p + s*a + h*a**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**7\/210 - 77*d**6\/60 - 65*d**4\/12 - 1148*d**2. What is the second derivative of u(w) wrt w?\nAnswer: -12*w**2 - 924*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -20. Let y be -5 + (-9)\/(-6)*48. Let f = -30 + y. Calculate the remainder when f is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-473 + 452 - (-1 + -24)) + 4 + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 8. Let b be a(-2). Let o(d) = 2*d - 10. Let v be o(b). Suppose -94 = -4*y + v*y. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**9)\/r**(3\/5)*(r*r*r*r\/(r\/(r**(-8)*r))*r*r*r*r)\/(r*r\/r**(-7)*r))**30)**4 assuming r is positive.\nAnswer: r**(-2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.8 - 86. Which is the closest to 0? (a) x (b) -1\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - 52\/(-12)) + -2 and -44\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 485 - 483. Solve 0*k = w + 2*k - 9, -g*k = -10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8723, 4, 0.2, -0.4, -2, -1 in decreasing order.\nAnswer: 4, 0.2, -0.4, -1, -2, -8723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(130)*-3*-3 + sqrt(130) + (sqrt(130) - 2*-4*sqrt(130)))\/((sqrt(10)*2 + sqrt(10))*-3*5*-4))**2.\nAnswer: 19*sqrt(13)\/45 + 134293\/32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8c5eb (base 15) to base 3.\nAnswer: 121120002021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22563 and 552897.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232, -467, -702, -937, -1172?\n\"Answer: -235*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of b**6\/120 - b**5\/20 + b**4\/12 - 2*b**3\/3 + b**2. Let h be f(3). Let c(l) = -1 - l + 2*l - h*l. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1, 1\/3, -638, -1\/2 in descending order.\nAnswer: 1\/3, -1\/4, -1\/2, -1, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 5*l + 4. Let q be (4\/2)\/(l\/17). What is the highest common factor of 85 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.1, 3, -2\/11, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 9*u - 16. Let b(j) = -2*j + 17. Let s be b(4). Let q be l(s). Find the second derivative of 153*f + 2*f**4 - q*f - 3*f**4 - 71*f wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 2684*o**2 - 1866189*o - 86724450.\nAnswer: -(o + 50)*(o + 1317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -469387289.6936 and 0.2.\nAnswer: -469387289.4936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240974347.\nAnswer: 227, 1061561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -51, -95, -157, -243?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 215, 368, 553, 770, 1019, 1300?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20881736 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. Let o be (m\/(-5))\/((-8)\/5). What is the third smallest value in 2\/3, 0.2, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1209834142 divided by -75643.\nAnswer: -15994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*j + 0*j - 8*j)*(-34*j + 37 - 83 + 40).\nAnswer: -952*j**2 - 168*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/100 - 2\/(-4). Suppose -29*c = -33*c. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1766 = -3259. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000045967369 rounded to seven decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -27*h**2. Let y = -224 + 231. Suppose -y*r + 45*r = 152. Let v(b) = 13*b**2. What is r*l(s) + 9*v(s)?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 453 - 450. Put 4, 1, v, -2 in descending order.\nAnswer: 4, v, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1626?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - 4*n - 3. Let v be (0\/(-6) - 4) + 3. Let a be b(v). Solve -5 + a = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10420\/49 <= -212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3680 divided by -7\nAnswer: -3680\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3 + 0*b + 2*b**3 - 2*b + 2*b**2 + 0*b**3. Determine s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -201.\nAnswer: -5\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - g = 301, g + 1810 - 1887 = -3*u for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 20*h + 1411. What is the remainder when c(0) is divided by 129?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -63. Is ((-1263)\/9 + 5)\/((-4)\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Suppose 3*o = -8*k + x*k - 75, 0 = 5*k - 2*o + 50. Is 13 a factor of -1*208\/k*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 59962728*y - 224720546825124.\nAnswer: -4*(y + 7495341)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/(-602)*196\/6 - 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1592, -6435, -14526, -25871, -40476, -58347, -79490?\n\"Answer: -v**3 - 1618*v**2 + 18*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4645 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -89 + 2\/27*o**3 - 2\/3*o**2 + 2*o. Factor h(q).\nAnswer: 2*(q - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3186 + 0.2186. Let t = -12.8 - -13. Which is the nearest to t? (a) 2\/7 (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 3*u + 2*u. Let n(i) = 2*i**2. What is n(t(r))?\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6808476317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 10. Let q(d) = 7*d**3 + d**2. Let l be q(1). Suppose c + 2*o - 7*o + 8 = 0, 4*o = -4*c - l. What is the smallest value in n, 4, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/5 + 8542*c**4 + 641046*c**3\/5 + 1153954*c**2\/5 + 111124*c = 0 for c.\nAnswer: -13, -1, 0, 21370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -369 + -31?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l + 27. Suppose l = 4*w - 7. Sort 1, 9, w in decreasing order.\nAnswer: 9, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -271240.40166 and -84?\nAnswer: 271156.40166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2173 = -4*b + 3*u, 4*b = -4*u + 2188. Calculate the greatest common factor of 204 and b.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28493 + 28511. Solve 3*x - 11*k = -12*k + f, 3*x = -3*k + 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*j - 115*j - 798 = 0. Calculate the highest common divisor of j and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/5383?\nAnswer: -2\/5383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3\/101, -0.4, 4, 3 in decreasing order.\nAnswer: 18, 4, 3, 3\/101, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4878833 equal to -4878833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -277\/6 + 1381\/30. Which is the closest to -405? (a) -0.2 (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67236 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b + 0*b)*(-2 + 0 - 5)*(-7 + 3 - 4) + 4*b + 5*b - 4*b.\nAnswer: -51*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by -5\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Differentiate 2*k - 4*k - 18*k**2 + s*k - 18 with respect to k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 - 1127*d - 88. What are the prime factors of n(90)?\nAnswer: 2, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 14 = -0*a + 2*a, 0 = 5*y + 3*a + 105. Let b(q) = 7*q**2 - 23*q + 119. Is b(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 2268?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326442, 1305818, 2938118, 5223342, 8161490, 11752562, 15996558?\nAnswer: 20893478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18051\/20 + 903. Let r = -1493\/6 + 451\/2. What is the common denominator of r and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/24 and ((3892\/12)\/7)\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 3*a**2 - 45*a**3 - 131*a**3.\nAnswer: -176*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 8011*z + 24 - 15.\nAnswer: 8011*z + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 189 = -12*g. What is the remainder when g is divided by 2\/8 + 126\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o - 3*o - 12. Is -1 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 77, 110, 147, 188, 233, 282?\n\"Answer: 2*k**2 + 27*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**16)\/(t*(t*t**(-11))\/t))**(-8\/17) assuming t is positive.\nAnswer: t**(40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 526 + -563. Let i = s - -289. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5043123, -10086248, -15129373, -20172498, -25215623?\nAnswer: -30258748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 221020011 (base 3) to base 10\nAnswer: 18391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1139787 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 148724\/22 + -4 + (-126)\/(-33). Round n to the nearest one hundred.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34766 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59599 equal to 59518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 14) + (-35 - -10) + 30?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -10. Let z(d) = t + 57*d - 57*d + 0*d**2 - d**2. Let r(k) = 3*k**2 - 4. Let u(a) = 2*r(a) + 7*z(a). Give u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/9, -4, 8844, 0.79?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let k(w) be the first derivative of 1 + 2 + w**2 + 0*w + 0*w. Give k(u(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = 79*g - 185 - 1150 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13369988 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: What is 3222913063 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37\/4 (b) -43 (c) -0.4 (d) 0.5 (e) 5 (f) 2\/23 (g) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.33 + -5.7. Let i = h - -0.27. Sort -0.6, i, 0.2 in ascending order.\nAnswer: -0.6, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6*3\/12)\/(27\/6). What is the closest to -1\/4 in 1.09, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1032 rounded to 3 dps?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1357 = 5*z - 4*q, -3*z - 795 = 7*q - 3*q. Let f = -86 - z. Suppose 0 = -5*t + 5*u + 470, -t + 3*t - f = u. Is t a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 23*z**2 - 21*z - 24. Let b be u(22). Calculate the remainder when 33 is divided by 32\/128*16\/b + 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1428*p**2 - 141*p - 276. Calculate r(-2).\nAnswer: -5706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -32, 2, 4 in decreasing order.\nAnswer: 4, 2, -32, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 99 - 66 = 0. Let r = 21 + p. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20142 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(3\/1) - 18. Let x be g*(-1)\/2 - 3. Suppose -2*s + x*s = 55000. Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -519 - -220. Let o = a + 298.869. What is o rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 7dca?\nAnswer: -7dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -45620?\nAnswer: 45631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 11:14 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 7*f + c - 16, 14*f - 13*f - c - 23 = -30 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*v - 22. Let k = 2 - 17. Let r = v - k. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 3\/8 (c) -5 (d) -159\/112 (e) -1\/2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 1128 = -30*k + 13*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 732.\nAnswer: 49776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4439.\nAnswer: 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17014663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*w = 114608, 22*q - 27*q + 143254 = 4*w. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**4 + r**4 - 3*r**4)*(-22 + 476 - 267).\nAnswer: 561*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*h - 16, -4*z - 5*h - 11 = -52. What is the units digit of 7\/z*20*(3 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**3\/3 + 8*t**2 - 13*t - 13. Is 4 a factor of g(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28502 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10.95. Let g = 0.15 + d. Let h = -1.4 + g. What is h rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*g + 2*n, 9 = 3*g + 4*n - 25 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -7. Let g be 4\/10 + 333\/r. Let u(v) = v**3 + 9*v**2 + 9*v - 7. What is the tens digit of u(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 33*y**2. Let a(m) be the first derivative of 0*m + 0*m**2 - 1\/3*m**3 + 13. Give i(a(c)).\nAnswer: 33*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 6 + 0*r**4 + 0*r**5 + 0*r**6 + 0*r + 8\/7*r**7 + 2*r**3 + 0*r**2. What is the third derivative of t(x) wrt x?\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-20))\/((-36)\/(-2250)*-25). Let s(f) be the third derivative of -1\/2*f**3 + 0 - 33*f**2 - 1\/20*f**5 + p*f**4 + 0*f. Factor s(o).\nAnswer: -3*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13109737?\nAnswer: 17, 103, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23825*j**2 + j + 1. Let c be g(-2). Suppose 2*p - 70701 - c = 0. Round p to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqybidk. Give prob of picking 1 b, 1 d, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.619 - -14.61942826. Round n to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 = -0*f. Let v be 3 + f - 3 - -6. Solve v = 3*b + 16 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 601*u - 41. What is the thousands digit of f(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ktikkkktkkiko.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6245 + -6243. Solve 2*n - 2 = 0, 3*n + 11 + d = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**2\/2 + 13*h - 1. Let j be l(10). Put 0, j, 2 in increasing order.\nAnswer: 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15214 times -40\nAnswer: -608560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*y + 14 + 11 - 25 to the form d*y + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 10:53 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 + 1)*(-27)\/12. Let s = 719 - 639. Suppose -z*t = -4*t - s. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*(a**2 - 6*a**2 + 3*a**2) - 1084 + 6290*a**3 + 355 + 371 + 358.\nAnswer: 6288*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 - 118 - 81)*(m**2 - 2*m**2 + 3*m**2) - 10*m**2 + 24 - 24.\nAnswer: -578*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-239466\nAnswer: -47893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-5)\/100)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 - 2*n**4 + 8*n**4)*(-5 - 14 - 28).\nAnswer: -188*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -36*m - 172. Let b be x(-27). What is the greatest common factor of 100 and b?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 351945*z**4 - 20956787 wrt z?\nAnswer: 1407780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 3, q: 4, f: 1}. Give prob of picking 2 e and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 273, 297, 341, 411, 513?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*k**2 + 22*c**2 - 50*k**2 - 2*k wrt c?\nAnswer: 4*c*k**2 + 44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/24*(-10)\/65. Let i = -1457\/78 - a. Calculate the common denominator of i and -61\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1678605792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*x - 0*h - 48 + 5, -7*x = -6*h - 8 + 58 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, -5, -242, -2\/7, -16\/11, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 + -121. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 1. Let h = -16657.87 - -16658. Sort h, 0.4, c in increasing order.\nAnswer: h, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*o - 208 + 199, 3*o - 9 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/16*6216\/(-666)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668367481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 19 = 66*y - 63*y, 6 = -4*y - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0 + 3)*(5 - 4 + 1)*(283*z + 152*z - 126*z).\nAnswer: 618*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 700 and 6034?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -355 - -347. Sort -4, p, -5 in descending order.\nAnswer: -4, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 243*o**5\/20 + o**3\/6 - 29*o**2\/2 + 283*o. What is the derivative of l(n) wrt n?\nAnswer: 729*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 29*z - 6. Let b be s(9). Let v be (3 - b)\/4 + -3. Let q = v - -237. Is q a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -755 by 755.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*j + 23 = 71, -82 = 4*q - 3*j. Find the common denominator of q\/(-4)*2\/(-8) and 2 + 0 + 19\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + i + 2)*(-124*i + 144*i + 321*i) in the form l*i**2 + x + g*i and give l.\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 2617?\nAnswer: -2613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225708 and 1399927?\nAnswer: 117593868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 40*r**2 + 132*r - 1072. Let g be f(10). What is the highest common divisor of g and 3363?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/15*(-17)\/(-102)*(-240)\/32?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/97 in 0.2, -2\/11, 16, 165, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/14 - -17\/70. Let o = -0.96 + 0.96. Let l = 86\/3 + -29. Which is the closest to 2\/3? (a) p (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4 - -8)*(4 - -1). Let h(m) = 13*m**2 - 13*m + 19. Let c(o) = -24*o**2 + 25*o - 35. Let n(z) = 6*c(z) + 11*h(z). Determine n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x + 25. Let m be (-5)\/2*1048\/1310. Sort m, x, -4, 5.\nAnswer: x, -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 62 = x - 49, 0 = -2*z - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + ((0 + sqrt(272))*-4 - sqrt(272) - sqrt(272)))**2 + sqrt(272) - (-5 + 3 + sqrt(272))**2.\nAnswer: 20*sqrt(17) + 6524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029513367 to the power of 1\/3, to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 27*s. Let p(h) = -3*h. Let x(y) = -y. Let f(n) = -p(n) + 5*x(n). Determine r(f(l)).\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 (base 13) in base 2?\nAnswer: -11011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1505*r + 18721. Give h(12).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(225\/(-300)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126598 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 90e9116?\nAnswer: 90e9117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/17? (a) -0.14 (b) 1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16685899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10115 - -18354847314?\nAnswer: 18354837199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(7) + -2) - (sqrt(4032) - sqrt(63))\/sqrt(9)) + (1*sqrt(77)*2)\/(sqrt(891)*-1).\nAnswer: -92*sqrt(7)\/9 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64351 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 2*i**2 - 4*i - 4. Calculate v(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 216337 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*2)\/sqrt(2))\/(sqrt(900)*-1) + 2 - ((sqrt(567)*2 - sqrt(567))**2 + (sqrt(7) - 3*(sqrt(7) + 3)) + -3).\nAnswer: -553 + 9*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 148700 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from 12.39.\nAnswer: 12.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -344 in decreasing order.\nAnswer: -3, -5, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -22 (b) 3 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 10:04 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6777)\/(-55) + 10\/55. Let v = o + -123. Suppose 6\/5*q + 4\/5 + v*q**2 = 0. Calculate q.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(342) - (sqrt(342) - sqrt(342)*1)))\/(sqrt(16)\/(sqrt(8)*2)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*24546\/4091?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68690 is divided by 7631.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*a + 573 - 589 = 0, 0 = -4*a + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = c - 89 - 6, -2*j + 50 = -2*c. Solve 0 = -12*v + 8*v - j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 - 5*y**2 - 3*y - 3. Suppose 5*x + 11 - 1 = 0. Let a be (3 - (-36)\/(-16))\/(x\/8). What is s(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 25 = -2*t, t + 0*t - m = 20. Solve t*p + 75 = 15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21715148 divided by 169.\nAnswer: -128492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 - 49. Let t = 286 + n. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -217388*x**2\/13 + 652530*x\/13 - 1098\/13.\nAnswer: -2*(x - 3)*(108694*x - 183)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k - 39 - 12 = 111*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*a + 152, n + 76 = a + 5*n. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + k + 3. Let n(o) = o**2 + 1. Let b(t) = 7*n(t) - 3*q(t). What is the units digit of b(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*t + 135*t - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 55 = -p, 5*n + 23 = 4*n + 2*p. Let d = n + 23. Suppose -f - 24 = -d*r, 13 + 11 = 4*r + 3*f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671*n - 3989*n - 2844*n - 71686 = 238034 for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94 or -93?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 167231818 + -2?\nAnswer: 167231816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 2, k: 1}. What is prob of picking 1 p and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -124246 + 8338?\nAnswer: -114807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkkbkkkkkk. Give prob of sequence kk.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 8815848?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 2*n**2 + 3*n**2 + (n + 3 - 3)*(2*n - n - 2*n) + 3*n**2 - 10*n**2 + 0*n**2 - 4*n**2 - 15*n**2 + 0*n**2.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 z, and 1 y when three letters picked without replacement from {y: 1, p: 8, z: 1, h: 2, t: 8}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1378.5 - -1379. Let u = 1769\/3223 + -1\/293. Sort u, b, 0.\nAnswer: 0, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/24 + 2*t**3\/3 - 5*t**2. What is the remainder when 45 is divided by d(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*x + 8, -2*x - 23 = 3*o - 0. Let p be (-3)\/(-2)*(816\/(-18))\/x. What is the greatest common factor of p and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -148, -515, -1226, -2395, -4136, -6563?\n\"Answer: -19*g**3 - g**2 - g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -168*w - 199. Let i(n) = -n**3 + 5*n**2 - 11*n + 24. Let o be i(4). Does 31 divide x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-8)*d)\/d*d**5)**(-7\/5)*((d*d**(3\/5))**(14\/5))**16 assuming d is positive.\nAnswer: d**(1862\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20.4 (b) -0.1 (c) 5 (d) -0.5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g + 76 = 0. Let x = g + -15. Solve -15 = -5*t - 5*q, 8 = -2*t + x*q - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 16 - 2)*(2*p - 2*p - 2*p + (-3 + 2 + 2)*(0*p + 2*p - 3*p) + 10 + 3 - 15 + 40*p).\nAnswer: 518*p - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.38128546 rounded to 1 dp?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 15*b**2 + 58*b + 85. Let r be v(-10). Let t(y) = -37 + 17*y - 2*y + 6. Is t(r) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 + 4.66. Let q = 4 - t. Let r = -0.1 - q. Which is the smallest value? (a) 4 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -253, -677, -1443, -2659?\nAnswer: -4433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3314410 (base 5) to base 9\nAnswer: -86756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2. Let x(r) = 7*r + 2. Let p(z) = 1. Let b = 7 - 6. Let j(w) = b*x(w) - 2*p(w). What is j(d(c))?\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/15262 or 15.77?\nAnswer: 15.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3115*v**2 + 140143*v - 1450. Give g(-45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 15 = 0, 2*z - 8 + 0 = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brqzbqduu. Give prob of sequence uq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:41 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from qmbkbpukp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -37*p + 74. Let r be j(-5). Suppose 2*u - 16 = 5*f + 9, -2*u + 3*f + 31 = 0. Let n = u - -17. What is the greatest common divisor of n and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10222220120120 (base 3) to base 6.\nAnswer: 113305153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:24 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5267165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1443, 1426, 1377, 1278, 1111, 858, 501, 22?\n\"Answer: -3*n**3 + 2*n**2 - 2*n + 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/(65\/(-3370))*2. Suppose -1352*f = -d*f - 36. What is the least common multiple of 63 and f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 603*m**5\/20 - 1057*m**3\/6 + 116*m - 2. What is the second derivative of q(s) wrt s?\nAnswer: 3618*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 272 = 19*d. What is the highest common divisor of d and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 697 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/39 and -139\/30314544.\nAnswer: 30314544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 273430 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 16, -17, -86, -197, -356, -569, -842?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 561 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1773094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4 - 48*v**3 + 172*v**2 - 120*v = 0. Calculate v.\nAnswer: -15, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2646 and 17.9.\nAnswer: 47363.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(4)\/sqrt(2)) + 2*sqrt(847))*-2.\nAnswer: -46*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u - 30. Let h be y(3). Suppose -2*f + 407 = h*v, 3 = -v - 2. What are the prime factors of f?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from vlvllaaalllablaaal?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15 - l - 3*l + 62. Let g be b(25). Let r(y) = y**2 + 12*y - 38. Is r(g) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7863 + 7863.000006957. What is l rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4 + 61 = 3*s, 4*s + 74 = 3*h. Let p = -721 - -730. Let w(k) = -p + h - 15 - 9*k. Let l(d) = -5*d - 3. What is 5*l(j) - 3*w(j)?\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 27*f. Let y(d) = 7*d + 54. Suppose -3*p + 60 - 23 = 5*s, -2*p = 5*s - 18. Calculate the remainder when y(f) is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:56 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3117 is divided by 260.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 a factor of 161419542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -575 - -5261. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-180))\/(10\/(360\/(-27)))*(-15)\/(-6).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 4*m + 2. Let y be b(4). Let j = y - -3. Solve 0 = 3*a + f + 6, j*a + 2*f = -3*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17787 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((-20)\/12)*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 411 - 21. Does 24 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 7. Suppose 6*j = 11*j + 5. Calculate the lowest common multiple of 66*(4 + -5)*j\/2 and k(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 5:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 11. Let x be t(6). Suppose s + 3 = x. Let d = 2 + s. Solve 4*r = -l - 25, -d*r = -2*l - 2*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 0.2, 428?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 4.6. Let y = l + -0.9. Which is the nearest to 0? (a) 4 (b) y (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + w**4 + 0*w**4 + (-5*w**2 - 3*w**2 + 3*w**2)*(-w**2 + 0*w**2 - w**2) + w**4 - 2*w + 2*w - 4*w**4 + w**4 + 2*w**4 + (w - w**4 - w)*(-4 + 3 + 2).\nAnswer: 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 0, -17*h - 82 = 18*h + 47*h - 3*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (3 - 4))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -10307444 and -10307444 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1, 11, 111156\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2\/7 + 43244*a\/7 - 5844192\/7 = 0.\nAnswer: 136, 21486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 11*d**2 + 11*d - 3. Let a = -50 - -38. Let k be x(a). What is the greatest common factor of 27 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23797\/10 - -2383. Find the common denominator of 29\/7 and l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -3*o. Suppose b + o*b + 1041 = 3*i, -3*i = 3*b - 1041. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1274934008 and 36.\nAnswer: 11474406072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118226139?\nAnswer: 3, 39408713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3*(-1)\/3*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12597643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 14 + 12 - 54*j**2.\nAnswer: -54*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282 (base 10) in base 13?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 606*d**2 - 4*d**3 + 0 - 2 - 602*d**2 + (3*d - 3*d - d**2)*(-4*d + 3*d - 4*d) - 2*d**3 - 3*d**3 + 3*d**3.\nAnswer: -d**3 + 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkxmk. Give prob of picking 1 m, 1 x, and 1 k.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -4097?\nAnswer: -4099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1828 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19531 (base 10) to base 8\nAnswer: 46113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1975 is divided by 1961?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - -0.86. Let k = 238 + -237.7. Which is the closest to t? (a) k (b) 5 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3599495 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-121) + 196\/11. Suppose 6*j - q = i + j, -4*j + 12 = -2*i. Solve x = 2*x + i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 4*w + 10, -4 = -z - 5*w - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - r**3 - 4*r**3)*(0 - 1 - 2) + (2*r**2 + 0 + 0)*(-3 + 4 + 1)*(3*r + 5 - 5).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 15*x - 4. Calculate p(14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.5 + -1.5. Let z = 5.5 - m. What is the nearest to -1 in 1, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4441223 - -732804713\/165. Let u = 208\/15 - r. Find the common denominator of 8 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1608, 0.2, 31 in descending order.\nAnswer: 31, 0.2, -0.1608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004596 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -24483316.\nAnswer: 1\/6120829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 70. Calculate the highest common factor of 28 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 5*g**2 - 11*g + 0 + g**2 - 5*g**2 as z + k*g**2 + a*g and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(224)*-6)\/(sqrt(112)\/sqrt(4) + sqrt(7)).\nAnswer: 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, -2 in ascending order.\nAnswer: -19, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 32*c**2 - 107*c + 73. Let x be q(35). Solve 0 = -5*i - l - 7, -i - x*l + 5 = -6*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7209 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110111 + -100?\nAnswer: -1100111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 17458 = 4*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 22*r**2 + 7*r. Suppose 0 = 5*i + 2*u + 8 + 13, 4*i + 3 = 3*u. Is n(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1000001110?\nAnswer: 1000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*48\/54\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*o = 8 + 4, 5*b + 2*o - 20 = 0. What is the third derivative of -23*d**2 - 31*d**2 - d**b + 7*d**5 + 3*d**4 - 10*d**2 wrt d?\nAnswer: 420*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 0*t**2 + 0 + 6*t**3 + 0*t + 49\/6*t**5 - 14*t**4 = 0.\nAnswer: 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 10:07 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*u + 1. Let s(t) = -32*t**2 + t + 1. Let q(y) = -y**2 - y - 1. Let v(r) = -3*q(r) - s(r). Does 9 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*a = 19, -5*l + 3*a - 33 + 49 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*n**3 - 1 + 3 + 2*n - 4 + 3 to the form i*n**3 + j + u*n + x*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/508 and -97\/22434120.\nAnswer: 2849133240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -2. Let f = 12 + -13. Which is the nearest to f? (a) n (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 14166?\nAnswer: 14165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029582342 + 919?\nAnswer: 919.029582342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-23 - -22) - (21 - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 8\/5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 2151.\nAnswer: 17208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c + 4. Let a be y(5). Suppose 20 = 4*p, -3*x + a*p + p + 2 = 0. Suppose 32 = -5*w + x*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/102*27\/(-60).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4.187, -9, 163?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/4 + 8*t**3\/3 + 6*t**2 + 29*t + 1223. Determine h(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*((sqrt(108) + 3)**2 + -3*(sqrt(3) - sqrt(12)\/sqrt(4))).\nAnswer: 36*sqrt(3) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-350)\/49 + 4)\/((-6)\/21). Solve -7*v = x*v - 90 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 423845981 to the nearest integer?\nAnswer: 20588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + t**2 + 418*t**4 - 417*t**4 + 2*t**3 - 2*t**2 to the form j*t**4 + k + h*t + i*t**2 + a*t**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/360)\/(1\/8). Let k(r) be the second derivative of m*r**6 - 11\/30*r**5 - 1\/9*r**3 - 1\/3*r**2 + 1\/2*r**4 + 0 + 2*r. Factor k(n).\nAnswer: 2*(n - 1)**3*(4*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -35*n + 3. Let t(u) = 70*u - 7. Let q(z) = 7*h(z) + 3*t(z). Let x(d) = -4*d**2. Calculate x(q(r)).\nAnswer: -4900*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/14)\/40*(148\/16)\/((-3)\/(-12))?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4214 - 42?\nAnswer: 4122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-56))\/(65\/(-4550)*-20))\/(2\/(-16)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 83*a - 85*a = -167*a + 41, -113 = -2*b + 3*a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6d (base 14) in base 15?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**3 - 2*m + 2*m + 4*m**3 - 6*m**3 + m**3 + (-4*m + m**2 + 4*m)*(-4*m - 2*m + 5*m) - 603*m**3 + 1636*m**3 - 4045*m**3.\nAnswer: -3013*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/270 and 89\/660?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(-4) + 27\/(-36). Suppose 0 = -t + s*t. Let r be (-5 + t)*(-35)\/25. Calculate the highest common divisor of r and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4, 10, -3\/2, -265 in decreasing order.\nAnswer: 10, 5, 1, -3\/2, -4, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27\/2 - -14. Let u = -103 + 107. What is the second smallest value in u, 2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*j**2 - 43*j**3 - 51*j**3 + 93*j**3 to the form s*j + d + f*j**3 + c*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*h - 28, 3*h + 9*l = 11*l + 7. Which is the closest to 5? (a) 1 (b) -7 (c) h (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*n**2 - 6*n**2 + 16 + 2*n**2 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/4 + u**3\/3 + 3*u**2. Let y(a) = -7*a**2 - 1. Let o(w) = 6*n(w) + 13*y(w). What is the derivative of o(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 51.9999748. Round n to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1*(11\/4)\/11*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 4. Let h be u(2). Suppose -h = -35*p + 37*p. Let k(a) = -2*a - 5. Let j(z) be the first derivative of z - 28. Determine p*j(n) - k(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 14*m - 14. Suppose 8*p + 40 = 4*p. What are the prime factors of a(p)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -78*h**3 + 8*h**2 + 2*h + 4. Let b(c) = -76*c**3 + 8*c**2 + 3*c + 6. Let p(g) = 4*b(g) - 6*r(g). What is the third derivative of p(d) wrt d?\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s + 1316. Suppose 5*a - s = 191. Calculate the highest common divisor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 0 + 0. Let h(c) = 3*c - 1. Let l be 12*8\/(-12) - -6. Determine l*o(u) + h(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 83*s**2 + 118*s - 16967. What is w(84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(0 + 0 - h)*(7228*h**2 + 38*h**4 - 7228*h**2).\nAnswer: -76*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*f + 10, 3*c = 4*f - 1 - 1. Let x = c - -6. Solve x = 5*u - 5*p + 5, -11 - 5 = -4*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013571972519 to six decimal places.\nAnswer: 0.013572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10, 14, 8, -14, -58, -130, -236?\n\"Answer: -u**3 + u**2 + 8*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-1) + (-774)\/(-126) + (-38)\/(-28). What is the closest to -1\/3 in w, 925, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3675\/294 + 6\/(-4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 204, 407, 610?\n\"Answer: 203*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -28, 17, 5, -2, 618 in descending order.\nAnswer: 618, 17, 5, -2, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 343\/186 - 32\/93. Sort 47, f, -1, 2\/11.\nAnswer: -1, 2\/11, f, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.13684 and 0.7.\nAnswer: 15.83684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:29 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 7:16 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 t when three letters picked without replacement from zvdtvtzdzzvvvzdvrzdv.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 21080?\nAnswer: 231880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 + 400*s + 754*s + 7*s in the form p*s + n*s**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/33)\/(((-1)\/(50\/15))\/(132\/110))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12)*(-16)\/18. Which is the nearest to w? (a) -2 (b) -3\/2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -3837?\nAnswer: -3837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = -16. Let m be ((-42)\/k)\/(-3 - -2). What is the second derivative of 5 - 4*a + 7*a**2 - m + 2 wrt a?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 16*d + 8. Let j(v) = -3*v**2 + 19*v + 9. Let p(x) = 4*i(x) - 3*j(x). What is p(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16132 bigger than -16121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17099624 to the nearest integer?\nAnswer: 4135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -19*j**3 + 5*j**2 + 4*j - 2. Let q be g(-2). Calculate the common denominator of -39\/7 and (154\/(-231))\/(-2*5\/q).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4664 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y + 7. Let f be x(3). Let b(q) = 68*q**2 + 7*q + 6. Let h be b(f). Calculate the greatest common divisor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 300118*r**2 - 6002660*r - 30013800.\nAnswer: (r - 300138)*(r + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 587.487 rounded to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 3*h = 2*i - 56, 1374*i - 1375*i + 3*h = -4 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*h**3 - 1\/7*h + 1\/7*h**2 - 1\/7.\nAnswer: (h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -467.809 rounded to the nearest integer?\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15712 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66134, 66111, 66050, 65939, 65766?\nAnswer: 65519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*s**4 + 3*s**2 + 2*s - 435.\nAnswer: -624*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -7\/24*q**4 + 4*q**2 + 2\/3*q**3 + 1\/120*q**6 + 0*q + 0 + 1\/30*q**5. Suppose m(h) = 0. What is h?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(288))\/sqrt(8))\/(sqrt(24)\/(2*sqrt(2))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -811486 divided by 11?\nAnswer: -811486\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (555\/(-20))\/(46\/(6624\/108))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -285 + 310. What is the remainder when 19 is divided by 35\/(-14)*(-20)\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -127 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45538657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2782, -0.4, 154, 2?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z - 4*z**4 + 9*z - z**2 + 2*z**4 - z**2 + 15 - 39 in the form b + i*z + t*z**3 + y*z**4 + r*z**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g + 3. Let f(p) = 7*p + 5. Let j(c) = -5*f(c) + 8*x(c). Calculate the remainder when j(3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-105))\/((-16)\/(-120)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5088089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 1 (b) -15 (c) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**6 - 528*m**5 + 7022*m**2 - 3.\nAnswer: -240*m**3 - 31680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 16 = 2*p - 2*k, 0 = -2*k + 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3382241 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 2*o - 2*o**3 - o**2 + 19 - 12 + 17 to the form i + f*o**3 + w*o**2 + y*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 17699\nAnswer: -53097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**3\/3 + 5*p**2 - 5*p - 107. Let z(o) = 3*o - 3. Let r be z(4). What is the smallest common multiple of 10 and v(r)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -361, -721, -1081, -1441, -1801?\n\"Answer: -360*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 2*b + 1. Let k be q(-1). Suppose -k*p = -58 + 12. Let n be p - (6\/1)\/3. Solve 1 = 4*o + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 25. List the prime factors of 54\/(-5)*t\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 626470?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66996521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-91)\/14)*-1*6. Let y = 344 - c. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - w**2 + 3*w. Suppose -h + 3*h = -6. Let n be l(h). Differentiate -7*f**2 + f**3 - 3 - 2*f**2 + n*f**2 with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, c: 2, i: 4}. Give prob of sequence cii.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2. Let c(q) = 729*q**3 - 5*q**2 - 1580*q. Let t(o) = c(o) + 5*l(o). What is the second derivative of t(d) wrt d?\nAnswer: 4374*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5452 and 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 - 47)\/(-3))\/(21\/(-57 - -15))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**3 - 3*x. Let y(p) = -3*p. Let g(j) = -4*f(j) - 9*y(j). Let w(q) = q**2. Determine g(w(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -2*m - f, 3*f + 4 = f. What is the common denominator of (17\/2)\/((-30)\/16) and (-3140)\/m - (-3)\/(-27)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -8*l. Let c(g) = g + 7. Give c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 172434.868 from -0.012135.\nAnswer: -172434.880135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/(-1472) + (-190)\/(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 30 = -9*n + 5*a, 3*n + 35 = -4*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4\/4 - 6*g**3 + 9*g**2\/4 + 33*g\/2 - 12 = 0. Calculate g.\nAnswer: -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7 + -0.3. Let s = -4 - m. Let h = 3 + -4. What is the closest to h in -1\/5, -2\/9, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 11*n + 1. Let s be y(0). Let j be 2\/2 - (0 + 1). Solve -p + j = s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/(-15) + 1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1745703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -378 + 710. Suppose -2*r + 640 = -h. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171134.2322 to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-4*(-6)\/(-24). Sort 1, f, 0 in descending order.\nAnswer: 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.043 + 5.673. Let g = f - -32. Let m = -0.370009 - g. Round m to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -159.\nAnswer: -5\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/41 (b) 2 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182335822?\nAnswer: 2, 17, 163, 317, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*i**2 - 1330*i + 2560.\nAnswer: 5*(i - 2)*(5*i - 256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 37141, 74274, 111409, 148546?\n\"Answer: d**2 + 37130*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25a583032 - 4?\nAnswer: -25a583036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 539167110*j**3 + 553682638*j**2 wrt j.\nAnswer: 3235002660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307758 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 - 9*q. Let r(m) = -4*m**3 - 13*m. Let c be (9 + (-5 - -1))*(-2)\/2. Give c*r(y) + 7*d(y).\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 9*h**2 - h**2 + (33 + h + 49 - 115)*(-h + 5*h + 3*h) + 2*h**2 + 0*h**2 - h**2.\nAnswer: 15*h**2 - 231*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3687954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from gsbbbgggbbgbsb.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10134 + (9 + -8)*8 + 1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27240*j = 27252*j + 36 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 8) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25414 is divided by 3628.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 76 (b) -4 (c) 38 (d) 2588\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-21)*3 + ((-4206)\/42 - (-193 - -189))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6) - 96\/(-36). Sort 3, s, -3 in decreasing order.\nAnswer: 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -10620614?\nAnswer: 10620613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**4\/12 - 4*u**2. Let k(x) = 6*x**2 + 11*x - 11. Let v(n) = n**2 + 2*n - 2. Let p(b) = -6*k(b) + 33*v(b). Determine p(c(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245, 358, 471, 584, 697?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-9843)\/(-255))\/((-1)\/(-5)) is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2156*n - 3*v = -2159*n - 42, 0 = 2*n + 2*v + 12 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80)*-4)**2 - (4 + (-1*sqrt(605) - sqrt(605)))**2.\nAnswer: 176*sqrt(5) + 2684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -77501, 4, 3, 5 in decreasing order.\nAnswer: 5, 4, 3, -77501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*n + 8, -53 = -3*p + 5*n. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 5*z**4\/12 + 25*z**3\/3 - 53*z**2. Let c be o(-5). Let k(t) = -t**3 - 5*t**2. Let r be k(-5). Solve r*j + 2*j - 6 = c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*i - 1100 = 156*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1254 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5604608 divided by 1401152?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 3*t - 7923*t**3 - 5*t - 3*t.\nAnswer: -7923*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9575\/(-2) - (-45)\/(-18). Round w to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*d + 17 = -17, 3*q - 2*d - 51 = 0. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328 a factor of 424680668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 5*l = 14*l + 32. Suppose -b - 3 = -7. Let s = 1 + b. Is s less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p**(7\/5))\/(p**2\/((p*p**(-10))\/p)) assuming p is positive.\nAnswer: p**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 11 = 17*a + 2*m, -3*m = 2*a - 29. Let p = -18 + 25. Solve -14 = -p*i + a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*6\/99*(-100 + 42479\/428).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.3 and -7.6.\nAnswer: 101.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 32 = 4*t, 4*v = -2*t + 25 - 35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1474 - 3655. Let i(t) = -2*t**2 + 64*t + 144. Let w be i(34). Is ((-5)\/5)\/(2\/w) - s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j - 48. Let n be (8\/j)\/1 - (-88)\/6. What is the second derivative of -7*i - n*i**2 + i**2 - 6*i**2 - 2*i**2 wrt i?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3648 - 10162. What is s rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:13 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*r + 0)*(4 + 1 + 1) + (2 + 2*r - 2)*(4 - 3 + 2).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1739595 and 9075?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 287610.2765 rounded to the nearest one hundred?\nAnswer: 287600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4*1)\/((-1)\/(-8)). Suppose -239*u - 265 = 239*u - 531*u. Solve -u*g - f = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 88718.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**4\/36 + 2*r**3\/9 - 2*r**2\/3 + r. Factor w(q).\nAnswer: -(q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207540 and 260.\nAnswer: 2698020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from llllldlllllolldolldl?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 6*z**2 + 2*z + 3. Let d be i(6). Let o be (6\/d)\/(2\/(-10)). Let x = o - -10. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04846581 * 7\nAnswer: 0.33926067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.8 and -4.\nAnswer: -35.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -696 or 1?\nAnswer: -696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1, -7, -19, 39132, 5 in increasing order.\nAnswer: -19, -7, -4, -2, 1, 5, 39132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2. Suppose 0 = -5*r - 3 - 7, 2 = -2*b - r. Let s(l) be the first derivative of -2 + b*l + 2\/3*l**3 + 0*l**2. Determine s(d(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/13 in 0, -2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a micrometer in nanometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*b = 19, -13*o = -14*b - 9023 + 9000 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2250, -1\/3, -4\/3, -5, 16 in ascending order.\nAnswer: -2250, -5, -4\/3, -1\/3, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130111423 (base 5) in base 12?\nAnswer: 1628686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 9*o - 3*h - 11, -5*h = 35. Let g(d) be the second derivative of -7*d + 1\/9*d**3 + 0*d**2 - 1\/9*d**4 + 1\/30*d**o + 0. Factor g(t).\nAnswer: 2*t*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (516\/344)\/((-2)\/92*3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - t**2 - t + 1. Let s be (4\/(-8))\/(3\/(-42)). Let x(z) = -s*z**2 - 5*z**3 - 12*z - 19*z + 28*z + 3. Determine -3*r(v) + x(v).\nAnswer: -2*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13813, 56407, 127767, 227893, 356785?\nAnswer: 514443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-3)*(-6)\/5. Let n = -212376 + 212376. Let l(k) = k**3 - k**2 - 3*k - 1. Let i be l(3). Sort t, i, n.\nAnswer: n, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 6*y - 16784. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 2*d + 1. Let n be y(-2). Sort n, -3, 4 in increasing order.\nAnswer: -3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 21 - ((-210)\/(-9))\/5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (16 + -5 - -3) + -13 + -8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.3 (c) 7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6350.6 and -0.124?\nAnswer: 6350.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 43. Is p - ((-1)\/(-1) + -260 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1813616 and 1120.\nAnswer: 18136160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*o**2 + 3567 - 2*o - 3*o**3 - 3587 + 27*o**2 as h*o**3 + i*o + n*o**2 + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 288096701 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -9\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 580?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2851085\/114 greater than -25010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2 + h. Let i(m) = 3*m**3 - 8*m**2 - 8*m + 2. Calculate -6*a(r) - i(r).\nAnswer: 3*r**3 + 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 18, 18, -8, -72, -186, -362?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3474 - 3482. Let l(v) = -4*v - 29. Give l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 0)\/((-1)\/(-7)). Let i be (-1 - (-4 + 1)) + -5. Let b be ((-7)\/i + -4)*-3. What is the greatest common divisor of s and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 times 15.41?\nAnswer: -1602.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.4951410022 plus -1.1?\nAnswer: 17.3951410022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4078344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, -8, -0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 13*u**3 - 2*u - 5*u**3 + 2*u to the form z + g*u + c*u**2 + m*u**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 0*y + 6*y**2 - 5*y + 4. Let i be b(3). Let k = i + 6. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/9 + 1)\/(15 + -13). Let h = -3.6 + 0.6. What is the second biggest value in h, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 946 is divided by 54.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15381803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4041*z**3 + 4046*z**3 - 7 as p*z**3 + v*z**2 + h + k*z and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.68 - 0.38. Suppose 2*s + 65 - 360 = -x, 2*s - 5*x - 325 = 0. Let j be (s\/(-232))\/(-1) - 3\/4. Which is the third smallest value? (a) -3 (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156333648 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4316 + 4315. Let t = -0.2 - -0.25. Which is the second biggest value? (a) t (b) y (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 2. Let s(h) be the first derivative of 3*h**3 + 2*h**2 + 4*h + 737. Is 8 a factor of s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3808 by -6.\nAnswer: 1904\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 2, -1, 0, 2291 in decreasing order.\nAnswer: 2291, 6, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -419992 + 419992. Let b = 51 + -34. Let z = b + -10. Is d greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**2 + 9 + 8*v**2 + 14*v + 2 - 2*v**2. Let b = -22 - -35. What is the remainder when y(10) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1164, 889, 698, 633, 736?\n\"Answer: 7*z**3 - 324*z + 1481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 45594739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 3*j = 1050. What is the remainder when j is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 334, -11.\nAnswer: -11, -3, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 7*w**2 + 2*w**3 + 1\/15*w**5 + 0 + 0*w - 2\/3*w**4. Factor l(y).\nAnswer: 4*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35514 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*j**2 - 24*j**3 - 575*j**2 + 191*j**2.\nAnswer: -24*j**3 - 993*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/4300 and -29\/1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Does i = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13976, -14235, -14472, -14687, -14880, -15051?\n\"Answer: 11*v**2 - 292*v - 13695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**3 - 3*n**2 - n + 4. Let q(s) = 9*s**3 - 8*s**2 - 3*s + 12. Let f(w) = -4*q(w) + 11*r(w). Is f(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*s - 1 + 115*s**3 + 118*s + 1280*s**3 + 14208*s**3 to the form h + r*s**2 + y*s**3 + u*s and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 507 and -2577.6.\nAnswer: -1306843.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2280?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 188 - 186.9. Let y = 1.08582 - d. What is y rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14*168\/104292. Let t = i + -425771\/191202. Calculate the common denominator of t and -57\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -61, -1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-56*u + 78*u - 73*u).\nAnswer: 153*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, x: 2, f: 1, r: 2, c: 1}. What is prob of sequence xcr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (4 + (1 - -6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -158\/8499?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 147?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 310254 + 423?\nAnswer: 311121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(3\/4))\/k)\/k*k)\/k**(-2\/21))**(-2) assuming k is positive.\nAnswer: k**(-155\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21970, -15316, -8660, -2002?\nAnswer: 4658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.5, -0.0509, -18, -3, 2, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -57*m - 29. Let w(v) = -11*v - 6. Let j(q) = 2*s(q) - 11*w(q). Let o(n) = -4*n - 4. Give 6*j(h) + 11*o(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 3694*f - 3693.\nAnswer: -(f - 3693)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**3 + 2*o**3 + 5 - 1 + 1 + 9*o**3 to the form w*o**3 + y + f*o**2 + x*o and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75597068 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {f: 2, s: 7, z: 6, a: 3, l: 1}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 13*m**2 + 40*m + 453. Is h(-44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 3*w - 14 - 8.\nAnswer: 9*w - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 30*b = 2*o + 158934, -4*o = -b + 39730. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/7)\/(f*f*f*f**(-16)) assuming f is positive.\nAnswer: f**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 4*q**2 - 2*q + 3. Let d be h(4). Let g = 0.4 + -0.2. Sort g, -0.4, d.\nAnswer: d, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227426?\nAnswer: 2, 17, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14)\/((-1)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*j = -179*j + 87*j - 2*z + 12, 2*j + 3*z = 22 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.01642 to 2 dps.\nAnswer: -37.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meep when four letters picked without replacement from {m: 2, j: 2, e: 6, p: 6, k: 1}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*s**2*t**3 - 3681447*i*s*t - 361*s**2 + 82826*s*t**3 wrt i.\nAnswer: -s**2*t**3 - 3681447*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -24. Suppose -b*f = 3*r - 14, 0*f - 4 = -4*f. Suppose -r*n - 2*n = 25, -x + 148 = 4*n. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(20*10\/450)\/(2\/(-19))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*r - 278, 740 = 3*y + 2*y - r. Let t = y - 103. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2455228\/3129295 - 1\/48143. Find the common denominator of 58\/245 and a.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 (base 13) in base 8?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38583?\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + (5 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 29. Let h(j) = -7*j + 30. Let y(q) = -2*h(q) - 3*t(q). What is the remainder when y(-7) is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -127, 7, 1 in decreasing order.\nAnswer: 7, 1, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5418, 5382, 5322, 5238, 5130, 4998, 4842?\n\"Answer: -12*f**2 + 5430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2599.82962 + -2600. What is o rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13232 - -33321?\nAnswer: 113213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((154\/(-7))\/11)\/(2\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wll when three letters picked without replacement from zltgwttlzwwwte?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*n - 169*n - 0 - 8. Let b(a) be the second derivative of -1\/21*a**4 + 3*a - 4\/7*a**3 + 0 - 18\/7*a**n. Solve b(u) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1056067*m*t**2*v - 17*m*t - 2591*t**2*v - 2017*t**2 wrt m?\nAnswer: 1056067*t**2*v - 17*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, b: 3, f: 5, u: 3}. Give prob of picking 4 f.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -320 or -202?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 - (-4)\/(-4)*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 850849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46235 or 0.2?\nAnswer: 46235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.0993 * 2.51.\nAnswer: 17.819243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24*31490\nAnswer: -755760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a factor of 1811200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11529.0192 + -11531.41919998. Let p = 2.4 + z. What is p rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-455)\/14 + -6)*(-12)\/7 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 0.28396\nAnswer: -0.0340752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 18*q**2 + q - 18. Let x be k(18). Suppose -4*w - 101 + 323 = t, w + 4 = x. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 + 4 = 0. Let z(c) = -k + 5 - 3*c + 3 + 5. Let y be z(3). What is the greatest common factor of y and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -67, -274, -619, -1102?\n\"Answer: -69*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0764 - 0.1236. Suppose u + 0 = 1. Which is the second biggest value? (a) -1 (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16961703481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70564 is divided by 200.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16549694 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12402 + 2?\nAnswer: -12400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 0, 17 + 3 = -5*o - 4*a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170507 and 11857.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*q + 492*q - 156*q - 158*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/29 (b) 0.1 (c) -3\/7 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 + 195*r**2 + 2535*r + 10985 = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*v + 2 + 12*v - 27*v)*(1 - 5 + 2) to h*v + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*n - 72, -2*n = -5*c + 2*n + 116. Suppose 0 = w - 5*z - c, 0 = w - z + 6*z + 30. Sort -14, w, 3 in ascending order.\nAnswer: -14, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80402088, 160804177, 241206266, 321608355, 402010444?\n\"Answer: 80402089*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 359669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 163268 + 2367?\nAnswer: 165635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/((-2)\/480*-10)*2550\/(-170).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.6 + -8. Let h = 0.6 + k. Let d = 3.2 + 0.8. Which is the nearest to 0.2? (a) 4\/3 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s = -30045 - 4497. Let l = 2561 - s. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, n: 9}. Give prob of picking 2 c.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*q + 154388 + 93922. Is 62 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - g + 5 = 5*s, 0 = -5*s + g + 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -52*w + 5. Let x be u(-4). Calculate the remainder when x\/3 - (-1)\/1 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 156. Suppose -119 = -u - l, -u + 72 = -3*l - s. Does 41 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4839365 kilograms to nanograms.\nAnswer: 483936500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -113? (a) 956 (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18292711804290 and 0.3.\nAnswer: 18292711804290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + (-69939)\/(-228). What is the second derivative of 4 - 11 - 14 - 310*r + o*r - 101*r**2 wrt r?\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38679 is divided by 142?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 3:40 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 818.932842s in weeks?\nAnswer: 0.001354055625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-461729)\/7 - 16\/(-56). What is the units digit of (-2)\/(-13) + x\/(-91) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let t be ((-112)\/(-3))\/4*f. Let j = t + -17. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161574599*i**2 - 165975380 wrt i.\nAnswer: 323149198*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2. Let r be k(-2). Let o be r\/3 + (-2)\/(-6). Suppose o = -4*m + 63. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(36)\/(sqrt(1452) + (sqrt(1452) + 1*sqrt(1452) - sqrt(1452))))**2.\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6 + 10 - -4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4922*g - 23. Let z(t) = -1642*t + 7. Determine 4*v(w) + 13*z(w).\nAnswer: -1658*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 1004287488*f + 126074169819168768.\nAnswer: 2*(f + 251071872)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, 3, -3, -10\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 600, 815, 1030, 1245?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -3.6, -9, 896, -2\/79?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 18465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-3) - 296\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3\/6 + 132447*k**2\/2 - 1152373*k\/3.\nAnswer: k*(k + 79474)*(5*k - 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33\/22*(-4)\/(-9). Suppose -3*o - 5*u = -3*u - 2, 2*u + 10 = 3*o. Is o greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32 and -0.014743725651?\nAnswer: 31.985256274349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -59*x. Let q(d) = -3*d + 1. Give -g(r) - 2*q(r).\nAnswer: 65*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001703335 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - g - 1. Let t(c) = -7*c**2 + 23. Let z(w) = 2*j(w) - t(w). Let q = 4 - 9. Calculate the remainder when 18 is divided by z(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*12\/63 - 4\/(-14). Are q and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 3267?\nAnswer: 3272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13290860 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -15. Let z = 3 + x. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 909562928*i**2 - 2*i + 1270709403 with respect to i.\nAnswer: 1819125856*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -7\/24*l**4 + 43\/9*l**3 - 23*l**2 + 12*l + 19. Determine z so that v(z) = 0.\nAnswer: 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-39 + -4) - -13\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (2 - ((4 - 5) + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(1700) - (sqrt(1700) + (sqrt(1700) + -1)**2) - sqrt(1700)) + (4*(sqrt(1700) + -1))**2.\nAnswer: -380*sqrt(17) + 37422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let h(g) be the third derivative of -1\/60*g**5 - g**2 - 1\/120*g**6 + 0 + 0*g**3 + i*g**4 + 0*g. What is the third derivative of h(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241100 rounded to the nearest ten thousand?\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1516130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifteen quarters of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22117495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l - 18. Let n = 8 - l. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-8))\/((-190)\/988)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 291 - 389. Let g = f + 161. Suppose 0 = -x - 3*d - d + 29, -2 = 2*x - 4*d. What is the greatest common factor of x and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*b - 11, -7*g + 4*g + 4*b - 23 = 0. Suppose 5*t - 45 = 4*j + j, -23 = 3*j - 2*t. Sort 5, j, g in descending order.\nAnswer: 5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(2*sqrt(70) - sqrt(70)))\/(sqrt(250)*2 - (sqrt(490)*-2 + sqrt(10))).\nAnswer: -30*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12586 - -0.09586. What is the third smallest value in -1\/4, k, -1\/3, -2, 6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*c - 662 = -6*z, -678 = -4*z - 3*c. Let s = -324 + z. Let i = 262 + s. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7de7d (base 16) in base 7?\nAnswer: -4245345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 - 23 - -7) + -5.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28936, -28998, -29102, -29248, -29436?\n\"Answer: -21*x**2 + x - 28916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1061.2 - 530.3. Let k = z + -568. Let v = k - -37. Which is the nearest to v? (a) 5 (b) -0.2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-21))\/(1650\/1080)\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let w(z) = 112*z**5 - 116*z**4 - 18*z**3 + 28*z**2 - 4*z. Let g(h) = -2*v(h) - w(h). What is i in g(i) = 0?\nAnswer: -1\/2, 0, 1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -31.6?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-40)*4)\/(21\/84)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/12565967?\nAnswer: 2\/12565967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*n**2 - 644*n + 220 = 0. What is n?\nAnswer: 11\/30, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3)\/b)\/b)**(-14\/3)\/(b**(-1\/8)*b)**36 assuming b is positive.\nAnswer: b**(-455\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/9 + 5 + (-5)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 0.21, -4\/9, 7, 4043 in decreasing order.\nAnswer: 4043, 7, 2, 0.21, -0.1, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 8 = -0*y - 2*j, 2*j = -3*y - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(224) + sqrt(224))*6)\/((-5*(sqrt(84) + (3*sqrt(84) - sqrt(84)) + sqrt(84)))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0 - 3\/40*c**5 - c**3 + c**2 + 1\/140*c**7 + 0*c - 1\/40*c**6 + 1\/2*c**4. Factor s(v).\nAnswer: 3*(v - 2)*(v - 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -9 - 15. Let y = -8 + l. Let n = y + 3. Solve -n = -4*g - 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1407689.3599937 + 1407690.3. Let h = 0.94 - g. What is h rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 18471*q**3.\nAnswer: -3*q**3*(q + 6157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1977\/10 + -981\/5. Factor 0 + z*g**3 + 1\/2*g**2 + 0*g.\nAnswer: g**2*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/14 and 65\/3944.\nAnswer: 27608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 28079263.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 - 7*g**3\/3 + 15*g**2\/2 + 5*g. What is the remainder when 5 is divided by w(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -241235, -240829, -240419, -239999, -239563, -239105, -238619?\n\"Answer: q**3 - 4*q**2 + 411*q - 241643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/8)\/((-310)\/(-372)*3\/(-55)).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(50))\/sqrt(10))**2 + sqrt(5) - (sqrt(180) + 2)) + 1.\nAnswer: -5*sqrt(5) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -341*t**4\/4 - 1783*t**3\/6 - 1091*t. Find the second derivative of f(l) wrt l.\nAnswer: -2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.357 + -6.357. What is the closest to 1\/4 in 2\/7, o, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 3*h - 9*h)*((6 - 6 + 8*h)*(-3 + 3 + 1) - h - 3*h - 6*h) as a + f*h**2 + s*h and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 2*t**5\/15 - 5*t**4\/8 - 73*t**3\/6 - 57*t**2 + 2. What is the tens digit of k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -486417.\nAnswer: -19456.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3382 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2480 and 450944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-84931)\/(-99) - (140\/36 - 4) and 1716?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -49. Let j = -22.05 + g. Let l = 3.05 + j. Which is the second smallest value? (a) 1\/5 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 14*v. Let o(r) = 22*r - 2. Let d(p) = -6156*p + 532. Let k(b) = d(b) + 266*o(b). What is k(i(a))?\nAnswer: -4256*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*d - 6*d + 17*d + 2.\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8987489353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**4 + c**3*s**3 - 96144*c**2 - 1231*c*s**3 - 172*c + 159*s**3 wrt c?\nAnswer: -36*c**2 + 6*c*s**3 - 192288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -25*n + 663260 - 101015. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255916119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.87145 seconds in minutes?\nAnswer: 1.0978575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 4*j**2 + j + 5. Suppose 5*l = -19 - 1. Let t be c(l). Sort -4, 3, t in increasing order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/9 - 2164*t**3\/9 + 195838*t**2\/3 - 128880*t - 194400 = 0. What is t?\nAnswer: -1, 3, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkktjjdktmj. What is prob of sequence tm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-6))\/(-3))\/(-3*9\/21)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/26*(2109\/370)\/(-57))\/((-1)\/(-30))?\nAnswer: 48\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703.7*-0.2.\nAnswer: -140.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -22 + -1 + 11 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24594910?\nAnswer: 2, 5, 2459491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 9 = 2*r + 3, -1 = -2*n - r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(1700) + 3.\nAnswer: -10*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + 23*z + 15. Let j be c(-11). Let t = j - -152. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**4 + 26*d**3 + 63*d**2 + 433. Let t(h) = 0. What is h?\nAnswer: -3\/2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -8 + 0*l**2 - 5*l + 0*l**3 + 1\/6*l**4. Let b(v) be the first derivative of i(v). Let k(h) = 4*h. What is k(b(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(450))**2 + ((sqrt(8)\/(sqrt(16)\/sqrt(4) + sqrt(4)) + sqrt(2))*3)**2.\nAnswer: 14481\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88) + 5*-2*sqrt(88) + sqrt(88)))))\/((sqrt(8) + ((sqrt(96)\/sqrt(3))\/sqrt(4) - sqrt(8)))*3).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 355 and 14826220?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131491 is divided by 1214?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.33 - 5. Let u = -3568 - -3542.13. Let f = s - u. Round f to 0 dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*j = -5*w, 2*j = -5*w + 35. Suppose -2*s + w + 19 = 0. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 2*g**3 - 3*g**3 + 36.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002136 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 652265*f + 652260.\nAnswer: 5*(f - 130452)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - o + 329 = 0. Let b(u) = -48*u + 2 + 2 + o*u. Determine b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 96 + 202 + 6*u**2.\nAnswer: 6*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5597029ml to litres.\nAnswer: 0.0005597029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**5\/10 - 2*u**2 + 4*u + 1. Let s(l) be the first derivative of h(l). Differentiate s(y) with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 8*v**2 - 5*v - 9. Let f be z(7). What is the highest common factor of 45 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 + 2*n. Let i(o) = 2*o**2 - 2*o - 1. Determine b(g) - 2*i(g).\nAnswer: -g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -3 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k)**(-4\/27)\/(k\/k**(1\/4))**(-5))**17 assuming k is positive.\nAnswer: k**(5797\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -908, -2148, -3886, -6122?\nAnswer: -8856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3453517 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -578a - 5?\nAnswer: -5792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + 0 - 16\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 91. Is 2742\/18 - (-2)\/u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0\/(r*r*(r**9*r)\/r)*r*r**(1\/2)*r*r\/(r**11\/r)*r assuming r is positive.\nAnswer: r**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 673 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-108)\/630*5*11\/(-66)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286132?\nAnswer: 2, 7, 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 57, 86, 115?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 2*k. Let r = k - -6. Calculate the remainder when 11 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 281*t**2 + 684*t - 685. Let r be c(1). What is the greatest common divisor of 1904 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1733*q**2*s + 18*q**2 - 1569*q*s - 5*q - 1 wrt q.\nAnswer: -3466*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -3\/5, -335, 5, -6\/5, -3 in descending order.\nAnswer: 5, -3\/7, -3\/5, -6\/5, -3, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/5)*z*(z*z**(-3\/11)*z)\/z*z*z**(-2)*z*z*z**(-1\/6) assuming z is positive.\nAnswer: z**(779\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**4 + 0*x**4 + 0*x**4 + (4*x**4 + 0*x**4 - 3*x**4)*(-1878 + 3331 - 2156) + (0*x**3 - 3*x**3 + 4*x**3)*(0*x + 2*x - x) - x**4 + 2*x**4 - 5*x**4.\nAnswer: -705*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14948*k**2 + 12*k + 33. List the prime factors of a(-2).\nAnswer: 7, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qouvvvh. What is prob of picking 1 h, 1 u, and 2 v?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110*r*s**3 + r*s - 5*r + 5*s**4 + 2*s**2 + 10*s + 1 wrt s.\nAnswer: -660*r*s + 60*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28673*-1\nAnswer: 28673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20118 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -1\/3, -4, -492\/13, -5, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16302 and 33330.\nAnswer: 8232510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k)*(376*k - 20*k**3 - 376*k).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 326\/9 - 8\/36. Suppose 0 = x + x - n. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 5 (c) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332049613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 7. Let u be f(-3). Calculate the greatest common factor of u and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10143, 81500, 275187, 652368, 1274207, 2201868, 3496515, 5219312?\n\"Answer: 10194*d**3 + d**2 - 4*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from zttzs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53054*x**3 + 19986*x**2 wrt x.\nAnswer: -318324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -74, -120, -182, -266, -378, -524, -710?\n\"Answer: -k**3 + k**2 - 32*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2083582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - 2*y)*(-y + 2*y**4 + y) + 2*y**5 - 2*y**5 - 2*y**5 + (3 - 3 + y)*(-4 + 0 + 5)*(-5*y**3 - 2*y**4 + 5*y**3).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277771411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**4 - 36*u**3 + 102*u**2 + 36*u - 105 = 0.\nAnswer: -1, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2642)\/1854 + (-1755)\/(-1215)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.44*0.006\nAnswer: -0.00264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 26*c - 794. Give h(-17).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 - 825*p**2 - 7917*p + 8745 = 0 for p.\nAnswer: -265, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -26*p**2 + 1323*p + 147. Determine a(51).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21035497 or 21035502?\nAnswer: 21035497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2 and (-332)\/32 - (-3)\/(-12)*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*23 + (-4)\/(-4). Suppose 4*q + 26 = 6*m - 4*m, 0 = m + 4*q + 17. Suppose -m*j + o = -j. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-921)\/6)\/((-3)\/6). Suppose -10*i = s - 1797. Suppose -2*c + i = -49. What is the highest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 562.81 - 571. Let p = -0.19 - u. Let n = p - 11. Which is the closest to -0.2? (a) 1 (b) 1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 26*g + 200. Let u be b(-7). Solve u = 4*h - 10*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(9) - (sqrt(576) + sqrt(576)*1)))\/(sqrt(55)\/sqrt(80) - 2*(sqrt(11) + sqrt(99))).\nAnswer: 4*sqrt(3)\/465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2. Let d be 49\/14 + 1\/(-2). Suppose 15 = d*w + 3. Let k(n) = -n**2. Determine w*t(i) + 14*k(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17872435, 35744871, 53617307, 71489743, 89362179?\nAnswer: 107234615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**2 + 103*s - 248. Let n(a) = -3*a**2 - 34*a + 82. Let v(g) = 10*n(g) + 3*u(g). Factor v(b).\nAnswer: (b - 4)*(3*b - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003203 (base 6) in base 9?\nAnswer: -71883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 1. Let d(i) = -8. Let c(h) = -d(h) + 6*n(h). Let u be c(5). Let f = 7 + u. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r + 242*r**4 + 15*r**4 + 14 - 16*r**2 + 16*r**2 + 4*r wrt r.\nAnswer: 3084*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2576)\/(-207)*129\/301.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 24 = 3*u, 0*t - 4*t + 4*u = -8. Let z = -2 + t. Let w = 7 + -4. Which is the third biggest value? (a) 0 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -6. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*l + 0*l - 22 = 0, -26 = -a + 3*l. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776.3925 years in months?\nAnswer: 9316.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.04 + 1.96. Let w = d + -7. Put w, -3\/7, -0.5, -3\/41 in descending order.\nAnswer: w, -3\/41, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279 (base 14) to base 12\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v**4 - 342246*v**3 - 5930145*v**2 - 22235388*v + 17560620 = 0. Calculate v.\nAnswer: -38010, -11, -7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 10 + 7\/16*t**5 + 2*t + 5\/12*t**4 - 5\/8*t**3 + 0*t**2. Let s(m) = 0. What is m?\nAnswer: -1, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from nonnnnvonwoonvno.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2))\/s**(-3\/4)*s**(-1\/4)\/(s\/s**(-1)) assuming s is positive.\nAnswer: s**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31714 - 29096094679.\nAnswer: -29096126393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/(-117)*(3\/16)\/(11\/44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17780 and 164500?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16612.\nAnswer: 2, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.003 and -125?\nAnswer: 125.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -57?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -244310?\nAnswer: 244314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(-1 + sqrt(567))*1)**2 + 3.\nAnswer: -10221 + 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 98*a**2 + 1. Calculate the remainder when s(1) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 69 = 2*x. Calculate the remainder when 49 - 2 - (-10)\/(-5) is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 10*i - 136. Let n = -6 - i. Let x = -8 + 18. Calculate the smallest common multiple of n and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45.98925 millennia?\nAnswer: 45989.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = 2*u + 277. Let r be -3 + -2 + u\/(-156)*3. Let x be (0 + 6)*6\/96. Sort 1, r, x, -5\/2 in increasing order.\nAnswer: -5\/2, r, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/96 + 23*d**5\/240 - 5*d**4\/48 - d**3\/3 - 230*d**2 + d. Solve x(b) = 0 for b.\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1033\/3135 + -4\/1045. Which is the second biggest value? (a) y (b) 0 (c) -3 (d) -1\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*n + 2*n, 2*g + 21 = -5*n. Let j(z) = -3*z**3 - 2*z**2 + 6*z + 1. Is 14 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -798, -926, -1228, -1776, -2642, -3898?\nAnswer: -5616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6053 (base 15) in base 3?\nAnswer: -1000212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 794466 and 81810?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 1\/2 (c) 8 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*7\/84*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + b + 1. Let a be s(-1). Solve 9 = -2*j - a*z + 1, 0 = 3*j - 3*z - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07306 * 4698\nAnswer: 343.23588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 612*g*o**4 - 2*g*o + 1983*o**4 + 46527692*o wrt o.\nAnswer: 7344*g*o**2 + 23796*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 13 = -4*m. Let f be (-6 - 8)*(-6)\/m. Find the third derivative of -12 - 25*g**3 + f + 4*g**2 - 21*g**2 wrt g.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 152, 399, 760, 1235?\nAnswer: 1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 232.5 - 232. What is the closest to -0.1 in 0, o, -0.3, -9\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**19*n**1\/n assuming n is positive.\nAnswer: n**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2442 and -1.63.\nAnswer: 0.398046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:53 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3 + 134*m - 14*m**2 + 0 - 136*m to v*m**2 + l*m + i and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/23, 1, 2, -50 in ascending order.\nAnswer: -50, -0.5, 2\/23, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + -5.12. Let n = -113418 - -113417.8. What is the closest to -2 in 0.2, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125 - -627\/5. Let z = -119\/33 + 36\/11. Let g = 217\/3 - 73. Which is the nearest to m? (a) z (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21191630, -21191631, -21191632?\nAnswer: -21191633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-17)\/u))\/u)\/(u*u\/(u\/u**(1\/8))) assuming u is positive.\nAnswer: u**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -25.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 64 = -4*x. Let l = 586 + -384. Calculate the least common multiple of l and x.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*i**2*x**5 + 51127*i**2*x**2 - 2*i**2*x - 49*i*x - i + 4*x - 29 wrt x?\nAnswer: -240*i**2*x**3 + 102254*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1211*m + 1214*m + 22 = 4*t, -5*m - 2*t - 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -997*v**2 + 6*v. Suppose -3*g + 5*o + 9 = 0, -4 - 2 = -2*g - 2*o. Let w(a) = 2991*a**2 - 17*a + 1. Let j(s) = g*w(s) + 8*k(s). Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17062504 to the power of 1\/2, to the nearest integer?\nAnswer: 4131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8268 - 0.83. Round q to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -485 - -491. What are the prime factors of (n + (12 - 6))\/((-6)\/(-244))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*g**2 + 3 - 78*g**2 + 42*g**2 to the form c*g + t*g**2 + q and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 2*j - 9, 2*h + 3*j + 14 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756991.\nAnswer: 1756991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -13. Suppose -a*l - l = 2*o - 130, 102 = 3*l - 3*o. Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s + 7. Let z(c) = 14*c + 20. Let q(k) = -17*x(k) + 6*z(k). Determine q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2280484, 2280490, 2280496, 2280502, 2280508, 2280514?\nAnswer: 2280520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-315))\/(-9 - 3663\/(-405)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0014 (b) -4 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4033360 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 divided by 10.\nAnswer: -129\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50611500 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/2 - 69339234*j + 801321561951126.\nAnswer: 3*(j - 23113078)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -358, -402, -440, -472, -498, -518, -532?\n\"Answer: 3*y**2 - 53*y - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -133*i**2 + 133*i**2 - 11*i**4 - 2*i**4 - 4*i**4 + 5*i**4 + (i - i - 2*i**2)*(-2*i**2 + 2*i**2 + i**2).\nAnswer: -14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -1 - (58 + -27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*s + 8 = 0, 5*c - s = -6*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(210) + sqrt(210)*-3*1)\/sqrt(10))\/(sqrt(5103)*-2).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2412.0257969 rounded to 1 dp?\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - o - 16. Suppose 0 = o*i - 5*i - 15. Solve -3*d = -3*t - t - 23, 3*d = i*t + 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 5, 1, -3724?\nAnswer: -3724","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223068 to the power of 1\/2, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppjp when four letters picked without replacement from {p: 4, d: 1, j: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -387 and -307.\nAnswer: 118809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*i + 25. Suppose 60 = -0*u + i*u. What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777.4 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y + 1125 = -5*y. Suppose -54 = -y*b + 57*b. Factor 0 - 8\/13*w + 2\/13*w**b - 6\/13*w**2.\nAnswer: 2*w*(w - 4)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -64155?\nAnswer: 64162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjjtjjjjjtjjjjjjtjjj. What is prob of picking 1 t and 2 j?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 619240.\nAnswer: 1857720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55870 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 + -81. Let y = -22 + g. Let j = -37 + y. Is -4 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**2 - 3*l + 6. Let t(d) = -9*d**2 - 4*d + 7. Give 6*k(r) - 5*t(r).\nAnswer: -3*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f - 9. Calculate the remainder when k(10) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/2272609 (b) 3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 885.2 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 4. Let q be (-1 - f\/(-1))*-1. Let o(x) = x**2 + 5*x + 6. Let n be o(-4). Solve 0 = -q*i + n*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*f + 88*f**2 + 46*f - 92*f.\nAnswer: 88*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2\/5, -68, 0.4, -5, 4 in decreasing order.\nAnswer: 19, 4, 0.4, -2\/5, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (30175\/710)\/((-10)\/(-4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and -3588324?\nAnswer: -254771004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -40. Suppose -23*z + r*z - 880 = 0. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -601, -678, -751, -820, -885, -946?\n\"Answer: 2*u**2 - 83*u - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 76 = -4*t, 193 = 5*t - c + 69. Calculate the highest common factor of 168 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n**2. Let k(o) = 2*o + 3. Let f(a) = -9*a - 13. Let q(v) = 6*f(v) + 26*k(v). Give q(s(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-31 + 27)\/(4\/2). Sort 47, 0.1, j.\nAnswer: j, 0.1, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let f = s + -5. What is the second biggest value in -1, f, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3737956816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5530150 rounded to the nearest 10000?\nAnswer: 5530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2 - 3324*g + 198688 = 0. What is g?\nAnswer: -887, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1053674 (base 8) to base 7\nAnswer: 2263515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/8))**(2\/55))**27 assuming t is positive.\nAnswer: t**(27\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000302 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 5, -596567 in ascending order.\nAnswer: -596567, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from iitggxxt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324591499 to the power of 1\/3, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2188*b**2 + 7039*b + 1429. What is w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 30*r**3 + 5*r. Let p(u) = 15*u**3 + 3*u. Give -3*c(s) + 5*p(s).\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/2 + 9129\/(-1074). Let z(f) be the third derivative of f**6\/120 - f**4\/24 - 2*f**3\/3 + f**2. Calculate z(x).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*a - 24 = -3*r, -5*a = 3*r + 14. What is the third derivative of 9*m**2 + 3*m**r + 27*m**5 - 12*m**5 wrt m?\nAnswer: 900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -745 + 26843\/36. Calculate the common denominator of -133\/78 and h.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30931.6482 + 30929. Round k to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/540 - 191*f**5\/270 - 95*f**4\/54 - 129*f**2 - 3*f. Suppose m(l) = 0. Calculate l.\nAnswer: -190, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3712)\/(-377) - (-46)\/299.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56024 or 56023?\nAnswer: 56023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let j = 22 + -21.8. What is the closest to -1\/4 in z, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -258.1 - -256. Let p = -2.1026 - g. Round p to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 103. Suppose 0 = v + 5 - k. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 10:38 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((sqrt(80) - (-1*sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80))) + sqrt(5)).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/180 and -155\/114.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-8)\/(n*n*(((((n*n\/n**12)\/n)\/n)\/n)\/n)\/n)*n**16\/(n*n*n\/n**(-1\/6)*n) assuming n is positive.\nAnswer: n**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5\/3, 11 in decreasing order.\nAnswer: 11, 5\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*v + 42764 + 2742 = -728*v - 21402 for v.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 68*o**2 + 5*o + 9. Let v be a(-4). Suppose 34*b + v = 37*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g + 19. What is t(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68369 is divided by 263?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3383\/25 + -755267\/5600. What is the common denominator of 61\/140 and h?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*u*w + 69*u + w wrt w.\nAnswer: -75*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51880 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 h be ((-6)\/5)\/((-1)\/5). Let q(f) = -5*f + 2. Let a(b) = 11*b - 6. Let i(p) = -3*a(p) - 7*q(p). Calculate i(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -4*p**5\/5 - 2*p**2 + 5*p + 3. Let j(o) = o - 1. Let i(b) = 4*j(b) + y(b). Differentiate i(s) wrt s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 - 4*i + 4. Let y be r(-3). Let u(w) = -w**2 - 4*w - 4. Let n be u(y). Solve 4*q - 5*p + n = -2, 2*q - 2*p = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cb (base 15) to base 8.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182597588 a multiple of 2606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 2*a**2 + 4*a - 1. Let h be u(-3). Let i(w) = -w**3 - 3*w**2 + 4*w**2 + 3*w - 2*w + 3. Is i(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93863*n**2*p**3*w - 3*n**2*p*w - 364978*n**2*w**3 + 76*n*p**3*w**2 - 4*n*p**3*w - 13*p**3*w wrt w?\nAnswer: -2189868*n**2*w + 152*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/268 and -7\/188.\nAnswer: 12596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6607*q = 6123*q + 47916 for q.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369896 divided by -132.\nAnswer: -92474\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50*102\/(-17000))\/(6\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1)\/((-22)\/(-24) - 1) and 21\/(-2)*1368\/(-133)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - -1011111333020?\nAnswer: 1011111332223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-20))\/((-21)\/2364). Let p = n - -249\/5. Let v be (-14)\/189*(1 + (-4)\/1). What is the closest to p in 5\/4, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2 + 1. Let s(c) = -9*c**3 + 10*c**2 + 11. Let z = 286 - 284. Determine z*s(w) - 22*n(w).\nAnswer: 4*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6afba (base 16) to base 6\nAnswer: 13220414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*395.73\nAnswer: 158.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*m - 19 = -4*a + 998*m, 3*m = a + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, a: 4}. Give prob of sequence aau.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-18))\/(1036\/(-888)) - 8\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - -ede92a?\nAnswer: ede93f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcc when three letters picked without replacement from {a: 1, f: 1, c: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -38*c - 61. What is the tens digit of z(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-140)*-6*-5)\/(6\/714)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4, 8*z - 16500 = -5*g + 3*z. Suppose 18*q - 26*q = -g. What are the prime factors of q?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-4\/7)\/h))**(3\/28)*(h*h\/(h\/h**(18\/5)*h*h))\/h*h*h*h\/(h*h**(5\/2)*h)*h)**(-22\/9) assuming h is positive.\nAnswer: h**(-7414\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:23 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 240 - 244. Let y be ((-164)\/(-4))\/((-1)\/(-2)). Let j = 161\/2 - y. What is the third biggest value in m, j, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70, -139, -198, -241, -262, -255, -214, -133?\n\"Answer: c**3 - c**2 - 73*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140921796 and 167964.\nAnswer: 140921796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 11. Let w be c(-6). Let m(j) = -3*j**2 - 2*j + 2. Suppose 44 = 1855*o + 1017 + 2737. Let p(k) = 7*k**2 + 5*k - 5. Calculate o*p(x) + w*m(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 6*m + 3. Let r be (24\/(-14))\/((-4)\/14). Let y be k(r). What is the tens digit of 1\/1*(15 + y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 871 + -861.71. Let h = -9.28501 + p. Round h to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (20*2)\/4 - -3. Suppose 6*z - 47 - 7 = 0. Suppose -z*h + 3042 = 9*h. Calculate the greatest common factor of j and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one quarters of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -677, -680, -679, -668, -641, -592, -515, -404?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/26 and 57\/58.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*b - 12 = 0, -4*r = 3*b - 8*b + 20. Solve r = 6*h - 4*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -112*k - 16487. Calculate o(-147).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 375987500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 964, 3786, 8468, 15010, 23412?\n\"Answer: 930*g**2 + 32*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007472808532 rounded to seven decimal places?\nAnswer: 0.0000747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000111110010110001 (base 2) to base 7.\nAnswer: -16432450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 408 - 238. Let p be (36\/24)\/((-114)\/8). Which is the second biggest value? (a) i (b) 5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 65\/(-260) + (-3289)\/(-4). Suppose -2*h - 5 = 5, -2*r - 4*h = -136. Suppose 4*w + r - v = 0. List the prime factors of w.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*j + 5*o, -3*j + o + 66 = 4*o. Let w = 69 + -47. Calculate the lowest common multiple of j and w.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2. Let d be q(-2). Let n(u) = -32*u + 206. Let l be n(8). Let s = -49 - l. Sort d, -1, -5, s in ascending order.\nAnswer: -5, d, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -3\/4, 2\/23, 2\/19?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/714 and -45\/2618.\nAnswer: 7854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5440 and 2599776?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**2 - 52347*f\/4 + 6543\/2 = 0.\nAnswer: 1\/4, 4362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422950 divided by 4.\nAnswer: 211475\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 0)\/((-6)\/(-4)). Suppose 5*r - m - 25 = -2*m, r + 2*m = -l. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(4\/(-1)) + -2. Suppose -6*g - 2652 = -k*g. Suppose -10*c + 2354 = g. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from svz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -15) + 75 + -66 + -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/9)\/(17 - (-28496)\/(-1677)). Solve -18*y - 79 = -s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3727 - -3862. Solve -14*p - 13*p = -w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 + -28. Let h = 47 - j. Let i = 8 + h. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (667 - 614 - (58 - -1)) + -73 + 2\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/76 - (-1142)\/(-19). Let l = 64 + k. Let t = 1 - 0. Sort -4, t, l in decreasing order.\nAnswer: l, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.94 - -5. Let p = g - -4.94. Suppose -12 = -0*o + 4*o. What is the closest to 0 in -0.4, o, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6*60\/(-88) + (21 - 21) and -56\/219?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 30*u + 102. Let f be s(33). Solve -13*d + f*z + 3 = -16*d, -z = -4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -5\/2, -1, 9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)*9\/(-3). Let p be h\/1 - ((-12)\/(-3) - 2). Solve 3*l = -4 + p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 7.8, 0.2, 1, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 36\/15 + 3\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845296 is divided by 922634?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 43 + -44 + (2 - (-1 + 53)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, 15, 57, 123, 219, 351, 525?\n\"Answer: f**3 + 3*f**2 + 8*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1012 and 776336?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 78 = 62*l. Let y(a) = a**3 + a. Let k(b) = -4*b**3 + 2*b**2 + b. Calculate l*y(t) - k(t).\nAnswer: t**3 - 2*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/7, -4, 3.3, -3 in decreasing order.\nAnswer: 3.3, 1, 2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/9)\/(3*2\/24)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -292, 5\/6, -0.68?\nAnswer: -292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + -1*sqrt(133))*-1 - sqrt(133))\/((sqrt(252)*3 - sqrt(252)) + sqrt(252) + sqrt(252)).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 2\/21 (c) 2\/3 (d) -0.1 (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 132. Let q = l + -133. Let u be (-7)\/((-15 - q)*(-1)\/37). What is the greatest common factor of 37 and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 20*c**2 + 36*c - 5. Let j be w(-18). List the prime factors of ((-14)\/j)\/(26\/455).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3760 - -5?\nAnswer: -3753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 79 - (8 + 39) - 70\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-99)*(139104\/280)\/(-23)*(-5)\/2.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 2, z: 2, u: 2, r: 4, i: 1}. Give prob of picking 2 u and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -307*d - 20922. Calculate n(-71).\nAnswer: 875","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -21. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/(3\/(-18)). Let l = b - 2. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(15\/276) + -2. Let q = r - 0. What is the common denominator of q\/10*10\/12 and -15\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31006070.\nAnswer: 2, 5, 23, 113, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13213000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685 = -4*t - k + 629, -5*t = 4*k + 81 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 44\/5 of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide -3 - (-46878)\/(9 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**2 + 42*r - 164. Let h be y(-10). Solve -v - 2*f = -2, -h*f = 2*v + f - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 20 = -3*h + 11, 43 = 5*h + t. Let r(y) = -y**2 + 10*y - 6. Let q be r(h). Sort -4, 1\/5, q in decreasing order.\nAnswer: q, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14307 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 502 and 24.\nAnswer: 6024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 8*g = -72. Let s be (-42)\/(-54) + 4\/g. Is s at least as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - s + s)*(3*s**2 + 0*s**2 + 0*s**2)*(68*s - 8 + 2 + 4).\nAnswer: -816*s**4 + 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -38. Suppose -n - y = -3*n. Suppose 0 = 5*r + 4 - 14. Solve 20 = n*k - r*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*x + 21. Let d(p) = -7*p**2 - 2*p - 1. Let b be d(-1). Let j be 33\/9 - (-4)\/b. Solve 20 = -5*i, j*f = -4*i - 2 - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(832) + -1*sqrt(832))*4 + 2)*2 + 0 + 0)**2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 1, b: 2}. What is prob of sequence sb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4390581 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -258567740.9 rounded to the nearest 10000?\nAnswer: -258570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34065 is divided by 1056.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**4)\/p))\/p**5)**(7\/5)*(p\/p**(1\/6))\/(p*p**(-7)*p)*p**(-5\/2)\/(p**(-2\/5)*p) assuming p is positive.\nAnswer: p**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 490\/42)*-15. Let s = -0.23 + 2.83. Let g = -3 + s. Which is the smallest value? (a) g (b) -9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-9) - -1663*(-30)\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 - 112. Find the third derivative of k*g**2 + 8*g**4 + 12*g + 1220*g**3 - 1220*g**3 wrt g.\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 4:31 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43\/167 or 0?\nAnswer: 43\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + -91. Suppose -4*s - 3*f = 2*f - 31, -s + 4*f - 8 = 0. Suppose 3*n + 5*d - 95 = s*d, 4*n - x*d = 152. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25004\/5 > -155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((6 - 3 - 2)*(1 - 2 + 0) - 5 + 2 + 2)*(-24714*m**2 + 24714*m**2 + 815*m**3) as y + n*m + l*m**2 + h*m**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -5, -1760 in descending order.\nAnswer: 3, -2, -5, -1760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 - 2*v**3 + 130*v - 60*v - 4*v**2 + 3*v**3 - 69*v + 0*v**3 as k*v**3 + h*v + j + m*v**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119048 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2913673 decades in years?\nAnswer: 2.913673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00204897 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z - 81. Let u be t(4). Which is the closest to u? (a) 4 (b) 1\/2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-110)\/(-5) + (1551 - 1656).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let r be x(4). Let v be -3*(-1)\/6*r. Suppose 8 = v*m - m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 988 + -981. Let z = 19\/28 + -1\/4. Which is the biggest value? (a) z (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5792\/7 or 826?\nAnswer: 826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -6 - (-6789 - (20 + -11)) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11169, 7, -3.\nAnswer: -4, -3, 7, 11169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 370 + -214. Let b be (-4)\/28 + (1 - (-204)\/15)\/((-511)\/(-1825)). Calculate the highest common factor of n and b.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 21*z + 4*z + 24 + 35*z - z**2. Is 18 a factor of q(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21295*j**5 + 1647*j**2 + j - 1 wrt j.\nAnswer: 1277700*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -17. Let i = -9 - n. Let s = 8 - 7.9. Which is the nearest to s? (a) -0.1 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -44*c + 12. What is the hundreds digit of d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**(-24)\/(j\/(((j*(j*j*(j**(2\/17)*j*j)\/j*j)\/j)\/j)\/j*j)*(j\/(j**16*j)*j*j*j)\/j) assuming j is positive.\nAnswer: j**(138\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2346358083 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*d = 27105, -215*h + 45155 = -210*h - 5*d. List the prime factors of h.\nAnswer: 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let s(o) be the second derivative of 1 + 2*o + 0*o**2 + 43\/2*o**3. Give s(r(c)).\nAnswer: -129*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16693 = 3322*u - 105908 - 392 - 46429 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3\/7 - 74953310*j**2\/7 + 749533250*j\/7 - 1873833250\/7 = 0.\nAnswer: -37476665, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -579, -542, -445, -258, 49, 506, 1143?\n\"Answer: 5*g**3 + 2*g - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/72*10\/(-3) and -15 - -23 - (-906)\/(-120).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (3 - 6))\/(-1)*1. What is the nearest to 0.1 in w, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 17 + 233*h - 1685*h)*(2*h - 2*h - h**3).\nAnswer: 1452*h**4 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*h**2 + 2)*(8 - 8 - 4*h**2) + (2*h**3 - 4*h**2 + 4*h**2)*(3*h + 0*h - h) + 103*h**4 - 57*h**4 - 66*h**4.\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 8 + (2 - 0) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((48\/(-6))\/(-8)). Solve -9*g = -n - 10*g + 7, -2*n + 5*g = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*w - 11557 = -9237 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -2dda?\nAnswer: 2dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 5*o**2 + 7*o - 2. Suppose h + 2 - 7 = 0, -5*s = 2*h + 620. Let v be s\/(-14)*4\/3. Suppose 0*p = 2*p + v. What is c(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61, -102, -141, -178, -213?\n\"Answer: h**2 - 44*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383720051 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + z - 45 = 0, 9*m = 4*m - z + 77. Let a(r) = 10*r**2 + r. What is the remainder when a(3) is divided by m\/(3 + 35\/(-15))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 50*b**2 - 40. Let w be (-55)\/(-66)*(-13 + 19). Let c(n) = -n**2 + 1. Determine w*y(t) + 200*c(t).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**3 + 5*q**2 - 132*q - 291. Determine d(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8*y = 533547 - 533631, -3*y - 9 = 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1856 = -10*v + 6*v, 3*v + 1390 = 4*l. Let a = v + 538. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/20 + 4\/10. Suppose 4*x = 4*i - 84, -r*i = x - 3*x - 42. Let s = x - -42. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5979727\/11 at most as big as -543611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 4 + -1 + (3 - (1 - 16))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008257605 to six dps.\nAnswer: -0.008258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 272, 540, 808?\n\"Answer: 268*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/(-2))\/(27\/54). What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-10 + 14 - 0)) + 1 + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*r - 406*r = -31 - 169 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p*p**(2\/9)\/p)\/p)**15*((p\/p**15)\/p)\/(p\/p**(-14)))**(43\/4) assuming p is positive.\nAnswer: p**(-1505\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**5\/210 + f**4\/42 - f**3\/21 - 5*f**2\/2 + 14. Let m(r) be the second derivative of n(r). Factor m(w).\nAnswer: -2*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15528\/(-12940))\/((-6)\/100)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = 10 + 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:43 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0482 - 1.5982. Let l = -1.47 - f. What is the third smallest value in -3\/7, -3, 2\/23, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -26*m. Let t(a) = 583009*a**2. What is t(v(i))?\nAnswer: 394114084*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.3107 millennia in decades?\nAnswer: 13331.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -203, -260, -383, -596, -923, -1388, -2015?\n\"Answer: -4*o**3 - 9*o**2 - 2*o - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 966 divided by 42\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 + 6 + (20 - 15) + -26 + 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 19*g. Let f(q) = -5*q**2 + 3*q + 3. Let s(h) = -4*h**2 + 2*h + 2. Let r(l) = 2*f(l) - 3*s(l). Determine r(v(u)).\nAnswer: 722*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(sqrt(112) + -1)*-5)**2 - (1 + (1 + 1*sqrt(112))*1)**2.\nAnswer: -6016*sqrt(7) + 70784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3023930 is divided by 25411?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(((-1200)\/(-375))\/8).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/11 + 1573428*v**2\/11 - 7867098*v\/11 + 572152 = 0. What is v?\nAnswer: 1, 4, 786709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqz when three letters picked without replacement from qqqqqqqqqqqqqqqqzqqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7745 + 3.77472623. Round o to 6 decimal places.\nAnswer: 0.000226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5 + 0)*(-3*a + 5*a - 3*a - a - 1 + 1 + (1 + 0 + 1)*(2 - 2 - 2*a) - 2*a + 3 - 3)*(9*a + 5 - 5).\nAnswer: 1224*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**8\/336 - x**6\/40 - x**5\/30 + 2*x**2 - 1. Find k such that a(k) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 556 and 278?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmmttt. Give prob of picking 2 t and 2 m.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 - 2*r**2 - 3*r**2)*(4*r - 2 + 2) + 8748 - 67*r**3 - 8748.\nAnswer: -63*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 466875.2 grams?\nAnswer: 466875200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y. Let t(g) = 9*g. Let l(a) = 7*t(a) + 5*v(a). Let x(u) = 280 - 139 + 8*u - 143. Calculate l(x(h)).\nAnswer: -16*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251 - 416 - 6463*c + 165 to l + r*c and give r.\nAnswer: -6463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i - 4. Let p be n(6). Suppose 5*q = p + 14. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 15*n + 28 = 11*n, -h + 3*n + 17 = 0. Factor -1\/2*d**3 - d**4 + 0 + 0*d - 1\/2*d**5 + 0*d**h.\nAnswer: -d**3*(d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -q - 2881 + 20525, -4*q = -3*r - 70474. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -808*d**4 - 66*d**3 - 108916*d wrt d.\nAnswer: -9696*d**2 - 396*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + q + 1. Let r(s) = -24 + 25 + 0*s**3 + 3*s**3. Let p be r(-1). Let a(z) = z**3 + 2*z + 2. Give p*u(l) + a(l).\nAnswer: l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/3, 5, 2\/7, 19\/3251?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -3, -4, 44\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56.5 - 35. Let c = z - 21.597. Let b = c - 1.983. What is b rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (14 - (-11 - -26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:37 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nasszzmanvzanzamvs. What is prob of sequence msaa?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2145 and 53\/2145?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 - 6*v + 1. Let n(c) = -6*c**2 + 7*c - 1. Let q(s) = 3*n(s) + 4*o(s). Let b be q(2). Factor 4*j**2 + j - 3*j - j**b - j**3.\nAnswer: -2*j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 (base 16) in base 3?\nAnswer: 202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*h - 4. Suppose h*z + 10 = 4*l - 6, 4*l = -3*z + 36. Suppose q + 121 = 2*j, l = -0*q - 2*q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*g - 27 - 5 = -2*f, -56*g - 392 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 0.1 (c) -9\/11 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 2385\/216) + -1 + 15.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5\/2 + 597*s**4\/2 + 13944*s**3 - 105270*s**2 - 1436976*s - 3246048 = 0.\nAnswer: -102, -4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*z - 25938 = -221*z + 452*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404 (base 5) to base 15.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**3 + 2045783*i**2 + 70411734?\nAnswer: 3*i**2 + 4091566*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 2*w + 3. Let d = 97 + -93. Suppose 7*l - d*v - 31 = 2*l, 0 = -l + v + 7. Calculate j(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 482408681*k*p + 11991285*k - 19 wrt p.\nAnswer: 482408681*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.589999858 - 0.59. Round w to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) - ((-266)\/21)\/(-19)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 - (-9 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 31*((-4 - 1) + 4). Let l = 27 + g. List the prime factors of 136\/36 + l + 346\/18.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1152805000 to the nearest one million.\nAnswer: -1153000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k**2 + 3 - 17*k - 1 - 5)*(14*k**2 + 9*k**2 + 4*k**2) as a*k**4 + z*k + t*k**3 + g + w*k**2 and give w.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 2. Let l(u) = u - 3. Let i(o) = 5*l(o) - 6*s(o). Let b be i(-3). Suppose 0 = -3*a - 2*p - b*p + 1, 3*a + 5*p = -11. Solve 7*f + 20 = a*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-9)\/x**2)\/((x*(((x\/((x*x**(1\/3)*x)\/x)*x)\/x)\/x*x)\/x)\/(x**(-9)*x)))\/(((x*x**(2\/7))\/x)**(-46)*x**(-1\/9)*x**(-2\/11)\/x*x) assuming x is positive.\nAnswer: x**(-3625\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i**3 - 61*i**3 - 44*i**3 + 20*i**3 - 72*i**3 - 20*i**3.\nAnswer: -164*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53791 + -843. Let i = z - 52951.4199. Let d = 0.0501 - i. What is d rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 7*s + 1424 = 0. Suppose 1928 = 5*d + 4*w, 5*d - w = 1562 + s. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -95*z**4\/12 - 438*z**2. Let d(y) = -y**2. Determine d(t(h)).\nAnswer: -36100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-22) - (-3)\/(-11)*-514 is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(36*o + 27*o - 21*o) + (-2 + 2 - 2)*(-5*o + o + 2*o).\nAnswer: -80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, f: 3, q: 4, c: 9}. What is prob of picking 2 f, 1 s, and 1 q?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 15) to base 5\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 - 201 - 12*y + 657 - 5*y - 280.\nAnswer: -17*y - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 187, 238, 307, 400, 523?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287519, 287359, 287199, 287039, 286879, 286719?\nAnswer: 286559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, x: 2, c: 7, p: 5}. Give prob of sequence xcr.\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*y**4 + 2640*y**3 - 35888*y**2 + 27456*y - 5408.\nAnswer: -2*(y - 26)**2*(5*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -467.4 times 297?\nAnswer: -138817.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, m: 3, p: 5}. What is prob of sequence pp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -132, -3\/8, 1\/28, 7, 1, 0.5, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 382974 and 263262.\nAnswer: 579439662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(-1*6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 6. Let j be t(-2). Suppose 5*b - b = 0. Suppose -l - j*l + 315 = b. What is the remainder when l is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) + -1)**2 + 1 - (4*(sqrt(156)\/sqrt(3) + sqrt(52)))**2) + -1 + -1 + sqrt(6292) + (sqrt(6292) + -1 + 3)**2.\nAnswer: 106*sqrt(13) + 3020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*h**2*i**5 - 7*h**2*i**2 + 12*h**2*i + 19*h*i**6 wrt i.\nAnswer: -780*h**2*i**2 + 2280*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z**(-1\/3)*z**0\/z*z\/(z\/((z**(-2\/5)*z)\/z)*z) assuming z is positive.\nAnswer: z**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -3*m**5\/5 - 5*m**4\/4 + 5*m**3\/3 + 5*m**2\/2 - 2*m + 138. Suppose u(l) = 0. Calculate l.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112652536 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3 + 20*u**2 + 95*u + 70 = 0.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + sqrt(272) + 3)**2 + 2 + -4 - 4*(sqrt(68) - (-3 + (2*sqrt(68))**2)).\nAnswer: 40*sqrt(17) + 2171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4749255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + 1. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5497821 is divided by 510.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 9635 = 21841. List the prime factors of w.\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 4*j**2 + 15 - 5*j**2)*(-j + 5 - 5).\nAnswer: 2*j**3 - 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6280118 divided by -241543\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2620?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 14*h**2 - h - 4. Suppose -5*s = -17 + 2. Let l be r(s). Calculate the highest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10882 + 23238. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 57 = 3*b + 2*k, -24 = 3*b - 3*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001561584 to 7 decimal places.\nAnswer: 0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2711436 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 796613 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10040 and 712.\nAnswer: 893560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10596822 = q, 4*q + 7*v - 2*v - 42387233 = 0. Suppose -2*r - q - 40203198 = 0. Round r to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 14 = -38. Calculate the highest common divisor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nysy when four letters picked without replacement from {s: 1, y: 4, n: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(1088) - sqrt(1088)) + 5) - ((sqrt(1088) - (sqrt(1088) - (0 + (-2 + sqrt(1088) - sqrt(1088)) - sqrt(1088) - sqrt(1088)))) + -3)**2.\nAnswer: -4373 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/21)\/k*k)**(-1\/10)*(k\/(k*k**(-5)))**(-2\/27))**47 assuming k is positive.\nAnswer: k**(-42629\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 9*d**2 + 2*d - 18. Let m be u(9). Suppose z + y - 6 = m, -28 - 10 = -3*z + y. Calculate the remainder when 54 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 390*g - 680*g.\nAnswer: -1070*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18357410171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 23*j = 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, c: 7}. What is prob of sequence cc?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9398*0.704\nAnswer: -6616.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3799.6l in millilitres?\nAnswer: 3799600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552527 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -122?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j. Let l(y) = 9*y - 25. Give 4*g(f) - l(f).\nAnswer: -f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-3)\/(sqrt(7) + -6*sqrt(21)\/sqrt(3)) + (-2*2*sqrt(891) - (0 + sqrt(891) + -3)) + 1.\nAnswer: -219*sqrt(11)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2999, 3, -3\/4?\nAnswer: -2999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose s - z = -0. Let d be (1 - 1)*(-2)\/s. Solve d = 4*i - 3 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(6\/(-44) + 0). Let u be (2\/4)\/((-1)\/g). Let n be (-4)\/(-6) - u\/(-15). Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -98\/11, -0.6, -2213?\nAnswer: -98\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59655\/8 - 7446. What is the common denominator of a and -41\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 209*m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1636*f - 3256. Calculate the remainder when 230 is divided by d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124938698 and 15742.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -533, -1832, -4373, -8570, -14837, -23588, -35237?\nAnswer: -50198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3138143 and 7567.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001001010 - 10?\nAnswer: 11001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5862*s = 6221*s + 18668 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 633 - 605.05. Let u = d - 28. Round u to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0904119 rounded to 3 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67733516 a multiple of 966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1600 + 18101 = -569*a for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 100*h**3 + 21*h**3 + 79*h**3 + (-2 - 1 + 1)*(-2*h**2 - h**3 + 2*h**2) - 4*h**3 + 3*h**3 + 2*h**3 - 2*h**3 - 2*h**3 + 2*h**3.\nAnswer: 201*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*z**3 - 465*z**2 - 1368*z + 108.\nAnswer: -3*(z + 6)**2*(13*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 + 44*t**2\/5 - 503*t\/5 + 92.\nAnswer: -(t - 23)*(t - 20)*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -1 (c) -14.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 3. Let l = j - -7. Suppose 0 = 2*p - 10 - l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36688973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -9*h**8\/112 + h**5\/20 - 98*h**3\/3 + 1168*h**2. What is the third derivative of v(j) wrt j?\nAnswer: -1620*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/43 and 87\/344.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1ce237 (base 15) to base 4\nAnswer: -11121113203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -6) + 149 + -156. Sort q, 1, 343, 5.\nAnswer: q, 1, 5, 343","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 33 - 5 + 24*p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from adddddjddaaddaay.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 18304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2. Let h(z) = -7*z - 1. Let a(i) = -136*i - 20. Let w(f) = -2*a(f) + 40*h(f). Give r(w(m)).\nAnswer: -128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.6 - 12. What is the smallest value in o, -0.2, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35445 (base 7) in base 15?\nAnswer: -2a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - j)*(-6*j**3 + 3*j**3 + 5*j**3) + (-2*j**3 + 0 + 0)*(4*j - 3*j - 2*j)*(-10 - 12 - 1).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111001101 + -120220?\nAnswer: 110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 + 34 - 3)*(g**4 - 4*g**4 + 4*g**4) to n*g**3 + v*g + u + j*g**4 + t*g**2 and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45516 divided by 2.\nAnswer: -22758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27262098 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -2, -1, -4, -474 in descending order.\nAnswer: 1, -1, -2, -3, -4, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.736 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348770.\nAnswer: 2, 5, 334877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5\/3 + 56*r**4 - 3178*r**3\/3 - 14612*r**2\/3 - 6336*r - 7744\/3 = 0?\nAnswer: -2, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*q - 3 = -216*q + a, -a = 4*q + 24. Let n(b) = -b**2 - 9*b + 7. What is n(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3576 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Let k = -6 - -5. Which is the closest to -0.1? (a) -1\/4 (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-6) + 20\/15\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/2)\/(27\/36*(-32)\/2352). Solve i = -19*f + 33*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1106*a + 1113*a + 199 + 1297*a - 199 + 1112*a - 4629*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 4, 59 in increasing order.\nAnswer: -1.4, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*q - 7188 = 3824 + 1798 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 2*a - 9, -3*b - 4*a + 6 = 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*k + 98, 5*k = 4*m + 151 + 36. Let a = m - -72. Calculate the greatest common divisor of a and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/896 and -7\/575040?\nAnswer: 8050560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (-21)\/((-210)\/395)) + 22\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13200044034 + -30?\nAnswer: 13200044004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-15))\/2)\/((-2704)\/240 + 11).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 66 = 60 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*1082252\nAnswer: 2380954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.007 in -4, -0.1, 5.4, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 - 455. Let b = s - -2679. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30789?\nAnswer: 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 + m**3\/2 - 5*m**2\/2 - m. Let k(x) be the second derivative of -x**3\/2 + 8*x**2 - 13*x. Let r be k(7). Give s(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from yylyyl.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s. Suppose y + 8 = -3*y. Let a(v) = v - 2. Let l(p) = 0 + p - 2*p + 3. Let d(m) = y*l(m) - 3*a(m). Give d(x(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (378\/(-45))\/(2\/(-10)). Put k, -4, 1 in descending order.\nAnswer: k, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 30*u + 104. Let w be p(33). Which is the closest to -1? (a) -4 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.787017mg in grams?\nAnswer: 0.008787017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iagz when four letters picked without replacement from biiaaaaaibgziaiazii.\nAnswer: 49\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*v + 6*v - v)*(-2 + 0 + 5) - 2*v - 4*v + 7*v)*(3 + 2*v - 3).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 55, 63, 71, 79, 87?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18642831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 22 = 8*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/198 + (-100)\/55 + 2. What is the second smallest value in 3, 4, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350214 and 1575963.\nAnswer: 3151926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -2*m**3\/39 + 4*m**2\/13 - 8*m\/13 + 7. Find u, given that h(u) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h + 32. Let o(y) = 7*y - 11. Let p(g) = 5*l(g) + 14*o(g). Let w be p(-4). What is the common denominator of 78\/(-20) + -11 + w and 21\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Let t(i) = 59 + 107*i - 59 - 98*i + 12*i**2 + i**2. Let j(l) = l**2 - l. Let z(g) = p*j(g) + t(g). What is the second derivative of z(f) wrt f?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (484\/286)\/11 + 100\/26. Let q(l) be the first derivative of 15*l**5 - 24 - 24\/5*l + 78\/5*l**2 - 15\/4*l**j - 18*l**3. Factor q(p).\nAnswer: 3*(p + 1)*(5*p - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -34*k**2 - 3*k. Let x(s) = -102*s**2 - 10*s. Suppose 0 = -42*l + 221 + 199. What is l*o(i) - 3*x(i)?\nAnswer: -34*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Let t(h) = 65*h - 1. Is t(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2237 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + 2*i**4\/3 + 5*i**3\/6 + 3*i**2 + 129*i. Calculate o(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94.26 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 55 = -2*q + 6, 5*q - 22 = -n. Does 8 divide n + -1*4\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 5*r - 5. Let m(h) = 2*h**2 + 8*h + 8. Let f = -100 + 92. Calculate f*o(u) - 5*m(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.35299 - 19227.\nAnswer: -19223.64701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2430)\/(-28) - 12\/8. Let c = 285 + -200. Let o = c - i. Is -1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**2*o*r + 49*j**2*r + 2*j*o*r - 9*j*r + 9*j wrt j.\nAnswer: -10*o*r + 98*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a millennium?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 65*h**2. Let q(s) be the first derivative of s**3\/3 - 14. Determine q(m(j)).\nAnswer: 4225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-792)\/(-63))\/11?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdaf when four letters picked without replacement from {a: 1, w: 1, c: 1, d: 1, m: 2, f: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w + 22*w - 16*w + 30*w - 2.\nAnswer: 83*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0*(-1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13677 - -29244. List the prime factors of j.\nAnswer: 3, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 16. Let u = -4 - z. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (373*y + 245*y - 285*y)*(-37*y + 37*y - 2*y**2) + y**3 + 0*y + 0*y as n*y**3 + d*y + h*y**2 + m and give n.\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310553.\nAnswer: 310553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 8*k**2 - 7*k + 2. Let x be c(7). Let b be -2*x*6\/(-12). Factor -5\/2*p**b + 3\/2*p**3 - 2*p + 2.\nAnswer: (p - 2)*(p + 1)*(3*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - 0. Let q = 5 - 6. Let g = 1 + q. What is the third biggest value in 0.5, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 98*h**2 - 540*h + 4. Let u(m) = -396*m**2 + 2159*m - 12. Let k(r) = 9*c(r) + 2*u(r). Determine o, given that k(o) = 0.\nAnswer: 1\/45, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715725587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 124?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -29272200 rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 26*j. Let i(s) = -1186*s**2. Calculate a(i(o)).\nAnswer: -30836*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2)*x)\/x*x*((x*(x**(-2\/9)*x)\/x)\/x)\/x*x*((x**1*x*x)\/x)**(11\/5)*(x**(-1\/3))**(-50)\/(x**(-1\/4))**(-8) assuming x is positive.\nAnswer: x**(1028\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 141 = 4*a, 10*b - 15*b - 140 = 5*a. Find the common denominator of -7\/24 and b + 24 - 370\/(-48).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1810 * 47.\nAnswer: 85070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522 by -3.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z**2\/5 + 2*z\/5 = 0.\nAnswer: 0, 1\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**4\/12 - 3*u**3\/2 + 2*u**2. Give c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5597006 to the nearest integer?\nAnswer: 2366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-10)\/((b\/(b*b\/(b*b**(10\/7))))\/b)*b**(-8\/9)*b**18 assuming b is positive.\nAnswer: b**(421\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 214?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -606, -2096, -4550, -7962, -12326?\nAnswer: -17636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y**3 + 15*y**3 - 98*y**3 + 36*y**3 + 4*y.\nAnswer: -3*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-344)\/1320 + (-16)\/(-20)*13\/52?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 187*y**3 - 3*y + 2. Let u be v(1). Suppose 5*b - f - 186 = 2*b, -4*f + u = 3*b. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*b - 25. Suppose 0*a = -5*a + 145. What is the remainder when a is divided by 0 + (0 - b\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f. Let t(z) = 7*z**2 - 4*z. Determine k(r) - t(r).\nAnswer: -6*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 139652 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-12)*7\/(-63)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 18. Let d be l(-9). Let h = d - 7. Solve -x + 3 = h*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*j + 28 = 3*r, 4*r - 22 = j. Let d be (-4)\/r + 12\/9. Let l be 2\/13 + (-20)\/299. Which is the second biggest value? (a) l (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -32. Suppose 6696 = 100*m - 7704. Calculate the highest common divisor of s and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850923 - -2.56416?\nAnswer: 3850925.56416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12206.\nAnswer: 2, 17, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -70 (b) 0.04 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3174, 6888, 10602, 14316?\n\"Answer: 3714*b - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/7*i**4 - 1872\/7*i + 590\/7*i**2 - 2511\/7 - 48\/7*i**3 = 0. Calculate i.\nAnswer: -1, 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-80)*10\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*r)*(-2 + 0 + 1) + 2 + 5 + 6*r - 3 in the form p + y*r and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -9446 less than or equal to -9446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29075, 15, -5 in increasing order.\nAnswer: -29075, -5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -905.959 times 331?\nAnswer: -299872.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -272? (a) -0.3 (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 + 24320*s**3 + 48544*s**2 - 486144*s + 583488 = 0. What is s?\nAnswer: -6078, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by -2 + 13 + 4 + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3727741, -3727740, -3727739, -3727738?\nAnswer: -3727737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 159. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 0 + 0)*(-56*p**4 + 25*p**4 + 83*p**4 + (-3*p**3 + 3*p**3 + p**4)*(3 + 0 - 1) - 4*p**4 + 5*p**3 - 5*p**3).\nAnswer: 150*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -8?\nAnswer: -105\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjijjjjjjjijjjijj. What is prob of sequence iij?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y**2 + 24*y + 3 + 107*y + 10*y**2 + y**2 to the form m + o*y**2 + f*y and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*t**4 - 4*t**3 - 2*t**2 + 75656*t?\nAnswer: -228*t**2 - 24*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1594671*m**3 + 4508605*m wrt m.\nAnswer: -9568026*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -4 (c) 1232 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2860308.\nAnswer: 2, 3, 11, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, 14, 96, 274, 584, 1062, 1744, 2666?\n\"Answer: 6*m**3 - 6*m**2 - 2*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76800*q - 3010*q**2 + 1343*q**3 + 76799*q + 2635*q**3 wrt q.\nAnswer: 23868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 630*c**2 + 1911*c - 1278.\nAnswer: -3*(c - 2)*(c - 1)*(c + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220010220 + 221?\nAnswer: -1220002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 33436?\nAnswer: -33431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) -3\/5 (c) -13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.024 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/20 - 7*t**4\/8 - t**3\/3 - 6179*t**2. Let r(f) = -f**2 + f + 1. What is b(d) + 2*r(d)?\nAnswer: d**2 - 19*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4 + 3*t + 4. What is the derivative of c(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c + 45. Let d be 394\/c + -2 - (-8)\/36. Let l be (-2)\/(-1)*(-2 + d\/12). Solve -4*g = -7 + l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*v, -260*g + 263*g + 7 = 2*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((10\/3)\/(-5)). Suppose 4*d + 3*c = 30, -2*c = -z*d + c + 12. Let n be (-2 - -3)*d\/(-69). Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4339 * -0.71\nAnswer: 3080.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12 = -2*r, 2908*r = 2907*r + 4*u + 6 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3\/3 - 6*f**2 - 11*f - 1. Let n be c(-11). Solve -3*b + n*b - 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -39*2\/4*-2. Suppose c = -0*a + a. Suppose 2*k + 3*k - 65 = 0. Calculate the highest common divisor of a and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2198368 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-24)*-4)\/((-1)\/14). Suppose 9 = r - 5*m, 0 = 4*r - 3*m + i*m - 108. Calculate the greatest common divisor of 168 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u + 5*u - 6*u - 6 - 2*u - 2*u. Determine y(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -14*r**2 + 2*r - 2 + 34*r**2 + 11 - 18*r**2. Let a(y) = -y**2 - y - 4. Calculate 9*a(m) + 4*o(m).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12670546 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -842696 divided by -105337\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 8*k**2 + 7*k + 2. Let b be s(-7). What is the third derivative of b*z**4 + 2*z**3 - 6*z**3 + 2*z**2 + 4*z**3 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 114 = -436. What is the remainder when 169 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 1) + (-2 - -2) + -13 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 2\/99, 141, 0.4, 416.\nAnswer: 2\/99, 2\/17, 0.4, 141, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1713*r - 956*r - 937*r + 7200 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:39 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24084 divided by 1.\nAnswer: -24084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 - 967*c**3 + 969*c**3 - 212 + 33.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.613 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6065510 to the nearest one hundred thousand.\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, l: 5, z: 11, j: 1}. What is prob of picking 1 z, 1 l, and 2 f?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -61*k**2 - 2. Calculate i(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620 a factor of 37519080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5966.\nAnswer: 2, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7685 - 504706?\nAnswer: -504691.2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1215) - ((-3*sqrt(1215) - sqrt(1215) - sqrt(1215)) + sqrt(1215)))\/(sqrt(5) - sqrt(500)*1).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*n = 160*n + 141925. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {g: 2, f: 4, y: 4, t: 4, s: 2, v: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 343 + 108. Suppose 3*v = -2*v + 20, -4*v + b = g. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744601 (base 10) in base 3?\nAnswer: 1101211101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1420424 or 1420756?\nAnswer: 1420756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -60, -132, -232?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 66. Let k = 23 - x. Solve 0 = c + k, -5*l + 5*c = c - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylwo when four letters picked without replacement from {u: 1, o: 1, w: 1, y: 4, l: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 48.000001. Round d to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 + 0.14. Let f = 1.3 + j. Let n be (12\/15)\/((-6)\/10). Which is the smallest value? (a) n (b) f (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -69, 3\/7, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 28?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t - 5. Determine k(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**3 - 23*k**2 + 508*k - 3450. Let m be j(7). Let w = -3 - -5. Suppose -2*z + w + 2 = 0. Solve -m = z*s + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/41? (a) -2\/3 (b) -1 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -234007?\nAnswer: -233765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 106\/821449?\nAnswer: 106\/821449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -548 + 560. What is the remainder when 130 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/9 - 771634*x\/9 + 2314740 = 0. What is x?\nAnswer: 27, 385790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36564310 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 61, -1\/3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14075590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*n + 7*n - 17*n)*(2 - 5 + 4)*(n**3 - 3*n**3 + 4*n**3).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 11:37 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 2*i**2 + 22*i + 7. Calculate p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 13. Let w(l) = -4*l**2. What is w(c(i))?\nAnswer: -4*i**4 + 104*i**2 - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b + 17682 + 17831 - 35351 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3608 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 21*s**2 - 23*s + 24. Calculate the remainder when y(-20) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5, -6, 51, -4 in descending order.\nAnswer: 51, 5, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -1\/10 (c) 12 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + o**2)*(2 - 2 + 6*o**3 + (o + 5*o - 4*o)*(5*o**2 - o**2 - 3*o**2)).\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 + 2*b + 1. Let n be a(6). Suppose -n = 5*q - 6*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14040.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggmggggmg. Give prob of picking 4 g.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 1150007028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -223*t + 228*t + m, -2*t - 8*m = -9*m - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2, 11, 3\/89, -7 in descending order.\nAnswer: 11, 2, 3\/89, -1\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 87*u**3 + 18*u**2 - 11*u + 6. Let n(b) = -29*b**3 - 5*b**2 + 4*b - 2. Give 7*n(o) + 2*t(o).\nAnswer: -29*o**3 + o**2 + 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.999972747 to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.39, 4, 1\/6, 0.1, -0.06, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**3 - 3*s**2 - 22*s. Let a(t) = 13*t**3 + 6*t**2 + 44*t. Let j(w) = 2*a(w) + 5*c(w). What is the second derivative of j(p) wrt p?\nAnswer: -24*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 208*p + 1454. Let l be o(-7). Let v(m) = 5. Let u(h) = -5 + 1 + 0 + 0*h - h. Calculate l*u(w) - 3*v(w).\nAnswer: 2*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 50 - 10 = 0. Let z be 2\/g - 33\/(-15). What is the third derivative of 4*h**4 - 3*h**z - h**2 - 2*h**4 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**2\/2 - 9*a - 2. Suppose 0 = 3*c + 5*u - 2 - 15, -5*u = -4*c + 11. Give i(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -256 >= -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1490*l - 958052 = 1422*l. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + d. Let u(s) = 7*s**2 + 3*s - 12. What is -4*p(y) + u(y)?\nAnswer: -y**2 - y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -k - 3*k + 5, -3*k = t - 12. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 - -72. Let i(q) = q - 8. Let d be i(z). Let y = -3 + d. Let u(x) = -x**2 - 5*x + 3. Determine u(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46017 divided by 3.\nAnswer: -15339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 4*y - 4. Let r(x) = -2*x**2 + 8*x - 8. Let l(s) = 2*r(s) - 5*w(s). Determine m so that l(m) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + g = -92, -4*x + 246606*g - 265 = 246611*g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.93 * 6318729.\nAnswer: -5876417.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 5\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + y - 110 = 0, -3*g - 2*g - y = -137. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -8*u**3\/3 + u**2\/2 + 1. Let h(l) = -9*l**2 + l. Let o(s) = 5*h(s) - 6*w(s). Suppose -137*d + 171 = -103. Calculate o(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = -8. Let z(d) = 5*d + 6. Let q(c) = c + 1. Let o(b) = 6*q(b) - z(b). List the prime factors of o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -97, -219, -391?\n\"Answer: -25*u**2 + 3*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 20 - 8 = 0. Let b(j) be the first derivative of -j**2\/2 - 2*j - 8. What is the units digit of b(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5260701\/(-373711))\/((-6)\/(-13))?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1305 divided by -5\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450710 is divided by 2430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v. Suppose -l = -4*k - 1, 4*l - 2*k - 4 = -4*k. Determine g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64592 and 165517?\nAnswer: 2648272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 82373, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111 (base 2) to base 8.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 25252?\nAnswer: -25252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 47 = 4*x - 2*f, 4*x = -f + 47. Suppose 2*l + 1 = -j - x, -2*j - 5*l - 33 = 0. Let i = -54 - -56. Sort -1\/4, j, i in increasing order.\nAnswer: j, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 5. Suppose -17*f + 48 + 20 = 0. What is j(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 7*t + 8. Let p = 41 - 35. Is d(p) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 4, -1, 8593, -41 in descending order.\nAnswer: 8593, 4, 1, -1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2619\/14 + 187. What is the second biggest value in 0.7, k, 3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.0635\nAnswer: 0.0254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3029 or -1?\nAnswer: 2\/3029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v + 0*v + 72*v**2 - 73*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -73. Let b = 213\/4 + z. Factor 0 + 1\/4*x**2 - b*x.\nAnswer: x*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 3339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 124092*h**2 - 962488572*h - 962364484.\nAnswer: -4*(h + 1)*(h + 15511)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 - m**3 - 2*m**2)*(-1 + 2 + 1) - m**3 + 5*m**3 - 3*m**3 + 392*m**3 - 2460*m**2 + 2460*m**2 to the form i + v*m**2 + o*m + a*m**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6623770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r + 39. Let y be s(6). Suppose -2*v + 12 - 8 = 0. Suppose -y*c + 572 = -v*t, 4*c - 4*t - 762 = -t. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 + 457\/5. Suppose s = 1 + 2. Suppose 4*c + 6 = -j + 2*j, 2 = -4*j + s*c. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74291 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 283753223.\nAnswer: 2270025784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1322*b**5*q - b**2*q + 55*b**2 wrt b?\nAnswer: 79320*b**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.26 and -0.05.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -253, -385, -519, -655, -793?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - 3 - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q - 10*q - 2 + 74*q + 13*q + 15*q - 3*q.\nAnswer: 113*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 12*s + 4*s**2 - 12*s - 7*s**2. Let b(c) = -7*c**2. Determine z(b(a)).\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-3065\nAnswer: -3064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.556205 rounded to two dps?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6916\/189395 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -796469\nAnswer: -796468.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + sqrt(8) + -2)*3.\nAnswer: 6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - -8. Let q(v) = -v**2 - 19*v - 34. Let p be q(-15). What is the greatest common divisor of s and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(30\/268) + -9*124\/(-1395).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106993439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from {u: 5, p: 3, k: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22089 + 39849. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffyyggodfgjf. Give prob of sequence jgfy.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364446799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(-3\/10)*v**(-1\/3)\/v**(3\/7) assuming v is positive.\nAnswer: v**(-223\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/517226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*s - 50*s = 1636 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p - 1. Let a(q) = -3240*q - 2098. Let v(o) = -a(o) - 10*m(o). What is the derivative of v(f) wrt f?\nAnswer: 3100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*j = -45, -c - 10*j + 21 = -8*j. Let m = 4 + 3. What is the least common multiple of m and c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k**2 + k + 108. Let h be j(0). Calculate the highest common factor of h and 3051.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 12) in base 8?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y + 51*y - 2 = 0, 0 = 2*r + 3*y - 6. Let t be (1\/(-10))\/(2\/(-24)). What is the smallest value in t, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/6720 and -191\/1680.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-17)\/g*g**(1\/3)*g)**(17\/6) assuming g is positive.\nAnswer: g**(-425\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 160344067 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -776253122*-3\nAnswer: 2328759366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -1225?\nAnswer: -159.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24, 20, 64?\n\"Answer: 44*d - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l + 144. Suppose -5*i = -3*v + 50, -i + l = 2*v - 3*i. Suppose 0*o + 3*o - 114 = 0. What is the remainder when o is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 334860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 17*p - 17. Let y(u) = u**3 - 16*u**2 + 26*u + 14. Let i be y(14). Let j be s(i). Solve 3*m - j = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 2:49 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11662 - 4919. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 0.4 (c) -0.41 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 10*w**2 + 7*w - 12. Suppose 2*s - 6 = 0, 0 = 2*m + 2*m - s + 23. Let b be 141\/(-15) + (-2)\/m. List the prime factors of x(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blblltllb. What is prob of sequence tl?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 38*i - 19858. Determine r(168).\nAnswer: 1982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.53883 + -0.5651. What is b rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6119 - 6119. Solve 10*w - 7*w = -5*m - 31, 4*w - 3*m - 7 = n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/6 + 4*y**3 + 11*y**2 - 14*y + 1. Factor t(v).\nAnswer: 2*(v + 1)*(v + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1544 in -7287, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315684244?\nAnswer: 2, 7, 43, 71, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 668502.3us in seconds?\nAnswer: 0.6685023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u - 28. What is the lowest common multiple of 12 and b(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 - 3*r**2 - r - 2. Calculate the remainder when l(3) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 10*d**2 - 80*d - 73. What is z(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 5*o**2 + 25\/6*o**3 - 25*o + 0 + 5\/3*o**4 + 1\/4*o**5. Solve y(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 519 + -515. Is 142219\/119 - m\/34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 231\/4, -1\/7, -0.2, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77673 and 18.\nAnswer: 466038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((391\/(-34))\/23)\/((-6)\/(-16)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/88 and 23\/11946.\nAnswer: 47784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 134\/(-201) - (-4)\/6. Solve -4*v + c - 21 = -g, -5*g + 33 = -2*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 20*s - 24. Let y(m) = 266*m + 11. List the prime factors of y(s).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0) + (-15 - -24 - 1) + 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22112202100211 (base 3) to base 8\nAnswer: 21246757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -948, -1420, -1892, -2364?\nAnswer: -2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 9.6. What is the third biggest value in -2\/13, d, 1\/2, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3340 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -5 (c) -0.03 (d) 2\/649\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 21 = 11. Solve 0 = -7*d + 11 - m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -278*m - 4674. What is i(-20)?\nAnswer: 886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 - 6*j - 5. Suppose -2*r + 5 = -5*t - 3, -t - 5 = 3*r. Let w(c) = c**2 + c + 1. Let v(q) = r*i(q) - 6*w(q). What is v(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/2808 and -17\/238662.\nAnswer: 37231272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80892, 323596, 728112, 1294440, 2022580, 2912532?\nAnswer: 3964296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 19}. What is prob of picking 1 g and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0088285015 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124701 divided by -3.\nAnswer: -41567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165201972 is divided by 9005.\nAnswer: 9002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 22091520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - g - 3 = 0, 0 = 2*m - g - 3*g - 2. Let s be ((-4 - 1)\/5)\/m. Sort 1, s, 3, -5.\nAnswer: -5, s, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1755 divided by 5\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.266197 - 98637?\nAnswer: -98706.266197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, n: 5, y: 2, h: 4, b: 1}. Give prob of sequence nbn.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 11:41 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**2)\/(h*(h\/h**(-40)*h)\/h))\/(h\/h**(-13))**(-48) assuming h is positive.\nAnswer: h**633","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 205 = -4*l, 2*q + 55 = l + 5*q. Calculate the remainder when l is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12338452.\nAnswer: 2, 7, 67, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1252 + 1263. Which is greater: -11 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 4*k + 7. Let s(i) = i**3 + 5*i**2 - 12*i + 8. Let v be s(-7). Let d be f(v). Let a(g) = -3*g - 1. Determine a(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((330\/(-140))\/(-11))\/(((-96)\/42)\/(-8)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -500, -1249, -2294, -3635, -5272?\nAnswer: -7205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 11 - 1 = -3*g, l - 4 = -3*g. Let i(y) = y**3 + 2*y**2 - y - 3. Let p(v) = 5*v**3 + 9*v**2 - 4*v - 13. Let w(q) = -9*i(q) + 2*p(q). Calculate w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eewrreerrmg. What is prob of picking 2 w and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*((-2 + 2*k + 2)*(2 - 2 + 1) - k - 2 + 2 + 505 - 19*k - 505).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64746 is divided by 605?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veveeeeveve. Give prob of picking 2 v and 1 e.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610537448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89\/(-267)*(-1)\/(2\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2516\/36720*54*20.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, -3\/5, 8, -3\/2, -1.8?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8134756 centuries in millennia?\nAnswer: 0.08134756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 577, 1192, 1855, 2572, 3349?\nAnswer: 4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + -0.06. Let m = 1.160049 + c. Round m to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293732203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + -1 - sqrt(112) - ((sqrt(21)\/sqrt(3))**2 + -2) - (sqrt(84)\/((sqrt(180)\/sqrt(5))\/sqrt(3)))**2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 11) in base 14?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-7))\/10*(130\/2)\/(-13)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 4:36 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8\/5)*p*p**6\/p*(p\/(p**(2\/5)\/p))**(-20\/11) assuming p is positive.\nAnswer: p**(82\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 766575423?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 462, 1974, 4494, 8022, 12558, 18102, 24654?\n\"Answer: 504*o**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -29*v**4\/24 + 47*v**3\/6 + 439*v**2. Let c be 91\/(-14) - (-2)\/4. What is the hundreds digit of d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.96638 (b) 0.1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64655756.77 rounded to the nearest 1000000?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3. Suppose 575 = -252*o + 69*o - 340. Let w = 22 - 14. Let c(t) = -t**3. Calculate o*c(m) + w*b(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/2 (b) 0.05 (c) -3\/20 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -0.46. Let k = -24.912 - 0.088. Let u = k - -24. What is the closest to u in 3, 1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5110 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 12*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((156\/25)\/(-13))\/((-6)\/45)*140\/7.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164716 = -18*b + 44271 + 283817. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-3)\/3*(-15)\/150*60\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 423272 and 1570.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 9. Suppose -2*w + 3*w - 10 = -3*r, 2*w - 11 = -u*r. Let j be (11\/(-3) + w)*(-69)\/46. Let a(z) = -z**2 + 5*z - 1. Give a(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/(-5) + 11\/55. Let y(h) = h**3 + 12*h**2 + 7*h + 15. Let j be y(b). Round j to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*y - 1 - 1 = 0, 2*t + 5*y = 14. Suppose 0 = 2*u + t*u - 4*j - 72, -3*j - 72 = -4*u. Calculate the remainder when 34 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-15)\/(-26) + ((-4)\/24)\/((-29)\/(-87))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ee9 + -8?\nAnswer: ee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 514*m**2 - 658*m**2 + 9 + 7*m in the form l*m + p*m**2 + s and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -17780.3187 and 52.\nAnswer: -17728.3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 1666684.\nAnswer: 100001.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.9, -2\/27, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-134940 - 1) + 12\/(-6). Let s = k + 14943. What is s rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = c - 24, -11*f = 4*c - 8*f - 27. Suppose c*n = -31 + 13. Let l(t) = -2*t**2 + 2. What is l(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 4 - 274*h**3 + 2*h.\nAnswer: -274*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389951 is divided by 963.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29495345 is divided by 702270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208931 by -22.\nAnswer: 208931\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.161685 centuries in millennia?\nAnswer: 0.2161685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623\/445 - (230094\/(-15) - -1).\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 17*y**3 - 29*y**2 + 2. Let k(r) be the first derivative of 9*r**4\/4 - 5*r**3 + 56. Let c(b) = 11*k(b) - 6*x(b). Determine w, given that c(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15437*c**2 - 7701*c**2 - 7941*c**2.\nAnswer: -205*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*t + 2*t + 32 = 0, -2*b - 23 = 3*t. Let h = b - -14. Suppose r - h*r = 0. Solve 4*g + 0*g + 20 = r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24597 + -0.03\nAnswer: 24596.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-149440)\/228)\/(-16) - (-31)\/3534*4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15952*i - 266791 = -15959*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*s + 142*s + 13 = 3*v, 0 = s - 2*v + 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 53*c + 4669. Calculate d(-90).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -8.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1486*i - 2367 - 90 = 1549*i for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7260)\/(-135) - (-4)\/18. Suppose 5*a + c - 37 - 14 = 0, d = 5*a + 4*c. What is the least common multiple of 116 and a?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 649987 to the power of 1\/2, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 527234 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 4*k**2 + 532*k - 532*k. Let n(f) = -2*f. Let z(x) = x. Let p(o) = 3*n(o) + 4*z(o). Determine p(h(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.83 + 0.17. Let w = 208.3 - 198. Let q = i - w. Round q to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 3, q: 6, m: 6, o: 2}. What is prob of sequence rar?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*w - 97, -14*w + 27834*d + 25 = 27831*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 739293293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6))**7\/(g**(-8))**(3\/4) assuming g is positive.\nAnswer: g**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i. Suppose 2 = n - i. Suppose n*d + 4*c = 4, 2*d - 6*c - 49 = -c. What is the least common multiple of d and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Suppose 8*t - 30 = u*t. Suppose -c + t*c = 20. Solve 0 = 5*y - c*s - 30 + 12, 4*s = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 2*p = 504. What is the greatest common factor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8123103, 8123104, 8123105, 8123106, 8123107?\nAnswer: 8123108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.83 to the nearest integer.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -522.53 - -611.446. Let l = x + -89. What is l rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -46. Solve 4*w - d + 6 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmb. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/2)\/(2\/(-4)). Let h be (64\/12)\/((-3)\/p). Let t = h - -23. What is the remainder when 34 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 18\/20 - 1. Suppose -v = -49*b + 53*b - 7, -5*b + 30 = -3*v. Which is greater: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 2:21 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23758 (base 12) to base 6\nAnswer: -1004552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 58*b**2 + 27*b - 32 + 9*b - 62*b**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 97 + 4 + 4*l.\nAnswer: 4*l + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 7*d**2 + 9*d + 28. List the prime factors of a(6).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from iisiiiis?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 + 2.21. Let w = 38986.01186 - 38985. Let q = w - h. Round q to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 - 66. Let b = -38 + y. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115851, 231705, 347559?\n\"Answer: 115854*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2412, -2406, -2400, -2394, -2388?\n\"Answer: 6*o - 2418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 1 + sqrt(252) - sqrt(252) - (3 + sqrt(252) + 3 + sqrt(252))) + -1 + 0 + sqrt(1008) + sqrt(7) + (sqrt(7) - sqrt(224)\/sqrt(8)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.128 - -18.42441. Round u to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/60*-3*(-1)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 24*h**2 + 20*h. Let j(k) = k**3 - 48*k**2 - 39*k. Let m be 1\/(-1 - (-10)\/8). Let n(v) = m*j(v) + 10*a(v). Factor n(b).\nAnswer: 4*b*(b + 1)*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138995 greater than -138996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n - 101*n = -72186. What are the prime factors of n?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*w + 146342, 2*h = -w + 20475 + 52689. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 26*w**2 + 6 + 11*w**2.\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 5, -3, 45, 0, -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 13*a + 2. Let n be i(-11). Suppose -5*f + 7 = -8. What is the remainder when (n\/(-8))\/((-1)\/(-2)) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - 20. Let i be f(4). Is -2*(0 - (-446)\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110072732 to the nearest integer?\nAnswer: 10492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfff when four letters picked without replacement from hhfsfhffhffhffffffh?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -0.1 (c) 1 (d) 47 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -3\/4, -1, -2 in decreasing order.\nAnswer: 2\/7, -3\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47512, -47511, -47496, -47467?\nAnswer: -47424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose -g + 3 = b*j, -2*g + 6 = -0*j - 3*j. What is the common denominator of 101\/2 and 37\/(-16) - j\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Let v = -88 - -91. Sort a, v, 5 in decreasing order.\nAnswer: 5, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5112768 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145280 and 22967860?\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-45)\/4)\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**20\/(y\/y**(-2\/9)*y*y*y*y**(-2\/9)) assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 10*q + 5. Let c be w(10). Solve 0*u - u = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*a**4 + 3*a - 873?\nAnswer: -160*a**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 6*u = 8. Let j(z) = -z**2 - z + 4. Let o be j(-3). Let s be o\/(-8) + (-13)\/20. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 866 = 2*x - 858, 5*x = -4*h - 11. What is the least common multiple of 39826 and h?\nAnswer: 39826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 96743\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19*64\/(-304)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-6 + (5 - 4 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19910, -79589, -179050, -318293, -497318, -716125?\n\"Answer: -19891*o**2 - 6*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -9, 13 in descending order.\nAnswer: 13, 9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 6. Factor 9*d - 14*d**2 - 3 + 0*d**l + 5*d**2 + 3*d**3.\nAnswer: 3*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, q: 15}. Give prob of picking 2 j and 2 q.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 3*z**7\/7 - 28*z**3\/3 - 1. Find the third derivative of q(p) wrt p.\nAnswer: 360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1432, -2867, -4314, -5773, -7244, -8727?\nAnswer: -10222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -5, 1\/36, 8236?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -61. Suppose 3*n = -n + g. Determine i, given that -2*i + 8*i + 4*i**2 + n*i = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5dc5 + 2c?\nAnswer: -5d97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79580 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10)*((-5)\/(-18))\/((-92)\/(-138)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -153247? (a) 0.3 (b) 0 (c) -2 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -142. Suppose h + 4*u = -20, 0 = 7*u - 2*u + 20. Does 14 divide (h\/3)\/((-2)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 20 = 0. Suppose 0 = 4*i - v*i + 2. Is 2\/((-3)\/((-111)\/i)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101.3 and 0.5.\nAnswer: 50.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(63))**2 + -2.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 137*b**2 - 1616*b - 17. Calculate g(12).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2344 + -3662. List the prime factors of p\/(-10) + -3 + (-2)\/(-5).\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146230 - 13752078 = -1247*y + 1111*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29039 is divided by 354.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/19, 319932.6, 1, -1\/7, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336785111 is divided by 6334?\nAnswer: 6331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58.3*0.058\nAnswer: 3.3814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 4. Let u be m(-8). Suppose -u*k + 3*t - 528 = 0, 0*k + 3*t = 5*k + 657. Is -129 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -5. Suppose s + 2*s = -3. Sort f, s, 3 in decreasing order.\nAnswer: 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4269, 4282, 4309, 4356, 4429?\nAnswer: 4534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k + 10. Let m be o(-8). Let x = 1 - 0. Solve n + x + m = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37337107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 48511?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 75 = a, -63*a + 133*a - 76 = 6*f + 65*a for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1651 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -1840, -6419, -15398, -30259?\nAnswer: -52484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 2\/9, -26, -0.5 in descending order.\nAnswer: 1, 2\/9, 0.1, -0.5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q - 1\/3*q**3 - 1\/3*q**5 - 2\/3*q**4 + 0 + 0*q**2.\nAnswer: -q**3*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = -2*n. Let f be 4\/n - (-8)\/12. Suppose -3*q - 3*u + 22 = -u, -f*q = -2*u - 8. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764325.\nAnswer: 3, 5, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8360?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -127 + 110 + 47?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. Let h(r) = 3*r**2 - 4*r**2 + r**u + r**2. Let g(d) = -2*d. Give g(h(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d. Let z(i) = -12057*i**2. What is q(z(k))?\nAnswer: 60285*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12*-1)\/(6\/(-4)). Let o = 458 + -446. Calculate the greatest common factor of d and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6308)\/30)\/(-19) + -11?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003433756144 rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t + t**3 + (0*t - 2*t + 3*t)*(4*t**2 - 2*t**2 + 0*t**2) - t**3 - 2*t**2 + 2*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2352 divided by -147\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 14*c + 0*c + 48*c**2 - 7*c + 55*c**2 as n*c**2 + i*c + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0 + 0*l**2 + 3*l + 0*l**4 - 2\/3*l**3 - 2\/21*l**7 + 0*l**5 + 0*l**6. Find the second derivative of q(m) wrt m.\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -238*s**2 - 214*s**2 + 449*s**2 + 12 - 3*s**2 + 6*s**2 - 4*s**2 + s**2 + 2*s**2 - 5*s**2 + (2 + 0 - 1)*(-2*s**2 + 2*s**2 - s**2).\nAnswer: -7*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 42.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000032715 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 27*q**2 + 27*q - 26. Let o be l(-28). Suppose -3*x = -4*u - u - o, 5*x = -2*u + 55. Suppose -n + x*n - 9208 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -762465992597609\/719414139073 - 72\/436272977. Let j = -1280\/97 - f. Let g = j - 1047. Is 0 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 1. Let o(u) = 9*u - 141. Let g be o(16). Let l be j(g). Solve 2*t + l = -5*n, 4*n + 8 = 4*t - 6*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -989.328 * -0.7\nAnswer: 692.5296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from {r: 1, s: 1, b: 1, y: 5, j: 2, u: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/3 - 34*b**3\/3 - 76*b**2\/3 = 0.\nAnswer: -2, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -908 - -971. What is the greatest common divisor of 77 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = -4. Suppose -399 = -2*b - 41. Let u = b + -179. Sort u, x, 2, 3 in descending order.\nAnswer: x, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a + 15 + 146 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -1\/70*s**7 + 0 + 1\/20*s**6 - 134*s**2 + 0*s**3 + 1\/20*s**5 - s - 1\/4*s**4. Factor m(w).\nAnswer: -3*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/9 - 2)\/(18\/(-12))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m*q*r**3 + 3*m*q*r - 2*m*q + m*r**3 - 2*q*r**2 + 4*r**3 + 16*r wrt r.\nAnswer: 12*m*q*r + 6*m*r - 4*q + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*f = r + 88*f - 2422, 6 = -f. Which is greater: 2445 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 102 (b) -3\/4 (c) -0.2 (d) 0.034\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 3*v**4 - v**3\/3 + v**2\/2 + 16*v. What is the units digit of f(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 - 2.09. What is the third biggest value in -3, 2\/5, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4 + 165*j**3 - 1360*j**2 + 1200*j = 0.\nAnswer: 0, 1, 12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -45*t**5 + 6*t**3 - 56*t + 6. Let z(o) = 44*o**5 - 7*o**3 + 57*o - 7. Let n(y) = -7*x(y) - 6*z(y). Find the second derivative of n(v) wrt v.\nAnswer: 1020*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 25 - 239. Suppose -b - 9 = -3*t. What is the remainder when 72 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-9)\/12 + (-76468)\/(-112) and 186.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 7*z**2 - 2*z + 12. Let h be j(7). Let g be -2 + 9 + h\/(-1). Which is the third smallest value? (a) 1 (b) 1\/10 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 8*f - 120. Suppose 10*g - f*g + 10 = 0. Solve 4*n - g = 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmhmhmmm. Give prob of sequence mmh.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*c + 316*c - 1127 = 0. What is the remainder when 99 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/5 (b) 2.8 (c) 0 (d) 4\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/11 - -179\/99. Suppose 4 = b + 2*v, 1 = -3*b + 2*v + 13. Find y, given that 2\/9*y**3 - w*y**2 + 0 + 2\/9*y**b + 0*y = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -1, 4, 1 in descending order.\nAnswer: 4, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008871719504 rounded to 7 dps?\nAnswer: -0.0088717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 684 + 3?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + -2 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 3. Let v be d(0). Suppose 4*g - v*k + 2 = 0, 0*k + 4*k - 5 = 3*g. Let i(h) = -2*h. Determine i(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - 2) + -4 + 1. Let f be (-3)\/(-3) + (5 - a). Suppose -2*r = 2*j - 18, j - 2*r - 13 = -4*r. Put f, 2, j in decreasing order.\nAnswer: j, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (28 + -27 + 55 + 12 + -1)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169821 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37536*y**3 - y**2 + 90*y - 51 wrt y?\nAnswer: 225216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1590 + -1623 + (2 - 1 - 17)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(-3 + (-21)\/(-9))*(-15)\/(-30). Solve 4*h - 15 = 5*t, 0 = c*h - 8*t + 3*t - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4705 + 4708. Solve -o*c - 23 = -2*z, 3*c - 5 = -10*z + 5*z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by 9.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -7*l + 44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -32*m - 1. Let b(o) = -156*o - 4. Calculate 3*b(k) - 16*f(k).\nAnswer: 44*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*a - 13*a - 432 = 0. Sort a, 5, -3 in ascending order.\nAnswer: a, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 516948.46 less than -3777187?\nAnswer: -4294135.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1727 - 13*w + 15*w - 618 + 313 + 935 to the form q + k*w and give q.\nAnswer: 2357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 62\/1409?\nAnswer: 62\/1409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4717 - -23574\/5. Sort 82, j, -4 in increasing order.\nAnswer: -4, j, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4647 is divided by 656.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**4\/12 + a**3\/2 + 9*a. Factor y(u).\nAnswer: -u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2. Let a(b) = 24*b**2 - 5*b + 1. Let u(q) = 2*a(q) + 2*r(q). Find the second derivative of u(t) wrt t.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 30 - 28 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -271*a**5*i - 7*a**3 + 40672*a**2*i - 830*a*i - 229758*i wrt a?\nAnswer: -5420*a**3*i - 42*a + 81344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-1*-6*(-10)\/(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -850*w - 23. Let g be i(-34). Suppose -8*l + 93157 = g. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*s - 23 = -4*c, 0 = 3*c - 4*s - 24. Solve 5*j + 0*y - 8 = 4*y, 0 = c*j - y - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**3\/6 + 19*y**2\/2 - 8*y. Let b be l(19). Let g = b + 6. Calculate the least common multiple of g and 18.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 2\/7 (c) 1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 7*z - 2 + 5*z - 217*z**2 to d*z**2 + f + w*z and give d.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 2620*n**2 + 167904*n.\nAnswer: 4*n*(n + 72)*(n + 583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 + -127. What is the third derivative of 631*y**v + 2*y**2 + 0*y**2 - 448*y**3 - y**2 wrt y?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 901 = 821 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a. Suppose -o + 25*x - 7 = 20*x, -5*o = 2*x + 8. What is i(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 12:31 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -622, -621, -618, -613?\n\"Answer: b**2 - 2*b - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -1.048058, -1\/3, 1 in descending order.\nAnswer: 1, -0.2, -1\/3, -1.048058, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210 + -30012230?\nAnswer: -30020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 8) + (7 - 2) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85497396 smaller than 85497396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -5*l - 2*s, 3*s = 4*l - s - 68. Let b = l - 13. What is the third derivative of -y**2 - y**5 - y**2 + 2*y**b wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 - 2*b + 6. Let z be o(5). Let x = z - -8. Suppose 2*s + 4*m = m + 4, 0 = x*s - m - 8. Solve 5*y = -3 - s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 98518219 and 90.\nAnswer: 98518309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3120*v - 97946 = -10651*v - 23354*v + 1569844 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*w - 5*o, -5*o + 6*o = w - 18. Suppose -4*t = 2*r - w, 3*r - 3*t + t - 59 = 0. Put -5, 0, r in descending order.\nAnswer: r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbdkk. Give prob of sequence db.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 5. Let m be s(0). Let b = 10 + m. Factor 2*p**4 + 14*p**5 + 3*p**3 - 5*p**4 - 11*p**b - 3*p**4.\nAnswer: 3*p**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2563*i - 252700 = 457*i + 305*i for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbagggib. Give prob of sequence bgi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 33*l + 71. Let o(q) = -8*q + 2. Let t(j) = 8*j - 6. Let d(u) = 6*o(u) + 5*t(u). Let k(h) = -9*d(h) - 2*i(h). Factor k(b).\nAnswer: -2*(b - 5)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175685 to the power of 1\/2, to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65590, 130937, 196284, 261631, 326978?\n\"Answer: 65347*s + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 21*g**2 + 82*g + 35. Give z(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - b = -12*g, -2*g = b + 2. Sort g, -53, 6 in descending order.\nAnswer: 6, g, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15\/151 - 117\/5738. Which is the biggest value? (a) -0.4 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(1 - 2))\/(5\/(-555)). Let o = 328\/3 + k. Let z = 0.22 - 0.32. Which is the biggest value? (a) -0.2 (b) z (c) -5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 349 and 1583413?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 130 = 3*v, -18*c - v = -13*c - 746. Sort 1, c, 5, 8 in increasing order.\nAnswer: 1, 5, 8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-7 + 3 + 3)*(-6*l + 3*l + l) - 2*l + 3*l - 5*l)*(-17 + 8 - 4)*(-10 + 68 - 22)*(-2 + 4 - 4) in the form p + f*l and give f.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 3052782.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1995)\/(-56) - (-12)\/32. Suppose 0 = m*l - 38*l - 294. Let w = l + 261. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918706, 1837395, 2756086, 3674785, 4593498, 5512231, 6430990, 7349781?\nAnswer: 8268610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -896, -1792, -2690, -3590, -4492, -5396?\nAnswer: -6302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 + y**2 - 2*y + 1. Let h be f(1). Suppose t + 1 = h. Let u be (t\/(-4) - -1)*4. Solve 3 = -o + u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10637411 (base 8) in base 16?\nAnswer: 233f09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/24583 and -55\/403?\nAnswer: 24583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p**2 + 108579044*p - 54289524 = 0. What is p?\nAnswer: -13572381, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - f. Let g(m) = -3*m**2 - 2*m. Let r = 3 - 4. Let j(x) = r*g(x) + 2*n(x). Let w(i) = -2*i**2. Determine w(j(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 378 + -379. Let r(a) = 3 - 6 - 7*a + 2. What is r(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1774287 - 96*p + 1774287)*(-7 + 3 + 3)*(-3 + p + 3).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9560104 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 2, g: 1, q: 1}. Give prob of sequence qgz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43a + -28271?\nAnswer: -286ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 10. Let g be a(6). Let n be (1\/2)\/(18\/(-48))*(-9)\/2. Solve g*z + 3*q = 3, -4*z + q = -n*z + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q + 4*q - 20880 = 0. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2 + sqrt(275) + sqrt(275)*-1) + -5)*5*-4)**2*5 + 4.\nAnswer: 50004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + (-99 - -56) + -3 + 0 + 3 + -35?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhfhfjjfp. What is prob of sequence fphf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 28 = 84. Let f(z) = -53 - w + 2*z**2 + 109. Let t(k) = 96*k - 2*k**2 - 96*k. What is f(t(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-45)*(-1)\/3. What is the third biggest value in 2, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*a + 1. Solve a*g = 4*r + 15, r = -2*r - 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -840004, -4, -2\/17 in decreasing order.\nAnswer: -2\/17, -4, -840004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + n**2 + 4. Let o be b(0). Let w(l) = -3*l**2 + 24*l - 9. Let c be w(7). Suppose 0 = 2*v + c*v + 70. Sort v, -1, o in descending order.\nAnswer: o, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 + 7*h**3 - 5*h**3)*(-2*h + 2*h + 2*h).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 624*u**3 + 936*u + 936. Let c(k) = -k**3 - k - 1. What is 936*c(m) + r(m)?\nAnswer: -312*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 94*t - 85*t. Let u = -6 - t. Solve 0 = -a + 2*a - 2*p - 11, 5*a - p - 10 = u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cdb79 (base 16) to base 2.\nAnswer: -11001101101101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) -1\/4 (b) 3 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o)\/o*(o\/o**(-4))\/o)**(-1\/24) assuming o is positive.\nAnswer: o**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, h: 1, e: 2}. Give prob of picking 2 g.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4405 (base 7) to base 12.\nAnswer: ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 99372 divided by 14?\nAnswer: 7098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -794\/17 in 0.2, 4, -8, -0.1, -2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/6 - 101*x**3\/3 - 3925*x**2\/6 - 3925*x\/3 + 5500 = 0.\nAnswer: -15, -5, 2, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((2 - 3)*-22)\/((-14)\/(-28)). Calculate the greatest common factor of 286 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163398793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 14*d - 13. What is n(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/6*42\/28. Let x(g) = -g - l + g**2 + 1 + 11. What are the prime factors of x(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50029294 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1382*j - 2587*j - 10221*j as l*j + r and give l.\nAnswer: -14190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69322, -276840, -622554, -1106464, -1728570, -2488872?\nAnswer: -3387370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllbblblllb. What is prob of picking 2 l and 1 b?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - n = -10, 0*n = 4*p + n - 55. Let u = 26 - p. Solve 3*x + u = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-45))\/(15\/((-375)\/(-20)))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/33496 and 13\/2273541.\nAnswer: 18188328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/10)*b*b*(b*(b\/(b*b*b*b*b\/(b\/b**(3\/2))))\/b*b)\/b*b)\/(b**(-2)*b\/b**(-15)) assuming b is positive.\nAnswer: b**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d + 3*y - 6 = -37*d, 4*d - 323*y - 5 = -316*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -218549.391 to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**3 + 6*a**2 + 6*a - 9. Let t be w(-3). Which is smaller: -647\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1883252 and -29\/12.\nAnswer: 5649756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*i = 22, 0 = -2*f + 2*i - 17 + 5. Let g = f - -3. What is the derivative of g + 0*y**2 - y**2 + 4*y**2 wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c87 + -47?\nAnswer: c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6147957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**6)\/o**(-3\/4))\/(o*o**(1\/4)*o)**(2\/39)*(o**(-2\/5)\/(((o\/o**(-2\/11))\/o)\/o))\/((o**(-4\/9)\/o*o)\/(o*o**0)) assuming o is positive.\nAnswer: o**(-64421\/25740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*u**2 + 434*u**2 - 1317*u**2 + 431*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3902 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 6*p - 6. Suppose s - 3*u - 26 = -0*u, 0 = 2*s + 5*u - 19. Let n(q) = 8*q**2 - 17*q + 17. Calculate s*r(g) + 6*n(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136.1 + 136. What is the closest to w in 1\/15, -5, 1\/2?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/4798 or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3747 - 48713\/13. Which is the fifth biggest value? (a) u (b) -0.2 (c) 1 (d) -1\/10 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 561*u**6\/40 - u**5\/15 + u**4\/3 + 5*u**3\/3 + 1944*u**2. What is the third derivative of p(t) wrt t?\nAnswer: 10098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 - 64*r**2 + 130*r + 60. Does 9 divide o(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4\/5 - 78*k**3\/5 + 645*k**2 - 10524*k\/5 - 28224 = 0.\nAnswer: -49, -5, 12, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 733707963 rounded to the nearest ten thousand?\nAnswer: 733710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -40*p**2 + 40*p. Let n(l) = 10*l**2 - 10*l. Let x(v) = -9*n(v) - 2*r(v). Find the second derivative of x(c) wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s + 0*s**3 - s - 3*s - 1 + 6*s**2 - s**3 in the form m*s + q*s**3 + v + k*s**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 + 94. Suppose 0 = -4*p - 5*s, 2*p - 3*p = i*s. Solve 0 = 5*w - x - 25, x + 5 = p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 24*c**2 + 61*c - 26. Let y be w(-21). Solve 0 = -2*r + 24 - y for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230 (base 6) to base 5.\nAnswer: 10423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z\/z**0*z))\/z)\/z*(z*z\/(z*z*z*z**(-6)*z*z))\/z)**(-2\/17) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -24, -42, -66, -96, -132, -174?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from ccmmmmmmmccc.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 955 = 79. Calculate the remainder when q is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-138)\/7 - (0 + 8\/28). Find the common denominator of -1 + ((-145)\/6)\/1 and (-1 + 1)\/(-1) - 85\/x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 12) to base 14.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/24)\/(2\/(-4)). Which is the third biggest value? (a) 0.1 (b) 7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d**3 - 2*d**2 + 14*d - 13. Let z(g) = -11*g**3 + 2*g**2 - 16*g + 15. Let k(t) = 8*p(t) + 7*z(t). What is k(1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/242)\/((-1905)\/5588).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23489 - -2043566\/87. Let i = -2\/29 - r. Let c be (-1*(-6)\/(-9))\/(-3*(-16)\/48). What is the second biggest value in i, c, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**8\/336 + m**4\/8 + 2*m**2 - 2*m. Let j(l) be the first derivative of f(l). Find the second derivative of j(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -45 - -91 - 107\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.2 + 5. Let y = 29 - 32. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7*w - 73 + 78 + 4*w - 14.\nAnswer: 11*w - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 11260.005 to the nearest one hundred.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3220916*w - 3221002*w - 3526 = 0 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.84884548 rounded to the nearest integer?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275 - -296. Solve 5*m - 4*c = 4*m - w, 5*m + 5*c = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.16798543 and -0.4.\nAnswer: -0.23201457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 - 302075*y**2 + 4562918360*y - 13686036540 = 0 for y.\nAnswer: 3, 30206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -201d (base 16) in base 11?\nAnswer: -61a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y - 2. Suppose 2520 = 17434*a - 17378*a. What is the remainder when a is divided by d(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.48422 + -367057.97\nAnswer: -367061.45422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 26. Let w(l) = -l**2 - 1. What is -k(u) - 4*w(u)?\nAnswer: 2*u**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - 8*r**3 + 3*r**3 + (0 - 4 + 2)*(4 - 6 + 5)*(-3*r + 2*r + 3*r - 2)*(-2*r**2 + r**2 + 6*r**2).\nAnswer: -67*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 0)\/(18\/27) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s**(1\/4))**(-38)\/(s**9*s**5*s*s) assuming s is positive.\nAnswer: s**(-279\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 3*k**2 - 21*k - 97. What is v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/(-2)*4\/3. Let g be -7*(-2)\/y*-2. Let z be (16\/(-14))\/(-1)*(-154)\/(-44). Solve g*n + 0 = z*l + 4, -5*n = -3*l - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -103 (c) -0.5 (d) 3 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -496 divided by -124\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 0.8. Which is bigger: s or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/55*-5)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -424002 + 5?\nAnswer: -423664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2222001221000 (base 3) to base 9\nAnswer: 2861830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -32. Calculate the remainder when 23 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -4)*(0 + 7). Let g(o) = -o**3 + 8*o**2 - 3*o - 5. Is g(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 3*k + 5. Let s be h(4). Let v(q) = 3*q + 6. Let c = 1247 - 2561\/2. Calculate the common denominator of c and v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 16*l**2 - 38*l + 314. Calculate z(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -25238 times 4\nAnswer: -100952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158605011?\nAnswer: 3, 157, 112247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + (-445)\/105)\/((-18)\/21). Let u be 1\/2 + (-2)\/4. Is u less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18164563 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 7:34 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**6 - 3*p**4 + 2*p**4 - 9*p**2 + p**4 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 6, 2\/5, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -1)*(6 + -4). What is the derivative of -3*r**2 + 11*r**4 - 12*r**4 + y + 3*r**2 wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63235192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f - 10. Let n be b(-1). What is the common denominator of ((6\/(-36))\/(-1))\/(n\/(-261)) and 29\/190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/29))**(2\/29)*z\/z**(-1\/49)*z**(7\/6)*z assuming z is positive.\nAnswer: z**(789193\/247254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3011846539.\nAnswer: 13, 5927, 39089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3937032 (base 10) in base 16?\nAnswer: 3c1308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 29097166*f = 29097168*f + 73, 96 = -4*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*q**2 + 1390 + 32*q**2 + 31*q**2 + 0*q - 5*q.\nAnswer: 2*q**2 - 5*q + 1390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)*d)\/(d\/(d*(d\/d**(-5))\/d))*(d**(-1))**19 assuming d is positive.\nAnswer: d**(-219\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1148, -1715, -2638, -3911, -5528, -7483, -9770, -12383?\n\"Answer: w**3 - 184*w**2 - 22*w - 943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + a + 2*a)*(1 + 13 - 1)*(36*a**2 + 40*a**2 - 6*a**2) in the form d + l*a**2 + p*a**3 + o*a and give p.\nAnswer: 4550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1.5, -0.4, 76, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 9\/41926 in increasing order.\nAnswer: -2, 9\/41926, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 4, w: 2, c: 1, r: 3}. What is prob of picking 1 j and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -12. Suppose -2*c - 1263 = -x, -3*x + 3*c + 3761 = s*c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -340 + 348 - 2*c + 3*c. Let a be d(-5). Solve -4 - 4 = 4*f, a*l + 23 = -4*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11380385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00073091221 rounded to 7 decimal places?\nAnswer: 0.0007309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*v + 3*l, -11*v + 5*l = 2*v - 138 + 53 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**5 + 2*r**4 - 22940*r**3 + 22*r - 2248 wrt r.\nAnswer: 80*r**3 + 24*r**2 - 137640*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s - 6*s + 4*s + 6*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.1. Let s(f) = -f + 9. Let g be s(4). Let d = g + -2. Is d at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.916 + 0.361. Let j = v - 2.1327. Let p = 0.14 - j. What is p rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 5*v + 13. Let z(n) = 6*n + 8. Let d be z(-7). Let q = 28 + d. Let t be i(q). Solve -t = -5*b + 2*l, b = -l - 0*l + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*z = -10, 4*s = -z + 9 - 1. Let b(v) = v + 2. Let w be b(-2). What is the third biggest value in w, 1, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 85945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 4 - (21 - 45)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkggkskkkkkkps. Give prob of picking 1 g and 1 p.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 16*g + 3. Let t be l(16). Let o be (-2)\/(-2) + 1\/(-1). Solve o*a - 6 = t*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 36*m**3 - 3*m**2 - 7*m + 9. Let h be b(1). Solve 0 = -55*a + h*a - 40 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4606 and 53\/2842.\nAnswer: 133574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 13*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/2 + 5093*g**4\/2 - 20357*g**3\/2 + 5083*g**2\/2 + 15267*g = 0. Calculate g.\nAnswer: -1, 0, 2, 3, 5089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391155894 to the nearest integer?\nAnswer: 19778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**5\/15 - 2*h**2. Let z(u) = 6*u**2 + 4. Let y(w) = w**2 + 1. Let o(n) = -4*y(n) + z(n). Give x(o(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.52301554 - 1.523. Round x to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(396) + 1 + (-2*sqrt(396) + sqrt(396))**2*2 - 6*(sqrt(396) - (sqrt(396) + (sqrt(396) + 1 - sqrt(396)))**2*2)) + -1)*-2.\nAnswer: -11110 - 228*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.187357ug to kilograms.\nAnswer: 0.000000000187357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*f)*(-1 - 1042*f - 7676*f - 8577*f + 1).\nAnswer: -51885*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 62?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42761020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -14, -37, -70, -113, -166?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126933?\nAnswer: 3, 29, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h = -4*z + 419, 1295*h - 1231*h = -1216 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + ((sqrt(72) - (-1*(sqrt(72) + 1 + sqrt(72) + sqrt(72)) - sqrt(72))) + 3*(sqrt(72) - (sqrt(72) + 1)) - (1 + sqrt(72) + -2 + -2)))**2.\nAnswer: 48*sqrt(2) + 1153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19919, -79712, -179361, -318860, -498203?\nAnswer: -717384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.149 - -3.\nAnswer: 1.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -r + 6, 3*k = 3*r + 2 - 56. Suppose r*o + 140 = 26*o. Calculate the greatest common factor of 14 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 221747 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*2)\/sqrt(2) + sqrt(2)*-2*2.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 443299004?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5187 + 84?\nAnswer: -5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 7*r**2 - 3*r - 3. Let d be ((-20)\/(-6))\/((-18)\/(-27)). What is the tens digit of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 3*l + 5. Let r be n(-4). Let t = 24 - r. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463.5999 + 154?\nAnswer: 617.5999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -20)*(6 + -10 - -7)*9\/36\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebiibmfimbb. Give prob of sequence mi.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-69)\/(-92) + 1\/(-2). Let z(r) be the first derivative of -1\/6*r**3 + 0*r + 2 + l*r**2. Factor z(p).\nAnswer: -p*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j = -5*w, 5*j - 4*w - 27 = 0. Let l be (6\/j*2)\/18. Let k be ((-1)\/5)\/((-2)\/5). Which is greater: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60, -450, -1126, -2100, -3384, -4990?\n\"Answer: -2*y**3 - 131*y**2 + 17*y + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -398 + 263. Let a = -103 - j. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*j = 2*a + 6, -4*a - 5*j = 2. Suppose o - 3 = -a*o. Put 2, o, -9 in decreasing order.\nAnswer: 2, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57168*q + 12 - 15 + 3.\nAnswer: -57168*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - -40. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/323, 18\/5 in descending order.\nAnswer: 18\/5, 1, 4\/323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f - 123*f + 157 = -3083 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 23*g - 300. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 2*j - 1098 + 1019, 3*h + 4*j - 73 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -41a952?\nAnswer: 41a94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 5:47 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) + (-205)\/(-10). Suppose -2*v + m = 2*v - 13, 3*v = 5*m + 31. Suppose i = -2*p + v. Which is the nearest to p? (a) 0.1 (b) 3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000293956559 to 7 decimal places.\nAnswer: 0.0000294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = -2*v. Let c = 3 + -3. Sort c, 4, v.\nAnswer: v, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1104)\/756*-9*(200\/16 - 9).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 3615, 12089, 28519, 55539, 95783?\nAnswer: 151885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:01 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133513173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/25884 and 5\/64511556.\nAnswer: 193534668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n**3 + 5*n**2 + 14*n - 78. What is k(3)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -109, -111, -115, -121, -129, -139, -151?\n\"Answer: -m**2 + m - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 1599*z + 8*z**2 + 2*z**2 + 386*z.\nAnswer: z**2 - 1213*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - k + 14*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35028 is divided by 422.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 15*t + t - 11*t in the form q + b*t and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1344592 is divided by 293.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500814 is divided by 1841.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 - 52 = 18*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 889 divided by -147.\nAnswer: -127\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -224, -334, -442, -548, -652, -754?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f. What are the prime factors of g(8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2101020?\nAnswer: -2101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 6 = 0. Suppose 2*z - 5*z - 5*u + 20 = 0, -5*z - s*u = -8. Suppose -r = 2*r. Solve p + z - 10 = 3*l, r = l + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001067807 rounded to five dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 228\/(-378)*-9 - (5 + 1 - 2)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 28.01. Let s = -0.045 - -1.045. What is the fourth smallest value in y, 4, s, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 + 115*w**2 - 2*w - 2. Let l(u) = -27*u**3 - 577*u**2 + 11*u + 10. Determine -11*b(a) - 2*l(a).\nAnswer: -a**3 - 111*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 576, 1801, 3644, 6105?\nAnswer: 9184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 1052. Let s be u(0). Let b be (-6)\/10 + s\/20. Let k be 4 + 140399784\/b - 2\/(-13). Round k to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.961113 rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*g - 18 = 0, -2*l - 3*g - 25 = -7*l. Let o = -7 + 10. Let f be 1\/o + -2 + 1. What is the nearest to 1 in f, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v + 16. Let r be f(7). Suppose -8*l + r = -4*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35604429 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 6) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -299 - -299. Solve -9*u + 6*u + 6 = m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -3*d - 48 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 20 = -48. Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41872.988973 - 0.011027. Let u = 41824.018 + r. Let c = u - -49. Round c to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.6 and 24.198.\nAnswer: 280.6968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z**0)*z)\/z*z)\/z)**(-39)\/(z**(1\/6)\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 8274170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j = 167*j - r + 9, 17*j - 87 = 2*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330 + 11113201303?\nAnswer: 11113200313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 95454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-14) + 41\/7. Suppose -3*v + 21 - p = 0. Let c(i) = -i**2 + 6*i. Determine c(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7291\/15 + -486. Let u(t) be the first derivative of -1\/5*t**2 - a*t**3 - 1\/5*t + 5. What is f in u(f) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/49256 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.4 (b) 2 (c) -4 (d) -93 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -238*m - 14. Let c(h) = 36*h - 3. Give 4*c(x) - f(x).\nAnswer: 382*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 3*m + 3*m - m**2 + 3. Let j = 10 - 7. Let o be f(j). Solve 3*v + 2*h = -h + 12, -10 = -v - o*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -16.99?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8025)\/10)\/(-2*(-2)\/(-8)). Suppose -3*f + 1260 = -3*r, 80 = 4*f - 5*r - g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/21939091?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q**3 + 9*q**2 - 5*q - 5. Let l(b) = -b**2 - 46*b - 458. Let k be l(-15). Let f(y) = -10*y**3 - 13*y**2 + 7*y + 7. Calculate k*n(p) + 5*f(p).\nAnswer: -p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1565 and 821296017746?\nAnswer: 821296016181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -772.\nAnswer: -5\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*q = 952 + 4550, -8337 = -3*c - 3*q. What is the highest common factor of 68 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 + 9*h - 2. Let n(p) = -8*p**2 - 8*p. Calculate -4*n(d) - 3*y(d).\nAnswer: 2*d**2 + 5*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 - 2*p**2 + 4*p + 3. Let r(j) = j**2 + 16*j + 44. Let m be r(-11). Let a(h) = 8*h**3 + 5*h**2 - 11*h - 9. Give m*g(b) - 4*a(b).\nAnswer: b**3 + 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -11*p + 6*p + 605 = q. Let o = p + -911\/8. Find the common denominator of o and -87\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42544*-333\nAnswer: 14167152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -110\/761?\nAnswer: -110\/761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 0, -3*o - 15 = -0*b - 3*b. Suppose b*m + 1179 = 399. Round m to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10072147*c**4 - 46583181 wrt c?\nAnswer: -40288588*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310830 and -1?\nAnswer: 310830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/360 and -25\/2268.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6632968?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(832) + 1 - ((sqrt(832) + 1)*1 - sqrt(832)))**2 - (((sqrt(52)*-2)\/sqrt(4))**2 - (sqrt(832)*1 + sqrt(13)))).\nAnswer: 25*sqrt(13) + 783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1211*q + 1218*q = 14. Solve -4*w = -w - q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 8 + 2. Let d(k) = -k**3 - 5*k**2 + 15*k + 4. Let a be d(-7). Sort q, 5, a in descending order.\nAnswer: 5, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p**2 - p**2 + 9*p**2)*(-1 + 2 - 15) + (7 - 4 + 0*p**2 - p - 3*p**2)*(-2 + 1 - 2) as f + b*p**2 + g*p and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1106 - 1105. Let x be ((-2)\/4)\/(3\/(-30)). Sort h, x, -5 in increasing order.\nAnswer: -5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-2756)\/(-53))*2*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 465 = -k, 0*k - 4*k - 3*m = -1936. Calculate the greatest common factor of 74 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2)\/sqrt(11) + -3.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/157652 - -157647\/788260. Factor -21\/10*x + 9\/5 + k*x**2 + 1\/10*x**3.\nAnswer: (x - 3)*(x - 1)*(x + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 5*i - 2. Let r be k(3). Suppose 0 = 5*f + z - 943, -3*z - 1037 = -r*f - 294. Calculate the greatest common factor of 47 and f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2648, -2659, -2684, -2729, -2800, -2903, -3044?\nAnswer: -3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (125 - 78) - -36?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -0.18, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -0.2, -287, -7, 1.1 in increasing order.\nAnswer: -287, -17, -7, -0.2, 1.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77 in -7, -34\/7, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -617.5 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.33844334 rounded to 0 dps?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1057, -1138, -1203, -1246, -1261?\n\"Answer: l**3 + 2*l**2 - 94*l - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 184 by -60187.\nAnswer: -184\/60187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:50 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 457547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + -64 + 50.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 156, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526658387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1*(3 - 2). Calculate the highest common factor of r and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10613, 43068, 97157, 172880?\n\"Answer: 10817*z**2 + 4*z - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 2*x + 0*x**5 + 7\/30*x**6 + 0 + 14*x**2 - 20\/3*x**3 + 0*x**4. What is the derivative of s(g) wrt g?\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-22) - 1014\/990?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from iiihiihiiiitivtj.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 35*u - 6. Let v(x) = 2904*x. Determine g(v(b)).\nAnswer: 101640*b - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -6. Let p = 8070999.9999996 + -8071007. Let i = p - j. What is i rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (186\/66 - (-4)\/22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*s - 1\/7*s**5 - 2\/7*s**2 + 0*s**4 + 2\/7 + 4\/7*s**3.\nAnswer: -(s - 1)**3*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4190*w - 1726*w + 181*w**3 + 187*w**3 - 139*w**3 wrt w?\nAnswer: 1374*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11633726*i**4 - 2150915 wrt i?\nAnswer: 46534904*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.2033208 + -42.20332. Let x = p - -3. Round x to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/27 and 73\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1852 + 614 + 615 + 620 + 520*f in the form r + i*f and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 22*n = 36 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13) - (-496)\/(-520).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -3, -321, 0 in decreasing order.\nAnswer: 0, -3, -54, -321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(30\/(-1020))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 31. Let x be o(-13). Solve 5*c + 21 = i, 0*c + x*i - 1 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 5, g: 3, y: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13175 and 8856235.\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13843 by -127.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1190 and 4930?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 - 8*h + 0. Let i(m) be the first derivative of 0*m**2 - 2\/3*m**3 + 0*m + 28. What is i(w(v))?\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8*35\/(-70)*-3.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + 2 + -1 + 1293 + -1254\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/13 (b) 18342 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-12)*(-2 - 132\/(-70))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66073227 to the nearest integer?\nAnswer: 8129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -9. What is the greatest common factor of u and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*v + 6*v. Let d be (-70)\/4*(-330)\/v. What is the tens digit of d\/7 + 4 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1434538 or 1434540?\nAnswer: 1434538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.199 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b - 12. Let a be y(11). Let n be 15*4\/3 + a. Let z = -9 + n. What is the greatest common factor of 40 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/40)\/(((-4284)\/(-216))\/(-119))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -167, -174, -193, -230, -291, -382, -509?\n\"Answer: -f**3 - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2996 - 2976. Solve -u*w = -11*w + 14*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**2 - 5*r + 5*r + (-6*r + 5*r + 6*r)*(2 - 2*r - 2).\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-2)\/(-4) - (-8453)\/(-158). Let m = z + 123. Calculate the highest common factor of 28 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 2:57 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 2*r = 7*o - 378, 5*o + 5*r - 1890 = 0. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -0.6 (c) -0.5 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -49\/5. Let b(c) = -c**3 + 12*c**2 + 10*c + 40. Suppose -4*k + 4*a = 6 - 50, -a = 2*k - 28. Let v be b(k). What is the biggest value in 13, v, m?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 107370 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c8262 (base 14) to base 2.\nAnswer: -10000001101001001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**3 - 7*s**2 - 3*s**4 + 36*s + 18 + 23*s**2 + s**4 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*n - 46 = 0, 225*j - 227*j = -2*n + 20 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-7\/8)\/((b\/(b\/b**(-9)))\/b*b*b*b))\/((b\/b**10)\/(b\/b**20)) assuming b is positive.\nAnswer: b**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*u + 652*u = 350*u - 1274 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 2*d - 2*d)*(-5 + 8 + 1) + (2 - 2 - 2*d)*(0 - 3 + 0))*(2 - 2 - 4*d + 4*d - d - 2*d - 2*d + 2*d - 2*d + (4 - 2 - 3)*(5 + 2*d - 5)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281 + -303. Which is the nearest to -2\/7? (a) 4 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -30 + 22)*-2\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -47)*10\/15. Let h be 46 - (-6)\/(9\/3). What is the highest common factor of h and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (70\/4)\/((-9)\/(-54)). Calculate the highest common divisor of 42 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**6\/210 + x**5\/105 - x**4\/21 - 48*x**2. Factor u(b).\nAnswer: 4*b*(b - 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1511*b + 4 - 5356*b - 4.\nAnswer: -3845*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-12)\/(-5) + -3). Let p = 0.07 - -0.43. What is the nearest to v in 2, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -16\/5 (b) 2\/11 (c) 0.055\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2181048 divided by -38264?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 0 + (-510)\/96 and -45\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 - -181. Solve 0 = n - 7 + 3, -j*g + 3*n = -8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {m: 2, j: 1, b: 2, x: 3, r: 3, o: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2365, -2361, -2357?\nAnswer: -2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 50299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7731 divided by 36.\nAnswer: 859\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*n - 27*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:07 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 919566?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmrr when four letters picked without replacement from {r: 3, m: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/6 (b) 3\/13 (c) 0.1 (d) 1.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o - 18 = -4*q, 5*q - 4*o = 30. Sort 0, 5, q in descending order.\nAnswer: 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44506767 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 123db0?\nAnswer: -123dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1265 and -3.\nAnswer: 3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30766 or 30765?\nAnswer: 30765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 2, n: 3, u: 1, h: 3, y: 3}. Give prob of sequence ru.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (6 - -7)) + 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 8*k - 150. Suppose 7*l - k = 2*l + 4*h, 0 = -2*l + h + 7. Let f = -1 + 1. Solve 2*z + 4*i = -2*z, f = -2*z - i + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 2*k. Let u be i(1). Solve u*x + x = -4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*v = 20. Suppose -20 = -v*w - 24. Let r(z) = -16*z - 1. What is r(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150569*k**6 + 6*k**5 - 2518778*k**2?\nAnswer: -18068280*k**3 + 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*11\/1155*15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*z + 47*z + 33*z = -323 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-4) + (-5)\/10. Let n be -2*(2 + (-9)\/i). Solve -n*q + 12 = -4*b, -2*b - 2*b - 16 = -3*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-12)*4 - -3. Let o(b) = b**2 - 3*b + 1. Let m be o(k). Let z(t) = t + 10. Let w be z(-6). Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sas when three letters picked without replacement from {a: 2, s: 2, g: 10}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {x: 9, p: 5, g: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 86059, -1\/5, -3\/4, -32 in increasing order.\nAnswer: -32, -3\/4, -1\/5, 86059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -83. Suppose g = 2*u - 8, -13 = -q - 2*u - 1. Suppose -4*l + 4*b = 28, 2 + 0 = b. Sort -1.7, q, l in decreasing order.\nAnswer: q, -1.7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. What is the nearest to n in 3\/8, 4, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*b + 34221 - 4737 = 0. Calculate the greatest common divisor of 42 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-455)\/(-49) - 9)*3\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 444856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 264775 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 0 + (-79 - -82)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41 - -330?\nAnswer: 2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -5\/2 (c) -0.5 (d) 276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12230, 24449, 36662, 48869, 61070, 73265?\n\"Answer: -3*s**2 + 12228*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 3*a + 2. Let k be s(-3). Find the third derivative of -n**3 - n**k + n**3 - 2*n**3 - 2*n**3 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(-1 + sqrt(98) + -3))**2 + 1 + (sqrt(98) + sqrt(98) + 0 + sqrt(98))**2 + -2 + 5.\nAnswer: -14*sqrt(2) + 985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 587, -1\/15, -14, -1\/3, -3\/16 in increasing order.\nAnswer: -14, -1\/3, -3\/16, -1\/15, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 10. Let n(i) = 2*i**2 + i - 20. Let t(d) = 3*n(d) - 5*x(d). Let f be t(6). Sort -4, -2, f in descending order.\nAnswer: f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weeweeewwewwweeeww. Give prob of sequence ee.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4978, -4771, -4418, -3913, -3250, -2423, -1426?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by 2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 - 26*q + 17. Let y be z(3). Sort 0, y, -4, 98 in decreasing order.\nAnswer: 98, y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/15*(-13 - 5\/((-75)\/105)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*l, 2*s + 5*l = -3*s. Let n be 2 - (0 + -1 + s). Solve -n*k = -2 + 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.68 and 17.\nAnswer: 232.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 2*c**2 + 954*c + 150. Determine i(32).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 48*t - 362. Determine u(-34).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 363 = 3*w. Let v be 10\/3 - (-4)\/6. Suppose n - v*n = -w. What is the highest common factor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 11*g + 29. Let d be h(8). Solve 6 = -6*k + d*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p - 3. Let s(t) = -4*t**2 + 279*t + 240. Let v(d) = -s(d) + 2*x(d). Differentiate v(k) wrt k.\nAnswer: 4*k - 277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111011 - 10001010111000?\nAnswer: -10001101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -40*k**2. Let o(x) = x + 59. What is o(m(u))?\nAnswer: -40*u**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-1 + 2 + -3). Let s = 15 + v. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 24*l**3 + 16*l**2 + 10*l - 6. Let q(x) = -23*x**3 - 17*x**2 - 9*x + 5. Let z(a) = -6*q(a) - 5*w(a). Factor z(i).\nAnswer: 2*i*(i + 1)*(9*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 20*g - 678. Round g to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-1)\/(-72))\/(((-42)\/168)\/((-8)\/(-12))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 + 4. Let l be (-111)\/(-18) + (-2)\/12. Is j(l) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 12 + 13 = 0, 2*s = -3*c - 11. Suppose -s*t = -0*t - 120. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/56077 and -54\/175.\nAnswer: 1401925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59468.52 years to centuries.\nAnswer: 594.6852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. Suppose 0 = -g*l + l. Solve l = -y + 1 - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in 7, 3\/7, 145220?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -y + 11, 0*y + y + 3 = m. Suppose 2*b = 7*b - 20, -c - m = -3*b. Suppose -4*n = -c - 35. What is the smallest common multiple of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 1\/60 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 19.2 (c) 0.6 (d) -3\/259 (e) -5.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/16 + -53\/112. Let q(u) = u**3 + 5*u**2 + 5*u + 3. Let l be -4 + (2 - 2\/1). Let y be q(l). Which is the closest to y? (a) s (b) -0.2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + 306?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/10))\/h)\/h**18 assuming h is positive.\nAnswer: h**(-183\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21573614, 21573593, 21573572, 21573551?\n\"Answer: -21*a + 21573635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 1213012075.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08068373 to three decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10.47885038407+-49\nAnswer: -38.52114961593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -916 = -2*s - 2*p, 3*s - 2*p - 806 - 593 = 0. Suppose 3*a = c - s, 3*c - 4*a - 774 = 620. List the prime factors of c.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*n**3 + 2508*n**2 + 3788*n - 2520.\nAnswer: -4*(n - 315)*(n + 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 - 33*n**2 + n**3 - 3 + n**3 as i*n + p + w*n**3 + m*n**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -0.5. Suppose 5*q - 11 = -6. Let d be (2\/14)\/(q\/3). Sort l, d, -2\/19 in descending order.\nAnswer: d, -2\/19, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 13119663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 130*u**2 + 4602*u + 1421. Determine i(159).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 6 + 42 = 0. Suppose -4*d + u - 56 = 0, -d + 2*u - 8 = 6. Let f = b - d. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368 + 3*v**2 - 118 - 144 - 114.\nAnswer: 3*v**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -20.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(108) + 2 + 5 + (sqrt(9)\/(sqrt(3) - sqrt(75)) + -3 + sqrt(15)\/sqrt(5))**2.\nAnswer: 3*sqrt(3)\/2 + 363\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6227148 and -34?\nAnswer: 6227114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -74214 divided by 589?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-36) + (-38)\/(-9). Let o be (-49)\/14 + 2\/s. Let a = o + 4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 6434*i**2 - 90*i + 405 + 90*i**3 - 4*i**4 - 6834*i**2.\nAnswer: -5*(i - 9)**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 13*p**2 + 27*p - 15. Is l(-9) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 25. Let b(z) be the first derivative of 9*z**2 + 3. Calculate the remainder when b(3) is divided by d(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/76 and -67\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -855 * 23.65.\nAnswer: -20220.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064102?\nAnswer: 2, 13, 40927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10484807 and 20?\nAnswer: 209696140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757*r - 269*r + 5*r**3 - 247*r - 266*r.\nAnswer: 5*r**3 - 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-290)\/(-261))\/(14\/(-6)). What is the smallest value in -2\/3, -1\/6, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4953 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 56*q - 269. Give r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171065670.19999954 - 171065667. Let u = -22 - -18.8. Let z = a + u. What is z rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/97 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Which is bigger: 7 or 717681?\nAnswer: 717681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1795800 divided by 300.\nAnswer: 5986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119009678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(91) + sqrt(91)*-2*5 + (-4*sqrt(91)*3 - sqrt(91) - sqrt(91) - sqrt(91))))\/(5*(-3*1*sqrt(70))\/sqrt(10)*-3).\nAnswer: -8*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 6, j + 2*f = 216. Let y = j - 85. Suppose y = 5*v - 40. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*t - 208, -5*t + 5*q - 86 = -4*t. Suppose -2*o + 28 = 220. Let a = t - o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8466982 or 8466983?\nAnswer: 8466982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + -1 - 3\/3. Suppose p*z = 3*z. Let y(x) = 0*x + z*x + x. Let q(n) = -n. Calculate y(q(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*d**2*n**3*r**2 + 6*d**2*n**2*r**2 + d**2*n*r**3 + d*n**3*r - 601*n**3*r**3 wrt r.\nAnswer: 6*d**2*n - 3606*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2 - 105\/(-60)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1531*v - 897 + 2685 - 892 - 897 as j + c*v and give c.\nAnswer: 1531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 29. Let b be -9*p\/(-15)*1. Let x = 5 + b. Is x less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3714 = -5*m + 3*p, -4*p + 632 = 3*m - 1579. Let i = m + -462. List the prime factors of i.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from sssssdsssssddsdsdss.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/3 + 109*o + 331\/3.\nAnswer: -(o + 1)*(4*o - 331)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -63. Suppose y + 0*y - 3*f - 13 = 0, -5*f = -y + j. Suppose -y = 2*i + 3. Which is smaller: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/2*(-7)\/((-42)\/(-4)). What is the second derivative of -t*h**5 + 15*h - 96*h + 6*h - 59*h**5 wrt h?\nAnswer: -1360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 201 = 127. Suppose 3*m - 5*g = 111, -g - g = -2*m + 70. Let l = r - m. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 + 4*s**2 - 6 - 4 in the form j*s**2 + a + d*s and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*r + 3*t + 11, -4*t - 8 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4052 divided by 63618.\nAnswer: -2026\/31809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -250017185 greater than -250017185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 138*t - 11322. Let g be h(82). Which is the fourth biggest value? (a) g (b) 2 (c) -5 (d) -3 (e) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -37*l. Let n(d) = -2*d. What is n(q(u))?\nAnswer: 74*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-102621)\/(-3555) - 5\/(150\/(-4)) and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**12*g*g\/((g*g**(4\/5))\/g))**(-9\/10)*g**(-7)\/(g*g*g**(-2\/7)\/g)*(g\/(g*g**1*g))**(-17) assuming g is positive.\nAnswer: g**(4097\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1. Let w(a) = a**3 + a**2 - a + 2. Let l(d) = w(d) + 3*y(d). Let p(b) = -9*b**3 - 8*b**2 + 8*b + 8. What is -24*l(i) - 3*p(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + q - 1. Let l(v) = 9*v**2 - 3*v - 27. Let w(x) = 12*h(x) + l(x). What is the derivative of w(r) wrt r?\nAnswer: -6*r + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -8 - 2. Suppose -f*v + 1362164 = -v. Let n = -550541 + v. Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/((s*s**(-8)\/s)\/s)))*s*s**1 assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-186)\/24)*2\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6124, 24670, 55598, 98896, 154552, 222554?\nAnswer: 302890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 3*d + 1)*((-3 + 1 + 8)*(0 + 2 + 0) - 2 + 0 + 0 + 3 - 1 + 0 - 1 + 2 - 2 + (0 + 1 + 1)*(-4 - 2 + 4) - 2 - 1 + 4 + 0 + 1 - 2).\nAnswer: 7*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + -23. Let m = -45.4 - d. Is 0 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 55 + 24 + 4*u)*(16*u + 5*u + u)*(u + 5*u - 3*u) as v*u**2 + x + k*u + d*u**3 and give v.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 16) in base 3?\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68115 and -2?\nAnswer: 136230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 520 - 31301541?\nAnswer: -31301021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554, -640, -748, -890, -1078, -1324, -1640?\nAnswer: -2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38851347 and 18?\nAnswer: 233108082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}