diff --git "a/data/dm_maths/full_data_1/1859_11255.jsonl" "b/data/dm_maths/full_data_1/1859_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1859_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j(f) = 126*f + 1611. Calculate j(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 193 + -190. Solve -i = 4*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -152, -155, -160?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u - 12. Suppose n - 3*b = -18, 0*n - 5*n = 2*b + 158. Let y = n - -49. Calculate the remainder when g(-8) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -145\/2 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -16. Let m be 3\/(-1*k\/(-4)). Let q be (-3 + 38\/6)*(-360)\/300. Which is the nearest to 5? (a) m (b) q (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 10) in base 6?\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-14))\/(2\/(-12)). Suppose -k + 0 + 20 = 5*d, 0 = 2*k + x*d - 19. Solve i + 2*f - 5 = 0, -15 = -3*i - f + k*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 12, 31, 48, 57, 52, 27?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 520986.2l in millilitres?\nAnswer: 520986200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17972044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*q - 13*q. Suppose 22 = -x + 4*n, -q = -2*x + 4*n - 26. Let p be (x\/(-15))\/((-20)\/25). Which is the nearest to 0.05? (a) p (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/91104*-6*(-4)\/(-3)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/(-105)*6\/10. Which is the nearest to 1? (a) d (b) 1 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 4*p, -5*t - 3*p = -2*p - 1. Sort 5, t, 1, 2 in descending order.\nAnswer: 5, 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2)**11\/(x\/(x*(x\/(x**2\/x)*x)\/x))**(-10) assuming x is positive.\nAnswer: x**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - t - 66 = 27*l - 6*l - 7*l, -2*t - 3*t = -2*l - 34 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -37. 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: Which is the closest to -3? (a) 4 (b) 7 (c) -14 (d) -47245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10261?\nAnswer: 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 + -45. Calculate the remainder when t is divided by (-1072)\/(-40) - -7 - (-2)\/10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22471381 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-360)\/48)\/((-15)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11, 2, -31, -100, -217, -394, -643?\n\"Answer: -2*h**3 + 5*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1553338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*z. Let j(n) = 11789*n + 129676. Let g be j(-11). Put -1, z, g, 5 in increasing order.\nAnswer: g, -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -10*i + 6*i + 116, 2*i = -5*w + 133. Suppose 0 = -2*v + v + a + w, -3*v = 4*a - 68. Calculate the remainder when 43*1 - (0 + -1) is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -43. Let k be (-6)\/(-4)*3\/((-36)\/(-152)). Calculate the highest common divisor of a and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88\/3 + 175\/6. Let s = -5 + 8. Suppose 2*r - s*r = 4. Which is the smallest value? (a) o (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/3)\/(56\/12))\/((-520)\/(-3640))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, q: 1, b: 3, c: 4, l: 5, p: 1}. Give prob of picking 2 l, 1 p, and 1 b.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*b**3 - 409894*b**2 - 3*b - 1873570 wrt b.\nAnswer: 576*b - 819788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1263 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + 314. Suppose q + 5*c - u = 0, q - 5*c = -4*q + 1645. What are the prime factors of q?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 8*s + 74. Let i be o(-4). Solve -h = 3*l - 6*h - i, 4*h = 5*l - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13228\/13 - -2478524\/2431. Let z = -9\/187 - d. Calculate the common denominator of -19 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 6:47 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6764, 111, -1 in descending order.\nAnswer: 6764, 111, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18 + 1)\/((-1)\/2). Let g = u - -21. Let d = -13 - g. Sort -1, 2, d in increasing order.\nAnswer: -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = 3*w, -5*w - 13 - 7 = -5*p. Solve -p*n + 3*n = -2*l + 7, -6 = 2*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.02 + -2. Let v = 412 - 408.02. Let g = v + x. Which is the third biggest value? (a) -8 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 48*a - 185*a + 48*a - 30 + 87*a - 46. What is j(-30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*s + 235*s - 77*s - 76*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889347.\nAnswer: 3, 521, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 5, -5, -3, 665, -7 in ascending order.\nAnswer: -7, -5, -3, 5, 13, 665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*d*y + 464189*d - 709*y with respect to y.\nAnswer: 18*d - 709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 91)*(-3)\/6. Let n = p + -34. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3254137 is divided by 813474.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11576 and 79972796?\nAnswer: 5788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*sqrt(425)*-3 + 2)*4)**2.\nAnswer: 1920*sqrt(17) + 979216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42109 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 0)*(-24)\/(-15 - -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-62)\/(-5) - 24\/60. Let q(n) = -n**2 + 12*n + 6. Let u be q(r). Let m = 3 + u. Calculate the greatest common factor of 63 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5536 = 4*v, -5*v + 7*v = k + 2789. Is v less than 1390?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 9. Solve a = -3*n + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 748.15 + -715. Let z = -0.15 + h. Let f = -36 + z. Which is the nearest to 1? (a) -1\/4 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0457152 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 89 - (-4 + 38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**3 + 9*v**2 - 2*v - 8. Let s(b) = 9*b**3 + 19*b**2 - 4*b - 17. Let k(u) = 7*m(u) - 3*s(u). Suppose 20 = -0*j - 4*j. Does 15 divide k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39506 + 21412 = 218*t for t.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -120\/301 + -29559\/602. Calculate the common denominator of 23\/208 and q.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116589318 to the power of 1\/2, to the nearest integer?\nAnswer: 10798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-18)*24\/(-9). Suppose 186 = 3*b + 3*r, -z*r - 11 = -3. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6323, -6940, -7651, -8456, -9355, -10348, -11435?\n\"Answer: -47*l**2 - 476*l - 5800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {e: 2, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 517 and 387844.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 43600098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**4\/2 + 13*g. Let n(z) = -z**2. Calculate q(n(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -2\/15, 0.4, 368, 2, -205 in decreasing order.\nAnswer: 368, 2, 0.4, 1\/5, -2\/15, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01431 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.057 plus -304374651441?\nAnswer: -304374651441.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193916?\nAnswer: 2, 48479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -3 (c) 8\/5 (d) 561 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3529\/1235168 + -1\/2662. Calculate the common denominator of q and 69\/80.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 2*f - 3. Let u(l) = -l**3 + 3*l**2 + l - 4. Let h(i) = -2*i**3 + 4*i**2 + 2*i - 4. Let b(c) = 3*h(c) - 4*u(c). Give 3*a(t) + 2*b(t).\nAnswer: -t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6631 (base 9) in base 7?\nAnswer: 20152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406797 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.368213 and -0.38.\nAnswer: -0.748213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1823603?\nAnswer: -1823587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -405 + 1298. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 29*m**2 + 339*m - 14. Calculate h(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 + 110*w + 571. Give d(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1521 times 4.6\nAnswer: -6996.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (209280\/(-654))\/(210\/(-6))?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310350204, -310350202, -310350200?\nAnswer: -310350198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 26*l**2 - l. Let b(w) = 6*w**2 - w - 1. Let p(j) = -253*j**2 + 46*j + 46. Let x(g) = 46*b(g) + p(g). Calculate q(x(o)).\nAnswer: 13754*o**4 - 23*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.721913215428 + -0.4?\nAnswer: -4.121913215428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (17 - (81 + 4)) - -16\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*56)\/(168\/616*33*(-12)\/(-6)).\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**2 - 5*s**2)*(-7*s**2 - 4*s + s + 5*s).\nAnswer: 28*s**4 - 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 66858.8 and -71856.\nAnswer: -4997.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -6. Suppose -10 = o + o, 0 = -r + 3*o + 16. What is the closest to -2\/3 in k, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 13, j: 4, p: 3}.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 101 and 6.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/12 - (-1615)\/228. Let a(h) = 2*h**2 - 1 + 8*h**3 + 2*h - q*h**3 + 3. Let k(c) = -4*c**3 - 7*c**2 - 7*c - 7. Calculate -14*a(w) - 4*k(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l**2 + 2*l**2 + 11*l**2 + 14*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.42 + -22.42. What is the closest to -1 in 4, 0.2, x, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*-6*(-12)\/(-162).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4699*r. Let d(m) = -6*m**2. Calculate i(d(y)).\nAnswer: -28194*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t + 1 - t**2 + 0*t**2 + 2 - 7*t. Let p be o(-6). Factor 720*y**3 + p + 24*y**4 + 38*y + 73*y + 243*y**2 + 168*y**4 + 225*y**2.\nAnswer: 3*(y + 3)*(4*y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.52 or -4\/5?\nAnswer: -12.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1294333872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**3 - 9*c**2 + 9*c + 155. Let k(t) = -t**3 - 2*t**2 + 2*t + 39. Let p(l) = 9*k(l) - 2*z(l). Let h = 6560 + -6560. Determine p(h).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 11*j**2 + 19*j - 81. Let t be y(12). Let b = 1546 - 441. Suppose -5553 = -5*l - x - 0*x, l + t*x = b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353709.5 millilitres to litres.\nAnswer: 353.7095","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + -2)\/2 - ((-286)\/(-13) + -53)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 596 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.103 take away 158.16664007?\nAnswer: -158.06364007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/33495 equal to -14.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 22*g + 23. What is l(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 42599398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -6\/5 (c) -0.8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 - 44\/(-36). Suppose 3 = 2*z - y. Suppose 0*t + 36 = z*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.92 - 25. Let c = z - -0.08. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neefreneh. What is prob of picking 1 h and 1 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1, 11, 4, 28, -5306 in decreasing order.\nAnswer: 28, 11, 4, 1, 0, -3, -5306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62778507 + 62778507 - 6*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/6))**(2\/117) assuming y is positive.\nAnswer: y**(5\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 5*v + 18. Give u(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 562569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, z: 8, f: 5}. What is prob of picking 1 z, 1 l, and 1 f?\nAnswer: 25\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 575 and 1166325?\nAnswer: 26825475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9))\/(2\/36). Let v = r - 1. Let m be -1 + 38 - 30\/15. What is the greatest common factor of m and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87027\/44 + 1978. Let n = r - -713\/308. Is 3 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x - 48. Let g be o(6). Suppose g = -33*y + 15*y + 11034. What are the prime factors of y?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 1011*x + 4. Let j(r) = -4*r**2 + 2021*r - 7. Calculate -5*h(f) - 3*j(f).\nAnswer: 2*f**2 - 1008*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18370068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8*r + 3574 = 0, 45*z - 3*r = 48*z - 3549. What is the remainder when z is divided by 74?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 16*i + 6. Suppose -5*s = -2*z - 88, 4*s - 28 = -z + 32. Give b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1064710676 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:19 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 - 43*j + 66. Let l be v(6). Solve 3*u = 4*i + l, 0 = -u + i + 33 - 26 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = -4*d - 2*p, 0 = d - p - 2. Suppose d*i + 77 = 97. Suppose f + 13 - i = 0. What is the third biggest value in 1, 9\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-276)\/(-207)*3\/(0 + 6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/f**(4\/3))\/f))\/f)\/(f\/(f\/(f*f*f**(-2\/33)*f*f*f))*f*f*f*f) assuming f is positive.\nAnswer: f**(-218\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 757928099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 806 and 806.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389 - 268. Let w = 202 - y. Calculate the remainder when w is divided by 38*2\/4 - -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*x - 120, v + 1 = -5*x - 4. Solve 4*r = -0*r + v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 + 5*z**2 - z**2 + 2*z**2. Let f(c) = -3*c**2 + 2*c**2 + 0*c**2 + 3*c**2. What is f(x(b))?\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92042 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxyyywwwwx. What is prob of picking 1 n and 2 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*162\/36*(-13 - -12)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 46\/1 + (-28)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 2*o - 2. Let i be p(2). Suppose 7 = -5*d + t, 0*d = -i*d - 5*t + 8. Let b be 7\/(21\/30) + d. Calculate the highest common divisor of 6 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.22 (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212 + -224. Let l be 13\/(26\/(-20))*3\/v. Find q, given that -1\/2*q**4 - 9\/2*q**2 + 7\/2*q - 1 + l*q**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(2100) - -2*sqrt(2100)) + sqrt(2100))\/(sqrt(9)\/sqrt(3)*-6).\nAnswer: -20*sqrt(7)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-10) + 63\/9)*16.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 17*y**2 + 38*y - 121. What is p(18)?\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 11*s**2 + 39*s - 10. Let a(v) = 5*v**2 + 19*v - 5. Let b(k) = 13*a(k) - 6*m(k). Let r be b(9). Let f = r + -17. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0.0437, 1\/5034, 3\/4?\nAnswer: 1\/5034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-4403)\/51*11\/(-77)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111442 = 44*q - 121582. List the prime factors of q.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110680 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43*h + 29*h - 3*h)*(0 + 2*h + 0) + 5300*h**2 - 5307*h**2 - 85*h + 33*h to the form m*h + p*h**2 + s and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 528657.\nAnswer: 17445681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1316937149353\/260881219720 - -415\/15450472. Let k be 6116\/9210 + (-4)\/6. Let u = k + y. Find the common denominator of u and -29\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 75*k**3\/8 + 18581235*k**2\/8 - 22297563*k\/8 + 6689277\/8 = 0.\nAnswer: -247751, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/6*(-4)\/(-42). Sort 1, 0.1, j in descending order.\nAnswer: 1, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2 - 1666*o - 46738. Calculate u(-31).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsshssssi. Give prob of sequence hs.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 17*h - 19 = -21*h, 2*h - 2 = 2*p. Solve 0 = -5*b - 4*q - 11, -9*q = -p*b - 14*q - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/5)\/3)\/(38\/(10640\/28)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14683422, -14683423, -14683424, -14683425?\n\"Answer: -x - 14683421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*u - 665 + 2374, 2*a - 1144 = 2*u. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6) - 10\/(-4). Suppose 3*w - 52 = -22. Let p be (((-108)\/(-10))\/3)\/(4\/w). Solve -5*t + 18 = -q + k*q, 2*t + p = 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) 3 (c) 3\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5207?\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158686569 to the power of 1\/3, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420*d + 10 = 425*d. What is the third smallest value in 6\/35, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 667791 and 17585163.\nAnswer: 52755489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*m + 6*n + 556, -2*m - 5*n + 536 = 0. Factor -5*d**2 - m*d + 11*d**2 - d**3 + 264*d.\nAnswer: -d*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99442, -99441, -99440?\nAnswer: -99439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 272. Let a(w) = -26*w + 5. Determine j(a(l)).\nAnswer: -52*l + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**4 + 9*g**2 - 2*g - 2. Let d(z) = -5*z**4 + 10*z**2 - 3*z - 3. Let v(n) = 3*b(n) - 2*d(n). Find the third derivative of v(i) wrt i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39752 divided by 122\nAnswer: -19876\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 41. Let b be p(-20). Suppose 0 = -3*o - 5*r + b, -3*o - 4*r + 15 = -r. Calculate the greatest common divisor of 22 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 18. Suppose p - 6 = -m. Suppose -2*b + 66 = 2*g - m*g, -5*g + 175 = 5*b. Does 34 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 7:19 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g*t*x - 170*g*x**3 + g*x**2 - 43074211*t*x**3 - 509574*x**3 wrt t.\nAnswer: 12*g*x - 43074211*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26a + -132?\nAnswer: -39c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1139944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 19*w**2 + 18*w - 227. Give j(12).\nAnswer: -1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i + 9, i = -5*y + 47. Let b(w) = w + 10. Let j be b(-5). Solve -j*l + 0*l + y = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, d: 2, p: 1, x: 4, w: 1, f: 4}. Give prob of picking 1 p, 1 w, and 2 x.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 + 18*c - 12. Let i be f(5). Suppose 4*b = -i*a + 20, -5*b - 4*a = -10 - 15. What is the tens digit of (66\/9)\/(b\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1\/3. Let r = -7.2 - -8. Let h = r - -4.2. What is the second smallest value in 0.1, i, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from ojwioov?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.273 and -40366982.5?\nAnswer: 40366982.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**3\/6 - 4*w - 1. Let b(z) be the first derivative of f(z). Let q(j) = j**2. What is q(b(i))?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -350945*r**4 - 10*r**2 - 91*r + 4?\nAnswer: -8422680*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.06 + 6.56. Let c = h - 8.5. Sort -4\/9, -3\/17, c.\nAnswer: c, -4\/9, -3\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-12)*3\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*t + 11. Suppose 2 = -2*q, 0*d + 5*q + 70 = t*d. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjkfjff. Give prob of sequence kjj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1791.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 171048560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -18. Solve 7 = -5*d - 5*p - 3, 0 = i*d - 4*p + 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, -5, 4098, -0.2?\nAnswer: 4098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589216.\nAnswer: 2, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/((8\/50)\/(12\/(-30))). Suppose 0*b - 2*a + p = 3*b, -4*a - 6 = -2*b. Let y be 6*(-3 - (-20)\/6). Solve 2*f = x + 6*f - 21, 3*x - y*f = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3892.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3237)\/169 - (-29 - -10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 52, 97, 158, 241, 352, 497?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1022212?\nAnswer: -1022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 22 + 47 = -l, 0 = 2*z + 2*l + 66. Let r be (3\/(-2))\/(z\/2328). Let q = r + -95. Solve -5*w + 3*w = -q*k + 8, -5*k - 3*w - 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 34 = 0, 22*s - 25*s + 3*j - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = 30. Let n be (9\/o)\/(15\/(-20)). Suppose 3*p - n*p - 12 = 0. What is the remainder when 46 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*i = h + 1, -2*i + 2 = 0. Let r = 777 + -5468\/7. Calculate the common denominator of r and h - -3 - 2\/(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 - -1 - (4 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147040 less than 147042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 6 - 3 = 2*s, 3*m - 18 = 3*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 1. Let a(p) = p**3 + 2*p**2 - 5*p - 4. Let n be a(x). Suppose 5*t - n*t - 39 = 0. Solve 5*u = -4*z + 2 - 13, -u + 3*z = -t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 7. Let d be u(5). Let v be 6\/(-4)*(-4)\/d. Suppose -2460 = -v*g - 0*g. Round g to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-99)\/((-2)\/(-4) + 4\/4). Let m be (w\/5)\/((-42)\/140). What is m rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 13149 = 5*g, 3*g - t = 4*t + 7879. Suppose f + 4*i - 541 = 0, 3*f = -2*f - 2*i + g. Is 2\/(-8) + f\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 20. Let s be l(-16). Let y = -8 + 6. Sort y, s, -3.\nAnswer: -3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*r + 8, -5*g - 26*r = -27*r - 104. Let z = -75 + 373\/5. Which is the closest to g? (a) 4 (b) z (c) -0.1 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p - 67. Let l be x(-23). Let y = 312 + l. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 + 6*g**4 - 3*g**4 + (-2*g**4 + 2 - 2)*(1 + 0 - 3) + 0*g**2 - g**4 + 0*g**2 - g**4 - g**4 + 0*g**4 + 2*g**4 + 2 - 2 + g**4 - 7*g**4 + 5*g**4.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 = -3*f. Let r be (-2 + 1)*f - -1. Suppose r = -4*s + 12 - 4. Solve s*p + 16 = -2*c, -4*p - 3*c - 34 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33203112 (base 4) to base 6.\nAnswer: -1210530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + -138. Let u be (2\/(-5))\/(12\/(-30)) + g. Solve -26 = -9*h + u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*u - 20*u - 28*u + (4*u - 4*u + u)*(-6 + 0 + 3) + 3*u - 2 + 2)*(-1 + 3 + 12) in the form s*u + g and give s.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k. Let g(s) = -45*s**2 - 1. Determine g(z(w)).\nAnswer: -405*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -69, -218, -509, -990?\n\"Answer: -8*x**3 + x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 370\/2368*48*(64\/(-70))\/2?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 7*g**4\/24 + 2*g**3\/3 + 7*g**2. Calculate the remainder when r(8) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 46 = 211. List the prime factors of x\/2*432\/(-120).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a minute in seconds?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -6 - 3) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/5 of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6177840 and 1200?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -6*u + 56. Let s be u\/(-21)*(-6)\/(-4). Let v(f) = -f - 1. Let c(i) = 4*i + 2. Determine s*c(y) - 6*v(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**7\/840 - w**6\/180 + 2*w**3\/3 - 3. Let b(g) be the third derivative of m(g). Find the third derivative of b(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266341849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 30 = -4*u, -3*z - 6*u - 31 = 5*u - 9*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 3*r**2 - r**2)*(317 - 317 + 3*r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2156 and 154456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 4) to base 8\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1216) + 1)**2 + sqrt(19) + (0 + sqrt(19))**2 + 0)*-6.\nAnswer: -7440 - 102*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62005.58 kilometers in meters?\nAnswer: 62005580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/4*(1 - -1*345)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 14163.\nAnswer: -140\/14163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 f when four letters picked without replacement from jjjjjjjfjjjj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 653*o**3 - 871.\nAnswer: 1959*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 5, 1, -1 in ascending order.\nAnswer: -1, 1, 5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:41 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s = 0. Let t be (2\/8 - s)*(-8)\/26. Is t <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/3 or 7252?\nAnswer: 7252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**5 - z**4\/12 + z**3\/3 - z**2\/2 - 3*z - 1. Give h(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19122, -38235, -57340, -76437?\nAnswer: -95526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1370669l to millilitres.\nAnswer: 137.0669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 56, 51, -22, -199?\n\"Answer: -6*k**3 + 20*k**2 + 9*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2. Let p(q) be the second derivative of -4*q + 2*q**2 - 69*q**3 - 2*q**2 + 70*q**3. Give g(p(m)).\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = 9. Let c(m) = 2 + 0*m + 0*m - 466*m**2 + 464*m**2. Calculate c(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-12)\/6246). Let x = z - 114. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stss when four letters picked without replacement from {k: 1, j: 3, s: 13, w: 1, t: 2}.\nAnswer: 143\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 11*p**3 + p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/27)\/(((-120)\/(-432))\/(10\/6)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6)*2))**2 - (-3 + sqrt(2057))**2.\nAnswer: -8247\/4 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in -2, -2\/11, 0.3, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143886 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d = -2447 + 2975 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzffgfkvzz. Give prob of picking 1 v and 1 k.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*t + t - 1731 = 0, 0 = -3*p - 2*t + 1311. Suppose p = -r - 4*r. List the prime factors of r\/(-4) - (-3)\/(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 76*c**3 + 396*c**2 + 324*c.\nAnswer: 4*c*(c + 1)*(c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**5 - 41905*l**4 + 8778445*l**3 + 41905*l**2 - 8778450*l = 0.\nAnswer: -1, 0, 1, 215, 8166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*d**4 - d**5 - 9*d**4 + (3*d**4 - 1 + 1)*(0*d + 2*d - 3*d).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1626484 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + v + 0*v)*(88 + 15*v**2 - 88)*(-3 - v + 3 - 3 + 3 + 2*v + (-2 + v + 2)*(-4 + 4 - 2) - 2*v - v + 2*v).\nAnswer: -60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2170*x - 5402 - 11958 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 28.452.\nAnswer: 28.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 608 divided by -14\nAnswer: -304\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 14 + c**3 - 5*c**3 + 4*c**3 - 5*c**2 + c**3 - 9*c. Let k be p(6). Let u be 2*3\/k*-2 + -1. Calculate the greatest common divisor of u and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 9. Let a = 549\/5 - 3923\/35. Let c = a - f. Calculate the common denominator of c and 11\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 62.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101524, -101500, -101470, -101434, -101392?\nAnswer: -101344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1233*u + 1236*u - 6 - 2452*u)*(0 + 2 - 1) + (-1 + 4 - 2)*(2*u - u - 5*u) to the form l + t*u and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23544 (base 6) to base 4\nAnswer: 311320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12008)\/18012*(-2)\/(-6)*(-42)\/(-4).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 5*r - 1101. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 8985329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - (2 + -5 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 134. Calculate the highest common divisor of 120 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-6)*7\/35. Which is the second biggest value? (a) -5 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 11*q + 16. Let j be (-1955)\/(-46)*(q - -1). What is the greatest common divisor of 51 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t - 613 = 611 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let u(i) be the third derivative of i**9\/840 + i**7\/5040 - i**6\/720 - i**5\/60 - 2*i**2. Let f(w) be the third derivative of u(w). Is 36 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1477031\nAnswer: -1\/1477031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(1053) + -2) - (sqrt(39)\/(6*-1*sqrt(3))*6)**2.\nAnswer: -27*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-9))\/(2*(-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214.1 + -199. Round s to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.033322.\nAnswer: 0.066678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4 - 6*f**3*x**2 + 135*f**3*x + 27*f**3 + 6*f**2*x**2 - 90*f**2*x - f**2 - 4*x**2 wrt f?\nAnswer: 24*f - 36*x**2 + 810*x + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 571 divide 3751470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313 + 301. Let j(o) = o**2 - 3*o + 7. Let u be j(8). Let v = u + m. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 + r. Let u be q(-1). Let m be (4\/u)\/(3\/(-6)). Suppose -m*j + 29 = -1. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.8558 and 0.2?\nAnswer: -1.17116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 5572972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cen when three letters picked without replacement from {l: 1, n: 6, p: 3, g: 3, c: 4, e: 2}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-105)*-7*(-360570)\/(-238)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - -1)*10\/20. Let y(c) = -1 + 13*c - 1 + 3. Is y(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(1\/3)\/l)\/l**(1\/3))\/(l**(-1))**21)**17)**43 assuming l is positive.\nAnswer: l**14620","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10634858131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2980344, 5960789, 8941234, 11921679?\nAnswer: 14902124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 17 in ascending order.\nAnswer: -3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -20, -7, -2 in descending order.\nAnswer: -2, -3, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.3, -23, -3\/8, 12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i - 3*i**2 - 9*i + (3*i + 3*i - 5*i)*(-2*i + 4*i + 0*i))*(-89 - 23 - 93).\nAnswer: 205*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 11:32 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.109 times 0.06\nAnswer: -0.00654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131 - 92. Suppose -5*x = a - 9. Let t be 2*4\/8*-5. Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k + 5*k - 9*k + 23 + 25*k + 2*k**2. Calculate b(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/44, -0.4, 1, 4\/3?\nAnswer: -7\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*z = -96*z. Let s = 7 - 4. Put 5, z, s in descending order.\nAnswer: 5, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/218 (b) 6\/6779 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*1.8433.\nAnswer: 12.9031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8531*o**2 + 4278*o**2 + 4274*o**2 - 488*o**3 + 490*o**3.\nAnswer: 2*o**3 + 21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 52 = -19*n + 38 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 7, t: 8, u: 1, a: 1, r: 2}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 12. Suppose 3*w = 4*x + 10, -4*w - 3*x + 6 = 1. Calculate the lowest common multiple of n and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 209 = 3*k. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 501 * -6\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (-7 + 22) - 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020001111 + 10?\nAnswer: -1020001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 38415*k + 115218.\nAnswer: 3*(k + 3)*(k + 12802)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 5*j**2 + 15*j + 1. What is the remainder when x(7) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1040.914 weeks?\nAnswer: 629544787200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 6 - 4. Suppose 2*g + 11 = i*j - j, 5*g + 35 = 5*j. Put 4, 0, g in descending order.\nAnswer: 4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1.3. Let z be 1 - (2 - (-1)\/(-1)). Let d = -2.86812 - -0.86812. What is the fourth biggest value in d, h, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/25 + 19\/75. Put 2\/15, 1\/5, s, 0.5 in descending order.\nAnswer: 0.5, s, 1\/5, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 4:03 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/29 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 2, k: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/17614 and 79\/2990?\nAnswer: 26332930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 6\/7, 1, 4\/7 in descending order.\nAnswer: 4, 1, 6\/7, 4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 94. Let a = v - 16. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -35, -8, -0.1, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:39 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 6*g + 88 = 0. Let d = g - -26. Suppose 2*c + c + d*o - 135 = 0, -c - 2*o + 43 = 0. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/13))**(-6))**(-12))**(-43) assuming w is positive.\nAnswer: w**(-6192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/2949 and -113\/6?\nAnswer: 5898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**7\/735 + f**6\/420 - f**2 - 3*f. Suppose z(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 123, 629, 1\/3 in decreasing order.\nAnswer: 629, 123, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, g: 11}. Give prob of sequence zgzz.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -y. Suppose 0*j = -4*a + y*j + 100, 10 = 5*j. Calculate the remainder when 202 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21e0d (base 16) in base 4?\nAnswer: 201320031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {r: 2, y: 4, u: 10, b: 2, a: 1}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 13, -9, 53, 1 in decreasing order.\nAnswer: 53, 13, 6, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/18768 and -47\/10392?\nAnswer: 8126544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 643*g**2 + 1920*g.\nAnswer: g*(g - 640)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 6844*l\/3 - 82560.\nAnswer: (l - 6880)*(l + 36)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - n + 9 = -1, -5*n = 0. Suppose 2*a - 136 = -0*a + 4*w, -296 = -5*a - w. Suppose 0*l - p*l = -a. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/15208039 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 1516436*t**3 - 12*t**2 + 4549316*t - 3032872 = 0.\nAnswer: -2, 1, 379109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6 = -4*l - l, -2 = x + l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2*(-2)\/(-56)). Let z be (32\/d)\/((-2)\/(-7)). Let h be (((-4)\/14)\/(-2))\/(-25 - 637\/(-26)). Which is the biggest value? (a) z (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3683, -46134, -161367, -385772, -755739, -1307658, -2077919, -3102912?\n\"Answer: -6065*l**3 - l**2 + 7*l + 2376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.58 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-524*h**2 - 90*h - 525*h**2 - 525*h**2 + 1558*h**2)*(-h**2 + h - h).\nAnswer: 16*h**4 + 90*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*w + 5*j - 39, -56 = -3*w - j. What is the least common multiple of w and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/44)\/5*1\/3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1521*c. Let j(o) = -9978*o + 9977*o - 1 - 2 + 3. Give j(p(g)).\nAnswer: -1521*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4322 + -4323. Let x = -0.13 + 0.43. Which is the third biggest value? (a) x (b) -16\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -86, -142, -230, -356, -526, -746, -1022?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 6 - 7 + a**2.\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 1, f: 12}. Give prob of sequence ak.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3550002*f - 2. Let p be s(1). Round p to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 358.\nAnswer: -71.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -15*s**3 - 16*s**2 - 3. Let m(y) = -4*y**3 - 15*y**2 - 2. Calculate 3*m(n) - 2*x(n).\nAnswer: 18*n**3 - 13*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s - 108. Let f = 189 - s. Suppose -2*h + 14 + 20 = 0. Calculate the highest common divisor of f and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(54\/(-27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19774037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1046 + -425. Let y = k - 573. Suppose -112 = -10*u + 5*u + 2*b, -4*u + 76 = -5*b. What is the greatest common divisor of y and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52003094 to the power of 1\/2, to the nearest integer?\nAnswer: 7211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*n*q**5 + 3687*n*q**3 + 39496*n*q wrt q?\nAnswer: 120*n*q**3 + 22122*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5 - 4*k**4 + 18*k**3 + 4*k**2 - 16*k = 0. Calculate k.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479325198 divided by 33.\nAnswer: 14525006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/10)\/((-4)\/265) and 678\/60 + 2\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.2 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 33 = -v, -v - 5*w = -w - 48. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 6*t**2 + 5*t + 3. Let c be s(5). Suppose 0*h + 12 = c*h. Calculate the lowest common multiple of 14 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2681, -5365, -8051, -10739?\nAnswer: -13429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 79*i - 21. Let a be t(-1). List the prime factors of (-21)\/((-585)\/a + -6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 228*h - 1215.\nAnswer: 3*(h - 81)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 233887.1708 to the nearest 10.\nAnswer: 233890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/7770960 and -25\/3096.\nAnswer: 7770960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 467 + -471. Let c be 0 - ((4 + 2 - 0) + d). Put -10, c, -3, -0.1 in decreasing order.\nAnswer: -0.1, c, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-12 - 0) + (11 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a248 - 206?\nAnswer: -1a453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0 - 37662*g + 5 + 37666*g - 2 + 3. Determine t(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 6331\nAnswer: 18993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*p + 10. Suppose -p*f + 131 + 264 = 0. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132892 is divided by 929?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**4\/12 + 5*p**3\/6 + 2*p**2 + p. Suppose 507 = 72*l - 237*l + 1662. Determine i(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2182 - 2131. Suppose 2*i - 99 = -3*j, 3*j + 54 = i + 6*j. Let g = i - y. Are g and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-12)\/(-2))\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 12*g - 7. Let u(d) = -1228*d. Give u(q(p)).\nAnswer: -14736*p + 8596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/2)\/(2\/(-4)). Let d be ((-2)\/(-30))\/(4\/(-10)). Let j = -568\/5 - -114. Which is the nearest to j? (a) s (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 9:16 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60556, -60824, -61092, -61360, -61628?\n\"Answer: -268*z - 60288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/16302 and -5\/39468.\nAnswer: 749892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 27*b**2 - 64*b + 348. Let c be r(25). Suppose o + 30 = -0*o. Let s be c*((-8)\/4)\/o. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195515 - 39735 = 20*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (53 - 10 - 43)\/(5 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 w when four letters picked without replacement from {q: 3, w: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 + 1185\/105)\/((-60)\/14).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiicl. Give prob of picking 2 l and 1 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 74, 142, 222, 308, 394, 474?\n\"Answer: -u**3 + 12*u**2 + 39*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -22*d + 14. Calculate the least common multiple of x(-1) and 42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llcccaanac. What is prob of sequence can?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3843 and -37\/189.\nAnswer: 11529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*r - 29 = 0, 4*z + 1 - 2 = 5*r. Let o = 0 - 0. Put o, -2, z in decreasing order.\nAnswer: z, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/57150 and -77\/30.\nAnswer: 57150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-542)\/(-2439))\/(((-8)\/342)\/(-2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + 9 + (-4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 36. Let s(p) = -3*p - 28395. Calculate f(s(g)).\nAnswer: 3*g + 28359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*u + 253561 = -53*u. What are the prime factors of u?\nAnswer: 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290*b**2 + 58*b**2 - 52*b**2 - 791*b**2.\nAnswer: -1075*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 8:33 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 25.32 months?\nAnswer: 0.00211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from yyyytyyxxyxyxxtxyy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -5. Let v(s) = -s**3 - 3*s**2 + 3*s + 13. Let p be v(y). Suppose k = 5*u - 160 - p, 5*u - 4*k = 272. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**6 assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/56 and -95\/376.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12428 divided by 52.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 at least as big as -1.81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 1, -35, -95, -185, -311, -479, -695?\n\"Answer: -m**3 - 3*m**2 - 2*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571*l = -582*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/3)*l**7\/l)\/(l*(l\/(l\/l**(-3\/8)))\/l)**(2\/99))**(-36) assuming l is positive.\nAnswer: l**(-2511\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4 + p**3 - p**2 - 4*p + 1. Let z be b(5). Suppose 0 = -a + 4*a - z. What is the highest common factor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/65))\/k**19)**(-41))**(-1\/5) assuming k is positive.\nAnswer: k**(-48052\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y**2 + 36*y + 4. Let w(c) = -c**2 - c - 1. Let h(n) = p(n) + 4*w(n). Suppose h(v) = 0. Calculate v.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 19*a - 5*y = -25, -20 = 2*a + 2*a + 4*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122*h**4 + 2*h - 194?\nAnswer: -1464*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296848 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97950580 by -5.\nAnswer: -19590116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 41, -2, 3, 15, 26, 5 in increasing order.\nAnswer: -8, -2, 3, 5, 15, 26, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, -124, -477, -1172, -2323, -4044, -6449, -9652?\n\"Answer: -19*m**3 + 8*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - p**2 + 6*p**2)*(2*p - p - 3*p)*(-p**2 + 3*p - 3*p).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w = 6. What is the remainder when 20 is divided by w - 5\/(15\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126413?\nAnswer: 7, 18059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2972 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11653 and 33927?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.53233mg in micrograms?\nAnswer: 93532.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736)*2 - sqrt(2736) - sqrt(2736)))**2 + 2 - (-5 + (-1*sqrt(2736) - sqrt(2736)))) + 0.\nAnswer: 24*sqrt(19) + 2743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -28. Calculate the smallest common multiple of k and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -3. Suppose 3*n - 24 = 3*r, -5*n = -5*r + r - 37. Let x = r - y. Solve -15 = -x*j - 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 21 + 18*f + 14)*(f**2 - 3*f**2 - f**2 + f**4).\nAnswer: 18*f**5 - 54*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 5*n**2 - 22*n + 18. Let k be x(-8). Suppose 3*o + 2*f = 7, 2 = -k*f - 0. Solve d + 1 = o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 0. Let f = -2 - m. Let u be (15\/2)\/(18\/12). Sort -1, f, u.\nAnswer: -1, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21808 - 83?\nAnswer: -21891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 2.05. Let h = 1 + d. Let u = 0 + 1. Which is the second smallest value? (a) 2 (b) u (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.793? (a) 1\/2 (b) 1 (c) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4388\/15 + -1271\/5. Let d = 39 - u. Factor -1\/3*x**3 + d*x**2 - 1\/3*x + 0.\nAnswer: -x*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - 6 - (-2 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160064*z**2 - 160063*z**2 + 4*z**3 + 37*z**3.\nAnswer: 41*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 110000?\nAnswer: -101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 + 4*m**2 - 5*m**2)*(-4 + 4 - 3*m) + 0*m**3 + 3*m**3 + m**3 to the form c*m + s*m**3 + d*m**2 + v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/6))\/((r*r**(1\/3)\/r*r)\/r))\/(r*r**(2\/3)*r*r*r*r*r**(-1)*r))**(-29\/5) assuming r is positive.\nAnswer: r**(841\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + 11 + -9 + 10. Solve -i*a - 5*q = 6 - 11, 0 = q - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2. Suppose -4*d = 0, 5*m - 7 = 2*d + 3. Let f(a) = -2 + 2 + 0 - a**m. Calculate x(f(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0904862 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0)\/(4\/10). Suppose 2*q = -g + 3*q + 14, -65 = -j*g + 4*q. Suppose 4*r - g = 19. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 2983?\nAnswer: 2982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5931 and 338726?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(20\/(-16)) + -8. Let y(j) = 3*j**2 + 1. Let a be y(1). Sort a, r, -5 in descending order.\nAnswer: a, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4\/3 - 20*m**3 - 24*m**2 + 128*m\/3.\nAnswer: 4*m*(m - 16)*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 3 + -21 + 20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*f + 3*m, 4*f + 5*m = -3*f + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y + 9 = 0. Suppose 0*a + 2*a - 6 = -2*k, 0 = -2*a - 5*k - y. Find the first derivative of -3*o**3 + 2 - a*o**3 + 3*o**3 wrt o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 84 = -84. Suppose s = -5*m - 4*q - 41, m + q - 2*q = -1. Put m, 3, 0 in decreasing order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**4 + 4*w**2 - 4*w**2 + 2*w)*(14 - 35 + 11) to v*w**3 + s*w**2 + a*w**4 + d + r*w and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10696 or 10699?\nAnswer: 10696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -599, -1411, -2757, -4757, -7531, -11199, -15881?\nAnswer: -21697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -39. Let m = -3931 + 4290. What is the remainder when m is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144458695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 7*o**2 - 6*o - 5. Let g(v) be the third derivative of -v**6\/120 + 3*v**5\/20 - v**4\/3 + v**3 + 8*v**2. Let b be g(8). Calculate f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 + 477791120*a - 57071088587713600 = 0. What is a?\nAnswer: 238895560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*((w*w**(-20)\/w)\/w)\/w)\/w)\/(w\/w**16) assuming w is positive.\nAnswer: w**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oox when three letters picked without replacement from {x: 1, t: 3, o: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m, -m - 6071 + 43758 = 3*q. Suppose -5*s = -1323 - q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-9) + -11)*3 - (58 + -60)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 + 5*s**4\/12 - s**3\/3 + 2*s**2 - 6*s. Is l(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n + 2. Suppose -3*q + n = -2. Solve m + 0 = -q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1084 and 139294.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 2*w - 6334*w**3 + 4 + 5*w**2 + 6336*w**3. Let b(z) = 4*z**3 + 11*z**2 - 6*z + 9. Determine 4*b(r) - 9*d(r).\nAnswer: -2*r**3 - r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211 - 1211 + 65*t.\nAnswer: 65*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o. Suppose 0 = -4*t - t + 5. Determine q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2 = 5*l. Let m be l + (1 - 4)*-1 + -9. Let n = 55 + -54.7. Which is the nearest to -1\/3? (a) m (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -862 by 6.\nAnswer: -431\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i + 181 - 549 + 179 + 185. What is f(5)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -33*p - 309. Let j be u(-11). Suppose x + y = j, -3*x + 108 = -x + 3*y. What is the highest common factor of x and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 4, 3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c3 - -51c3f?\nAnswer: 51b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.26 - 30. Let t = 8.06 - 8. Let q = a - t. Sort 4\/3, q, -2\/3 in descending order.\nAnswer: 4\/3, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*s + 235*s = -t - 14, 0 = 128*s - 4*t - 415 - 201 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4\/23, 5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 60 + 48. Solve 0 = -2*v + v + r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4\/17, 53, 0.2, -3, 0.3.\nAnswer: -3, -0.3, -4\/17, 0.2, 0.3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -161? (a) 4 (b) -2 (c) 0.055 (d) 0.3 (e) -2\/11 (f) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.17 - 6.83. Let d = 0.004696 + 4.995304. What is the closest to o in d, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/274 and 5\/13.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249068641 to the nearest integer?\nAnswer: 15782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314851, -314853, -314839, -314809, -314763?\nAnswer: -314701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -26340, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 - 260*j**4 - 17100*j**3.\nAnswer: 5*j**3*(j - 90)*(j + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = f - 273. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -208*s + 2320. Determine i(11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3569*x**4 - 1115?\nAnswer: -14276*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 91\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.46*-213\nAnswer: -97.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-8)*(1 - 45*-3). Let s = -4588\/15 + n. What is the closest to -2\/5 in -1.7, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 + 10 - 17) + -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-256)\/24 - (4 + (-44)\/12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - 5*s**2 + 13*s. Let a be 13 - (-4 + (-16)\/(-2)). Let l(k) = -k**3 - 2*k**2 + 6*k. Determine a*l(v) - 4*w(v).\nAnswer: -v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 7. Let m = 1.2 - r. Suppose -111*l + 80 = 4*n - 107*l, n - 2*l + 1 = 0. What is the third biggest value in n, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x**2 - 119*x - 31. Calculate m(-10).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - g + 5 + (2*g + 4*g - g)*(21 - 56 + 19) + 2*g + 0*g - g)*(g - 4*g + 2*g).\nAnswer: 80*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 39381437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4962 = 3*f, -3*f = -2*f + 2*h - 1653. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.280315 + -29\nAnswer: -28.719685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3376 = -13*x + 9*x. Suppose 4*h = -5*y + x, 0*y - 3*y - 2*h + 508 = 0. Suppose 4*c - y = 40. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 i when three letters picked without replacement from {x: 2, c: 1, b: 1, r: 2, t: 5, i: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 10*x. Let g be r(-10). Suppose 4*o = 5*b - 254, 3*o + 258 = 5*b - g*o. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2555677*l**6 - 3*l**2 + 16327*l - 1 wrt l.\nAnswer: 306681240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56 and 1479?\nAnswer: 82824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-2)*63\/(-15). Let d = t + 43\/2. Which is the closest to -2? (a) 4 (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 9\/2 (c) 1 (d) 2\/3 (e) -10\/43 (f) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -v - v. Let m be (-34)\/3 - (-4)\/(-6). Let l = v + m. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 253 - 118. Let x(f) = f**3 + f**2 + 27. Let k be x(0). Calculate the highest common divisor of k and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b + 1. Let p be k(1). Let z be (0 - p)\/((-4)\/(-4)). Let w = z + 5. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -395.75 and 4.58.\nAnswer: -391.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 1 - (-3 + -118 + 145)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*h + 20, 2 - 1 = h - p. Suppose -5*s - 2*y + 28 = 8, 3*s + h*y - 12 = 0. Suppose s*z - 140 - 36 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from uueee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -3\/602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260\/(-45) - 6\/27.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 33*o**2 + 150*o - 25. Calculate b(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 334 - 238 = l, 4*h = -5*l + 475. Calculate the greatest common divisor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-6) + (6 - 7). Suppose -6*z + 188 = -286. Let h = z + -77. Which is the closest to -2? (a) v (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -6. Let h = 562 + -560. Which is the third biggest value? (a) -4\/3 (b) 0 (c) o (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1.1853 (b) -4 (c) 0.6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 3*d = 4, -2*d = 3*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**3\/3 + 5*w**2\/2 - 7*w - 7323. Let a(v) = v. Calculate -3*a(j) + o(j).\nAnswer: -j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*y**5 - 1032*y**2 - 4?\nAnswer: 3000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -39) + -1 + (0 - -6 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 15) in base 9?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4082*g**3 - 5600*g**3 + 2060*g**3.\nAnswer: 542*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4771 + -11?\nAnswer: -4782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 + 2 - 2*k**3 + k - 1 + 1 in the form c*k**2 + z + q*k**3 + f*k and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 62590 = -12370. Let k = o + 149283\/8. Let g = k + 85. What is the common denominator of -49\/6 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/5 - 2*w**3 + 4*w**2 + 4*w. Let m(z) = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/6)\/(3\/44). Suppose -3 = -w + m. What is the remainder when 73 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uz when two letters picked without replacement from {t: 1, w: 2, z: 1, c: 1, u: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 + 2*o + 364. Let w be h(0). Let j be (w\/(-7) - 4) + -2. Do 2 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-36)*0\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-736)\/(-23))\/16*15\/21.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 25*b**2 - 31*b + 37. Give v(24).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 219 = 2*j, -j = -2*g + 116 - 29. What is the second derivative of -2772 + 114*r + g*r**2 + 27*r**2 + 2772 wrt r?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 897031065 to the power of 1\/2, to the nearest integer?\nAnswer: 29950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 6) to base 8\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3250379 and 5.\nAnswer: -3250374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/27, 1\/8 in increasing order.\nAnswer: -2\/27, 1\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -559049a + -5?\nAnswer: -55904a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 2*d**2 - 2*d + 1. Let v be a(2). Suppose 350 = 2*p + v*k, 0 = 5*p - k - 3*k - 941. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 103314*s - 103316.\nAnswer: 2*(s - 51658)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(52).\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6818.401*0.1.\nAnswer: 681.8401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*p - 2174, 6*p + 2*r = 3*p + 1634. Suppose 144*i - 150*i = -p. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577255 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5*2990675\nAnswer: 14953375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343114 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -5 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 i when four letters picked without replacement from {g: 11, i: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21124\/319 - 18232211\/7656. Suppose -4*z - 6538 = -2*r + 2714, -3*r + 4622 = -2*z. Let w = z - k. Calculate the common denominator of -29\/9 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + 0.6. Let n = -2.9 - z. Let l = -100 - -698\/7. Which is the biggest value? (a) n (b) 4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185686?\nAnswer: 2, 227, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*r = -3*r, 0 = 3*s - r. Let p(k) = -k**2 + 2 + 5*k + 3*k + s*k + 1. Let v be p(8). Solve -v*n + 3 - 21 = -4*j, 2*j + n - 4 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 16*c + 2 + 39*c + (-2 + 6 - 2)*(-927*c + 1870*c - 1047*c).\nAnswer: -185*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.076 + 11503\nAnswer: 11503.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52, -207, -464, -823, -1284?\n\"Answer: -51*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -27*(10\/(-6))\/(-5). Sort m, 4, 2 in increasing order.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 15 = -14*m. What is the remainder when 163 is divided by (-48)\/(-96) - (-86)\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*f + 3*f + 21*f)*(4 - 2 - 1)*(19*f + 4*f + 38*f).\nAnswer: 4331*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:53 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:54 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c + 9. Let t be d(4). What are the prime factors of 36 + 18\/t*21\/6?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4721*n + 22 = 4719*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/2)\/(15\/20). Suppose -6 = -3*z, 4*k - 8 = -o*z - 0. What is the tens digit of -2*18*k\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(48\/(-20)))\/(22\/44)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(5\/(-35)) + 621\/(-92)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 16.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 16*d**2 + 9*d - 34. Let r be o(16). Does 30 divide r + -1 + 1 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230154 to the power of 1\/2, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7*y + 130 = 0. Suppose x - y = -x. Calculate the greatest common divisor of 143 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107 - -1410679?\nAnswer: 1410785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2 (c) 1187 (d) -0.03 (e) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1103001 and 40777.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -273200, -273199, -273198, -273197, -273196, -273195?\n\"Answer: s - 273201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/5)\/((-2)\/20). Let x(v) = -2*v**3 - v + 6. Let t be x(4). Let q = -124 - t. Solve -q*n - 6 = -j*m, 4*m + m = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 2*o - 2*o + (-3*o**2 + 2*o**2 - 2*o**2)*(-12 - 20 + 11) as g*o + s*o**2 + f and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*n = -1818, -963 = -2*i - n + 880. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 66830064 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**5 - 25520*q**4 + 6*q**3 + 121604*q**2.\nAnswer: -120*q**2 - 612480*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (237 + 239 + 458*k**2 - 476)*(5 - 3 - 3).\nAnswer: -458*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 19.5. What is the closest to j in -2\/7, -2, 1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose 4*f = r*f + 42. Suppose 2*a = 4*i - 192, 124 = 3*i - 2*a - f. List the prime factors of i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -911, -5, -2, -3.\nAnswer: -911, -5, -3, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203112123 + -33?\nAnswer: 203112030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2 + 282*j - 477. Calculate l(14).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1990433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33238\/15 + -11081\/5. Sort 0.03, -5, 3\/4, f, 0.01 in decreasing order.\nAnswer: 3\/4, 0.03, 0.01, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/612 and 43\/72?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 2*s**2 + 0 + 5*s - s - 1. Let t be f(-2). Let x = 3 + -1. Solve -x*z = -t - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 7. Suppose 6*j = 9 + 9. Let z be f(j). Factor 0 + 0*m**z + 0*m - 1\/6*m**3 + 1\/6*m**4.\nAnswer: m**3*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 9:13 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(1559*o**2 - 17*o**3 - 1559*o**2).\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3040 - -1232?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - 2\/(-4)*2*-2. Let o(r) = 45*r**2 + 5*r + 9. Is o(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/5)\/(2\/20). Suppose 31 = 7*s - 3*s + g, s + 3*g - 5 = 0. What is the greatest common divisor of z and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 581 + -287. Suppose x + 3*x = -y + 164, 0 = -x - y + 38. What is the highest common divisor of x and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -4 + (-78)\/2. What is the units digit of d\/(3 - (4 + 1\/(-2)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 + -42 - 80 - 65?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 440 + 3?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 8. Let a be v(-5). Let x be (-4)\/(-7) - (-54)\/(-21). Let l be ((-45)\/(-30))\/((-3)\/x). Sort 0.1, l, a in descending order.\nAnswer: a, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6411900 to the nearest ten thousand.\nAnswer: -6410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvovfofvf. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -3e18478?\nAnswer: -3e1847c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -15 (b) 21 (c) 0 (d) -2366\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/134330 and 49\/43964290.\nAnswer: 307750030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*j - 20. Let m = j + -3. Let d = -3.5 + 3.3. Which is the nearest to m? (a) -1 (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 - 96.9. Let z = -8.1 + o. Let h = -0.7 + 0.9. Which is the smallest value? (a) -1 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/28 + 3\/28. Sort y, -3\/11, -2.\nAnswer: -2, y, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2\/23881, 0.2, 0.3 in ascending order.\nAnswer: -14, -2\/23881, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 161*l**2 + 605*l - 332. Is h(161) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/19623 and -67\/18.\nAnswer: 117738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -21*p**2. Let n(u) = -5660*u. Give n(b(f)).\nAnswer: 118860*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 29*f**2 - 147*f - 9. Let k be m(-5). What is the greatest common divisor of 1568 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*c - 4, -4*u + 4 = 2*c - 7*c. Solve 16 = -4*f - 5*x, 3*x + 14 = -c*f + 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -413*m**3 - 22*m - 34. Is k(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -978*n**3 - 16*n**2 - 22*n**2 + 52*n**2 - 13*n**2 - 447*n**3.\nAnswer: -1425*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (157172\/8 - -4)*8. Let u be d\/3 + (-10)\/(-15). Suppose -4*k + p - u = 0, 0*k + 5*p - 13110 = k. What is k rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 1459, 0.2, 0.1, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.6. What is the second biggest value in 3, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -376\/7 in descending order.\nAnswer: 0, -9, -376\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*r + 77 - 215, -3*r + 137 = 4*l. Suppose r = 5*x - 43. Let q = x + -9. Calculate the greatest common divisor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5877327 (base 9) in base 2?\nAnswer: 1100001000100101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, g: 2, v: 5, w: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549 + 36 = -121*c - 182 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127566 is divided by 10627?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1 - 1)*(t + 2 - 2) - 2 - 3 + 3 - 7*t**2.\nAnswer: -6*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuhhuhuuhuuhuuuuu. Give prob of sequence hu.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17242000 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(80) - (0 + sqrt(1300))) + 1 + -2.\nAnswer: -39*sqrt(13)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 408, 415, 424, 435, 448, 463?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 3*v + 4. Suppose 2*q = 7*q - 10. Let a(n) = 3*n - q*n - n**2 - 1 + 0*n**2 + 0*n. Calculate -4*a(b) - z(b).\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-72) - (17\/2 - 7)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1789756 + 993*u**2 + 292*u**2 - 1789755.\nAnswer: 1285*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/168*(-5 - 4). Let n(j) be the second derivative of -1\/16*j**4 + r*j**2 + 0 + 7*j - 1\/4*j**3. Factor n(g).\nAnswer: -3*(g - 1)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 75*o**2 - 108*o**2 as h + v*o**2 + d*o and give v.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 57*s**2 - 45*s - 922. What is z(58)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9532*d - 2 + 2 + 964*d.\nAnswer: -8568*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*b = 407, 4*u + 4*b - 590 - 154 = 0. Suppose -26*x - u = -61. Sort -3, x, 1, 5 in descending order.\nAnswer: 5, 1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184128.52 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = 226*d + 3269 - 146 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342143 is divided by 1069.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {l: 9, n: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354384 by 118128.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 4*d**2 - 2*d - 2. Let w be u(-4). Suppose 3*l = -0*l + 3*p + 21, -w = 2*l + 2*p. Suppose 0 = l*z - z. Solve -3*g - 3 + 9 = z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9974 and 206995409?\nAnswer: 4987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 4*u + 4, 2*u + 4*s + 8 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298809 by -81.\nAnswer: -3689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/9 + 1084*y**3\/3 - 438470*y**2\/3 - 5313800*y\/9.\nAnswer: -2*y*(y - 815)**2*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/309 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 568704 - -1571120?\nAnswer: 2139824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:41 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 2*c**4 - 3*c**4 + 3*c**2 + (-1 - 7 + 5)*(-2*c**3 + 3*c**4 + 2*c**3) + 6*c**4 - 4*c**2 + 4*c**2.\nAnswer: -4*c**4 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {g: 10, j: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l**2 - 2*l + 1. Suppose 3*k - 4*k + 4*a = 24, k + 2*a = 6. Let w(o) = o**2 + 2. Let i be w(2). Let z be (i\/9)\/(k\/(-6)). Give h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*h**3 + 228*h + 28487.\nAnswer: 33*h**2 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*r + 11533159 = -3890070 - 5657565. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4729*g**3 - 4911*g**3 - 5624*g**3 + 13651*g**3.\nAnswer: -1613*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -115.3*-160\nAnswer: 18448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 + 6 + -3 + 133. Factor 20 - o - 183 - w**2 - 438 + 54*w.\nAnswer: -(w - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -350 + 2039. Suppose 9*d - 6*d - v = 0. List the prime factors of d.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35123\/8 + -4384. What is the common denominator of (-54)\/(-9) + (-70)\/(-16) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 (base 9) in base 12?\nAnswer: 32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2649.266*-11.\nAnswer: -29141.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*b + 51*b + 11*b**2 + (2*b - 3*b + 0*b)*(3 - 3 + b) - 2*b**2 - b**2 + b**2 to the form n*b**2 + o + d*b and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-6157)\/(-141) - 45). Factor 1\/2*s**2 - 1\/2*s**4 + 1\/6*s**3 + 1\/6*s**5 + 0 - m*s.\nAnswer: s*(s - 2)*(s - 1)**2*(s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4498417.46 rounded to the nearest 1000?\nAnswer: 4498000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/(-175)*(-900)\/(-990).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9089\/42 + -502\/21. Let r = 193 - n. Determine b so that -1\/2*b**4 + 0 + 1\/2*b**2 + r*b**5 - 1\/2*b**3 + 0*b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137495 less than 2199897\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z**3 + 135*z**3 - 13*z**3 - 53*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 20*y + 16. Let n be v(-10). Let k = -12 + n. Calculate the highest common divisor of k and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31780 and 9240.\nAnswer: 2097480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from {r: 1, u: 1, v: 1, q: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 94374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 8 - (-3 + 19).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/72 and 79\/1989.\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-2 - (-4 - -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 227\/104 - 17\/13. Let v = 3116\/9 - 44677\/126. Calculate the common denominator of v and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -407937.8 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2416*v - 84432 + 55440 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4450 - 4450 + 316*l.\nAnswer: 316*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16646\/126 + -22 - 3\/27. Solve 2*m = -5*v + 11, -i*v + 11 = 3*m - 108*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -267\/2399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 11:40 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 34108618.1826797.\nAnswer: 34108613.1826797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1368.7 - -885.8. Let x = f + 515. Let r = -32 + x. Is -12\/17 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -2*m**3\/3 + 25*m**2\/2 + 17*m - 2648. What is p(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-4)\/9)*(-10)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-63)*-179913 - (-6)\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -9*i. Suppose 5*j + i*y - 379 = 3*y, y - 2 = 0. Is j 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 8046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15699, 31396, 47091, 62784?\n\"Answer: -d**2 + 15700*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 + 44 - 39 + 3*l**3 - 37 - 49 - 39.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 53*s + 9 = -y, 0 = 2*y + 3*s - 74. Suppose 0 = 2*j - 34 - 214. Calculate the remainder when j is divided by y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(300) + (sqrt(300) - (sqrt(300) - (sqrt(300) + -1))) + -4 - sqrt(300))**2 - (-1*((sqrt(270) - sqrt(30) - sqrt(30)) + sqrt(30)))\/sqrt(10)).\nAnswer: -490*sqrt(3) + 1625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1 + 3 - 4). Suppose n = 4*z - 0*i - 3*i - 320, -5*z = 2*i - 423. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*z**5 + 2956*z**4 - 4*z**3 + 27998*z**2 + 3*z + 2?\nAnswer: -300*z**2 + 70944*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5 + 4*d**4 + 70*d**3.\nAnswer: -2*d**3*(d - 7)*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekekeeuu. What is prob of picking 2 u and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1421365 or 1421360?\nAnswer: 1421365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Suppose -2 = -u - 3*r + 2*r, -k*u - 3*r + 5 = 0. Find the common denominator of -23\/7 and 1*u\/(-2)*0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 390, 348, 290, 216?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 4. Let h be y(3). Let j = h - -2. Calculate the smallest common multiple of j and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37088 and 2033?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - 8. Let w(q) = 3*q - 4. Let n(i) = 2*o(i) - 5*w(i). Let p be n(2). Suppose -3*m**3 + p*m**5 + m**2 - 2*m**4 + m**2 + m**3 = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 10) + (-8 + 5 - 11) + 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 76250192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f - 4. Let l be (1\/(-3))\/((-4)\/(-36)). Let z be r(l). Which is the third biggest value? (a) 1\/2 (b) z (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3 + 43*g**2 - 16*g - 6 wrt g.\nAnswer: 24*g + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3a3f (base 16) to base 6\nAnswer: -153011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k + 7. Let w be d(-2). Suppose 0 = 4*h - 5*x - 85, w*x = 5*h - 154 + 51. Calculate the lowest common multiple of 92 and h.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11762 = -1768*k + 1154 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 112*d + 45 = -113*d, -105 = 5*b + 11*d for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -28. Suppose -1 = 7*s - a. Suppose 1 + 9 = 2*h. Solve 0*i + 37 = -h*i - 4*c, -2*c - 6 = s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g + 13*g - 9*g - 25*g.\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13211 and 11684529?\nAnswer: 128529819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11689, -22905, -33175, -42025, -48981, -53569, -55315, -53745?\nAnswer: -48385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/12 and 151\/92202.\nAnswer: 184404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.21 - 28.79. Let i = 29.0000052 + z. Round i to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - g**2 - 3*g + 1. Let i(c) = 7*c**3 + 9*c**2 + 20*c - 6. Let r(h) = 6*b(h) + i(h). Suppose r(t) = 0. Calculate t.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 6, -4 in ascending order.\nAnswer: -4, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 660. Let a be i(16). Is a < -628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Suppose b*x - 250 + 58 = 0. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4907513 by 117.\nAnswer: -377501\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80032496 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: Suppose 4*r + 4*v = 6*r - 24, 0 = -3*r - 4*v + 16. Let h = 42 + -42. Suppose -2*n + 0*n + 6 = h, -5*n = -3*t + 9. What is the highest common factor of t and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -393, -2301, -5475, -9909, -15597, -22533, -30711, -40125?\n\"Answer: q**3 - 639*q**2 + 2*q + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -34*p**3 + 48*p**2. Let m(t) = -68*t**3 + 120*t**2 - t. Let x(o) = 2*m(o) - 5*q(o). Let w(s) = -169*s**3 + 11*s - 1. Determine -2*w(l) - 11*x(l).\nAnswer: -36*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 + 467. Suppose 0*p + 16 = 5*u - 2*p, 2*u + 4*p = 16. Suppose 2*z - u*t - b = 0, -4*t - t = -z + 191. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -49 + -3 + 4 + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5*i**4 + 586780*i**3 + 17169120390*i**2 - 2723717164340*i + 107731675454045 = 0.\nAnswer: -58757, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 11613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/4 (c) -2\/35 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 643 = 125. Suppose 0 = -10*g + 13*g - p. Let l = 98 - g. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3211*d = 4*j - 3216*d + 177, 4*d = -691*j - 1941 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -699 times 9?\nAnswer: -6291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 2:50 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -32571\/29 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22790 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3084 - -2504. Is v smaller than -579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10*b)**(-28) assuming b is positive.\nAnswer: b**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99671.\nAnswer: 11, 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g**2 + 9*g + 11. Let h(x) = x - 2. Let y be h(-9). Let n(o) = 5*o**2 + 5*o + 6. What is y*n(q) + 6*a(q)?\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 131548 = -4*q - 131630, -q - 37 = -4*y. Suppose 4*b = 2*v - 20, -b + 10 = 3*v - v. Calculate the greatest common divisor of y and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4))**(-2\/39))**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 247000112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91119, 91227, 91335, 91443, 91551, 91659?\n\"Answer: 108*x + 91011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) + 315\/6. Let o = i - 28. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (968\/(-847))\/(1*(-1)\/7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.07 + -0.23. Suppose 0 = -4*x + 8 + 8. What is the second biggest value in -2\/7, l, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1727*x - 1733*x. Suppose -2*q + 24 = -5*a, a + 3 = -q + 1. Solve 3*d - 6*d + l - 7 = x, -2*l = -q*d + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 140?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26.885749 and 1.1.\nAnswer: 27.985749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36295 is divided by 4024.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 3. Let q be 2\/k - (-78)\/8. What is the units digit of (2\/(-3))\/(q\/(-105))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*j + 22, -j + 4*j + 19 = -4*q. Let u(s) = -4*s + 3. Is u(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -13. Suppose l + r*p - 77 + 26 = 0, 4*p = 5*l - 110. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -513 + 514. Sort -3, 2, 1.2, z in increasing order.\nAnswer: -3, z, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 32425428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 8 = -x. Suppose -4*v + 63 + 1 = 0. Suppose 9*a - 5*a = v. Are x and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -89. Let v = -58.76 - -123.3. Let j = v - t. What is j rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*q + 14, -q = 12 - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -187 + 181. Which is greater: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17806297321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f + 10. Let u(n) = 10*n + 19. Give 3*u(r) - 5*y(r).\nAnswer: 5*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1210211?\nAnswer: -1210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvmm when four letters picked without replacement from {v: 5, m: 3, q: 4, p: 1, x: 1}?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/19 (b) 0.1 (c) -306 (d) 4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11310211 + -1?\nAnswer: 11310210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77)*1*-3 + sqrt(77))\/(sqrt(11)*-2*-5).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970161656?\nAnswer: 2, 3, 82090069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 - 34733*h**2\/2 - 150771608*h + 452471136.\nAnswer: -(h - 3)*(h + 17368)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f = 10. Let n = f - 4. Put -3, 0, n in decreasing order.\nAnswer: 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 3*t + 8. Let q be 2\/((-15)\/6 + 2). Let u be z(q). Solve 2 = -2*a - u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**3 - 6*u**2 - 3*u + 15. Let v(i) = i**3 - 11*i**2 - 6*i - 66. Let q be v(12). List the prime factors of w(q).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 3*w**2 + 12. Let p be n(-6). What is the highest common divisor of 48 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 43. What is u(8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 - 44. Suppose 6*b + 12 = 10*b. Put b, 4, x, 2 in ascending order.\nAnswer: 2, b, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 9:25 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 7:06 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x*x\/((x**(-2)*x)\/x))**22 assuming x is positive.\nAnswer: x**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2130 - 2133. Let m = 27 - 109\/4. Which is the closest to m? (a) -3\/4 (b) d (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 98. Let o = -57.00000062 + p. What is o rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -20*s - 6. Let f be h(18). What is the common denominator of 17\/6 and 5 - f\/(-288)*4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 8*j**2 + 3*j. Let w be u(-8). Let c be 0 - (1 + (w - -2)). Solve -5 + c = 4*m + 2*h, 3*h = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0 + 0*l - 4*l**2 + 49\/3*l**3 - 1\/420*l**6 - 7\/4*l**4 + 1\/10*l**5. Find n such that s(n) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-486)\/(-9))*2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (935 + -937 - (-21 - 1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1696, 1978, 2260, 2542?\nAnswer: 2824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109\/868 + -1\/1736. Which is the nearest to -0.09? (a) 2\/15 (b) n (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -293*z + 297*z + 4, 3*z - 5*l = -6. Let d(r) = -4*r**3 - 3*r**2 + 7*r + 3. Let g(v) = -2*v**3 - v**2 + 4*v + 2. What is z*g(s) + 4*d(s)?\nAnswer: -2*s**3 - 5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 2*p**3 - 2*p - 27*p**2 + 0*p**4 - 19*p**2 + 44*p**2 - p to the form b*p + c*p**2 + a*p**3 + k + s*p**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) - (sqrt(637) + 0 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3158 is divided by 519?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 + 29 = 0. Find the third derivative of k**2 - 38 + 39 - x*k**3 + 3*k**2 + 4*k**3 - 11*k**5 wrt k.\nAnswer: -660*k**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324299 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 13*c - 49. Determine s(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37263, -37266, -37269, -37272?\n\"Answer: -3*u - 37260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 283, -0.4, 2\/5?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + x - 8*x + 11*x - 7. Let k(r) = -4*r + 10. Let m be k(-9). Let u = 41 - m. Calculate g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 28211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 858 and -1959005701.\nAnswer: -1959004843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76608113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-30) + (-4)\/(-24). Suppose r = 15*j - 17*j + 276. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -15 - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 313 (base 6) to base 11\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 8*z - 17. Suppose 4*q - 2*r + 50 = 0, -3*q - 30 = -2*q - 4*r. Let b be a(q). Calculate the highest common factor of b and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*x - 35*x - 38*x - 34*x - 38*x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4629.193 centuries in decades?\nAnswer: 46291.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 6\/7, -3, 103847?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81982174*w**3 - 1779*w**2 - 19892*w wrt w?\nAnswer: 491893044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 - 136. Suppose -d*q - t = 2*t - 32, t = 2. Calculate the highest common factor of q and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -103*x + 5. What is the hundreds digit of m(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 4:48 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4538\/29497 - (0 + (96\/(-26))\/(9\/(-210))).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 447733568 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18509, -18451, -18351, -18203, -18001, -17739, -17411, -17011?\n\"Answer: z**3 + 15*z**2 + 6*z - 18531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 20999999 = 5*b, 0*b - 4*b = -o + 16800001. Round b to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 - 5 = 0. Suppose -q - p = h - 0, 4*q - 2*p = -38. Suppose -3 = -8*n + 9*n. Put -5, n, q in increasing order.\nAnswer: q, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23046 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 64 = 68 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -85\/8 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 151 - 150. Which is the closest to -2\/3? (a) g (b) -5 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -355 divided by -53913\nAnswer: 355\/53913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/144*-18*4\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356503205 to the nearest integer?\nAnswer: 18881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-5 + (-474)\/12). Let t = a + -272. Suppose -3*k = k. Put k, 1, t in descending order.\nAnswer: 1, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = 6. Suppose 14 = -b*f - 1. Sort 5, f, 3 in descending order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Suppose -12*t - 8 = -16*t. Let g(k) = -3*k**t + 10*k - 29*k**2 - 10*k. What is g(a(n))?\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a hour in minutes?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) -0.1 (c) 1\/5 (d) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -32.5. Let v = j - -37. What is the second smallest value in v, 0.2, 1\/14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*t = 4 - 14, -3*t = 4*x - 15. Calculate the smallest common multiple of 4*(x - (-3)\/3) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2831092 divided by -707773\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2016 + -1987.95. Round b to one decimal place.\nAnswer: 28.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from {k: 13, r: 5}.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44731 - -3?\nAnswer: -44728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9414*i**4*w + 555*i**3 + 3*i**2*w - 248*i*w - 75*i - 2*w - 21 wrt i?\nAnswer: 112968*i**2*w + 3330*i + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 129*s**2 - 696*s - 5476. What is the remainder when v(-8) is divided by 2780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = 8. Let h be 3\/l*(-24)\/9. Let g be ((-1)\/h)\/(4\/(-32)). Solve t - 17 = 3*x, -4*t + 16 = g*x - x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j - 49*j - 44761*j**2.\nAnswer: -44761*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 11937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-49))\/(13\/(-52))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(78\/(-27) + 3). Let w = -8 - x. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjjhhjhhjhj. Give prob of picking 2 j and 2 h.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2663*t + 20*t**6 - 2656*t - 5708*t**2 + 6114*t**2 - 9*t**5 wrt t.\nAnswer: 2400*t**3 - 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6)\/(9\/30). Solve 0 = -q - 1, -j*q = -w - 0 + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufiyyyu. Give prob of sequence fiyy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 2. Let f = -1 - 5. Let w = 39 - 42. Let y(c) = -c**2 + 1. What is f*y(h) + w*b(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 3)*(4 - 3 + 0) - 2 + 2 - 2 - 33 + 26 - 479)*(-b - 2*b + 5*b).\nAnswer: -974*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 4*w + 1. Let c be b(4). Let h be ((-4)\/(-10))\/((-42)\/(-35)). What is the nearest to 0 in -0.4, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 359 - 537 = 0. What is the highest common divisor of p and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1636809529538 and 1?\nAnswer: 1636809529537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*n + 2*n. Calculate the remainder when 121 is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**(-4))\/f*f)\/f**(-1\/3))**(2\/37) assuming f is positive.\nAnswer: f**(38\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -33.8. Let a = z - -5. Sort a, 5, 0.1 in ascending order.\nAnswer: 0.1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*a - 687*a - 141*a to o + l*a and give l.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 9*n**2 + n**2)*(-61*n**2 + 92*n**2 + 45*n**2) + n**4 + 3*n**4 - 6*n**4.\nAnswer: -534*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -0.47 (c) -3\/7 (d) -56\/3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 2. Let v(p) = -p**2 - 10*p + 14. Calculate the remainder when q is divided by v(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78229738 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114 + -9366?\nAnswer: -9252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 143905*s**2 + 4316306*s + 8057000.\nAnswer: (s + 2)*(s + 28)*(s + 143875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 18*y**2 + 2040*y - 18650. Determine o(-122).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + 1)*(-14)\/84. Let q = -1 + 5. What is the closest to u in -5, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*s = -20, -4*d + 61 = 2*s - 19. Let i(f) = -f**3 - 3*f**2 + f - 1. Let m be i(2). Let n = m + 33. What is the lowest common multiple of n and d?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15751184 to the power of 1\/2, to the nearest integer?\nAnswer: 3969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15557412 divided by 26.\nAnswer: 598362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 1:59 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -69? (a) 0.2 (b) -1\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.78 + -24.98. What is k rounded to 0 decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -577\/10 + 58. Let m = -4\/5 + d. What is the closest to m in 6\/5, 0.3, 0.9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 0.06 (b) -103 (c) 1339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4808145 at most as big as 33657016\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2 + 3386536*a + 2867156519824 = 0.\nAnswer: -1693268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52332b38 - 2?\nAnswer: 52332b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1293*u - 130*u = 1293*u + 11700 for u.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1121, -5479, -16461, -37379, -71545, -122271, -192869?\n\"Answer: -552*i**3 - 494*i - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 + -17 + (-1 - -7) - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 189 = -8*v - 5*f, -2*v + 183 = f. What is the highest common factor of 8 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 1 - 1)*(-3*n - n + 2*n) + 2*n**2 - 2*n**2 + 2*n**2 + (7*n + 0*n - 8*n)*(0 - n + 0) to m*n + z + x*n**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 195 = -5*i + 206, -4*i - 4*l = -48 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6690*c - 8533*c = -58976 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80) - (sqrt(80) + -2)**2).\nAnswer: -84 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -994876 and 1.77.\nAnswer: -1760930.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 620456807*h**6 + 480*h**2 + 4*h - 30513.\nAnswer: 74454816840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 927 and 892319076.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 16*n + 2. Let c be z(-8). Suppose -30*q = -29*q - c. Suppose q*m - 154 - 108 = 0. Is m a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3994 + -3990. Sort 0, 1, q in increasing order.\nAnswer: 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 8571, -4, 3 in decreasing order.\nAnswer: 8571, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:00 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -69 + -59 + 5 + (-20 - 2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335155, 335150, 335145?\nAnswer: 335140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81818 divided by -10.\nAnswer: 40909\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24214121 - -121?\nAnswer: 24214242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(15)\/sqrt(3) + sqrt(80) + (sqrt(80) - (sqrt(80) + 1)**2) + -5).\nAnswer: -6*sqrt(5) + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6073630 is divided by 679?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/55 + 234\/30. Solve -28 + j = -5*c - 4*o, -o - 8 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - ((2 - ((-5 - 4) + -1 + -4)) + -8).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 10:37 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 4*u + 32\/5.\nAnswer: 2*(u - 8)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 + 3800 = 13*t. Suppose 4*y = 110 + t. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3 + 1 - 3. Let h(q) = 2. Let u(p) = -p - 1. Let r(z) = -h(z) - u(z). Give -d(v) - 2*r(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*m - 8, -3*m + 0*m - t - 19 = 0. What is the closest to -1 in m, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*w**3 + 19*w**3 - 3*w**4 + 15 - 12 - 9*w**2 - 4 in the form v*w**3 + h*w + t*w**2 + d*w**4 + a and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 121*j + 1810. Let g be u(33). What is the second biggest value in -4, 0.1, g, 2\/159?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -2*p**7\/105 + p**5\/30 - 6*p**3 - p**2\/2 + 15*p - 25. Let q(k) be the second derivative of n(k). Differentiate q(f) wrt f.\nAnswer: -16*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**4 + d**2. Let w(k) = -39*k**4 - 60*k**3 + 184*k**2 - 100*k + 15. Let c(s) = 6*u(s) + w(s). Solve c(y) = 0 for y.\nAnswer: -3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38 or 2\/1779?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2. Let y(t) = t**3 + 3*t**2 - 7*t - 7. Let f be y(12). Let l(a) = -f*a + 2069*a - 46*a**2. What is l(k(c))?\nAnswer: -46*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.644106 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 5*a + 7. Suppose -2*b + 10 = 3*b. Suppose b - 17 = 3*o. What is x(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 10) to base 14\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27988*b - 27990*b + 88 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 72*u**3 + 7*u - 12. Let d be y(2). Let w = d - 570. Calculate the remainder when 35 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/12 and (-3)\/(-9)*0 + 9\/58.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n + 2*n - n**3 - 8*n wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 59 = 4*o - 52, -2*o = -a - 57. Suppose -n + v - 6*v = 4, v = -2*n + o. Calculate the remainder when 61 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 + -142. Suppose g*a - 2*y - 148 = 2*y, -3*y = -2*a + 77. What is the remainder when 119 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*c + 473. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14699008?\nAnswer: 2, 19, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24140 - 842 - 2401 - 711*p.\nAnswer: -711*p - 27383","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -45, -2, -4, -3, 18, 16.\nAnswer: -45, -5, -4, -3, -2, 16, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115986 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k. Let z(g) = 3*g**2 - 5*g + 8. Give 5*q(t) - z(t).\nAnswer: -3*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3648)\/1672 + 2)*(165\/282)\/(-5)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 0.2. Which is the nearest to -17? (a) 3 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**4\/6 - 13*i**3\/6 + 5*i**2\/2 - 9*i. Does 23 divide c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9700 or 0?\nAnswer: 9700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334213012 - 3?\nAnswer: -334213020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 - 160. Let i = -3 - -23. Suppose 2*m + 9 = 2*b + 35, -4*b = 4*m - i. What is the least common multiple of w and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 + 126. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 240 = 5*y - 3*i, 4*y + 183 = -5*i. Let o = -116895\/4724 + -6\/1181. Calculate the common denominator of o and (2\/((-2)\/y))\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, i: 1, j: 1, b: 1}. Give prob of picking 1 r, 1 b, 1 i, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 240.1 + -240. Which is the nearest to l? (a) -1\/3 (b) -3\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 h when three letters picked without replacement from {p: 5, l: 2, h: 3, e: 1, s: 5}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 111*f**2 - 618*f - 27. What is y(6)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2262*s**3 - 39*s**2 - 39*s. Let x(p) = 119*p**3 + 2*p**2 + 2*p. Calculate -2*c(q) - 39*x(q).\nAnswer: -117*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 >= 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 304, 457, 610, 763?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*c = -84. Let p = -30 - c. Suppose 36 + p = 2*z. What is the highest common divisor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times -212765?\nAnswer: -3617005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/3 - 35*r**3\/3 - 37*r**2\/3 + 35*r\/3 + 12 = 0. Calculate r.\nAnswer: -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/105 - (2968\/609 - -1 - 6)\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let t = 8 - 5. Let z = -6 + t. Put -0.4, z, f in increasing order.\nAnswer: z, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 35. Give z(106).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378*l**2 + 32*l + 17.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -428, -855, -1284, -1715, -2148, -2583, -3020?\nAnswer: -3459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.008161177 - -1210.918041177. Let x = -1211 + h. Let k = -0.09 - x. Round k to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 3}. Give prob of picking 1 k and 2 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7056, -14111, -21168, -28227?\n\"Answer: -p**2 - 7052*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -348*(-48)\/224*14\/12. What is the highest common factor of 29 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + -2)\/(-6) - (-1 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 28. Suppose 0*g - 11*g = -5*g. What is n(g)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6673 divided by -22\nAnswer: -6673\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/j**(1\/7))*j*j**2\/j*(j*j**4*j)\/j**(-2) assuming j is positive.\nAnswer: j**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - f + f + (-f + 2*f - 3*f)*(-4*f**2 + 2*f**2 + f**2) + 2*f**3 + 3*f - 3*f + 3*f**3 - 3*f**3 + 3*f**3)*(-5*f**2 + 3*f**2 + 6*f**2).\nAnswer: 36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.3 - -89.3. What is the fourth smallest value in -4, b, 1.14, -1\/2?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-127*s**4 + 40*s**4 + 33*s**4)*(48 + 23 - 3 + 15 + 7) in the form a + r*s**2 + w*s**4 + q*s + x*s**3 and give w.\nAnswer: -4860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 121, 219, 301, 367, 417?\n\"Answer: -8*t**2 + 122*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from {m: 2, t: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 10*u - 128 = 0. Let y be u\/176 + (-31)\/(-11). Solve -y*m + 6 = 2*m - 2*z, 0 = 5*m + 2*z - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(6)\/(sqrt(3)*2)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - i = 0. Factor 1\/4*q**4 + 1\/4*q**5 + 0 - 1\/4*q**2 + i*q - 1\/4*q**3.\nAnswer: q**2*(q - 1)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) + sqrt(2) + sqrt(2))*1.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6060163747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s**3 + 234*s**2 - 219*s + 54 = 0 for s.\nAnswer: 9\/23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:23 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -0.045612?\nAnswer: -0.136836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110385461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-5) - 4\/2. Let u = -0.28 - 2.32. Let j = -5.227 + 2.227. What is the second smallest value in j, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8823, -8832, -8863, -8928, -9039, -9208, -9447?\n\"Answer: -2*m**3 + m**2 + 2*m - 8824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -1.017\nAnswer: -0.9153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x, -w + x - 36 = -3*x. Let d be w\/9*(0 - 1). Let l be (1\/2)\/(5\/(-2)). Which is the third biggest value? (a) d (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/7 + 4*x**2\/7 - x\/7 - 6\/7 = 0?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (23\/(-3))\/1 - (-834)\/18?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*218\nAnswer: 87.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Suppose 0*q = -2*q + 8. Let p(b) = -6*b + q*b + b. Calculate p(v(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ttvvppppp.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 16. Calculate the common denominator of o\/14 - (-21 + 0) and (-622)\/330 - (-15)\/(-25).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-4))\/((-1)\/12). Let c(l) = l**3 + 12*l**2 + 13*l + 5. Let n be c(-11). Let k = n + b. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 5:00 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4052, -2128, -204, 1720, 3644?\nAnswer: 5568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*g - 2*d, -3*g - 5*d = -5 - 0. Sort g, -2, -5 in decreasing order.\nAnswer: g, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1869, 3743, 5619, 7497?\n\"Answer: q**2 + 1871*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-136)\/(-170))\/(2\/5). Suppose 5*i - 5*y = -55, x*i + y = -i - 41. Which is the biggest value? (a) 5 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-4))\/(4\/((-64)\/12)). Which is the nearest to -0.2? (a) 2\/7 (b) r (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756*h + 51 = -739*h. Solve -2*p + h*f + 92 - 74 = 0, 5*f + 8 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 72127682\nAnswer: 21638304.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 6*h + 3. Let c be v(7). Suppose -4*d - 16 = 0, -2*d = -2*w + 7 + 9. Let x = c + w. Is 13 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 + 3 = 0. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*g + 15 = 0, -5*z = -2*z - 3*g - 18. Let b be (0 + -9 - 0)\/z. Let n(w) = -6*w + 640. Let h be n(108). Is h <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20533?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-3*q**2 + 12*q**2 + 3*q**2) + (-13*q + 0*q + q)*(1 + q - 1) in the form p*q**2 + l*q + t and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 21*a + 27. Let b(o) = -25*o - 27. Let f(d) = -5*b(d) - 6*i(d). Give f(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21082?\nAnswer: 2, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134\/160715 or -1?\nAnswer: 134\/160715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13\/7 (b) -8 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2865350.\nAnswer: 2, 5, 17, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 10:35 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18 + (-4)\/(-18). Let v(w) = i*w**2 + 1 - w**2 + 6*w - 2. Let a(b) = b + 10. Let s be a(-6). Determine v(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 14*h - 20. Let s be v(15). Let i(y) = -3*y + 1. Let w be i(3). Let z(q) = q**2 + 9*q + 12. Let p be z(w). Sort 3, p, s in descending order.\nAnswer: p, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eww. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16)*(2 - (-4)\/2). Put 5, n, -3 in ascending order.\nAnswer: -3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 3*c - 21. Give i(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157782214 - -157782212.80999753. Let r = x - -1.19. Round r to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38660712 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -25. Let w = n - -18. What is the lowest common multiple of 1 and (-2)\/6 + w\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -54. Solve 0 = 3*b - q*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 1\/2, 13637, 1\/8, -0.2, 2\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 406 - 406 + 30*x + (-7 - 2 + 2)*(-2*x + 0*x + 0*x).\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*h**5 - 21*h - 5*h**4 + 7*h + 5*h**4 wrt h?\nAnswer: 620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 57 + 81 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2460)\/(-880))\/((5\/100)\/1). Are p and 56 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1735\/980 - -2. Let g = v - -1\/49. Let w = -5\/36 + 61\/612. What is the third biggest value in g, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916 divided by -5.\nAnswer: -916\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 184, 2788, 7244, 13648, 22096, 32684, 45508?\n\"Answer: 16*d**3 + 830*d**2 + 2*d - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 8*z + 2, k + 4*z + 7 = 0. Is -8\/73 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6.5, -1\/2, 0, 2?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ab + -10f?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 10, n: 9}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2958\/123 + (-456 - -432)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 541031?\nAnswer: -3\/541031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*((-296)\/56 + 5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 320.54 - 43.84. Let p = h - 289. Let q = p + 12.2999802. Round q to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.1.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/12 + 6*u**3 + 15*u**2\/2 + 13*u. Let a be y(-17). Let g = -213 - a. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 + 28*f**2\/9 - 112*f\/9 + 128\/9.\nAnswer: -2*(f - 8)*(f - 4)*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose 4*f = o*l - 22, 2*f + 23 = 3*l - 10. Suppose l*i - 7*i = 0. Solve i = b - 6*b - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4) - -1*sqrt(4)*-2))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.97 - 65. Let n = -11 - -11.13. Let s = v + n. Which is the biggest value? (a) 4 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 48, -7, 3 in decreasing order.\nAnswer: 48, 3, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1222749193 to 4 decimal places.\nAnswer: 0.1223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 868435 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1276438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19040*u**3 - 42*u + 1760.\nAnswer: -114240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278.2 - -258. Let q = i - -15.2. Let f = -20 + 20.2. What is the biggest value in -2\/5, q, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z**3 + 191*z**2 - 34*z - 56. Let u be d(-32). Let j(v) = -3*v - 27. Let p(i) = 2*i + 14. Let b(h) = -3*j(h) - 5*p(h). Determine b(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2 - 2*o - 1. Let g(y) = -y**3 - 9*y**2 + 9*y - 6. Suppose 2*m = -2*m - 40. Let h be g(m). Suppose -2*k = -6*k - h. Calculate z(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b - 3. Let p(g) = -1. Let t(v) = -a(v) - p(v). Let h(s) = -8*s - 4. Let n(m) = -2*h(m) - 3*t(m). What is the units digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 523722?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12153, -97270, -328289, -778158, -1519825, -2626238, -4170345, -6225094?\nAnswer: -8863433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -72 and -10234\/141 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 99. Let h be a(19). Suppose 10*q = -3*f + 12*q + 103, -3*f + h = -5*q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 10 = 2*c + 2*n, -3*n = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, r: 3, k: 3, c: 2, u: 5}. What is prob of sequence ru?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 plus -2.9?\nAnswer: 128.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 2. What are the prime factors of t(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6 = -f - 1, -3*f = -4*t - 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13836*q**4 + 720*q wrt q.\nAnswer: 166032*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 79.10661 seconds?\nAnswer: 79106610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 500 - 491. What is the smallest common multiple of 257 and y?\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o*o*o**(-6)*o)\/o)\/(o**(-3\/7)*o))\/((o*o**(-2))\/(o*o**6)))\/((o**(3\/10)\/o)\/(o\/((o**(-3\/4)*o*o)\/o))*(o**(-1)\/o*o)**(-7\/5)) assuming o is positive.\nAnswer: o**(627\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-6)*9\/((-243)\/(-36)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/12*y**4 + 5\/12*y**3 + 1\/2*y**2 + 0*y + 0 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11468735.8 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 2, 46, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 7}. Give prob of sequence ss.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-1))\/1*23880\/(-38208).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 o when three letters picked without replacement from {x: 14, f: 2, o: 1, v: 2}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 3*b**2 + 0*b - 1\/18*b**3 + 1\/720*b**6 - 1\/144*b**4 + 1\/180*b**5 + 0. Let j(f) = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from {b: 4, s: 6, p: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 281 (c) -808\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/2)*l**(2\/75)\/l)\/(l*l**(2\/57)\/l*l*l\/(((l**24*l*l)\/l*l*l)\/l)) assuming l is positive.\nAnswer: l**(22317\/950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 20091. Let f(n) = 4*n. What is f(u(z))?\nAnswer: -12*z - 80364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*a - 24. Let m be (-42)\/a*(-24)\/(-28). Suppose -m*y = i - 158, -4*y = -6*y + 2*i + 74. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5437976554 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5 + 12*q**4 + 37*q**3 - 18*q**2 - 164*q - 120 = 0.\nAnswer: -6, -5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 3*b - 258 = 0. Let s = b - 301. Let n = s - -2371\/11. Is n != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47b + 0?\nAnswer: -47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91\/108 + -1\/108. Let x = 2620\/11 + -238. Which is bigger: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78636, 0, 3 in decreasing order.\nAnswer: 3, 0, -78636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - y + 11. Let n(c) = c**2 - 5. Let l(u) = -6*i(u) - 13*n(u). Let w be l(4). Suppose 4*h - 5*b - 15 = 54, -w = -2*h - 3*b. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/28 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5541602861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0900276*3.\nAnswer: 0.2700828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136342 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v - 4 + 37*v - 8.\nAnswer: v - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*g**3 + 1254*g**2 + 111*g - 30 = 0.\nAnswer: -1\/5, 2\/17, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = 40. Let a be (55 + -3)*f\/12. Let j = 16 - a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/(sqrt(1100) + (sqrt(1100) - (sqrt(1100) - sqrt(1100)*-3))))**2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5\/4 + 145*g**4\/2 + 777*g**3 + 5463*g**2\/2 + 12555*g\/4 = 0.\nAnswer: -279, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 2*g + 16 = 0, 5*h - 14 = -3*g. Let n = 35 - 9. Let w = n - h. Calculate the smallest common multiple of w and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 505 + -382. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let h be (4\/j - -9) + 1. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c - 6*c + 7*c)*(-1 + 2 + 6) + 5*c - 2*c - c + (-2 - 3 + 4)*(-c - 2*c - 3*c).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-5\/3)*c)\/(c*((c\/((c\/(c*c\/((c*c\/(c\/(c*((c*c**(3\/7))\/c)\/c))*c)\/c*c*c*c)))\/c))\/c)\/c*c*c))**(-16\/3))**10 assuming c is positive.\nAnswer: c**(-13760\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 1, 4*u + 4 = 6*u + 2*k. Suppose -u*b - 76 + 439 = 0. Calculate the highest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200382.\nAnswer: 2, 3, 7, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + 246. Let l = n + -104. Suppose i - 3*u - l = 0, 3*i = -4*u + 207 - 49. What is the greatest common factor of i and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*p**3 + 612*l + 7*p**3 + 52 wrt l?\nAnswer: -2*p**3 + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)*n)\/n**(-2\/55) assuming n is positive.\nAnswer: n**(-548\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, 2\/5, 36173 in ascending order.\nAnswer: 2\/5, 7\/6, 36173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.1957 days to nanoseconds.\nAnswer: 29479308480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 69*o = 66*o - 79822, 5*c = -o + 99787. Does 57 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -2\/19 (c) 3 (d) -1 (e) 178389\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**5)*l*l\/(l*l\/(l**(-2\/7)*l)))**(-38)\/((l*l*(((l*(l**4*l)\/l)\/l)\/l*l)\/l)\/(l\/l**(1\/7)))**(-50) assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 14 + 8 + 15*s - 10.\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36489062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 686 or -0.4?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15698957 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 7*b**2 + b**2 + 7*b**2 - 3*b**4 + 1 to the form l*b**4 + a*b + h + r*b**2 + i*b**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.708844 to 1 decimal place.\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**5 + 30*k**4 + 13*k**3 - 12735*k.\nAnswer: -60*k**3 + 360*k**2 + 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.438 - 1.37. Let g = -1.508 + z. What is g rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1849\/4 - -462. What is the third biggest value in -0.124, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (68\/(-8) - -5)*(-4)\/7. Solve -6 = -2*s - 4*k, -k - d = k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -13 - (-1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + f - 109 = -0*f, -2*f = -2*q + 46. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 5*b**2 - 4*b + 2. Let c be t(-5). Let k = 25 - c. Suppose k*p - p - 8 = 0. What is the remainder when 14 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 - -4.2. What is the fourth smallest value in 5, 0, 2, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27418.\nAnswer: 2, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 + 573 = 2*a. Let y = -61 - a. Let h = 388 + y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v + y - 2*y, 2*v + y = -5. Suppose v = 11*d - 16*d - 5. Let l be 34\/(-10) + (-3)\/d. Which is smaller: -0.45 or l?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1053)*1)**2 + sqrt(1053) + 2 + (0 + sqrt(1053) - sqrt(1053)) + 3 + ((sqrt(1053)*2)**2 - sqrt(1053)) + sqrt(1053) + -4*2*sqrt(1053).\nAnswer: -153*sqrt(13) + 5295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - o**4 + 2*o - 15 + 4*o**4 - 4*o**3 - 2*o**4 in the form i*o**3 + j*o + k*o**2 + g*o**4 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29012 or 58023\/2?\nAnswer: 29012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.5735 - 9.0735. Let a be (-976)\/(-14) + 2\/7. What is the closest to -1 in -4, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 4:33 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2578.048 - -2589. Let u = l - -0.048. Which is the second biggest value? (a) -5 (b) -1\/5 (c) 0.1 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-25)*(-1)\/(-4)*2)\/2. Solve y = -57*q + 54*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24))\/(42\/24)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 40 = 4*l. Let o = -25 - l. Let r(y) = y**3 + 6*y**2 + y - 1. Calculate the remainder when 36 is divided by r(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*u - 23*u + 2*u**2 + (15 - 15 + 13*u)*(0*u - u + 2*u) + 0*u**2 - 5*u**2 + 3*u**2 to i*u + a*u**2 + n and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let f = -0.19 + -0.91. Let d = f + 6.1. What is the third smallest value in -2, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 4*w**2 - 3*w + 3. Let b be u(3). Suppose 4*z - 32 = -0. Suppose z - 5 = c. Solve 5*p + 22 = 5*q - c, -b = 2*p + 5*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*n = 2*a - 2, 1 = a + 2*n. Suppose -5*q - 3*p + 5 = 0, -5*q - 2*p = -10 - 0. Put q, a, -3 in descending order.\nAnswer: q, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4*x - 66 = p, -2*p + 2*x = -142. What are the prime factors of p?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 2:48 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 14*s = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/10))\/((b*b**(-1\/2)\/b*b*b)\/b)*b*b\/(b*(b*b**(-3\/7)\/b*b)\/b*b)*b**(-2\/33)*b*b assuming b is positive.\nAnswer: b**(3197\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-25))\/(3290\/2350).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w - 77. Let y be i(14). Solve 10*p = 1 - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 - 3*a + 4*a - 2*a)*(-13 + 5 + 14) as u*a + l + t*a**3 + x*a**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:03 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 s when three letters picked without replacement from {r: 2, b: 1, l: 7, s: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g, -j - j - 5*g + 467 = 0. What are the prime factors of j?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*j + 1 = 0, 2*m - 3*j - 18 = -5*j. Let k(x) = 4*x - 5. Let o be k(m). Solve 0 = v + 4*w + o, 0*v - 4 = 3*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38915 - -38963. Sort 18, r, 0 in descending order.\nAnswer: r, 18, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2 + sqrt(176)) - (0 + -2 + sqrt(176)))*-5)**2.\nAnswer: 6000*sqrt(11) + 110900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -46*v**2. Let a(x) be the third derivative of -x**4\/2 - 2*x**2 + 344*x. Determine l(a(n)).\nAnswer: -6624*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/60*(-15)\/(-6)*-2. Let p(d) = 13*d + 3 + 5*d**2 - 4*d**3 + 2*d + 8 - 4*d + 6*d**l. Let u(z) = -z**3 + 2*z**2 + 2*z + 2. What is -6*p(t) + 33*u(t)?\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -99. Let l be (-200)\/u + 2\/13. Let m = -3 - -3.1. Which is the third biggest value? (a) l (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1999.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 + 4*w - 2. Calculate b(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/(-21))\/((-428)\/3852)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*n - 9 = -2, 2*h = -n + 11. Suppose 0 = h*f - 10, -3*g + 100 = 2*f - 60. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(70)*2*1 - sqrt(70))\/sqrt(10).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 27*t**3 + 5. Let o(a) = 14*a**3 + 5 + 3*a**3 + 13*a**3 + 4 + 24*a**3. Determine 5*o(g) - 9*w(g).\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9614.31 and 0.1?\nAnswer: 9614.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.75 (b) 0.2 (c) -1931 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -250863*s*y - 91491423*s + 76*y**4 wrt y?\nAnswer: -250863*s + 304*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -34*a**2 - 26. Let q(c) = -19*c + 8. What is q(p(x))?\nAnswer: 646*x**2 + 502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265051 - 1265051 + 2*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*n**3 + n - 44 + 43 - 12*n**4 + 11*n**4 + 2*n**2 in the form y*n**4 + a*n + o*n**2 + h*n**3 + p and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o = 5*o + 266. Suppose 26455 = -o*b + 106038. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + y**2 - 2. Let u(a) = a**3 + a**2 - a - 1. Let d(q) = o(q) + 4*u(q). Let n = 79 + -38. What is the remainder when n is divided by d(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/(-297)*(-2)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(2*21\/(-28))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 36*s - 1107. What is a(-56)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7132397 is divided by 3566162?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -10*o**6\/3 - 6*o**3 + 20. What is the third derivative of n(v) wrt v?\nAnswer: -1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - 8*h + 1. Let j be d(-3). Let t = 54 - j. Solve -5 = -t*v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 + 69*i**4 - 135*i**3 + 67*i**2.\nAnswer: -i**2*(i - 67)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21 - 9 = 0. Let n(u) = -10*u + 18. Let c be n(-6). Let g = c - 62. What is the remainder when g is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -663, -522, -277, 78, 549, 1142?\nAnswer: 1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -816337 and 0.23.\nAnswer: -187757.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 7. Let b be j(6). Let u = -14 - b. What is the remainder when u is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:37 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*y + 1 = 0, 4*y + 4 = 2*m - 2. Let a = m - -2. Let c(x) = x + 1. Calculate the remainder when a is divided by c(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 210420415?\nAnswer: -210420413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {z: 2, w: 2, s: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 32*a**2 - 512*a + 705. Let u be v(-44). Let k = -6 - 3. What is the nearest to 0.2 in u, 2\/3, k, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13655, -27475, -41463, -55619, -69943, -84435, -99095?\n\"Answer: -84*b**2 - 13568*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let x(n) = -15*n. Let z(k) = 33*q(k) - 2*x(k). Let v(a) be the second derivative of 5*a**3\/6 - 2*a. Determine z(v(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/((-22)\/10). Let g be (-69)\/(-18) - 1143\/254. What is the biggest value in p, g, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-6)\/45*5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 873, 75, 5 in increasing order.\nAnswer: -5, 5, 75, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 2*y**2 - 3*y**2)*(-y + y + y)*(-1 - 9 - 4).\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 7:27 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = 3*c - 4*s, -3*c - 2*s = -22. Suppose c*b - 46631419 = 7848581. Round b to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 1 - 1. Suppose 3*p - 2*l - 49 = 0, 0 = 2*p + 4*l - 17 - 21. Solve y = -21*a + p*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 229819065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1160, -1145, -1124, -1097, -1064, -1025, -980?\n\"Answer: 3*x**2 + 6*x - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 + 4 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 339 = 5*o, 0 = -2*g - 0*g + 5*o + 157. Let f = g - 111. Let k(u) = -17*u - 2. Let y be k(1). Is y >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132499, -265001, -397503, -530005, -662507?\nAnswer: -795009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 - 352*a**2 - 64*a + 64*a + 383*a**2 to the form t*a**2 + f*a + l and give l.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, -28, -0.1, -25\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -9*l**2 + 201*l - 1764. Give w(9).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11193 divided by 861.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 227*z + 40*z**2 - 40*z**2 + 230*z - 453*z in the form f*z**2 + q*z + n + c*z**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/2)\/8*-16. Does 10 divide ((-36)\/z)\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.040228 - -1.380722. Let m = d - 1.42. What is m rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1070287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.55 + -0.2. Let k = 15 - s. Let o = k + 0.15. Which is the second biggest value? (a) 0 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*3 + 1 + 6. Let s be (a\/(-8))\/((-3)\/24). Solve 4 = 4*p - 4*o, -3*o - 5 = s*p + 2*o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -425.2, -0.4789, -5\/4, 5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/9)\/(-1 + (-10)\/(-6)). Suppose k*j - 23 = -o, -3*o = -0 - 9. Solve 3*q - 5*r + 11 = j*q, 0 = q + 2*r - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3312 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 499\/5 (c) -1.72 (d) -5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -4*p, 2*m - 5*m + 21 = 2*p. Suppose 35*j + 115 = 36*j. What is the highest common divisor of m and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 - -129. What is the nearest to 0 in -4, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**4 + 5434*r**3 + 15189*r**2 + 14096*r + 4336 = 0 for r.\nAnswer: -1084, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 4*y**2 + y + 6. Determine n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4112*p**3 - 4*p**2 - 25*p - 186. Is q(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 = -34*p + 27*p. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -0.3, 2 in increasing order.\nAnswer: -0.3, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5305 = -99*z - 9*z - 493 + 182 for z.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28907*m**2 - 77*m**3 + 28895*m**2 - 57802*m**2.\nAnswer: -77*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -9*j + 12*j, 3*l - 2*j + 33 = 0. Let g(h) = -h**3 - 8*h**2 + 10*h + 2. Calculate g(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14745, 29311, 43877, 58443, 73009?\n\"Answer: 14566*r + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/(-33) - 30\/18. What is the second smallest value in y, -4, -1\/4, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81667, -163334, -245001, -326668, -408335?\nAnswer: -490002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44.000062 + -44. What is i rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:39 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 5*b**3 - b**3)*(4*b - b - b) + (-3*b**2 + b - b)*(13*b**2 - 2*b**2 - 4*b**2).\nAnswer: -23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 511 - 24?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 6*h**2 - 6*h + 16. What is y(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccrrrcrcr. What is prob of picking 3 c and 1 r?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/60 + -1\/15. Let i(o) be the first derivative of 1\/4*o**2 + 1\/12*o**3 + l*o - 1. Solve i(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + 10. Let q(m) = 109*m + 1. Let i be q(3). Calculate the remainder when i\/6*(-9)\/(-6) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, 1.4, -0.11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 48. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -2353*x**4\/4 - 19*x**3 - 3*x**2 + 1993. Find the third derivative of g(o) wrt o.\nAnswer: -14118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + 8\/(-4) + 0. Let k = -6 - o. Determine u so that 8*u - u**3 + u**2 - 2*u**3 - k*u - 7*u**2 + 6 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7575071807?\nAnswer: 307, 1637, 15073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*v + 3 = 3*m - 361*v, 0 = -m + v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/10*(-4)\/(-32))\/((-3)\/(-8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -97. What is the lowest common multiple of 4 and b?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -376*i - 2. Let b(h) = -391*h - 2. Give 3*b(s) - 2*o(s).\nAnswer: -421*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/60 - 17*l**2. Suppose -6 = v - 2*r, -4*r + 22 = 4*v - v. Let c(j) = -4 + 4 - v*j**2. Calculate g(c(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -5459?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 - 114 = 0. Suppose -4 = l - 2*l. Suppose 0 = l*p + b - 78. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abkl when four letters picked without replacement from liblikaklbillillil.\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**14)\/u)**15\/(u**8)**(-4) assuming u is positive.\nAnswer: u**(-178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/6, -41\/5, 3?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 19 = 33. Let a = r + 89. What are the prime factors of a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 80*f - 1322. What is b(16)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*a + 13. Solve 4*x = a*m, 4*m = x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in 5, 0.2, -4\/7, 22, -1585?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - 3*b**5 + 0*b**5 - 3*b**3 + 3*b**3 + b**5 - b**5 - 2*b + 2*b + (3 + 2*b - 3)*(-2*b**4 + 2*b**4 + 2*b**4) - 81126*b**3 + b**5 + 81762*b**3 + 0*b**5.\nAnswer: 3*b**5 + 636*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 13*f + 19. Let c be r(-14). Suppose -100 = -c*q - 0. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.9 + 6.2. Let i = -25 + 26.7. Let m = y + i. What is the nearest to -0.1 in 0.5, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/4 - 2 - (-11)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11211797767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -15. Solve i = 4*t + 14 + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242.38 minus -0.1?\nAnswer: 242.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, k: 2}. What is prob of sequence mk?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 402 - 366.2. Let p = m - 39. Let x = p - -2.7. Which is the second smallest value? (a) x (b) -3\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4335 by -17.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1214223?\nAnswer: -1214222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4.59 times -378.308\nAnswer: 1736.43372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 5:22 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, -282, -783, -1500, -2433, -3582?\n\"Answer: -108*l**2 + 39*l + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1414*((-6)\/(-8))\/((-5)\/30). Let w = d - -9232. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, u: 9}. What is prob of sequence jj?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 + -200511?\nAnswer: -201245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*j + 48, 4*j + j = 20. Suppose -17*v + g = -15*v. What is the second smallest value in v, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 + -1. Let r = 103 + d. Let a(o) be the first derivative of -o**4\/4 + 2*o**3\/3 - o**2\/2 - 2*o + 2. Calculate a(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 + t**3 - 3*t**2 + t**3 - 3*t**3 - t**2 + t**2 + (-2*t**2 + 4 - 4)*(-t - t + t) to h*t**3 + z + u*t + j*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3 - 2676*i**2 - 40562*i - 37884 = 0. Calculate i.\nAnswer: -14, -1, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6\/(-4)*(-1840)\/1380.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -44241832.6483+113.1\nAnswer: -44241719.5483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 724979075 to the power of 1\/3, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/10 - 294\/(-70). Solve 3*s + 1 = 2*g + 5, 2*g + 12 = n*s for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/67 or -1?\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - -174. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1 + sqrt(17) + -1)**2 + -2*sqrt(612)).\nAnswer: -72*sqrt(17) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**5*u**(-4)*(u**(-3))**(-26\/9))**5 assuming u is positive.\nAnswer: u**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 12466578.18?\nAnswer: -12466582.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 793 and 1781?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*15\/(-6)*-18. Let f = 256 + a. What is the greatest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, z: 4}. What is prob of sequence szzs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 3*q + 13279 - 13536, -3*i = -22*q + 3*q + 1647 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53697573 and 6186?\nAnswer: 3093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 times -1?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53242522 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-2*-4*(-9)\/(-1080)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/(-4))\/((-42)\/(-28)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = y - 4*t - 5, 4*y + 5*t + 11 = 0. Sort y, -1, -2\/7 in descending order.\nAnswer: -2\/7, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + 5*f + 16*f)*(-3*f + 0*f + 2*f) - 7*f**2 - f + f + (-5 - 2 + 5)*(0 + 0 + f**2) + f**2 + 4*f**2 - 4*f**2 to l*f**2 + b + k*f and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + (-64 - -146) + -61?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 3*z**2 + 6. Is x(3) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.5. Let r = -5 + 5. Let v be 0 - (r - (-6)\/(-15)). What is the third biggest value in v, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02095433 rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 36 = 4*i, -3*r - 10 = -6*i - 46 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13019\/20 - 3251\/5. Which is the nearest to -1\/33? (a) 3 (b) f (c) -7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 2*v - 1. Let a be f(-1). Let j = 6 + -2. Find the third derivative of -37 - j*p**2 + 2*p**a + 37 wrt p.\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x - 5. Suppose q = -0*q - 5. Let l = -40 - -24. Let j(u) = -75 + 22*u - 52 + 143. Calculate l*v(r) + q*j(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 8*x + 15. Let c be l(-9). Let u(n) = 19 + 26 + 1 + 7 + c*n. Let m be u(-9). Are m and -4\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(260)\/sqrt(20).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose 0 = -x*l - 5*t - 9, 5 = -5*l - 6*t + t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1112)\/(-56) - -9) + (2085\/(-105) - -19)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22166, -89450, -201642, -358742, -560750?\nAnswer: -807666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**3\/2 - 1755*a**2 + 3515*a\/2 = 0.\nAnswer: -703, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/60 - f**4\/12 + f**3\/6 - 5*f**2 - 10. Determine w(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24298, -24299, -24300, -24301, -24302?\nAnswer: -24303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let m(r) be the third derivative of 0*r + 0*r**4 + 1\/6*r**5 - r**2 + 0*r**3 + 24. Determine m(t(j)).\nAnswer: 40*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, -1\/4, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l + 17628 = -23*l. Let u = -1541 + l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/1196 - 15\/92. What is the nearest to 1.5 in r, 3\/5, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 569 + -460. Let d = a + -107. Put 4, -3, -0.5, d in descending order.\nAnswer: 4, d, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 2. Let x be p(2). Let n = x - -10. Solve 2*i - i + 5 = n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 8:55 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 486*t + 332. Calculate g(61).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7*f = -2*f + 205, 2*f - 8 = 0. Suppose h + l = 6*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t - 33. Let b be k(7). Let y be (11 - b) + 2 + (-2 - -3). Let j(x) = -x**2 + 7*x - 9. Let w be j(6). Put w, y, 0 in decreasing order.\nAnswer: y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243199?\nAnswer: 293, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/2*(-12)\/(-25). Let w = h - -13\/15. Let v = 223\/678 - -1\/226. Which is the closest to v? (a) -3 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 17*p + 5. Suppose -18 = -10*w + 7*w. What is the remainder when w is divided by a(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*x**2 - 15391*h**2 - 12*h*x**2 + 1141*x wrt x.\nAnswer: 4*h**2*x - 24*h*x + 1141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2659 = -2*i - 7*i + 2686 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3028, -1508, 10, 1526, 3040?\n\"Answer: -z**2 + 1523*z - 4550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, 0.09 in decreasing order.\nAnswer: 2, 0.09, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbfxggg. Give prob of picking 1 x and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -152\/3 or -52?\nAnswer: -152\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61020575 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162033.\nAnswer: 3, 54011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 13 - 2 - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2694\/9 + -1 + (-16)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*r - 20 = 0, -11*z = -7*z + r + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264075 divided by 3.\nAnswer: 88025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 s, 1 a, and 1 q when four letters picked without replacement from uqjajaaaasjsa.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 + (1 - 3 + 5)*(5 - 1 - 2) - 2 - 1 - 2)*(-2 + 1 + 0)*(5 - 5 - 3*u**2).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267755047.\nAnswer: 7, 61, 163, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - f**2 - 6*f**2 + (-4*f + f + f)*(3 - 3 - 2*f) - 1 - 2*f**2 + 1 + (-2*f + 4*f - 3*f)*(-f - 4*f + 6*f).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 96638740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130212 (base 4) to base 13.\nAnswer: aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -13, 1, 80, 2 in descending order.\nAnswer: 80, 13, 2, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -51, 10898, 0.4 in decreasing order.\nAnswer: 10898, 0.4, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 + 4*a**2 - 4*a + 4. Let d(h) be the second derivative of -3*h**5\/20 - h**4\/4 + h**3\/2 - 3*h**2\/2 + 4*h. Give -4*d(j) - 3*k(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 238, 175, 70, -77, -266, -497, -770?\n\"Answer: -21*c**2 + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-60))\/((-60)\/720).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9425698 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 23. Let a be y(8). Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40560 and 6240?\nAnswer: 81120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from {p: 2, n: 1, x: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*w + 165 + 65 + 60 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5136438, -0.4, -5 in descending order.\nAnswer: 5136438, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09 (b) -4603 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01044673508 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 408575113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 2, o: 1, s: 1, v: 1, t: 3}. Give prob of picking 1 v and 1 p.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -3101313 (base 4) in base 13?\nAnswer: -6162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 - -151\/2. Let g be 1 + (-2 - 3) - -3. Let t be (-4)\/(-12)*(-3)\/g. Which is bigger: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663024463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -24*c - 20160. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641850791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6 - 10*n**2 + 2*n**2 + 6*n**2 - 6*n - 3*n**2. Let r(y) = -10*y**2 - 13*y + 13. Determine -6*r(j) + 13*w(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/10*100\/10. Let n = -4 - m. Let d(u) = -2*u + 2. Suppose -2*k = v + 3, -2 = 5*k - 6*k. Let s(y) = -y + 1. What is n*d(c) + v*s(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 27 = -35*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/281421 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82348 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2474 - 837 - 810 - 827 - d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -5) + 29 + -19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 20787 = 19687 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2191*t - 70*t**5 + 68*t**5 + 18*t**3 + 2199*t - 22*t**2 - 2*t**4.\nAnswer: -2*t*(t - 1)**3*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + 30*v**2 - 27*v - 80. Let w be d(-13). Is w > 947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uayaueyyaehyyhyee. Give prob of sequence yh.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 - 4*f - 1. Suppose 5*s - 4*w - 4 = -45, 2*s - 5*w = -30. What is the remainder when n(s) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027659?\nAnswer: 2027659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -3. Suppose 4*c + 4*m + m = -f, -c = -2*m + 1. Let x be 29 + (1 + -2)*c. Calculate the highest common factor of 12 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a + s + 31 = 0, -2*a = -3*s - 65. Solve 10*g + 18 = a*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7355, 0.4, 1\/397, -5, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*((-24)\/(-64))\/(15\/(-4)). Let s = -165\/26 + 13\/2. What is the nearest to a in 1, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 5, -55, -5 in ascending order.\nAnswer: -55, -5, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -149105\nAnswer: 3\/29821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1930*o - 1930*o - 205*o**3)*(-6*o + o + 3*o).\nAnswer: 410*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.07014 times 0.4\nAnswer: 0.028056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**8\/28 + k**7\/105 + k**6\/45 - k**5\/90 - k**2 + 6. Let y(p) be the second derivative of o(p). Solve y(z) = 0 for z.\nAnswer: -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14418151*x**2 + x + 75417109 wrt x?\nAnswer: 28836302*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20006, 20012, 20022, 20036, 20054, 20076?\n\"Answer: 2*q**2 + 20004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 228\/133 + 0 + (-4 - -2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214968020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t + 2*t**3 - 7*t**3 - 256 + 256 + (-2*t**2 + 3*t**2 + 0*t**2)*(1 - 1 - 7*t) + t**3 + 0*t**3 + t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 172, 0, -5, 7, -1\/2, 2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let z(r) = r**2 + 9*r. Let a(j) = -17*j + 132. Let i be a(8). Let n(h) = i*o(h) - z(h). Suppose n(m) = 0. Calculate m.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 23. Suppose 3*y + 2*y = r. Sort 4, -3, y in decreasing order.\nAnswer: y, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 1530*l**3 - 4430*l**3.\nAnswer: -5960*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1320\/(-198))\/((-55)\/627)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74450745 = 15*a - 178*a + 28*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -766 in ascending order.\nAnswer: -766, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 19*p - 2269 = -4*z - 2265, -2*z - 2*p + 12 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 + 37. Let l = 37 + c. Let g = l - -16.1. What is the second smallest value in 0.5, g, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 2*d + 1. Suppose 3*z - 2*z - 6 = 0. Suppose -5*k - 11 = -z. Calculate r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p - 9. Let u be d(4). Suppose u = 2*m - y - 38, 0 = -4*m + 4*y + 108. What is the greatest common factor of m and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 1032.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132312 and 44104.\nAnswer: 132312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 24. Suppose 2*m - f*y + 6 = 0, 4*m - 13 = m - y. Suppose 4*l - 4*t - 24 = 0, 2 = m*l + 5*t - 0. Solve l = 2*v - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 333163448?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 1564*a**5\/5 - 1381*a + 2027. Differentiate c(z) wrt z.\nAnswer: 6256*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/120 + q**5\/12 - 7*q**4\/12 + 11*q**3\/6 + q**2 + 49. Let l be u(-7). Solve n = -w - 5 + 1, -2*n = 5*w + l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170136 and 816?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (-3*sqrt(1700))**2.\nAnswer: 15299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 33 = -0*u - 2*u, -3*u = -3*w + 27. Suppose -6 = -w*r - 1. Suppose -8 + r = -y. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.2 - -32.95. Let q = 0 + 0.25. Let n = z - q. Which is the closest to -0.1? (a) -0.4 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*4.6018.\nAnswer: 115.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 9, 2 in ascending order.\nAnswer: 1.2, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven halves of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 11 = -m, -m = 3*u - 2*m + 13. Let p = u + 2. Is 22 + 3\/((-6)\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 22*u**2 - 19*u - 6. What is the smallest common multiple of g(21) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1121 in 5, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*4 + (sqrt(19) + 1 + sqrt(19))*-1)**2.\nAnswer: -28*sqrt(19) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/8 - 2)*4. Suppose -h = -2*w + 27, -2*w - 2*h + 6 = -30. Solve -24 + 9 = -s*k - 5*u, k = 2*u - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 2205317178.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 6*c - 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (-1*sqrt(384) + sqrt(6)))\/sqrt(3).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(7 - i**3 + 5*i**2 - 7).\nAnswer: i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/20 - (-1 - (-9)\/3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*u - 456*u - 50721 = 972*u for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c + 2. Let b(n) = -6. Let y(f) = -2*f + 31. Let d(k) = -10*b(k) - 2*y(k). Let h(m) = -4*d(m) - 5*v(m). Calculate h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 20.9. Let u = -8402 - -75619\/9. What is the second smallest value in -3\/4, w, u, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 985097\/9 - 109275. Let n = -180 + u. Which is the second smallest value? (a) n (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -446.\nAnswer: 5\/446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 4*g + 44. Suppose -52 = g*a - 184. Calculate the greatest common factor of a and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 - u**4 - u**4 + (4*u**3 - 2*u**3 - 3*u**3)*(-u + u + 2*u) + u**3 - u**3 - 2*u**4 + (-2 + 2 + 2*u**3)*(5 + 3*u - 5) + 7*u - 9*u**4 - 7*u.\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -43664, -0.0347, 4 in increasing order.\nAnswer: -43664, -0.0347, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11944841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*h + 12, h + 13029795 = 13*l + 13029845 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6) - (-1375)\/30. Suppose 4*v - 6 = -l. What is the remainder when 25 is divided by (2\/(-3))\/(v\/135)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00242868754 rounded to six dps?\nAnswer: -0.002429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 226549010 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let b(c) = 460*c. Determine b(w(s)).\nAnswer: 460*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2 - 60*t + 42. What is o(-21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -245, 2 in increasing order.\nAnswer: -245, -8, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (152 - 2719*z - 1279*z - 152 - 143*z)*(-10*z + 11*z - 2*z**2 + 3*z**2) to the form k*z**3 + v*z + u*z**2 + g and give k.\nAnswer: -4141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let o(c) = 5*c**2 + 3. Let f(y) = 4*y**2 + 2. Let i = -2 + 5. Let z(t) = i*f(t) - 2*o(t). Calculate v(z(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = -32. Suppose -3*k = -7*k + r. Suppose -54 = -k*f - 0*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6587*v**5 + 2*v + 935.\nAnswer: -131740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/(8\/(-6)). Let m be 246\/378 - 9\/21. Put m, -3\/7, l in increasing order.\nAnswer: -3\/7, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12173269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*d**2 - 3*d**3 - d**3 + 2*d**3 - 3*d**2 wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 9*u - 132 + 261, 76 = -2*d - 5*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 3. Let y(d) = -2*d - 8. Let b(o) = 8*n(o) + 3*y(o). Let w be b(2). Solve 25 = -w*r - r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 88. Suppose -2*q - 2*a + a + l = 0, -3*a + 27 = 2*q. Let t(r) = -r**2 - 6*r + 11. Let p be t(-7). Solve p*o - q = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 54*p - 1. Let w(a) = -a - 2. Let n(q) = t(q) - 3*w(q). What are the prime factors of n(6)?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53315 (base 6) to base 15.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125218340 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 + 22 = 0. Let k = 10 + b. List the prime factors of (-3)\/k - (-38)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 25. Let h(f) be the second derivative of -1\/135*f**6 - 2\/45*f**b - 2\/27*f**4 + 0*f**3 + 0*f**2 + 0 + 2*f. Factor h(v).\nAnswer: -2*v**2*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/254 + 75504\/(-10818368).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -30, -111, -264, -513, -882, -1395?\nAnswer: -2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 13362241 and 13362239 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*o - 140*o = -14911. What are the prime factors of o?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 226717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -11. Let y be 3*(z\/(-6) + 0). Suppose 6*l = y*l. What is the third biggest value in l, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297282212?\nAnswer: 2, 433, 171641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 256 = 42*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - ((3 - 31) + 12)) + 64 + (7 - -4).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738*b - 126 = -774*b - 2*u - 36, 9*u - 71 = 2*b + 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (534162\/(-508))\/(-701)*(2\/(-24))\/((-2)\/148)\nAnswer: 37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -50\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -3*s - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -376803, -753615, -1130427, -1507239?\n\"Answer: -376812*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -4376.\nAnswer: 13128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-76)*(-838242)\/1029420\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 25. Give o(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 - 16. Suppose -3*z = -a - 12. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-3)\/288*6).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281.6 + 268. Let w = 13.5 + a. What is the closest to w in -0.3, 2, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - r**2 + r - 11. Suppose -12*j = -23*j. Give z(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - z)*(22 + 18 + 24).\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1402594 and 55\/3033?\nAnswer: 12623346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 96335235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 7. Suppose 0 = -810*d + 803*d - 7. Determine m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 3 - 3)*(1 - 1 + 2*h) + 4*h**2 - 5*h**2 + 0*h**2 + 4 - 4 - 3*h**2 - 3*h + h + 0*h - 2*h**2 to c*h**2 + g + p*h and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2007 + -12041\/6. Factor 1\/6*j**2 + p*j**4 - 1\/3*j**3 + 0 + 0*j.\nAnswer: j**2*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013 - 0.82218\nAnswer: -0.83518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 2 - (-15397126 + 0). Suppose -3*c - 11302877 = m. What is c rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 711, 1323, 1731, 1833, 1527, 711, -717?\n\"Answer: -17*y**3 + 731*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1470616 to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.65775 - -0.15775. Which is the closest to -1\/2? (a) -8 (b) v (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 - 3*c**2 - 3*c - 3. Let r be 4 - ((-15 - -21) + -5). Give u(r).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1*(-8 - -5). Let b(x) = -2*x**2 + 2. Let q be (0\/4)\/((-8)\/12*3). Let u be b(q). Solve -2*p + o*n - 1 = 0, u*n - 8 = -5*p - n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1056\/(-6500))\/((-4)\/10). Let k = -2\/325 + z. Let l = -10422 - -375193\/36. Which is the biggest value? (a) 0 (b) k (c) l (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/((-28)\/(-12) + -3). Let k = v - -21. Let a be (-32)\/k - 0 - -1. Sort 1\/4, -2, a.\nAnswer: -2, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2\/2 + 1. Suppose -4*o + 32 = -3*m, 6*o - 24 = 2*o + m. Let b(h) = 7*h - o*h + 0*h - 3*h. Calculate 2*a(r) - b(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2365, -4738, -7119, -9514, -11929, -14370, -16843, -19354?\nAnswer: -21909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 30080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -211200200 (base 3) in base 7?\nAnswer: -66141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*p**2*u**2*v**2 + d*p**2*v**3 - 2*d*p*v - 2401*d*p - 5*d*u**2*v + 665*d*v**3 + 88*p*u**2*v**3 - u*v**2 wrt v?\nAnswer: 6*d*p**2 + 3990*d + 528*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -17 (b) 57 (c) 8 (d) 1 (e) -0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -34*u + 80. Let q(z) = 7*z - 16. Let t(f) = -3*i(f) - 14*q(f). Let g be t(5). What is the third biggest value in -4\/5, g, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = -82 + 2944. Suppose -112*t + 792 = -k*t. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 + i - 1. What are the prime factors of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65685756 and 40.\nAnswer: 656857560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -895435.6544 and -0.1.\nAnswer: -895435.7544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1667*a**2 - 1647?\nAnswer: 3334*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1114310344?\nAnswer: 2, 7, 59, 337261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 107239 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1478.4894ms to minutes.\nAnswer: 0.02464149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1340 and -111\/79730.\nAnswer: 159460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-54)\/(-42)) + (-5)\/7. Let y(w) = -17*w + 1. Let p = 11 + -5. What is the smallest common multiple of y(b) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**2\/2 - 6603*c\/2 + 13230 = 0?\nAnswer: -2205, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/708 and -1\/136526.\nAnswer: 819156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438 and 730?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**4 + 354*u**3 + 8961*u**2 + 8610*u = 0.\nAnswer: -82, -35, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-3)*-1*1\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1116921018 rounded to 5 dps?\nAnswer: 0.11169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 485294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/54 and -1\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-203)\/87*(-30)\/35\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*i - 10, -5*i = -3*y + 4*y - 6. What is the third biggest value in 5\/4, y, 1.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -1. Solve -m - 2*m = -2*x - 12, 2*x = u*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15932 - 15924. Which is the nearest to -4? (a) -0.5 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -222 + 128. Let r(t) = -t**3 + 3*t**2 + 4*t + 4. Let g be r(4). What is the units digit of g\/(-12) - s\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 8. Let t be z(-4). Suppose 3*f + 4 = t*f. Find the first derivative of 0*x**2 - 1 + 2 + f*x**2 wrt x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + (2 - (3 + -3)). Let w(n) = -n**3 - 2*n**2 - 4. Determine w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/15)\/((-3)\/78). Let l = 155\/9 + o. Let n be 4\/(-8) + (-1)\/(-6). Is l greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.5159 - -0.3841. Which is smaller: 2\/21 or b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 606871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a. Let m(f) = -26*f + 39. Let c(d) = -d + 3. Let z(s) = -13*c(s) + m(s). Calculate w(z(h)).\nAnswer: 104*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 38.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/4 + p**2\/2 + 5*p - 5. Let c be r(0). What is the second derivative of -2*q - 2*q + 3*q**c + 3*q**5 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*n - 17. Let y(j) = j - 11. Determine y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + b - 78, -3*b = 2*m - m + 25. Let x = m - -506. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 24*m**2 + 12*m - 27. Let o be k(25). Let y = o + 358. Solve -g = -y + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3719, -5761, -7803, -9845, -11887, -13929?\n\"Answer: -2042*r - 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81849666 and 20820?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 441813.4nm?\nAnswer: 0.0000004418134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -18. Suppose -10 = 2*z, -h = 4*g + 3*z - 6. Suppose -2*q + 4*n + n + 31 = g, -2*n = -2. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4567 is divided by 2259.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 112 = -4*z + 1015, -2*z + 1204 = 4*m. What are the prime factors of m?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 15387.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d - 868 = -53*d. Calculate the remainder when 147 is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25825.\nAnswer: 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(847)*-2 + -5)**2.\nAnswer: 132*sqrt(7) + 3397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1) - 1\/1. Let r be ((-6)\/(-4))\/(2\/a). What is the third biggest value in 4, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 21 - 19. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84373, 84598, 85217, 86428, 88429, 91418?\nAnswer: 95593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 360247444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -179*o + 2520. What is g(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -9. Let r be (-16)\/70 + 44\/(-220). Put 5, r, -1\/2, n in increasing order.\nAnswer: n, -1\/2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from mgmvgmgvvzggg.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {u: 9, r: 3, z: 1, i: 4, c: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.034255 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.12 - -0.12. Let c = j + 1.92. Round c to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1706*v**2 - 277*v**2 - 286*v**2 - 304*v**2 - 7 - 115*v wrt v.\nAnswer: 1678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34164 - 102478\/3. Let i(j) be the first derivative of m*j**3 - 4 - 41*j + 0*j**2 + 1\/4*j**4. Differentiate i(s) with respect to s.\nAnswer: 3*s**2 + 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05621251 - 685.9\nAnswer: -685.95621251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614464121*d - 1228928248*d + 614464123*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 2*y + 20. Let t be j(19). Suppose u + 2*v - 159 = 0, -t = -4*u - v + 293. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8315999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 19*v + 20 - 6. Let h(m) = m + 5. Let j(z) = -2*z - 5. Let o(w) = 2*h(w) + 3*j(w). Let t(x) = -11*o(x) - 4*s(x). Give t(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.017 (b) -0.5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21b - 4?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (11 - (16 + -11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:58 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0292 (b) -2\/9 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 3, 1\/5, 32?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1718 - -1723. Solve i = -5*o + 10, 15 - f = 5*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90591*m + 8075 = -90566*m. What is the remainder when m is divided by 265?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 4*x**2 - 4*x. Let v(n) = 8*n**3 + 11*n**2 + 11*n. Suppose 0 = -2*o + 2 + 6. Let m = -19 - -13. Let s = m + 17. Determine o*v(k) + s*h(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -13*k - 246. Let s = k + 95. Find the second derivative of 2*v + 100*v**5 - s*v**5 + 16*v wrt v.\nAnswer: 460*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*h - 181, -3*p + 93 = -4*p - h. Let z = -42 - p. Suppose 4*f - 2*o = 20 + 26, 3*f - o = 33. What is the highest common divisor of f and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 909 - 591. Let x = 43 + -234. Let p = g + x. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*o - 184 = 0, -4*o + 7 = -1. What is the highest common factor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 262 - 154. Suppose 4*i = z + 140. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 1025 + 26783. Suppose 0 = -4*c, 5*c - p = -4*t + 6*c. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 7430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) 1 (c) -4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-560 - 18*y + 560)*(0 - 3 + 2)*(-2 + 2 + 1).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*a - 76*a - 80*a + 3330 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.17 in -0.3, 5, 3\/2, -1\/20, -0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12251719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 144*i**2 + 92*i - 39. Is w(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -392\/79 + 43366\/8453. Let u = f - 4423\/214. Find the common denominator of 29\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11100010100001110011 (base 2) to base 10\nAnswer: -927859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 115 and 30?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 4 (c) -1\/2 (d) -1\/10 (e) 0.034\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7878402 divided by -2\nAnswer: -3939201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/30 + 11*h**4\/24 - h**3\/6 + 2460*h**2. Let s(o) = -o**3 + o**2 - o - 1. Give -d(u) - 2*s(u).\nAnswer: 2*u**3 - 9*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000300611625 rounded to 7 decimal places?\nAnswer: -0.0003006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, 147, 546, 1267, 2406, 4059?\n\"Answer: 16*y**3 + 17*y**2 + 10*y - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39553.\nAnswer: 37, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What is the closest to 1\/4 in 6\/5, 2\/5, 11.4, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -25.17 (c) -7 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -385 + 387. Calculate the highest common divisor of 62 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -63. Suppose -5*g = 4*w - 18, -21*g + 2 = -l*g - 4*w. Solve 2*u = -g*j - 8, 0 = 3*u + 3*j + 2*j + 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/16305784?\nAnswer: 3\/16305784","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 6073052*p - p**2 - 6073052*p. Let i(g) = -123*g - 37. Give h(i(l)).\nAnswer: 15129*l**2 + 9102*l + 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 10) in base 4?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -69. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250\/14880 + -12 + (-9)\/432*-573?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2704 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 3. Let s be z(3). Let v be 0 + (-4)\/2 - s. Let c be ((-3)\/18)\/(20\/90). Is v less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.313 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35120.\nAnswer: 2, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2882743 is divided by 720603?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**3 + 0*o**3 + 0*o**3 + (2*o**2 + 0 + 0)*(-3*o + 0*o + 5*o) - 2*o**3 + 0*o**3 + 4*o**3)*(443*o + 622*o + 349*o).\nAnswer: -4242*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64574\/18 + ((-35)\/(-63) - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -7*l - 30. Sort -5, 4, 1, l in descending order.\nAnswer: 4, 1, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(6*(sqrt(121)*1 - sqrt(121) - sqrt(121) - sqrt(121))*1)\/(-3*sqrt(11)*1 - 6*(sqrt(44)\/sqrt(4) + sqrt(11))).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Suppose 44 = 3*c + 2. Suppose 3*g - c = -2. Let h(a) = 0 - 4 + 4*a + g. Determine u(h(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 684*p*z**5 + 45*p*z**2 + 45*p - 26*z**5 + 3*z wrt z?\nAnswer: 41040*p*z**2 - 1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010023203 (base 4) in base 13?\nAnswer: 2b40bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - -0.05. Let f be (7\/21)\/(-1) - 1\/(-12). What is the nearest to -1\/4 in k, 0.07, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. What is the remainder when (-6)\/18*(-88 + 1) is divided by (f\/2)\/(2\/(-32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 134\/27?\nAnswer: 134\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeooeaeztezfzof. Give prob of sequence ot.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -3409?\nAnswer: -3415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31133 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23005 and 203764487?\nAnswer: 4601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 10. Let r be n(6). Solve 0 = -r*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 + 139. Let d = 21 - u. Solve t - j = -t - 11, 2*t + d*j = 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, m: 4}. Give prob of picking 2 m and 2 s.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43219, 86840, 130461?\nAnswer: 174082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3\/2*s + 2*s**2 - 1\/2 = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*t = -w + 55, -360 = -5*w - 3*t. Calculate the highest common factor of w and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6 + 5.1. Put l, -1\/5, -3\/5 in descending order.\nAnswer: l, -1\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83481?\nAnswer: 3, 27827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvtovqqq. What is prob of sequence qtq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*u + 3. Let f = u - 1. Is f at least as big as -7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from tmmmtxb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3 + 2239940*a**2 - 156*a + 10178 wrt a.\nAnswer: 12*a + 4479880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 137 + 139 - 18*d)*(-8 + 8 - d**2).\nAnswer: 20*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*o - 150*o + 574. What is the remainder when 400 is divided by o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.9 - -9.1. Let u = h - 10. Let b = u - 2.5. Sort -5, 1, b in ascending order.\nAnswer: -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/3)\/5*(-27)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(-4*sqrt(576)).\nAnswer: -sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 + 5*n + 2. Let b be v(-5). Let t(y) = y - 6*y + 6*y - 4. Calculate t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -0.3. Let r = -24.4 - -25.4. Which is the closest to -21? (a) 0.4 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u - 236816 = 12*u. Does 76 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:55 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 8\/225*f**6 + 0 - 1\/6*f**5 - 1\/315*f**7 + 19\/45*f**4 + 8\/15*f**2 - 28\/45*f**3 - 10*f. What is y in c(y) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/19633 = 551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8.3. Put 0.3, y, -0.05 in decreasing order.\nAnswer: 0.3, -0.05, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430958002?\nAnswer: 2, 97, 2221433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3219671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 540*a**3 + 13815*a**2 - 109280*a + 96000.\nAnswer: 5*(a - 75)*(a - 16)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1*6\/((-42)\/(-12761)) 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 16334 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61094?\nAnswer: 2, 11, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25 + -3 + (0 - -1). What is the greatest common divisor of g and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.2360672 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 6*k**2. Let j be p(-6). Suppose -2*m - 4*z + 236 = -j*m, -88 = -m + 4*z. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*((h\/h**(-14))\/h)\/h*h*h**2)\/(h*h\/h**(-3\/8))**(-12\/5) assuming h is positive.\nAnswer: h**(227\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, s: 2, r: 4}. What is prob of picking 2 n and 1 r?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-9) + -1 + 214\/28. Let z = 22\/7 - u. Which is the second smallest value? (a) z (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**16)\/n**(-6\/11))\/(n**(-3\/2)*n*n)**41 assuming n is positive.\nAnswer: n**(-769\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 16, i: 4}. What is prob of sequence uuuu?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 4*g - 1. Let i be h(-6). Suppose -n = -d + i, 2*n - d = 4*d - 13. What are the prime factors of (-30)\/(-4)*n\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2961380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 120. Find the common denominator of -23\/33 and ((135\/u)\/(-9))\/(9\/178).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -32.94976. Let n = -0.05 + p. Round n to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20086 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2349865, -9399460, -21148783, -37597834, -58746613, -84595120, -115143355?\nAnswer: -150391318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/3)*r**1*r*(r*r**(-1\/21))\/(r*r**(-4)))**22 assuming r is positive.\nAnswer: r**(660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001001 - 10001010?\nAnswer: 1110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(1331) + 2 + (sqrt(1331) - (sqrt(1331)*-2 + sqrt(1331) - sqrt(1331))) - (4 + (-1 + sqrt(1331) + -5 - sqrt(1331))))**2 + -1.\nAnswer: 792*sqrt(11) + 21376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*v = 2*v + 52, -5*v = -5*l + 200. Let w = l - 42. Solve y - 3 = -w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 561888 and 1194012?\nAnswer: 9552096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m + 96. Let f be z(9). Let k be (9\/(-3) - -3) + 6. Let j = k - f. Solve 0 = -j*b + b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80091, 80086, 80083, 80082?\n\"Answer: j**2 - 8*j + 80098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -111566604?\nAnswer: 111566604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 - 2*u**3 + 389543*u**2 + 3516125*u wrt u?\nAnswer: 24*u**2 - 12*u + 779086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.2163\nAnswer: -0.2163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.84 and 2.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19917828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(sqrt(112)*1))\/(sqrt(243) - (sqrt(243) - -5*(sqrt(243) + -1*sqrt(243) + sqrt(243)))).\nAnswer: -sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -38*(-2)\/(-18) + 4. Which is the nearest to q? (a) -5 (b) -0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 8561292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4 - 2*n + 2*n**3 - n**3 + n + 4*n**2 - 1. What is the units digit of c(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363697*k + 0 + 0 + 363658*k.\nAnswer: -39*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 17*f + 1 - 4*f + 14*f in the form g + i*f and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8715)\/(-830))\/((-7)\/12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6136612 is divided by 158?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 19 = -3*f, 2*g + 3*f = -19 - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 3 + 100\/4. Let i(f) = 3*f - 8. Let n be i(7). Calculate the greatest common factor of n and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 8, 2\/11, -0.9, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -52 + 0\/(-3 + 0\/3). Let j = 131 + a. Suppose 95 = 5*y - 4*r - 9, 3*r + 3 = 0. Calculate the remainder when j is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 452512173*b*h + 47451118*b wrt h?\nAnswer: 452512173*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = 7*p. Let q = 7 - p. Calculate the highest common factor of 14 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*2\/12*6 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/4, 176, -0.1.\nAnswer: -1\/4, -0.1, 1, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002453477 rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 329.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -1\/3, 2\/21, 706?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1776)\/2220*1*3.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 16*y**2 + 34*y + 8. Suppose 45 = -5*w + 50. Let b(x) = x**2 + x + 2. Let u(f) = w*j(f) + 5*b(f). Factor u(d).\nAnswer: 3*(d + 1)*(7*d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(0 - (-9)\/(-30)). Suppose -3*c = -2 - 10. What is the second smallest value in c, k, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-14) - 870\/(-42) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 981\/(-6)*2\/3. Suppose 2931 = -52*y - 2165. Let q = y - i. Solve -4*z = -0*l + 5*l - 16, -z + q = 3*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-51)\/3)\/(4 - 5). Let p(u) = 16*u + 6 - u**3 + 0 - o*u - 2. Let w(g) be the third derivative of -g**6\/120 + g**3\/6 + 2*g**2. What is p(z) - 2*w(z)?\nAnswer: z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*c*g**3 - 5*c*g**2 + 68*c + 17*g wrt g?\nAnswer: -516*c*g - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1b8443 (base 15) to base 9\nAnswer: 2467820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2. Let z(h) = 321583*h**2 + 14. Determine z(q(x)).\nAnswer: 1286332*x**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 = 5*p + 2*p. Suppose 3*u = 45 + 15. Calculate the remainder when p is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 3. Let r be d(5). Let y = 5 - r. Let p = -642\/5 + 128. Which is the biggest value? (a) p (b) 4\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4 + s**3 - 237*s**2 + 236*s**2 + 6 + 4*s. What is l(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86451552*y - 86907424 wrt y.\nAnswer: 86451552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313584*a**2 - 313112*a**2 - 73 + 73.\nAnswer: 472*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**2 + 1. Let n(h) be the third derivative of h**5\/60 - 561*h**2. Give k(j) - 2*n(j).\nAnswer: -11*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 - 10*f + 5. Let k be n(7). Let c = 67 + k. Is c\/(-8) - (-1719)\/(-24)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 52261740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-10*d - 9*d + 6*d).\nAnswer: 26*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 11. Let g(o) = -o**3 + 6*o**2 - 4*o - 5. Let i be g(5). Which is the closest to i? (a) 0.4 (b) n (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*k*o - 980*a*k + 18866*a*o + 1468*a + 7*k*o + 2*k - 1 with respect to o.\nAnswer: -a*k + 18866*a + 7*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37432164 by 157278.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57126?\nAnswer: 2, 3, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -8*f**3 + 52196*f**2\/3 + 480344*f\/3 + 99008 = 0.\nAnswer: -17\/2, -2\/3, 2184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obloboll. Give prob of picking 1 b and 1 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-12) + 9\/12. Let b(x) = 13*x**2. What are the prime factors of b(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjwj when four letters picked without replacement from {w: 7, j: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01902 - -276.08098. Let c = 276 - s. What is the nearest to 1\/3 in c, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/(4\/48). What is the remainder when 37 is divided by 1\/((2 + o)\/(-80))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 2*z - 2*z)*(3 - 2 + 1) + 5*z + 4*z - 2*z - 2*z - z + 8*z + (3 + 2 - 6*z - 3)*(-42 + 30 - 35) to r + i*z and give i.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 2.92\nAnswer: -0.1168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1834 divide 177289112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3 - 9 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37294 years in decades?\nAnswer: 0.037294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 284633414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 69\/35 + (-34 - 6794\/(-215)) + 272\/14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 24 = d. Let h be (0*(-2)\/(0 - -2))\/(-1). Calculate the least common multiple of d and (34\/85)\/(2\/220 - h).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 60 = -5*c, 164 - 58 = 2*w + 3*c. Suppose 4 = -w*z + 51*z. Solve 0 = z*t + 5*q - 25 - 10, 0 = -3*t + 2*q + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 185, 3, 8, 28, -4 in decreasing order.\nAnswer: 185, 28, 8, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 326.26?\nAnswer: 326.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 11:46 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306395 and 88105.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 41*g**2 - 4*g + 42. Calculate the remainder when v(-19) is divided by 57.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13353117 is divided by 2670622.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1142701950?\nAnswer: 2, 3, 5, 13, 45077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + -9)*(-3 - -6). Suppose t + 4*f = 32, 0 = -5*t + 4*f - s*f + 55. Calculate the highest common factor of t and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6939 and -0.058.\nAnswer: -0.0402462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -165 - (7 + -32 + 14 - (-2 + -22))?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**2 + 2*r + 16. Let i(z) = 15*z**2 + 4*z + 31. Calculate -7*d(c) + 3*i(c).\nAnswer: -4*c**2 - 2*c - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*((sqrt(84) - 3*sqrt(84)) + sqrt(84))*4)\/((sqrt(1728) + -2*sqrt(1728) + sqrt(1728))*-6 - sqrt(1728) - -6*(sqrt(1728) + -1*sqrt(1728))).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.6 - -5. Let f = -1215.6 - -1229. Let i = 28.4 - f. Which is the biggest value? (a) -2 (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 18. Suppose 4*f + 16 - 16 = 0. Calculate the remainder when 573 is divided by s(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = r - 3*r - 1316, 5*r - a + 3290 = 0. What is the smallest common multiple of 4 and r\/(-126) - 4\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 270\/47, -10202?\nAnswer: 270\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 6*w + 10. Let y be b(8). Let k be (-30)\/y*1\/5. Solve 3*m = 2*l + k, l - 20 = -l - 4*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 7*l - 0*l - 20, 2*m + 3*l + 2*l + 26 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 13*n**2 + 22*n - 2. Let b be w(3). Solve -5*d = 4*o + b, 6*o - o + 8 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6108 and 112836.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 302, 348, 396, 446?\n\"Answer: q**2 + 43*q + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**4\/6 - v**3\/6 + 26*v**2. Give g(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000584641451 rounded to 7 dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*l = 72, 2*s + 27 = 3*s - 4*l. Suppose -s*y - 4 = -27*y. Sort 2, -1, -3\/7, y.\nAnswer: -1, -3\/7, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 28. Let h be z\/(-48) + (-44)\/16 + 3. Which is the third biggest value? (a) 0.1 (b) 15 (c) h (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:41 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 2*q + 62 + 54 - 32 to the form s + c*q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1202?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poev when four letters picked without replacement from {o: 3, p: 3, e: 1, r: 5, u: 1, v: 1}.\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*7\/252)\/(6\/(-162))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/94 in 0.2, 468, -13, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 420*h**2. Let j(s) = -2*s. Calculate j(g(p)).\nAnswer: -840*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(468) - (1 + sqrt(468) + sqrt(468)) - sqrt(468))**2 - sqrt(13)) + (sqrt(1872) - (1*sqrt(1872) + 5)) + -5.\nAnswer: 23*sqrt(13) + 1863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 28 + 77*a + 20 + (-a - 9 + 9)*(0 - 1 - 1).\nAnswer: 79*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, 34, 119, 270, 505?\n\"Answer: 3*p**3 + 6*p**2 - 2*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3075 and 997161?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118218 = -64*d + 119178 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 7*t**2 + 6*t - 10. Let o be m(-6). Let l be 10\/(1600\/24) - (-4)\/o. Let v = 148\/33 + -42\/11. What is the nearest to 3 in l, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -3*l**5\/100 - 3*l**4\/20 - l**3\/5 - 16*l. Factor y(h).\nAnswer: -3*h*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.81 - 19. Let l = 2559.40987 - 2559.6. Let v = f - l. Round v to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*d - 38657 + 9265. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 1*2\/(-1). Suppose h = 2*q + q - 53997. Let v be q\/6 - (-2)\/12. What is v rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230790463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 195.326 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 1765*n**2 + 272 - 131 - 5*n - 144 as a*n**2 + q*n + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 36\/(-8))*16. Let z(o) = -o**3 + 9*o**2 - 5*o - 3. Is z(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29a7 (base 14) to base 4.\nAnswer: -1303213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42790 divided by -4?\nAnswer: 21395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2\/11)\/((-5)\/(-55))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y + 8. Let k be i(0). Solve 5*c + 2 = 2*x, 4*c + k = 4*x + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 - 326. Let n = w + 387. Suppose 3*j + 10 = 64. What is the greatest common divisor of j and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.7473 and 257.8084.\nAnswer: 263.5557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -74, 33, -2, -5 in decreasing order.\nAnswer: 33, -2, -3, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1790 - 1790 + 3*x. Let k = 1 + 1. What is u(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/579, -157296, -4\/3.\nAnswer: -157296, -4\/3, -5\/579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 736992*f**4 + 1467*f - 72 wrt f?\nAnswer: 8843904*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -14.\nAnswer: 17\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 115. Suppose 3*b = -4*f + 16 + 59, 3*f - 100 = -v*b. Solve b = 5*y + 4*k, 4*k = -y + 2*y + 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let l(i) = -10*i**2 - 3. Give z(l(d)).\nAnswer: 20*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5 + 4*n**4*z**2 - 100*n**3*z + 2*n**2*z**2 - 133*n**2*z - 22*n**2 + 2*n*z**2 wrt n.\nAnswer: 120*n**2 + 96*n*z**2 - 600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111101010010111001 (base 2) to base 15.\nAnswer: 157617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1296\/6696 - 240\/279.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93315281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let x = 16 + -14. List the prime factors of (x - 0) + 3 + p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + sqrt(147) + sqrt(147)*-3)**2 + sqrt(147)).\nAnswer: 441*sqrt(3) + 1839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -13*a + 44. Let d be w(4). What is the remainder when 162 is divided by (d\/(-12))\/(4 + 1005\/(-252))?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 t, and 1 g when three letters picked without replacement from {y: 1, g: 1, b: 1, p: 1, t: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1047\/4 (b) 0.0226 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*a - 37, -a + 4*a = -9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -196*h - 1767. Let n be o(-9). Which is the closest to n? (a) 21 (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 787574? (a) -22 (b) 5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*5*(5*sqrt(2057)*2 - sqrt(2057)) + 2)*2*1)**2.\nAnswer: -7920*sqrt(17) + 16661716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1683.52 from -586640252.\nAnswer: -586641935.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(7 + -13 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2 + 40*h + 88 = 0.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8946, -36333, -81972, -145857, -227982?\n\"Answer: d**3 - 9132*d**2 + 2*d + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okxrxal. Give prob of picking 1 a, 1 l, 1 x, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -296 - 3?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 - 80*n**2 + 12*n**3 + 14*n**3 + 13*n**3 + 6*n**3 - n - 47*n**3 to u*n**3 + c*n + s + t*n**2 + j*n**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(352))\/(sqrt(2) - sqrt(800)) + (-4*(sqrt(22) - (sqrt(22) + sqrt(198))))\/(sqrt(2) - -5*(sqrt(2) - sqrt(4)\/sqrt(2))).\nAnswer: 244*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 - -4313732610.64?\nAnswer: 4313732689.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d. Let m(u) = 3*u. Let i(r) = 5*m(r) - 4*x(r). Let l(j) = -j. Give 3*i(g) + 8*l(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 2. Let r be (-3)\/((-108)\/15)*(-968)\/120. Let z = -28\/9 - r. Which is the closest to z? (a) y (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2 + 12\/8. Let s be (168\/9)\/d*6. Does 3 divide s\/6 + 2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2604, -2629, -2650, -2667, -2680?\n\"Answer: 2*l**2 - 31*l - 2575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1833)\/182 - (1 + 30\/(-28))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 19 - (-722 + 768)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 940 and 1128.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*c = -3, -1 - 11 = -4*c. Let r be 24\/15*(-220)\/(-88). What is the highest common divisor of r and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-20)*178\/96. Let l = t - -13\/32. Is -3 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + m + 1125, 4*m = -a - 169 - 37. Find the common denominator of a\/(-12)*(-4)\/(-8) and 103\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 422 = 206 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 827*h**2 - 1229*h - 15 + 827*h**2 + 17 in the form o + t*h + q*h**2 + f*h**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74.1 - 74. Suppose 4*m + 3*q = 144, -3*m + 79 = -4*q - 4. Suppose -v + m = 5*k + 4, 3*k - 2*v - 7 = 0. Which is greater: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (33288\/876)\/(21 - 2). Factor -4\/17 - 50\/17*k + 54\/17*k**f.\nAnswer: 2*(k - 1)*(27*k + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(34)\/(sqrt(18)\/sqrt(9)) + sqrt(17))*4 - ((sqrt(833)*-1)**2 + sqrt(833) + sqrt(153)*2).\nAnswer: -821 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/3 - 3*d**2 - 7*d - 2. Let w be y(5). Is w*-2*502\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2)*4 + 3.\nAnswer: 3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 14. Let i(u) = u**3 + 6*u**2 + 6*u - 6. Let n(w) = 3*w**3 + 17*w**2 + 17*w - 17. Give z*i(f) - 6*n(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -663*n + 662*n + 4, -5*n = 4*t - 68 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f - 6. Let i(t) = 82646*t. What is i(z(s))?\nAnswer: -909106*s - 495876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 4:41 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295.33399743 plus -1?\nAnswer: 2294.33399743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 + 156. What is the least common multiple of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 * 66.4\nAnswer: -252.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.9 and -1124?\nAnswer: 6631.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -764 or -789?\nAnswer: -764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1\/r)\/r**(-11\/4))\/(r\/(r*r**(-41)\/r))**(-23) assuming r is positive.\nAnswer: r**(3879\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 23 = 3*q, -r + 913*q + 5 = 912*q for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/2321?\nAnswer: 1\/2321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14661 - 0.15339. Let b = 217 - 325. What is the third smallest value in 0.4, b, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.5956462 to 2 dps.\nAnswer: -126.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 583115 and 592086.\nAnswer: 38485590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26 + 3.66. Let z = o + -3. Let l = z - 0.3. Which is smaller: l or 4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 2*m - 1\/2*m**3 + 0 - 1\/4*m**4 - 1\/20*m**5 - m**2. Calculate v(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 17 = 3*i, 0*i + 4*i - 18 = -5*r. Let k = i - 5. Suppose -k = -2*a + a. Is 17\/5 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {i: 10, q: 4, o: 1, u: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5 + 21. Let v = 27 + f. What is the second derivative of 33*t - v*t + 5*t**4 + 27*t + 10*t**4 wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1 + (-2 + 3 + 0)*(0*l - l + 0*l) + 2*l + 4*l - 3*l)*(-1 + 10 - 4).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 12*m + 1. List the prime factors of n(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 51 - 51. Suppose m = 11*g - 1174 - 3677. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3*(-400)\/300?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4388 and -93\/14?\nAnswer: 30716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {n: 2, d: 6, i: 3, b: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(605))*5 + (-6*(-1 + sqrt(605)))**2 + 2 - (-1 + -3 + 1 + sqrt(605) + 5)**2.\nAnswer: -781*sqrt(5) + 21209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/671 + 824729\/4697. Let w = q - 175. Determine h, given that 0 - 2\/7*h**3 - 2\/7*h - w*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - j - 1. Let d be h(3). Suppose 2*g + 3*g = -d. Let w(x) = -3*x - 1. Calculate the remainder when w(g) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76540966 is divided by 2074?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*x - 283*x - 283 = -70 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -311.6262113 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 4*v**2 - 4*v - 6. Let j be -66 + (-7 - (-3 - -2)). Let y be ((-6)\/(-2))\/(54\/j). Let l(z) = z**3 - z**2 - z - 1. What is y*l(m) + r(m)?\nAnswer: -2*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 10518060 a multiple of 634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*i, 0 = -6*c + 4*c - 5*i - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -200, -359, -796, -1649, -3056, -5155?\n\"Answer: -23*z**3 - z**2 + 5*z - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 434040133 (base 5) in base 2?\nAnswer: 111000110100100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4.500772 weeks?\nAnswer: 31.505404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**5 + 6*y**4 - 6*y**2 - 14*y - 6. Let u(c) = -7*c**4 + 7*c**2 + 15*c + 7. Let d(s) = -7*p(s) - 6*u(s). Find the second derivative of d(o) wrt o.\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/10 - (-16)\/5. Suppose -8 + 31 = -2*u - 5*d, i*d = 3*u - 18. Sort -2, u, -1 in decreasing order.\nAnswer: u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16241\/2 + 8423. Let l = -7877\/26 + i. Let o = -499 + 496. What is the closest to 2\/7 in o, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 - 1916354*j**2 - 268260160*j - 9388762600 = 0?\nAnswer: -958037, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 87?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 112 - 648. Let n = -285 + m. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 176\/66*(-3)\/(-4). Suppose 0 = -6*s + 74 - i. Suppose s + 9 = a. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010110110 + 10100101?\nAnswer: 110101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150013031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 583341588.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 59368, 59441, 59518, 59599?\n\"Answer: 2*m**2 + 67*m + 59299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0.8. Let l = -36.8 - n. Let d = l + 37.9. Which is the closest to -1? (a) d (b) 4\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.1560118 rounded to two decimal places?\nAnswer: 21.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -72, 4, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-264)\/42 + 6 + 24658\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-7))\/(-4 - -3). Let w be (-3 - o - 1)\/5*1. What is the fourth smallest value in 2\/11, w, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69651825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 72*a - 11*a + 22*a + 52*a.\nAnswer: 135*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*l**2 - 53*g**3*l - 5*g**3 - 20 wrt l?\nAnswer: 2*g**3*l - 53*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-47983)\/104)\/(2\/(-16)) is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 19*g - 59. Let n be j(22). Is -125 equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 802 + -260. Let a = p - 542.00000469. Round a to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -741 - -1123. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 31. Let h(q) = q**3 - 9*q**2 + 11*q - 20. Suppose a - 4*c = -3*a + 48, -4*a = c - 28. Let r be h(a). Solve -w = -r + b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, 211\/19.\nAnswer: -1, 211\/19, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g + 4. Let p(w) = 3*w**2 + 6*w + 15. Let c(l) = -6*l**2 - 11*l - 29. Let k(f) = -3*c(f) - 5*p(f). What is -4*k(u) + 11*s(u)?\nAnswer: -u**2 - u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 7419514081.\nAnswer: 7419514080.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 31 = -3*b + r, -5*r - 35 = -5*b. Let f(s) = 1 + 15 + b*s - 2 - 10. Calculate f(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 s, and 1 o when four letters picked without replacement from ymqysox.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/10255 and -46\/1555.\nAnswer: 3189305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1559*t + 1536*t + 11166 = -2488*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4341 - 4337. Put -4, s, 120 in descending order.\nAnswer: 120, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-4 + 20\/4). Suppose -s = -w - 5. What is the hundreds digit of 588\/s + 3 + (-65)\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765 divided by -1\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 5. Let i(u) = 3*u + 9. Let r(h) = -4*i(h) - 7*j(h). Suppose m + 3*y = 6*m + 2, -4*m = -5*y + 12. Let b be 0 + (1 - m) + 0. Calculate r(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2 - 5.67. Let c = -0.21 + n. Let s = c + 0.659. What is s rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 - 859 + d + 198*d**3 - 200*d**3.\nAnswer: -2*d**3 + d - 1205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - f - 1. Let g(y) = y. Let m be g(4). Let d(z) = -5*z**3 - 4*z - 3. Suppose 2*q + 3 + 1 = 0. Let c be q\/(-4)*1*-2. Give c*d(o) + m*b(o).\nAnswer: o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 837\/155 - 2\/5. Let h(k) = 129*k - 17. What is the tens digit of h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -3 (c) -1\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19204900 rounded to the nearest ten thousand?\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198788?\nAnswer: 2, 49697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1.96. Suppose 0 = p + 39 + 5. Let r = -175\/4 - p. Is r < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/12 (b) -5 (c) 37983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 + 4*s**2 + 256*s + 1. Let b(h) = 16*h**3 + 22*h**2 + 1281*h + 6. Give 2*b(t) - 11*j(t).\nAnswer: -t**3 - 254*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (36\/(-30) + 3)*(-286)\/132?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2170*n + 2220*n = -100. Let d = -385 + 5773\/15. What is the third smallest value in n, d, 1\/10, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026550741 rounded to five dps?\nAnswer: -0.02655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 628 = -5*s, -2*h + 10*s + 164 = 5*s. Solve -2*g - 70 = -h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 2*g. Let k(d) = -d - 1. Let t(p) = -9*p**2 - 6*p + 3. Let y(c) = -3*k(c) - t(c). Let q(r) = -21*h(r) - 5*y(r). Let q(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - 3.9. Let k = -3.99999 - h. Round k to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29982810900 rounded to the nearest one million?\nAnswer: -29983000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.89 + 45.09. Put n, 1, 0.3, 2\/49 in decreasing order.\nAnswer: 1, 0.3, 2\/49, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 3. Let u be c(6). Let v(b) = b**3 + b + 14. Let r be v(0). Suppose i - r = -u. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frakkkklk. What is prob of picking 1 f, 1 l, 1 a, and 1 k?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -ab753 (base 13) to base 2\nAnswer: -1001011111011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - ((-4)\/(-4) - 3) - 3. Let g = -6029\/393558 - -1\/5963. Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 + 755664*o**3 + 26532*o**2 + 62*o - 3 wrt o.\nAnswer: 24*o + 4533984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-1))\/1)\/((-17)\/(-17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m\/(((m*m*m\/m**(1\/4)*m)\/m)\/m)*m))\/m)**(-2\/151)*(m**(-2\/3))**(-34\/3) assuming m is positive.\nAnswer: m**(20617\/2718)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -13*t + 14*t + 1051, 3*w - 4*t + 1582 = 0. Let j = 1433 + w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((-1*sqrt(252) + sqrt(252))*-4 - sqrt(252) - (-2*sqrt(252) + 0)) + (1 + sqrt(252) + -1*sqrt(252) - (-3 + 1 + sqrt(252))))**2 + 2).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -26*t**4\/3 - 65*t**3\/2 + 2*t**2 - 478*t. Differentiate k(l) wrt l.\nAnswer: -208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = 48*n + 11*n + 67 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.8 and 42 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-four fifths of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1909 is divided by 91.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b + 4*s = 0, -5*s - 15 = 0. Solve -l = b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.5, 33, -2, -0.2, 332.231?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91805250 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*o + 0 = 1, 0 = 3*o + 6. Suppose -b = -3*q + 3. Let p(y) = -11*y + y**3 + 13*y - y**2 - q*y**2 - 1. What is p(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168314717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0.5, 5, 0.2, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 531e3 + 1?\nAnswer: 531e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 11*o + 9. What are the prime factors of s(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, z: 9}. Give prob of picking 2 z and 2 p.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43985294 divided by 4358.\nAnswer: 10093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5636702 years in millennia?\nAnswer: 0.0005636702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Let t = 5.6 - 6. Let f = 0.999902 - -0.000098. What is the second biggest value in f, 5, t, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698 divided by 31238?\nAnswer: 1349\/15619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -97, -139, -181, -223?\n\"Answer: -42*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -439*r + 6421. What is the tens digit of s(-49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -29) + 20 + -23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1246 or 12472?\nAnswer: 1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6357 divided by 1.\nAnswer: 6357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 - 4676*f**2 - 66052*f - 231868 = 0. What is f?\nAnswer: -7, 1183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**14\/s)*s*s**(6\/13))**(-48)*(s**(-2\/11)*s)\/s*s*s\/s**(-1\/9)*(s\/s**(-6))\/s*s*s\/((s*s**(7\/5)*s)\/s) assuming s is positive.\nAnswer: s**(3303571\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-8)*(-7)\/(-49)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 8*v + 183. Let r be o(9). What is the greatest common divisor of r and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10531*q - 6402850. Give k(608).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476*n**2 - 136*n + 136*n.\nAnswer: -476*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t + 10. Let d(b) = b**3 - 36*b**2 + 38*b - 100. Let l be d(35). Put t, -4, l, -5 in increasing order.\nAnswer: -5, -4, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132 + 132103302113?\nAnswer: 132103310311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -65 in -0.071, -6\/7, 6.8, 1\/6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -31. Let g(x) = 16*x + 75. Let v be g(-5). Let q be v\/165*p*2. Which is the second biggest value? (a) 2\/19 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*f + 14, 4*g = 5*f - 2*f - 5. Let d(s) be the second derivative of -1\/3*s**f - s**2 + 5\/12*s**4 - 1\/20*s**5 + 0 - 8*s. Calculate d(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-12))\/(2128\/(-114))*(-4)\/(-22).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 916*p**2 + 3666*p + 11. Let w be z(-4). Factor 1\/6*c**4 + 1\/3*c**2 + 0 - 1\/2*c**w + 0*c.\nAnswer: c**2*(c - 2)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 2*b - 1081 = 13*g, 359 = g - b. What are the prime factors of g?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1 - 1597*f**3 + 89*f**3 + 7*f**2 + 2*f - 1 - 5*f**2 in the form k*f**2 + d + n*f + c*f**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795 is divided by 2134?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26476668 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((819\/(-14))\/13)\/(-9)*-1*30\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2564 is divided by 183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lolonllnn. Give prob of picking 1 o and 1 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d - 26. Let i(u) = -4*u - 9. Let c(z) = 8*i(z) - 3*q(z). Let v(b) = -b - 4. Let h = 9 + -4. Give h*c(w) + 7*v(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6100 + 6129. Let j = -0.02 + -0.28. Which is the closest to 0.1? (a) -2\/11 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 175 in decreasing order.\nAnswer: 175, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194658 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a1175 - 0?\nAnswer: 6a1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*b + (3*b - 3*b - b)*(1 - 1 - 2) + 1 - 2*b - 1 + (-6 + 13 + 12)*(3*b - b - b) + (-3 - 4 + 4)*(3*b + 6*b + 5*b).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27a870 - -4?\nAnswer: -27a869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -2*v. Let z = v + 3. Suppose -4*b - z*l + 0*l = 4079996, -2*l + 1020004 = -b. What is b rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 631\/7 + -90. Let d = -10 - -6. What is the closest to 0 in d, -2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-36))\/((-3)\/(-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.99 + -1.49. Let z = -4.6 + 5. Sort l, 5, z in increasing order.\nAnswer: l, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/64)\/5 - (-3)\/(-2624)*1668\/(-27)?\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, x: 4, y: 2, p: 4}. Give prob of picking 1 x and 1 p.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**4 + 3 - 3 + (4 - 2*x - 4)*(-x**3 + 0*x**3 + 3*x**3) + 32*x**4 - 90*x**4 - 251*x**4.\nAnswer: -310*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84462 = 4*s - 5*l, 8*s - 90626 = -3*l + 78376. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 5*g**2 - 5*g - 7. Let v be o(6). Which is smaller: -12 or v?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14, 57, 122, 203, 294, 389?\n\"Answer: -v**3 + 17*v**2 - v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 448860 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a - 13. Let l(d) = 7*d - 6. Let j(t) = -13*l(t) + 6*q(t). Let m(v) = -1430*v + 7 - 60*v**2 + 1430*v - 7. What is m(j(n))?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 1*sqrt(832))*6)**2*2 - 1*(2 + -3 + sqrt(832) + -1)**2.\nAnswer: 32*sqrt(13) + 59068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006497 rounded to seven decimal places?\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20573\/24 + 857. Let h = -1\/8 + d. Which is the closest to 0.2? (a) -1\/2 (b) 1\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, w: 10}. Give prob of picking 2 r and 2 w.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(0*n - 4*n + 5*n) + 0 + 2*n + 0 + 1 + 0*n - 3*n + 6*n - 5*n - 4*n + 4*n to the form g*n + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 2:51 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46515, 93031, 139547, 186063, 232579?\n\"Answer: 46516*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 16*v\/7 - 30\/7.\nAnswer: -2*(v - 5)*(v - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -2) + -2 + 3. List the prime factors of 20\/(-6)*6\/t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 - 4*h + 7. Let t(v) = -v**2 - 1. Let w be 4\/6 + 2\/6. Let m = 53588 + -53583. What is m*t(z) + w*b(z)?\nAnswer: -z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(1 + 0) + 289 + 12. Suppose -9*l + d = 84. Let u = 7 + -1. Calculate the lowest common multiple of u and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 - 10*h**2 + 3245*h + 3250 = 0. Calculate h.\nAnswer: -26, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 72 = -13*v + 14*v + 5*m. Find the third derivative of -8*z**2 + 23*z**2 + v*z**3 - 12*z**2 + 82*z**2 wrt z.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 687747 is divided by 875?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5337, -5324, -5287, -5214, -5093, -4912, -4659, -4322?\nAnswer: -3889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53*-1.306.\nAnswer: 69.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-30)*(-2 + -8 + 5037\/506)?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 15 (c) 1.9 (d) -16 (e) 3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -59, -139, -263, -437?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61 - 1585345*n**3 - 3*n**2 + 1585346*n**3 + 3*n**2 - n to the form l*n + b + g*n**2 + k*n**3 and give b.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3885354?\nAnswer: 2, 3, 11, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - 3*c + 3*c + 4*c + 0*c + c + (2 - 2*c - 2)*(-1 + 1 + 1) - 5 + 4 + c - 1.\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 95?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 + s - 2. Let c be o(4). What is the units digit of c\/(-9) + (-1600)\/(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = -3*o, -3*c + 2*o + 1 = -5. Find p, given that -10*p**3 - 5*p**c - 3*p**4 + p**3 - 3*p - 4*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 6*n + 2. Let a(b) = 2*b**2 - 12*b + 3. Let r(v) = -3*a(v) + 5*f(v). Let j be r(4). What are the prime factors of (6\/(-4))\/(j\/(-402))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 70.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2 + 4*g + 0 + 0 + 3*g**2 - g**2. Suppose -2*b - 14 = -10. Calculate t(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 282 + 3 - 286 + 56*j**3.\nAnswer: 56*j**3 - 5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.163 + 0.063. Let q = -1 + -4. Let z(p) = p + 3. Let j be z(q). Which is the third biggest value? (a) j (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0*g - 3 + 0*g - 2*g - 2*g. What is q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 1276 - 1276.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3.5, 3\/4.\nAnswer: -4, -3.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 16*x - 6. Let l be i(2). Calculate the greatest common divisor of 286 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2516, 3.\nAnswer: 3, 4, 2516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 387, 390, 393, 396?\n\"Answer: 3*l + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -189*l - 2339. Give f(-11).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818545016.\nAnswer: 2, 191, 535697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 110 + 110 = 0. Suppose k + 2*w = 450, q = -3*k - w - 4*w + 1347. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3552.5 + -3552. What is the closest to 1 in 4, 210, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1730\/7 or 247?\nAnswer: 1730\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 23*h**2 - 10*h + 51. What are the prime factors of k(22)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86779.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18441, 18442, 18443, 18444, 18445, 18446?\nAnswer: 18447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 12. Let r = -369 + 375. Calculate the remainder when g is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - q - 31, 4*p - 3*q = q + 60. Calculate the common denominator of 1*((-109)\/(-12) - -1) and ((-530)\/p)\/(-5) - 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2859 (base 12) to base 16.\nAnswer: -1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*300\/90*-9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/2) + 2. Suppose -2*c + 3*c - 60 = -4*t, f = -2*t - 4*c + 16. Calculate the common denominator of (7\/21)\/(t\/282) and -55\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {p: 4, o: 1, b: 8, d: 1, u: 1, t: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*n**2 + 0*n - 23*n - 13*n**2 wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 22a44?\nAnswer: -22a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560118333.\nAnswer: 1560118333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 33*c**2 - 70*c + 174. What are the prime factors of k(36)?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*d = -7 - 3, 3*k - 2*d = 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 9, d: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -203, -5, 0, -4 in ascending order.\nAnswer: -203, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9284, -16957, -23022, -27479?\nAnswer: -30328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-36)\/(-360)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -76*z**3 - z**2 - 4*z - 1. Let o(h) = -2*h**3 - h**2 - h - 1. Calculate -o(y) + x(y).\nAnswer: -74*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/114 and -5*1 + 162863\/29682.\nAnswer: 5814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*i**2 - 50*i + 147*i**2 + 6 - 51*i**2 - 53*i**2 to f + h*i**2 + c*i and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/(-140) - ((-12)\/15)\/2. Which is the closest to -2\/3? (a) -1\/4 (b) -5 (c) g (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000873 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20*z**2 + z**3 + 20*z**2)*(98 - 4 - 22) to the form a + v*z + q*z**3 + n*z**2 and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.884 + -22.884. Which is the nearest to -3\/5? (a) 0 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 97 + 25 = 0. Let o be -10 + f - (52 - -1). Is 27 a factor of (77\/(-2) + -2)\/(o\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24491 and 2083024?\nAnswer: 39577456","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 9*r + 4 - 32 + 23.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 30790 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 4*f + f**2 + (6*f + 11*f + 44*f)*(2*f + 1 - 1).\nAnswer: 123*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - 5 - -12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 13*j**2 + 8*j - 9. Let b be q(6). Suppose b*u - 33700000 = 2*u. What is u rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 10:03 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211 * 899716.\nAnswer: -189840076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187863 not equal to 4187865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 353*l - 159. Let f be r(10). Suppose -5*u + f = -4*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*m = 2*f + 82, 4*f + 2*m = -218. Let q = 72 + f. Let i be (1 + (-21)\/q)\/(4\/(-40)). What is the highest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2297212 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**2 - 79. Let b(x) = -38*x + 5. Calculate b(k(g)).\nAnswer: -418*g**2 + 3007","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237100 to the power of 1\/2, to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(3\/4)*q)\/q*q))**(2\/7)*(q\/(q*q\/((q*(((q**(-44)\/q)\/q)\/q)\/q)\/q)))\/(q*q\/(q\/(q\/(q*(q\/(q*(q*q**(2\/133))\/q)*q*q)\/q*q)))) assuming q is positive.\nAnswer: q**(-12829\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*g - 19, -k + 1 = -4*k - 2*g. Suppose -h + k*t + 0 = 15, 15 = 3*t. Suppose h*o + 10 = 2*o. Solve -3 = o*w - 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from pfb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - k - 6, 18 = 5*p + 4*k. Suppose 3*s + 7 = 5*l, -5*s - 3*l + 33 = -p*s. Calculate the remainder when 9 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 2516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328168359 and 1461?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112 - -99) + 10\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 1\/2, 729\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 230*f**2 + 12*f + 17. Let b be 5 + 77\/(-14) + 14\/(-4). Is x(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -160718 and -160719 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9048248 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 22. Suppose r = -0*r - 3*i + a, -5*r + 2*i = -20. Let n(j) = 12 + j**2 - 9 + r. Let y(p) = 2*p**2. Calculate n(y(u)).\nAnswer: 4*u**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -19*u - 112. Let o be s(-6). Let j(a) be the third derivative of 0*a + a**o + 1\/30*a**5 + 0*a**4 + 0 - 4\/3*a**3. Solve j(l) = 0 for l.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from rlrvlvyqybrb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9253, -1, 5.\nAnswer: -1, 5, 9253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1610, -2144, -2660, -3146, -3590, -3980, -4304, -4550?\n\"Answer: 2*l**3 - 3*l**2 - 539*l - 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -581*w**2 + 3012*w - 348. Determine k(5).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4.37 - 450496.4\nAnswer: -450492.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 5*z + 1. Let j(l) = 3*l**2 - 9*l + 1. Let o = 32 - 34. Let f(m) = o*j(m) + 5*c(m). Let v(x) = -x + 1. Let w be v(5). Determine f(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6426 = -1728*y - 1242. Factor -3\/7*n**y - 51\/7*n**2 - 93\/7*n - 45\/7.\nAnswer: -3*(n + 1)**2*(n + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 11 - 8) + (-10 - -18) + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8059.6378 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5152.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 55 = -4*p + 8*p, 4*p = 4*d - 200. Calculate the remainder when d is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 + -97.8. Let g = 102 + f. Which is the closest to -0.1? (a) 1.1 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 257, 5, -0.0474, 0.1 in increasing order.\nAnswer: -0.0474, 0.1, 5, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -23 + 2. Let z(m) = -m**3 + 6*m**2 - 8. Let c be z(6). Let s = f + c. Which is greater: s or -10\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.5 - -111. Let q = -29 - -17. Let t = s + q. What is the biggest value in t, 1.2, 2\/11?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15907410 to the nearest 100000.\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75278566 by 31979.\nAnswer: -2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from aama?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47022 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 p when four letters picked without replacement from vdwvwwppwdwdwwwddd?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3701879*b**4 + 57862814?\nAnswer: -14807516*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 929, 3885, 8811, 15707?\nAnswer: 24573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l*m*y + 2*l*m + 79*l*y + l - 4*m**2 wrt m?\nAnswer: 7*l*y + 2*l - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/476?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*a = 218*a - 1092. Suppose 24*j - 66 - a = 0. Let c(d) = -d**2 + 4*d + 15. What is c(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-8)*q**(-3)*q*(q*(q*q**(2\/49))\/q)\/q*q*q\/q**(-1) assuming q is positive.\nAnswer: q**(-341\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*n - 1 + 3 + (-2 + 2 - 2*n)*(1 + 0 - 4) - n + 1 - 1.\nAnswer: 7*n + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5289 or -5293?\nAnswer: -5293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17558 divided by 3.\nAnswer: -17558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, -1272, -2842, -5040, -7866, -11320?\nAnswer: -15402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12\/1033 + -985\/4132. Sort -1, 0.5, -0.3, 26, l.\nAnswer: -1, -0.3, l, 0.5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/3 + 3*w**2 - 854. Let a = -21 - -14. Give h(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l + 4. Let k(y) = 8*y + 1. Let x(w) = -40*w - 4. Let u(j) = -11*k(j) - 2*x(j). Let v(r) = 5*b(r) + 6*u(r). Does 17 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 217 (b) -0.5 (c) 1\/8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 527993037 by 23.\nAnswer: 22956219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 856893 or 856898?\nAnswer: 856898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -111 and -0.2.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002131 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(68) + -1*sqrt(68))*-5)\/(sqrt(4) - (sqrt(12)*2)\/sqrt(3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhn when three letters picked without replacement from {h: 7, n: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -13636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 450*i + 5. Let o(f) = -12374*f - 138. Determine 138*h(t) + 5*o(t).\nAnswer: 230*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 26. Let m = -8 + 59. Calculate the remainder when m is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = -4*t, 20 = 2*j + 5*t. Let b be 10*(3 - (2 - j)). Let p = b - -5. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/4))**(24\/5))**(-45) assuming n is positive.\nAnswer: n**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 1, x: 1, v: 1, i: 1, l: 1}. What is prob of picking 2 n and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-144.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 3*q**2 + 2. Let d be p(3). Suppose d*c - 3*i = 59 + 34, i - 34 = -c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4457 + -168724?\nAnswer: -174282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.25 + -2.75. Which is the nearest to 1\/5? (a) 3 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from bmff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bb849 (base 14) to base 5.\nAnswer: -342430131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9*m - 5550 = -7*m, -25 = -5*m. Let x = -949 - d. What is the greatest common factor of 63 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.337854 hours in minutes?\nAnswer: 200.27124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 - 9*y + 9. Let s(i) = i**2 + i - 1. Let a(h) = 5*s(h) + w(h). Let q be a(-7). What is the units digit of -3*1 + q\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 1. Let p(x) = x**2 - 4*x + 37. Determine -6*c(b) - p(b).\nAnswer: -b**2 - 2*b - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t - 10. Let g be 117\/45 + (-2)\/t. What is the biggest value in -1\/6, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17.5. Sort 0.4, -0.2, t in decreasing order.\nAnswer: 0.4, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368 - 374) + (0 - (-5 + 2 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 51*g = 37*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934.5734 decades to years.\nAnswer: 9345.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 2*t**2 - 17*t + 1. Let u(h) = 20*h**3 + 1576*h**2 + 6568*h + 6152. Let w(b) = -24*k(b) - u(b). What is r in w(r) = 0?\nAnswer: -2, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d*f + 1408*d - 1045*f - 3 wrt f?\nAnswer: -5*d - 1045","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/239460 and 38\/658515.\nAnswer: 2634060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 146958 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -5*d**4\/4 - 17*d**3\/2 - 91*d**2. Let h be y(-5). What is the greatest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 21*h + 37. Let s be x(19). Let g = 9 + -8. Let p be (s\/g)\/(-2 + 1). Sort p, 3, 4 in increasing order.\nAnswer: p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (147\/(-12))\/7*-10*2. Suppose 5*l - c = -20. Calculate the remainder when 6 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 57 = 6. Let a be (3 - 16\/6)\/(3\/h). Find the common denominator of a - -2 - -1*99\/(-6) and -25\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 482320 (base 14) to base 15\nAnswer: 33a453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16\/7, 0.37, -4?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 27?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 6*l**2 - 2*l - 9. Let v be b(-6). Let c(x) = -x - x + 1 + 5*x. Determine c(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93094365 by 379977.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4779 - -4777. Which is smaller: h or 1\/324?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 3:40 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13161 - 12639. Calculate the greatest common factor of 324 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 w when four letters picked without replacement from wsvyvysvvvvw?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 766*o**3 + 389*o**3 + 0*o + 318*o**3 + 14*o**2 + 0*o in the form f*o + q*o**2 + c + v*o**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1772366185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 13794883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23241161 - 3?\nAnswer: 23241158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 122777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**4 + 465764*x**3 - 4658188*x**2 - 17234852*x - 12110904 = 0.\nAnswer: -116451, -2, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o + 3*h + h, 2*o + 2*h = 2. Solve -o - 9 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45 - -2) + (-4 + 6 - 1). Suppose 0*k = k - h. Calculate the highest common divisor of k and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*q - 7*q**3 + 18*q - 35*q + (-3 - 2*q + 3)*(q + 2*q**2 - q).\nAnswer: -11*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.042 and 1356?\nAnswer: -56.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 680 - 670. Let p = 1 - -41. Suppose 5*k - p = 43. Calculate the remainder when k is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 6. Let p be ((-4)\/b)\/(4\/6). What is the units digit of 1\/(-3 + 7\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pje when three letters picked without replacement from hjjejtthhjjjpjjhtjj?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 561.094 decades?\nAnswer: 5610.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1073 and 1943.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Find the third derivative of g**5 + g**4 - g**4 - g**2 + 2*g**x wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 27 = -2*o, -171814*w + 171813*w - 107 = -17*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 - 2*o + 1. Let g be k(1). Suppose -21 = 2*r - 5*a, -2*r - g*a - 3 + 27 = 0. Suppose 16 = r*m - 4. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370964 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m + 25. Let i(q) = 2*q + 2. Let x(k) = b(k) - 5*i(k). Determine x(14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14213520 + -104?\nAnswer: -14214024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4525 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-7 - -7) - -6. Let r(k) be the first derivative of -8\/7*k**2 - 20\/7*k - 17 + 4\/21*k**g. Factor r(x).\nAnswer: 4*(x - 5)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5806 - -5806. Let t(p) be the first derivative of 19 + g*p**2 - 1\/8*p**4 + 7\/6*p**3 + 0*p. Find l such that t(l) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 7. Let b be t(5). Let g be 4\/2*-1 + b. Suppose -2*u + 2*v - 12 = 0, 4*v = v + 15. Sort u, g, -2.\nAnswer: -2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -817 * -3\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 0, 3, 96800, -0.3 in ascending order.\nAnswer: -0.3, 0, 0.01, 3, 96800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k + 23*k + k**2 - 11*k + 3. Let x = -18 + 13. Let w be g(x). Calculate the highest common factor of w and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(2057)*5)**2 + -3 + (sqrt(153) - (sqrt(153) + (sqrt(153) - sqrt(153)*1*5)))\/(sqrt(9) - (sqrt(9) + (sqrt(108)\/sqrt(2))\/sqrt(6))).\nAnswer: -4*sqrt(17) + 5142497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 - -48.9. Let v = 444.073 + -448. Let g = v + o. What is g rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 - 2*a - 4. Let x(f) = 2*f**2 - f - 3. Suppose 2*i = -3*s + 11, -3*i + 3*s + 0*s = -9. What is i*r(l) - 5*x(l)?\nAnswer: 2*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12629 - 8662. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 5*p**5 - 215*p**4\/3 + 592*p**3\/3 - 224*p**2 - 283*p. Suppose f(u) = 0. What is u?\nAnswer: 4\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.2, 2, 13, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. What is the least common multiple of z and (-2)\/(-1) + (-6 - 14)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 186, 0, 190, -1, 4 in ascending order.\nAnswer: -11, -1, 0, 3, 4, 186, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 5, -2\/13, 2\/51, -2\/11, -20.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -14, -69, -178, -359, -630, -1009, -1514?\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5499 and 37\/147654.\nAnswer: 6939738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 3*v + 4. Let k(j) = -14*j**2 + 3*j - 14. What is 2*b(z) + 2*k(z)?\nAnswer: -30*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1301500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/102224 and 11\/787?\nAnswer: 80450288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.165409 less than -2.7395?\nAnswer: 61.425909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 17*f - 14*f = -28, -4*z + f = -12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 5:57 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/7 - (4720\/(-28) + 8)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 3*b**2 - 6*b + 1174. What is the thousands digit of n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14096585 by -1.\nAnswer: 14096585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -533105, -1066207, -1599309, -2132411, -2665513?\n\"Answer: -533102*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -3\/4 (b) 0.4 (c) -4\/7 (d) -4 (e) -8\/1985 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = 4*y - 307. Solve -13*p + y*p = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49597 + -27367. Does 57 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -67\/4. What is the nearest to 1 in a, -1\/7, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + k - 14. Let u(x) = -7*x**2 + 2*x + 41. Let t(q) = 6*i(q) + 2*u(q). Calculate t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((3*(-1*sqrt(275) - sqrt(275)))**2 - -4*((2 + sqrt(275))**2 - sqrt(275))) + 2).\nAnswer: -66108 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -221144320?\nAnswer: 221144323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o + 82. Let q be t(6). Calculate the greatest common factor of q and 442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 2, x: 10, a: 1}. Give prob of picking 1 s and 1 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 8}. What is prob of sequence cppc?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 5*o - 17, 5*o + 70019 - 70018 = 7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4252*a + 936*a - 605*a)*(0*a + 0*a - 3*a + (5 - 3 + 0)*(0 + a + 0)).\nAnswer: -4583*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36977040 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (56\/490)\/((-1)\/(-5)). Factor -m - 6\/7*k - 2\/7*k**2.\nAnswer: -2*(k + 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4064 by 4.\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4 - 2*n**3\/5 + 3*n**2\/5 = 0. What is n?\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9294889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Let w(a) = -t*a + 96*a + 3 - 44*a. Is w(1) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215999 is divided by 809.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322803222.\nAnswer: 2, 3, 7, 7685791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -87 + 45*(-72)\/(-90)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69048, 69353, 69648, 69927, 70184, 70413, 70608, 70763?\n\"Answer: -j**3 + j**2 + 309*j + 68739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + j)*(-219 - j - 248 + 3*j).\nAnswer: -4*j**2 + 934*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2964 times -17575?\nAnswer: 52092300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h - 12. Let r(x) = 4*x**2 + 17*x + 13. Let p be r(h). Suppose -l + 2*d + p = -d, 3*l - 1175 = -d. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 11564271?\nAnswer: 11564305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/4 and (13501\/(-3404) + 4)\/(9\/168).\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231.5912 months to decades.\nAnswer: 10.26326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13210 - 0?\nAnswer: -13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140589?\nAnswer: 19, 173, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:28 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 + 1 - n**2 + 42*n - 42*n. Let t be f(-1). Solve -3*l - t*j + 14 = 0, j = -0*j + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*q = -88*q - 35. Let c(j) = j**2 - 8*j + 7. Give c(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2024*j + 2116*j + 1092, 2*q = -3*j - 44 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2*r**3 + 2193*f**2*r**2 + 16*f**2*r - 10100354*f*r**3 - f*r**2 - 3*f*r wrt r?\nAnswer: -6*f**2 - 60602124*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000657 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1629104*t**3 + t + 1694566.\nAnswer: 9774624*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5232064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:23 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*u. Suppose -6*s + 4*s - 6 = u. Let g(a) = -2*a - 2. Let o(p) = 1. Let d(m) = -g(m) - o(m). Let r(t) = -t - 1. Calculate s*r(k) - 2*d(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:36 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0 + 0 + n)*(4*n + 0*n - 6*n)*(-60 - 10 - 8).\nAnswer: 312*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -13320\/22913?\nAnswer: -13320\/22913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 4, s: 2, c: 1, q: 2}. What is prob of sequence qcm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Suppose -j*g + 2*g = 0. Suppose g = 2*i - 21 + 1. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**3\/3 + 8*r**2 + 6*r + 220. Give m(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 148 (b) 8 (c) -0.1 (d) 0 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2*u**3\/3 + 13*u**2\/2 + u - 81. Let m be n(6). Solve -2*j = -3*w + 6, -4*w = -3*j - m - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72659 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i**2 - 27*i - 11. Give g(-9).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.19 (b) 5 (c) 439 (d) -0.4 (e) -8.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-170558)\/(-42) - 256\/(-2688).\nAnswer: 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2.3\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t**2 + 156*t + 215. What is q(-38)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/60 and -103\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3602, -3627, -3686, -3791, -3954, -4187, -4502?\n\"Answer: -2*j**3 - 5*j**2 + 4*j - 3599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-4))**(-2\/27))**(-2)\/((h*h*h\/(h*h**0))\/h*h**3*h*(h*h*h**(-2)*h*h)**(-3\/20)) assuming h is positive.\nAnswer: h**(-1429\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011011111 (base 2) to base 11.\nAnswer: 4443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.6 - 11. Let v = h + 3.8. Let y = -2.7 + v. Which is the third biggest value? (a) 3 (b) -8 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7138 + 7120 = -18*f. Put 5, f, -2, 7 in descending order.\nAnswer: 7, 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -3*j**5\/10 + j**4\/4 + j**3\/2 - j**2\/2 + 3. Let f(x) = 0. What is x?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 514*i**2 + i + 1. Suppose 0 = j + 2 - 1. Is g(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4810\/957 + -144\/29. What is the third biggest value in 0.001, z, 5?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 15, 3*p + 2*b - 3*b + 10 = 10. Let l = 5 - 1. Solve p*i = -1 - l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (-44 + 2)\/(-3 + 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(((-172)\/(-774))\/((-4)\/(-18))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*m**3*p - 2*m**3 - 2*m*p - 2*m - 51*p wrt m?\nAnswer: 156*m*p - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x**5 + x + x**5)*(2 + 0 + 0)*((4 - 5 + 0)*(-1 - 1 + 3) + 12 - 8 + 15).\nAnswer: 36*x**5 - 72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-55)\/(-220)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. What is the second derivative of -d**2 + 0*d**a + 6*d + 0*d**2 - 2*d**2 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2914 divided by 2.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2. Let u be (10\/3)\/(4\/54). Let f = -25 + u. Let v(p) = 2*p - 20 + f - 3*p. What is x(v(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.066 (b) -19 (c) -158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83930 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + 2 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {t: 4, l: 16}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1054 + -1064.09. Let s = -11.09 - p. Let n = -0.3 + -0.7. What is the nearest to n in 1\/5, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11*c - 3. Suppose f + 2 - 30 = 3*b, -b + 35 = 2*f. Let w = -22 + f. Calculate the remainder when k(w) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642744 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o + 146. Let u be g(12). What is the closest to 0.1 in -2\/5, -2.5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2200164 divided by 4\nAnswer: 550041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m - 98. What is x(-32)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 14 = -2*v - 3*y, 3*v - 5*y = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000011101 (base 2) to base 5.\nAnswer: -203220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -0.5 (c) -2\/7 (d) -164 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247824 - 82778 = 5575*r + 210173 for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 91*t**2 - 221*t - 626. What is z(5)?\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73, -39, 179, 671, 1527?\n\"Answer: 15*r**3 + 2*r**2 - 77*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132819 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + n + 1. Let v be 3\/(-3 + (-3)\/(-2)). Give p(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20054 and 11.\nAnswer: 220594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 3*m - 3*m + (-4*m + 5*m + m)*(1 - 4 + 1) + 7 - 7 - 3*m + 3*m + 22 - 22 + (4 + 1 + 7)*(-3*m + m + 0*m) as i + h*m and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22111 - -10201?\nAnswer: -11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 129. Suppose -42 = -4*d + 5*q, d + 2*d = -2*q + b. Which is greater: d or 12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 24*p**2 + 52*p.\nAnswer: -p*(p - 26)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 25*x + x**2 - 63*x + 60*x in the form c*x + f + w*x**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26458 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = -2*c, -m = 5*c. Suppose 3*q + 12 = j, -4*q = m*j - j - 32. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 6*q**2 - 4*q - 2. Let n(f) = 2*f**3 - 13*f**2 + 9*f + 4. Let p(r) = -5*k(r) - 3*n(r). Calculate the remainder when p(7) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-180))\/((81\/6)\/9)*102\/(-170)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6 = 2. Let s = y - 6. Let i(c) = -2*c**3 - 4*c**2 - 2*c - 1. Let h be i(s). Solve 3*b + 18 = h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/5)\/((-28)\/(-70)). Suppose t*d - 5 + 29 = j, 44 = 2*j - 4*d. What is the lowest common multiple of j and ((-2)\/6)\/((-5)\/30)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - (-670)\/(-222))\/(4\/6). Put 1, -0.4, 1\/4, w in descending order.\nAnswer: 1, 1\/4, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 2*c**2 - 3*c + 2. Let w be v(1). Solve w*g - g = 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.29 - -0.29. What is the second biggest value in 2\/13, o, -13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*6\/77 - (6890\/935 + -7).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 12) in base 7?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44678 + -24164. Suppose g = 2*b + 24*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159 * -0.5.\nAnswer: -79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 - -1. Let v be -3*(3 + 110\/(-36)). Is w at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 16228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-5*(-9)\/(-54)*-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54595, -54146, -53405, -52378, -51071, -49490, -47641?\n\"Answer: -l**3 + 152*l**2 - 54746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 10. Suppose -i = 2*p - 5, 2*p - 3*p = i - 1. Let n be i\/2 + (-104)\/(-16). Calculate x(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33*(4 + (-3 - 2)). Let k = 33 + y. Solve -3*m = -k*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -95.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -507 * 0.1.\nAnswer: -50.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*k*s*u**2 + 8*k*s*u + 4099*k*u - 99*s*u**2 + 4*s*u - 30*s - 2*u**2 + 2 wrt k?\nAnswer: 18*s*u**2 + 8*s*u + 4099*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(15\/(-3))*(-2)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/10 - (-10)\/(-25). Let s = 714\/13 - 4348\/91. Calculate the common denominator of o + -4 - (-66)\/15 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1096*o + 8 - 11 + 10.\nAnswer: 1096*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45709619 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 t(o) be the first derivative of 631*o**2\/2 + 573*o + 767. Differentiate t(j) with respect to j.\nAnswer: 631","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-60))\/(13\/(-3)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*j**5 + 120465*j**2 - 6*j - 1439551?\nAnswer: -3000*j**3 + 240930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 7*c - 2*c. Let v(l) = -c*l - 34 - 2*l + 34. Let h(b) = b**2. What is h(v(k))?\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3333987.77 minus 67.47?\nAnswer: -3334055.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*b - 199994, 0*t + 2*t + b - 80002 = 0. Round t to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.2919 nanometers in centimeters?\nAnswer: 0.00004882919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 24589*p**2. Let o(h) = 446*h**2. Give t(o(c)).\nAnswer: 4891145524*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393854 to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23370*a*d**2*g*m**3 - 11*a*d**2*m**3 - 5*a*d*g*m**3 - a*d*g*m**2 - 157*a*d*g - 7*a + 62*g*m**3 wrt d?\nAnswer: -46740*a*g*m**3 - 22*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19039686 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 1381029?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*w**2 + 51*w**2 - 152*w**2 + (-3*w + 0*w + w)*(2*w - 3 + 3) as b*w**2 + r*w + n and give b.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i**(-5\/4))\/(i*i*i\/((i\/(i*((i*i\/(i*i**(-1\/4)*i))\/i*i)\/i))\/i))**(-32))**30 assuming i is positive.\nAnswer: i**(5745\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 - 11*p - 15. Calculate j(-6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 4*g + 3. Let n be s(-4). Let r(y) = 3*y**3 - y**2 - 5*y + 2. Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -132 - -130. Sort 1, m, -3, -4 in descending order.\nAnswer: 1, m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201 - -201. Find m such that l*m + 0 + 1\/5*m**4 + 1\/5*m**3 - 1\/5*m**5 - 1\/5*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358186849.\nAnswer: 358186849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3976 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97 (base 12) to base 4.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 78\/(-2) + -1*1 and 1\/(-3 + 12\/7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-16)*m)*(m*m**(-2)*m)\/m)\/(m**(-1\/15))**(-1\/13))**34 assuming m is positive.\nAnswer: m**(92786\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77716382 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -1\/4, 1\/634, 338, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 93 + -48497?\nAnswer: -48404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 12:31 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(112) + 3 + (2*(1 + sqrt(112) + sqrt(112)) - sqrt(112)) + sqrt(112))**2.\nAnswer: 160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 0.3. Let t = v + 2.2. Let s = t + -0.1. Which is bigger: -1\/2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 128*b**3 - 2*b**2 + 3*b - 1. Let i be s(-5). Let g = i + 289105\/18. Calculate the common denominator of g and -17\/11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.65 and -1.14.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31700 and 25360.\nAnswer: 126800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 3*k + 180*k**2 - 468*k**2 - k.\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65254465, 130508931, 195763397?\n\"Answer: 65254466*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**5 + 26*w**5 + 24*w**5 + (-2*w + w**2 + 2*w)*(-2 + 2 + w**3).\nAnswer: 43*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, j: 5, z: 1, i: 3, g: 2, f: 3}. Give prob of sequence jj.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 86*m - 20. Let q be d(4). Suppose 3*t + 6 = 0, -3*p - t + 1618 = p. Calculate the greatest common factor of q and p.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-100)\/(-72))\/(40\/12))\/(5\/1).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiik when four letters picked without replacement from kxkkikinxkk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 4, 1\/13, 38?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - r**2 - 3*r)*(-14*r + 3*r - 5*r) as a*r**2 + o + w*r**3 + f*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 23*z**2 - 111*z - 176. Is x(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 19}. Give prob of sequence cjc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 2\/7 (b) 3\/715 (c) -0.4 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/285 and 11\/19.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/48 - (-365)\/(-3). Let t = 145 + u. Let x(v) = 3*v**3 - 5*v**2 - 7*v + 1. Let w be x(5). What is the highest common divisor of t and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98740*a**4 - 5*a**3 + 373158*a**2 wrt a.\nAnswer: -2369760*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 128298 and -24644093.\nAnswer: -24515795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose 2*l - 15 = 2*d - d, 0 = -4*l + 16. Let f = d + 6. Put 3, f, m in ascending order.\nAnswer: f, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178b (base 13) in base 5?\nAnswer: -102440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*d + 3*d + 10, 2*d + 73 = 5*j. Suppose 0 = -0*k - 5*k - j. Put 1, -4, k in descending order.\nAnswer: 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(128) + 1 + sqrt(2) + sqrt(6)\/sqrt(3) + 1)*5)**2 + -1.\nAnswer: 1000*sqrt(2) + 5099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7 + 4 = -3*d, 5*i = 5*d + 35. Let l be 2*3\/(d\/(-2)). Suppose l*b + 0 = 24. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 23*a**2\/2 - 2*a + 7. Differentiate l(s) wrt s.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323371 = -27*m + 1726469. What is m rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from rvrnnnvvnvvrnnr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-5))\/((l\/(l*l\/(l\/(l\/l**(2\/15))))*l)\/l))\/(l**(7\/4)*l\/(l**(-1\/2)\/l)) assuming l is positive.\nAnswer: l**(157\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k + 6 = 0. Let h be 7 + (5 - k)\/(-4). Suppose 9 = h*d - 56. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*u**3 - 2880*u - 608*u**3 - 606*u**3 + 1830*u**3 + 2880*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -41*t + 0 - 1 + 42*t. Let h(x) = -2*x + 2. Let n be (-2 + 0)\/(2 - 0). Let d(z) = n*h(z) - 6*a(z). Find the first derivative of d(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -108*b + 3019. Let j be l(28). Let p(v) = -v**2 + 5*v + 3. Let u(y) = -2*y - 2. Let r be 9\/(-15) - (-5)\/(50\/(-14)). Calculate j*u(q) + r*p(q).\nAnswer: 2*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + a = 15, y = 2*y + 3*a - 25. Let g = -7 - -9. What is the lowest common multiple of y and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -53*g**2 - 17*g - 17. Let x(i) = 18*i**2 + 6*i + 6. Let v(l) = -6*q(l) - 17*x(l). Let r(t) = 11*t**2. What is v(r(y))?\nAnswer: 1452*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 33*j**2 + 64*j + 21. Let v(o) = 32*o**2 + 64*o + 20. Suppose -2*l + 3*k = -0*l + 1, -5*l + 23 = k. Let h(c) = l*z(c) - 5*v(c). Factor h(g).\nAnswer: -4*(g + 2)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 320 = -49*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9936 - 9935.8. Let y = -252.06 - -248. Let r = -0.06 - y. What is the nearest to r in -4, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5 + 2. Suppose -5*m + 15 = -y*x, 10*x - 5*x - 4*m + 25 = 0. Which is bigger: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5583137l to millilitres.\nAnswer: 558.3137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)\/(s*s**(-6)*s)*s**(-5)\/s**(-4\/5)*((s*s**(-2))\/s*(s*s**(-2\/3))\/s)**25 assuming s is positive.\nAnswer: s**(-973\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-2 - -1) - (-28)\/4. Differentiate 12*z**2 + 6*z**2 - l - 10 with respect to z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmgg when four letters picked without replacement from gtgxmtgmmgmgtgt?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(96) - (3*sqrt(20))**2*-1) + -1 + 3.\nAnswer: sqrt(5)\/2 + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -77860.\nAnswer: 1\/15572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 44*m**2 - 55*m + 55. Let w(x) = -5*x**2 + 6*x - 6. Determine 6*j(a) + 55*w(a).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8004.936 kilograms in nanograms?\nAnswer: 8004936000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1614505 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1668 divided by -6.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11505851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**2 - k**4 - 2*k**2 + 1 - k**2 + 0*k**4 as r*k**4 + b*k**3 + w*k + o + m*k**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20539, -20553, -20583, -20635, -20715, -20829, -20983?\nAnswer: -21183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98920.\nAnswer: 2, 5, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o**3 - 34*o**2 - 3. Let g(j) = j**3 + j**2 - 1. Let z(q) = 3*g(q) - w(q). Find the third derivative of z(d) wrt d.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.5 - -11. What is the second biggest value in z, -2\/13, -2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2177363.7 microseconds?\nAnswer: 0.00060482325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/21, -5, -0.0658, -7, 1?\nAnswer: -0.0658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.33 greater than 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -159, -153, -135, -99, -39, 51, 177?\n\"Answer: c**3 - c - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57095?\nAnswer: 5, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1281161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 838826.1 + -838826.00999999. Let n = c + -0.09. Round n to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*v - 7*o - 25, 5*o + 15 = -4*v. Solve 2*s - 7*s + 30 = -v*g, -15 = -5*s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 0.3, 45, 0.6306 in increasing order.\nAnswer: -1\/8, 0.3, 0.6306, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -33*h + 28*h. Suppose 0 = -3*l + 12 + 48. Suppose -4*d = -0*d - f - 37, 3*d - 44 = 4*f. Solve h*u + l = d*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 2, -30, 58.\nAnswer: -135, -30, 2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7a402 (base 12) to base 11\nAnswer: -101521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*f - 118 = 84, -r + 57 = 4*f. Solve -5*n + 4*o + 16 = 0, -2*n - o + r = 53 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -29\/9?\nAnswer: -29\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443376 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 50. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 13*f + 4. Let b be 1\/((2\/(-2))\/(-13)). Let k be w(b). Factor -33*j - j**3 + 30*j + k*j**3.\nAnswer: 3*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {x: 1, u: 5, s: 7, e: 6}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*g + 8 = 0, -2*p - 19 = -3*p + 5*g. Suppose -105 = i - 4*i - 3*c, -p*i + 116 = -4*c. Let r = -13 + i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 25\/4 of a day?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**5 - 50857*y**4 + 74*y**3 - 1356692*y**2 - 4*y - 3 wrt y.\nAnswer: -120*y**2 - 1220568*y + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 16. Let c(u) = -u**2 + 8*u + 11. Let b be c(m). What is the tens digit of b\/((-2)\/1) + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -12. Suppose 5*s - 10 = -3*z + l, -3*s + 19 = -2*z. Let q be 2\/(-4) + (-2)\/(-4). Put z, -4, q in decreasing order.\nAnswer: q, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 3445386.\nAnswer: 19\/3445386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71 - -41. Let c = 3409.395 - 3439.39503. Let z = n - c. Round z to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + 1 + sqrt(1872)).\nAnswer: -60*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10770*s**3*x**2 - 265*s**3*x + 5*s**3 + s**2*x wrt x?\nAnswer: -21540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 63, 96, 129, 162?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 249, -3, -1, 4 in decreasing order.\nAnswer: 249, 5, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 1. Let s(m) = -m**3 - 10*m**2 - 11*m - 11. Let w be s(a). Let t(h) = 2*h - 9. Calculate t(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285*q**2*w**2*z**3 + 30*q**2*w*z**2 - 243*q**2*z**3 - 562*w**2*z**2 wrt z.\nAnswer: 1710*q**2*w**2 - 1458*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 2 + -2 + 3. Let h be 45\/9*o\/(-5). Suppose -2*b = h*p - 348, -3*b = -0*p - p + 166. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.064 (c) 261 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -942*m**4*v + 534*m**2 - 3*m*v + 6*v - 4226145 wrt m.\nAnswer: -3768*m**3*v + 1068*m - 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7. Let f(d) = -31*d + 49. Calculate -f(a) + 5*j(a).\nAnswer: 31*a - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:26 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let l = 5 + -6. Let t(h) = -h**2 - 3*h - 1. Let i be t(-2). Which is the nearest to i? (a) l (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-35 + -12 - -33)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34739.\nAnswer: 34739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 5*s**4\/12 + 3*s**3 - 253*s**2\/2 - 203*s. What is the first derivative of w(g) wrt g?\nAnswer: 10*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*o**2 + o + 13*o**2 - 13*o**2 - 2*o**4 + o**4 + 2 in the form w*o**4 + v*o**3 + p*o**2 + k*o + g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 3*p - 2. Let a be n(3). Let u be (5\/a)\/(1\/(-14)). Let o = u + -173\/5. Is 0.1 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 168629, -1\/2, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 9*z - 48*z + 466, 5*l + 0*z + 3*z - 46 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millimeter in micrometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -17)*1148\/(-1435)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 4*b**3\/3 - 24*b**2 - 180*b + 65. Factor l(z).\nAnswer: 4*(z - 15)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 355 - -65. Round h to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97977.\nAnswer: 3, 11, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + 2 + -3 + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 39*b. Let v(l) = 9159197*l. What is v(g(z))?\nAnswer: 357208683*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3889, -7759, -11629, -15499, -19369, -23239?\n\"Answer: -3870*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 36*b**3 - 3*b**3 + 0*b**2.\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*s - s, -5*y = -4*s. What is the third derivative of -2*j**4 - y*j**2 - j**4 - 4*j**2 + 3*j**2 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 278223 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51750*a**3 + 3*a**2 - 6*a - 4 wrt a?\nAnswer: -310500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25332716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -30. Let w be (144\/q)\/((-54)\/(-180)). Suppose -w*i + 100*i = 16. Solve i = -3*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1419 and 114603471?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**3\/3 - 2*z**2 + 43*z + 24. Calculate the remainder when 59 is divided by o(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(0 + (sqrt(98) - (sqrt(98) - (-3 + sqrt(98)))))*-6)**2 + 0)*3*4.\nAnswer: -72576*sqrt(2) + 184896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -12*n**2 + 5*n + 280. List the prime factors of p(0).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mue when three letters picked without replacement from {e: 1, m: 7, u: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2998\/9 - -333. Let n = 0.05 + 1.95. Let h = -1 + n. Put f, -2, h in increasing order.\nAnswer: -2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/7 - 6\/21. Let f = -3 + k. Suppose y + f = 13. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3756\nAnswer: -1\/3756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 5\/2, -4, 60, -10 in ascending order.\nAnswer: -10, -4, -1\/7, 5\/2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n - 82 + 82 + 79*n.\nAnswer: 148*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**2 + 15*a - 119. Calculate z(7).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549 a factor of 272580629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 334*a**2 - 337*a - 670.\nAnswer: (a - 2)*(a + 1)*(a + 335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 9. Suppose -7*b = -397 + 425. Let x = -12 - 6. Let q(f) = 2. Give b*r(g) + x*q(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1872 and -203\/83070.\nAnswer: 664560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 113 = 114 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2 + 1 - b - 4*b. Let a be j(1). Is 16 a factor of 450\/a*2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + 12. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02669 to 4 dps.\nAnswer: 0.0267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -222. Let h = 158 - t. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421776941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1224 + -2349. Let v = n + 1125.00947. What is v rounded to 4 decimal places?\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116 - 4?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025350 times 18?\nAnswer: -36456300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/45 + 6\/(-15). Let y(b) = 86*b - 942. Let i be y(11). What is the nearest to -8 in i, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -13*u**2\/2 - 8*u - 1. Suppose 4*v - 5*l - 9 = 0, 0 = -v - 2*v + l - 7. Is 10 a factor of n(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 391*h + 23903. Give r(76).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 - ((10 - 14) + -9). What is the closest to -2 in 1.86, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4 = -w. Let z = w - -5. Solve -z = 3*v - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2952 and (-48)\/240 - (-9)\/(-48)*(-680)\/492?\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18556, 18607, 18648, 18673, 18676, 18651?\n\"Answer: -h**3 + h**2 + 55*h + 18501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 = -22*q + 253 - 296 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*k - 5, 3*k - 45 = -2*q. Suppose 194*i - 4238 + 2112 = 3112. What is the highest common divisor of q and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*a - 162, -96 = -a + 15*d - 10*d. What is the highest common factor of 474 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -89, 186, 485, 820, 1203, 1646, 2161?\n\"Answer: 2*z**3 + 261*z - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 392564196 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 - 9 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + -52. Suppose -2*o - 57 - f = -n, n = o + 112. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26 - ((2 - 1) + -2)\/((-11)\/33). Solve -l*u = -29*u - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -5*o + 25, 0 = -o + m + 6. Let k = 8\/5 - 4\/5. Which is the nearest to o? (a) k (b) 3\/5 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 2*z + 2*z. Let d(s) = -s - 3. Let c be d(-3). Let a(i) = c + 1 + 2*i - 1. Give p(a(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218? (a) 4 (b) -4 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15 - -5) + ((-228)\/(-8) - 11))*(-66)\/(-15).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*i*m**3 + 2*i*m - 165*m**3 with respect to i.\nAnswer: -66*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 5. Let n(k) = k + 2. Let j(a) = -a**3 + 6*a**2 - 5. Suppose 6 = f - 0. Let g be j(f). Calculate g*n(o) + 2*t(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10514789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 782499.2 millilitres?\nAnswer: 782.4992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/12)\/((1908\/(-135) - -14)*215)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-6)\/(-9) + 3. Let s be 21 + h - (-4 - -5). Solve -5*k + s + 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171*g**3*u**3 + 5584623*g**3*u**2 - 513*g**2*u**3 + g*u**3 + 2*u**2 wrt u.\nAnswer: 1026*g**3 - 3078*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y. Let r(v) = 2*v. Let o(h) = 6*r(h) + 5*t(h). Let d(l) = -8*l**2. Determine o(d(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:14 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 59*t**2 + 12*t + 13. Let c(r) = -15*r**2 - 3*r - 3. Let f(b) = -9*c(b) - 2*h(b). Let k be f(-1). Calculate the highest common factor of k and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 5. Let p = 1 + j. Let r(a) = -4*a - 5. Let t be r(-2). What is the closest to p in 1, -5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12442801 or -111985196\/9?\nAnswer: -111985196\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 4431181.\nAnswer: 4431181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 515455 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 272563 divided by -227\nAnswer: -272563\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20120750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08365185 to 3 decimal places.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -40.5 - 48\nAnswer: -88.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**15\/l*l))\/(l**(2\/9)*l))**(2\/11))**(-29) assuming l is positive.\nAnswer: l**(7946\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/((-141)\/(-188))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176738567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-1 - -4) + -2). Suppose -2*a = -2*n + n - 5, -n + 7 = p*a. Let k = n + 30. What is the remainder when k is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -36, -56, -76?\n\"Answer: -20*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 8*v - 9. Let g be w(11). Let f = -40 - g. Solve -3*a = -5*y + 14, 2*a - 1 = 3*a + f*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (53 - 53)) + (1 - (0 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747082 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 0 - 27 = 51 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 253250407\nAnswer: 1\/253250407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.8 - -3.2. Let l = s + -52.83. Round l to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:26 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41838? (a) 0.1 (b) -1 (c) 4\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75917.55 years?\nAnswer: 911010.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41 - 2\/(-1))*(-21)\/3. Calculate the greatest common factor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 24*u + 592. What is a(13)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -969 - ((-1 - -2) + 0). Round v to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 19*c**3 - 20*c**3 - 5*c**2 - 7 + 4*c - 5*c. Give n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -27, -41?\n\"Answer: -14*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 33. Suppose -5*l + 49 = -0*m - 4*m, -p*m = 4. Is 1266\/l*(-9)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-236)\/295*(-3)\/(-12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1435 - 35?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 1469*f + 6602*f**3 - 2 - 742*f - 725*f as p*f**3 + s + k*f + u*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crcrccrrcr. Give prob of sequence rrr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*3 + sqrt(8)\/sqrt(64) + 3.\nAnswer: 3 + 13*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**27*(b\/(b**1*b))**(28\/9) assuming b is positive.\nAnswer: b**(701\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 3*d + 215*m + 198*m - 416*m, 60 = -5*d - 5*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 4.5. Let w be 7 - (20\/(-5) - (-11)\/((-77)\/(-112))). Which is the third smallest value? (a) 4\/7 (b) w (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/18 + (-11975)\/(-21555)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 divided by -3.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10a + 9?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/2 + 73*x**3\/2 + 559*x**2\/2 - 6793*x\/2 + 3081 = 0.\nAnswer: -13, 1, 6, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**4\/10 - 4*f**3\/15 + f**2\/5 + 4*f\/5 + 60. Factor c(l).\nAnswer: -2*(l - 1)*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from {f: 3, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (60\/(-25) + (-18)\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2011 by 15047.\nAnswer: 2011\/15047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:00 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 233124 and 3496860.\nAnswer: 3496860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*i + 180 = 107*i - 624. Which is the second biggest value? (a) 0 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -1058, -1742, -2586, -3644, -4970, -6618, -8642?\nAnswer: -11096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 4*a = 5*g + 393, 4*g - 523 = 5*a. Differentiate 141 + 138 - 36 - c**2 - g*c wrt c.\nAnswer: -2*c - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Suppose -9*a + 28 = -i*a. What is the second derivative of -38 - 3*y**4 - a*y + 38 wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-7\/2))\/(y*y**5\/y*y*y*y))\/(y**0)**33*y\/y**7*y\/(y*(y*y**(3\/2))\/y*y)*y*y**(-6)*(y*y*y\/y**(-1\/2)*y*y)\/y assuming y is positive.\nAnswer: y**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 24 + 2367*y + 64)*(3 - 2 - 3).\nAnswer: -4734*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(3\/11)*o)\/(o**(1\/3)\/o))**(7\/6) assuming o is positive.\nAnswer: o**(224\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.5028 nanograms in tonnes?\nAnswer: 0.0000000000008745028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2656 (base 7) to base 4.\nAnswer: -33331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 95 = 1. Suppose -b = 3*b - h. Suppose 0 = l + 2*x - 28, 2*l - 36 = 3*x - 1. What is the least common multiple of l and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -879\/8. Let q = -15 + 11.4. Let z = -0.4 + q. Which is the second biggest value? (a) 5 (b) t (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 765 = 3*a - 3*p, -2*p = -3*a + 765. Suppose -m - 587 = -4*o, -a - 184 = -3*o + 2*m. Let n = o + -107. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 12:28 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 1:26 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 209030928*d*w - 111612*d - 360 wrt w?\nAnswer: 209030928*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 8. Let d(k) = 3*k + 16. Let n(z) = -2*d(z) + 5*u(z). What is the remainder when 18 is divided by n(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 438 + -393. Suppose -33*q = -24*q + i. Let x be (-3)\/(-6) + 2\/(-4). Which is the third smallest value? (a) x (b) q (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.4182 hours to days.\nAnswer: 32.517425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1851, 3525, -0.1, -3 in descending order.\nAnswer: 3525, -0.1, -3, -1851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204 - 12055 - 23197 = -8622*d + 8926*d for d.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23\/6 + 191\/15. Let x = 3155519\/50064 + 213\/2384. Let p = 352\/7 - x. Calculate the common denominator of g and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 + 12*c + 46. Let a be x(-6). Suppose -10*f + 48 = -a. Solve h + f = 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + h = -844134, 2*j - 5*h - 337656 = -4*h. Suppose -j = -f - 49826. What is f rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**5\/20 - t**4\/4 + t**3\/2 - 3*t**2\/2 + 2*t - 3. Let d(w) be the first derivative of s(w). Determine d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + (-4)\/(-2) + 0 + 131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 3962512.9.\nAnswer: 3962510.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -228*h - 259*h + 549*h in the form w + q*h and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2839753 + -478657. Let u = c + -4377791. Let m = -4816695 - u. Round m to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 649325, 649329, 649333?\n\"Answer: 4*u + 649321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:34 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(22)*1)\/(sqrt(242)*-1).\nAnswer: -3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -56. Let n = -3 - k. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 30. Solve g - 2 = -p, 0 = 5*p + x*g - 13 + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddld when four letters picked without replacement from lddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 + 7 + -4 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, k: 1, i: 2, b: 1, z: 1}. What is prob of sequence zmz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 3*s + 10 + 2*s - 6*s.\nAnswer: s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -28. Let p(u) = 6*u**3 - 4*u**2 - 5*u + 5. Let f(h) = -7*h**3 + 5*h**2 + 6*h - 6. What is j*f(a) - 6*p(a)?\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {z: 4, p: 2, a: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from oooooooxooooooo?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + h**2 - 12*h**3 + 28*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7837 - 134276.\nAnswer: -142113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 11 + 1. Suppose 0 = 3*j + 31 + 29. Let c be (j*g\/(-6))\/2. What is the highest common factor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2 + 9*v - 7. What is z(4)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 - 1140135?\nAnswer: -1140070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 8 - s - 11 + 0.\nAnswer: -2*s - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 - -127. Calculate the smallest common multiple of b and 59\/3 - 1\/(-3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10288278997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -51*t + 392. Determine s(9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42552 + -42550. Let -2\/9*u + 0 - 2\/9*u**d = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*p + 4 + 16, 0 = -5*h + 15. Let q = 6 - 3. Suppose q = 3*x - 21. What is the greatest common factor of p and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25009.\nAnswer: 89, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.65 + -0.45. Let n = 1035 - 1034.8. Which is the nearest to n? (a) x (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*k + 114*k - 216*k + 8 - 8.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - -4690396?\nAnswer: 4690430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 6)*(-i**2 + i**2 - 2*i**2).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1 + 2 + -2). Suppose -12 = -3*p - p. Let m(n) = -n**p - 44*n + 44*n + 3*n**3. Give m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 148, 598, 1348, 2398?\n\"Answer: 150*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 4*g - 11108, 2*u - 4*g + 7*g - 5551 = 0. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -389, -5, 5194.\nAnswer: -389, -5, 5194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 469775311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**2 + 4*t - 2. Suppose 2*p = p - q - 43, 5*p - 2*q + 187 = 0. Let f = p + 34. Let m(h) = 4*h**2 + 2*h - 1. What is f*m(j) + 3*a(j)?\nAnswer: j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11982 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1a76 (base 15) to base 14\nAnswer: 213a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1398, -1947, -2498, -3051, -3606?\nAnswer: -4163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 + 64)\/(3 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 568, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac2c8 (base 14) to base 8.\nAnswer: -1457570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -428 or -426?\nAnswer: -428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 374, 1593, 3658, 6575, 10350, 14989?\n\"Answer: z**3 + 417*z**2 - 39*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 0*s - 3 - s + 5 + s**2. Let h be u(2). Suppose 2*z + h - 8 = -2*x, 4*z - 22 = 3*x. Round x to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7674605558.8914 and -0.07?\nAnswer: 7674605558.9614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -26536 divided by 308?\nAnswer: -6634\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -17*s - 191. Calculate d(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 - 18*v**2 + 5*v**2 + 12*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a + 10663d?\nAnswer: 1065d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-528)\/484)\/(1*6\/(-33)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 995 - 588 + 1366 + 4*h - 12*h + 7*h to s*h + z and give z.\nAnswer: 1773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 45, -3.\nAnswer: -3, -2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -4*w**4 - 4*w**3\/3 - 7*w**2\/2 + w + 43. What is the tens digit of j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 2.3. Let i = -0.03 + 5.03. Which is the biggest value? (a) h (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 371 = -4*h, 5*h - 602 = -2*t + 152. Suppose 0 = -3*d - 3*f + t, -2*d - f = -136 - 126. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 249 - 174. Suppose -3*d + 10*u + 168 = 15*u, -u = -5*d + 252. Let n = k - d. Solve -4 + n = -4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4203 or 4199?\nAnswer: 4199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 728 - 728.4. Let f be (-2)\/5 - 62\/(-80). Suppose -2*m - 2*m + 16 = 0. Sort f, m, p in ascending order.\nAnswer: p, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 - 2*d**2 - 3*d - 4. Let p(u) = 2*u**3 + u**2 + 1. Let v(y) = -2*p(y) - t(y). Calculate v(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -5 (c) 0.04 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*7\/70*-635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -4. Let a(h) = 2*h**3 + 19*h**2 + 6*h - 20. Let x be a(j). Suppose 41 = 8*w - x. Solve -2*o - w = -2*s, 4*s - 4 = 5*o + 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:46 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3739.82 - -3704. Let q = y - -36. Round q to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6627.643ml in litres?\nAnswer: 6.627643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -4*z. List the prime factors of z\/(-18)*-22*3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 3*l - 15090. Suppose l = -20*y + 26*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 + 2 = 0. Suppose -4*i = 2*o + u*o, 4*o + i - 15 = 0. Let k(y) = 4*y**3 + 4*y - 2. Let d(f) = -3*f**3 - 3*f + 2. Determine o*d(z) + 4*k(z).\nAnswer: z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3113 = -4*b, 4*a - 6213 = 2*a + 5*b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 559749 - 2622941. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -185*o**2\/2 + 478. Let t(l) = 2927 + l**2 - 2927. Determine f(t(j)).\nAnswer: -185*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575 + 93 = -2*i. Let g = i + -156. Calculate the remainder when g is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276, -5920, -18438, -42766, -82840, -142596?\nAnswer: -225970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-8 - 4) + (8 - 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1810.97 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -33. Solve 4*v = c + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**2 + d + 3. Let t(j) = 5*j**2 - 2. Let m = 12 - 8. What is m*t(n) + 3*l(n)?\nAnswer: 2*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.6, -2\/15, 12\/5 in increasing order.\nAnswer: -2\/15, 0.6, 12\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -36?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 + (-2384)\/2. Let d be (-225)\/(-125)*30\/9. Is a\/(-9)*(d + -2 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 149 + -147. Suppose -5*x = 4*b - 55, -m*x - 2*x + b = -44. Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 35. Let b = -44 - f. Calculate the common denominator of -67\/10 and 10\/b*(-39)\/(-65).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 19. Let w be l(-8). Suppose w*n + 5 - 2 = 0. Let u be 3\/(-6) + n\/(-5). Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/15)\/(2\/17) + (-64)\/48. Which is the third biggest value? (a) q (b) 16.6 (c) -5 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:21 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-488)\/56 - -3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(684))**2 - (sqrt(19) - (3 + sqrt(19) + 0)**2)) + -4*(sqrt(1539) - ((2 + sqrt(1539))**2 + sqrt(1539) + 3)))*-2.\nAnswer: -13792 - 298*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -7\/15*q**6 + 3*q + 2\/3*q**3 + 7\/6*q**4 - 5\/21*q**7 + 0 + 3\/10*q**5 + 0*q**2. Determine k, given that u(k) = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g - 14338 + 109042 = 0. What are the prime factors of g?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7556\/1947 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104.6 - -74.5. Let g = 27.81 + m. What is g rounded to one dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/((20\/350)\/((-7)\/5)). Let n(b) = -b - 1. Let y be n(-4). Suppose -2*a - y*a + 70 = 0. Calculate the highest common factor of p and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14318551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 3 - 3)*(0*t + 0*t - t**3) - t**2 + 8*t**3 + t**2 to n + f*t**3 + m*t**2 + l*t and give f.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 717 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(153) + sqrt(153))*5 + sqrt(153))\/(sqrt(162)\/sqrt(2)))**2.\nAnswer: 2057\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 6*o**2 + 5*o + 16. Let q(i) = -i**3 - 7*i**2 + 6*i + 17. Let l = -13 - -8. Let u(p) = l*q(p) + 6*c(p). Give u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7737\/10 - 763. Calculate the common denominator of h and -79\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1646, -1645, -1674, -1739, -1846?\nAnswer: -2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498 = -68*r - 583 - 2659 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 32. Suppose c*k = -5*t - 20, -6 + 0 = t - k. Put 4, -1, t in descending order.\nAnswer: 4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.523 - -0.577. What is the fourth smallest value in 1, -4, -2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-164)\/8)\/(3\/6). Let x = v + 20. Let d = -14 - x. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33030854*c**3*n**3 - 129*c**2*n**3 + c**2*n**2 + 3*c*n**3 + 14*n**3 - 454*n**2 wrt c.\nAnswer: 198185124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25937 - 24761 = 84*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 31. Suppose d = -0*d. Let m be ((-14)\/4)\/(d - 1\/(-4)). Does 19 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -10.\nAnswer: -33\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a - 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(91)\/sqrt(7) + 2)**2.\nAnswer: -102 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22873475 to the nearest integer?\nAnswer: 4783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g - 40. Let m(n) = n + 1. Let r be m(g). Factor v**2 + r - 8*v - 2 + 2*v.\nAnswer: (v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 22 - 6. Let n = 22 - x. Let c(t) = t. Calculate the lowest common multiple of c(n) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 7 = -15*t. Let l be 285\/(5\/t) + -6. What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3)\/9) + (-5908)\/(-27852).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.333.\nAnswer: 0.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 0, 4, -5, -501 in decreasing order.\nAnswer: 4, 0, -0.05, -5, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - q**4 + (q**4 - 3*q**4 + 4*q**4)*(-2 - 3 + 2) + 924*q**3 - 924*q**3 + 13*q**4 + 3*q**2 - 20 - 16 + 2*q**4 + 34.\nAnswer: 8*q**4 + 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -6)\/(3\/(-10)). Let p be 25\/(-2) + (-10)\/d. Let k be (-6)\/39 - 15\/p. Solve -1 = n + k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:44 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/38*(-531)\/4779.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5776 (base 9) to base 13\nAnswer: -1c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 + -6 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -118963941, -237927883, -356891825, -475855767?\n\"Answer: -118963942*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 445056 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13969*l**2 - 20017*l.\nAnswer: -27938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let h be ((-2)\/(-6))\/(10\/420). Suppose -5*s - h = 16. Calculate p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10 + ((-6566)\/(-3685))\/98.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + 0.9. Let h = -16 + 36. Suppose -4*p = p + h. What is the closest to t in 3, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1165 + -1261545?\nAnswer: -1260350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516.2675 years to months.\nAnswer: 6195.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 300 - 298. Suppose -4*d + q*h = 5*h - 228, d - 44 = -4*h. What is the highest common factor of 105 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 5 (c) -5685\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 480?\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8923522 tonnes in micrograms?\nAnswer: 892352200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72852 and 55692.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 434354218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*z + 675, -6*x + 8*x + 1390 = 4*z. Let m = -17501\/50 + z. Is m at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772952698, 772952697, 772952696?\nAnswer: 772952695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**3\/6 - 2*u**2. Let l(x) = x**2 + x + 4. Let z be 1\/((-1)\/(-3)) - 5. Determine z*l(w) + 7*t(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2740\/(-3562) - 615\/(-715)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 20. Let q be y(5). Let r(h) = 15*h - 13. Let w be r(q). Is w at least 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.1 + -0.9. Suppose -22*o = -3*o - 57. Which is the second biggest value? (a) -11\/2 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2094.2 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8142 divided by -1357?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-15)*56\/((-43904)\/420)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475) + 1*sqrt(475))**2*3.\nAnswer: 120*sqrt(19) + 5712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -18*g + 622. Let o be s(34). Solve 0*x = -5*x - o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 315196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 - -6.3. Let v = p + -0.9. Which is the closest to v? (a) 2\/11 (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2) + (-30)\/99. Let p = v - 4\/11. Which is the closest to 0? (a) 3\/4 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/60 + b**4\/3 - 13*b**3\/6 - 15*b**2. Let z be p(7). Let u(c) = 77*c**2 + 7*c + 31. Is u(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/12 + 33*j**2 - j. Let d(y) = -6*y**2 - 1. Calculate d(w(f)).\nAnswer: -24*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*z = 122, -5*c + 0*z = -z - 313. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4447325*n**3 - 337*n - 2931?\nAnswer: 26683950*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2768 (base 12) to base 7\nAnswer: -16151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4991017*u**2*y**2 - 76378*u*y**2 - 6*u - 4*y**2 wrt u?\nAnswer: -9982034*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10323 (base 5) to base 3\nAnswer: -222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17)*3 + -1*(sqrt(17) + -2) - (4 + (sqrt(17) - sqrt(425)) - (-1 + sqrt(68)\/sqrt(4))))**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/7 (b) -4862 (c) 1\/220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756 and 432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183*g**3*w**2 - 3*g**3*w + 13*g*w + 4*w wrt w.\nAnswer: -366*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1819 divided by -13181\nAnswer: -1819\/13181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 3, 1\/5, 0.06, 5, 23, 0.05?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*a - 28*a + 0 - 3 + (0 - 1 - 1)*(7*a + 3*a + 2*a) to n + t*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + i + 108*i**2 + 80 - 38*i**2 - 39*i**2 - 36*i**2 + 4*i**3 as p*i**3 + n*i + f*i**2 + x and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10*x**2 + 0*x + 20*x - 29*x + 9*x. Let h(f) = 320*f. Calculate m(h(j)).\nAnswer: 1024000*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -362441*-0.036\nAnswer: 13047.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a64912 + 2?\nAnswer: 2a64914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4266 by 6.\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 + 9*v. Let i(j) = 11*j**3 - 4*j. Let t(n) = -4*n**3 + n. Let z(a) = 3*i(a) + 8*t(a). Determine -4*c(q) - 9*z(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - 2*w - 4. Let x be l(4). Let f be (3 + x\/(-8))*26. What is the greatest common factor of 117 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t**3 + 7*t**3 - 250*t**3 + 231*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 15712253.1 to the nearest 100000.\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {x: 1, c: 2, b: 2, q: 4}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 6:52 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*n + 15, 5 = -4*m + 3*n - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o**2 - 30*o - 65. Let i(t) = 5*t**2 - 15*t - 33. Let g(q) = -7*i(q) + 4*r(q). Is g(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/442*1\/((-10)\/(-8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -34. Let v = -77 - -95. Suppose 16 = v*u - 16*u. What is the highest common factor of s and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/12 + 2\/8. Let q = j - -1. What is the units digit of 6\/(-2)*(-1 - q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**5\/75 - 21*u**4\/10 + 116*u**3\/3 - 611*u**2. Suppose c(h) = 0. Calculate h.\nAnswer: 5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g + 1502 - 2913 = 1088 + 4233 for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 3*r + 12, -k - 8 = 5*r - 0*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2426, -2082, -1514, -722, 294, 1534, 2998?\n\"Answer: 112*t**2 + 8*t - 2546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -5363 divided by 9?\nAnswer: -5363\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 3)*(4*f - 36*f - 10*f) - f - 2 + 2)*(f + 2*f - 10*f) + (-1 - 2 + 1)*(-f**2 + 5*f**2 - 5*f**2 + (-2*f**2 + 3*f**2 + f**2)*(-1 + 2 - 2)).\nAnswer: -281*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1666*x + 36960 = -1262*x + 464*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(495)\/(sqrt(22)\/sqrt(2)*3) - (-1*sqrt(405)*-4 + sqrt(405) - sqrt(405) - sqrt(405))\/sqrt(9).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 10:50 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (152\/171)\/(16\/6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:20 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.331 + 0.031. Suppose -u = 3*i - 5*i - 6, -4*i = 5*u + 26. Which is the smallest value? (a) i (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2468 divide 317520716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -433 - -205. Let v = n - -455. Which is smaller: v or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7214\/117 + 73\/78. Let s = 350\/9 + j. Is s < -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*u**2 - 131*u**2 + 271*u**2.\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 55*t**2 + 33*t + 0*t - 325*t**2 - 28*t as p*t + h*t**2 + b and give h.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 2*l + 2. Let b be o(2). What is the second derivative of -3*z**3 - 7*z**2 + 7*z**2 + b*z wrt z?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -85, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + -293\/5. Let w = 12 + -13. What is the closest to n in 2, w, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 + 2*a**2 - 3*a + 1. Suppose j + 2 = 17. Suppose 6*h = h - j. Let i(v) = v**3 + v - 1. Calculate h*i(w) - l(w).\nAnswer: w**3 - 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4 - 156\/(-16))\/(10\/6320)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -384225*o - 6531838. Determine b(-17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/25)\/(-4)*(-70)\/56)\/((-1)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/30 + 302\/(-10). Let j = 51 + h. What is the remainder when 78 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 359*d**3 + 221*d**3 + 193*d**3 - d.\nAnswer: 55*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 740 + 10560. Suppose -8*x + y = -3*x. Suppose 29*j - x = 24*j. Round j to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 8 = 3*j, 0 = 245*j - 244*j + 3*a + 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r - 2. Let y(w) = 15*w + 4. Let i = 11 - -2. Let s(k) = i*p(k) + 6*y(k). Let u be s(-6). Solve 4*o + u*a - 24 = 0, 0 = -4*o + 5*o - 2*a + 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 2*w - 2*w - w to k + p*w and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 2*w - w + w**4 - 2*w + w - 3*w**2 - 20*w**3 in the form z*w**4 + v*w**3 + k*w**2 + f*w + u and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*c**2\/9 - 2396*c\/9 + 4944.\nAnswer: -2*(c + 108)*(13*c - 206)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 22*a**2 - 21*a - 3. Let y be d(-21). Let v(z) be the second derivative of z**3\/3 + z**2\/2 + 34*z. What is v(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -22. Let l be -42*(1 + 26\/6). Calculate the smallest common multiple of x and (-20)\/110 - l\/22.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 5*u - 4*u + 6*u + 7*u - 22*u - 2*u - 3 + 3 + (-2 + 1 + 0)*(2*u + 3*u - 7*u) + 3 - 3 + u + 186*u - 95*u - 123*u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1550*i. Let q(w) = 8*w**2 + w. Calculate c(q(s)).\nAnswer: -12400*s**2 - 1550*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w. Suppose w = 5*f + 3*p - 184, -2*f + 14 = p - 59. Is f a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9721167?\nAnswer: 3, 3240389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.5.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210122 + -22110110?\nAnswer: -110021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2*(-724)\/(-160) - 1) + -4 and -107\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7133\/6 + 1200. What is the common denominator of h and 71\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 38 - (-14 + (-2 - -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2)*-3 + -2 + 2)**2*-6.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-9))\/(2\/3). Suppose -4 = m + j. Does 16 divide (-1)\/((-3)\/(-8))*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18 - 697 + 87 - 381*r wrt r.\nAnswer: -381","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**7\/280 + g**6\/32 + g**2 + 9*g. Find d, given that y(d) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -657452 by 4.\nAnswer: -164363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1264044 + 0.025.\nAnswer: 1264044.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + a = 15, 13*a = 15*a. Suppose 6 = -l*x + 2*x, 2*n - 56 = -5*x. Calculate the remainder when 97 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -0.053\nAnswer: 52.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (21 + -12)*(-14)\/(-3) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 1. Let j be c(1). Let a = j - -8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3959*r**2 - 13349*r wrt r.\nAnswer: -7918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -5. Suppose 0*u = l*u - 136. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 0, -1156, -1, -74 in descending order.\nAnswer: 7, 4, 0, -1, -74, -1156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 - 2*p**3\/3 - p**2\/2 + 3*p - 6. Let o be x(-4). Let t = o + -16. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 539\/178 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/15)*i*(i**(-8)*i)\/i*i)\/((i\/(i\/(i*i\/i**(-2)*i)))\/((i\/(i\/(i*i\/i**(-3))))\/i)) assuming i is positive.\nAnswer: i**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -66. Calculate the remainder when 34 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a - 85. Let k(l) = 4*l + 43. Let x(h) = -7*k(h) - 4*s(h). Calculate x(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -1769574?\nAnswer: 17695740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20167 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27718768 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7585?\nAnswer: 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*i + 4*i - 5*i in the form f + m*i and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 72.63 and 1.777?\nAnswer: 70.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0868 + 0.2?\nAnswer: 0.1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49266?\nAnswer: 2, 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1935 = -6*l - 522 + 471. What is the remainder when l is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 4 - 204*y**2 - 192*y**2 + 397*y**2 - 609*y - 3 as t*y + s*y**2 + x + z*y**3 and give t.\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/18)\/((-40)\/(-48)). Let y(g) = -126*g - g**a - 137*g + 263*g. Let d(q) = 26*q + 1. Determine y(d(w)).\nAnswer: -676*w**2 - 52*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011109894 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 96037 + 19*w - 96037)*(2 - 6 + 3).\nAnswer: w**2 - 19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a - 141*a = -804*a + 7962 + 58094 for a.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**2 - 2*c + 1. Let r = 26 - 42. Let b = -19 - r. Let l(n) = -6*n**2 - 3*n + 1. What is b*l(g) + 4*i(g)?\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-11)\/110). Suppose 5*h = -u - 89, q*u - h = -213 - 102. Let p = u - -181. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2822 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c + 4. Let s be j(-6). Let b = s + -19. Let g = 13 - b. Solve 2*l + 3*h + 2*h = -g, 4*h = -5*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*a - 774*a - 40 = -5*p, 0 = -5*p - 2*a + 30 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let j(g) = -g**2 + 7*g - 2. What is j(n) - 2*u(n)?\nAnswer: -n**2 + 9*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 698014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.129 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -320, -1341, -3062, -5489, -8628, -12485?\n\"Answer: -m**3 - 344*m**2 + 18*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/186*((-90)\/21)\/((-6)\/336*6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*t**2 + 21*f**2*t*w - 10380*f*t**3*w + 6*f*t**2*w + 8*f*t*w - 3*f*t + 21*w wrt t?\nAnswer: -2*f**2 - 62280*f*t*w + 12*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 8:21 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from gggrgggggggrgvrggggg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18 + -1)\/(8 + -7). Suppose 0 = -2*w - v + 31. Suppose -2*i - 122 = -2*z, 2*z - 5*i = -w + 129. List the prime factors of z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 1002*f + 21*f**3 + 22*f**5 + 3*f**5 + f**4 + 21*f**5 - 2*f**2 + 0 wrt f.\nAnswer: 2760*f**2 + 24*f + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 471794.\nAnswer: 28307.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4070 - 4068 + 0*b + b**2 - 265*b**3 + b + b**4 to the form p*b**3 + h*b**4 + q*b + a + v*b**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1976\/260 - 7)*(-2 - 3\/(-1))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1177 - -1179)*51\/(-12)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arysaaaaaaqayaasxax. What is prob of picking 1 q and 2 x?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2 (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1640*j - 93. Let f(c) = 2460*c + 130. Calculate 5*f(d) + 7*r(d).\nAnswer: 820*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -297*z + 280*z + 34. Let v(s) = -s**3 + 5*s**2 + 3*s + 2. Let d be v(5). Let x(y) = -z*y - d - 4*y + 15 + 5*y. Calculate x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9441 - 4?\nAnswer: 9439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-188)\/(-36) + (-2)\/9. Let p(w) = 4 - 2*w**2 - g - 2*w - 1 + w**2. Let v(l) = -l**2 - 3*l - 3. Determine -3*p(t) + 2*v(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**4 + v**3 + v**2 + v. Let m(h) = 7*h**5 - 5*h**4 + 5*h**3 + 6*h**2 + 5*h. Let z(u) = -5*d(u) + m(u). What is the third derivative of z(j) wrt j?\nAnswer: 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248 = 4*b - 1224 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 14 + (-14 - (-6 - -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/(-6))\/8*12*(-6)\/28.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - -59. Let p = q - 31. Suppose 0 = 3*n - 7*n + 28. What is the remainder when p is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -420, -632?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4334)\/(-10) + 28\/(-70) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -19. Suppose -4*u + 2*j + 26 = r, 2*j = -2*u - 3*j + 7. Let x(b) be the second derivative of -b**4\/12 + 2*b**3\/3 - 20*b. Determine x(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/6, -16, -0.5, 0.19552, -2 in increasing order.\nAnswer: -16, -2, -0.5, 1\/6, 0.19552, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -6, 1 in decreasing order.\nAnswer: 2, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 7.7 (c) -0.3 (d) -15\/157 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((1 - (-1 - -1)) + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-490)\/56 - -9) + -1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155497 is divided by 25328.\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from ojdjo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.7 + 6. Let s = -40 - -40.1. Let l = s + i. What is the closest to -2\/3 in l, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose 8*z = -621 + 61. Let o be (z\/(-105))\/(4\/2). Sort o, 4, w in descending order.\nAnswer: 4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200 divided by 1440.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*t**3*w - 5*t**3 + 30*t**2*w - 2*t**2 - 48322*t - 78*w wrt w.\nAnswer: -5*t**3 + 30*t**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4 + 2 + sqrt(98))*-5 + -2*(sqrt(98) - (-2 + -3*sqrt(98) - sqrt(98))))**2.\nAnswer: -1470*sqrt(2) + 22099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-9)*t)\/t*t**(2\/35)*t*t**8*t\/((t**(-4)*t)\/t))**(3\/17) assuming t is positive.\nAnswer: t**(636\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 3. Let g(q) be the first derivative of 4*q**3\/3 + q**2 - q - 1. Let z be g(1). Give t(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.009 + 11.0042. Let n = m + -10. What is n rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 13*i**2 - 314*i - 166. Give p(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8060)\/(-25) + 1 + 6\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 15573*n + 15574*n - 31144*n - 91, 87 = 5*a + n for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50986 is divided by 654?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63817392.\nAnswer: 2, 3, 1329529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78770 or -78769?\nAnswer: -78769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2337920 divided by -10\nAnswer: -233792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 11881*w - w**3 - 11879*w + w**2 - 10 + 5*w**3 to x*w**2 + t + p*w**3 + d*w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7.845 (b) 0.5 (c) -0.4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 22 = 3*b, 805*k + 3*b - 18 = 802*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/35 - (-5)\/7. Is -2\/63 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20824420 and 30.\nAnswer: 62473260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147*m - 11*m - 6926 + 26518. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/615768 and 56\/76971.\nAnswer: 615768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Suppose 5*h - u - 11 = 0, -3*h + 72*u + 4 = 74*u. Solve -z*f = y + 5, y + 12 = -5*f - h*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11358.621 months?\nAnswer: 0.94655175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -14342 less than or equal to -14340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + f - 1 + 1 - 1 - f + (-f - 4*f + 4*f)*(1 + 2 - 1) + 3*f + 1 - 1 + 13*f - 8*f + 15*f.\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1056809 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**2\/2 + 11*m - 2. Suppose -435*o = -436*o - 8. Determine c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 + 58 = 5*w. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768) + sqrt(3)*-2*4 + -3.\nAnswer: -3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*l - 93*l - 90*l - 87*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227673440 divided by 35408.\nAnswer: -6430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4489352 divided by 22.\nAnswer: 2244676\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, -19\/3, -1, 1.9, -2 in ascending order.\nAnswer: -19\/3, -2, -1, 1.9, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 18, -0.06, -0.25?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80217300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/3 - h - 9. Let k(p) = 2*p**2 + p. Let z(n) = 2*k(n) + 3*v(n). Find c, given that z(c) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/8, -1\/6, -54\/11, 0.3 in decreasing order.\nAnswer: 0.3, -0.1, -1\/8, -1\/6, -54\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 800\/72 + 7128\/(-880) + 1\/10?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*t + 0 = 2, 0 = -p - 2*t + 3. Let m(w) = w**2 - 6*w + 5. Let s be m(p). Let a be (s + 0)\/((-6)\/(-3)). Is 1 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(684) + 1 + -5))**2 + (-4 + (sqrt(684) - (sqrt(684) + -2 + -5)))**2.\nAnswer: -192*sqrt(19) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/27*(-813)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240364 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**2\/5 + 6748407*z\/5 + 20245194\/5 = 0.\nAnswer: -2249466, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 3*t = -7*i + 5, 2*i - 30 = -4*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + -2)*-3 + 1 + 2*(3*(sqrt(243) + sqrt(243) + 1)**2 + sqrt(243)))*1.\nAnswer: 207*sqrt(3) + 5845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 - 13*h - 875. What is z(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1368.15 + 1443. Let q = f - 73. What is q rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19991 take away 11147418?\nAnswer: -11167409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6771065309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 39 = 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.7006 rounded to 1 dp?\nAnswer: -26.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5\/2 + 6488*m**4 + 28025916*m**3 + 40141375435*m**2 - 1379374763257*m\/2 + 1218584950365 = 0?\nAnswer: -4331, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2255*-0.2.\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -141017\/423069 - 2\/141023. Let p(r) = -2*r + 4. Let t be p(4). Which is the smallest value? (a) -3\/5 (b) f (c) t (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -40.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -6c?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = j + 3*d, 4*j - 2*d - 113 - 19 = 0. Let i = j + -3. Suppose -3*m - m + i = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3985, 3984, 3983, 3982, 3981?\n\"Answer: -w + 3986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -185d (base 16) to base 3\nAnswer: -22120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/(-39) - 0\/3 and (-2172)\/(-7059)*2\/1.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:28 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2. Let h(c) = -30*c**2 + 9*c + 14. Let d(x) = -19*x**2 + 4*x + 5. Let p(w) = -9*d(w) + 4*h(w). Determine p(j(r)).\nAnswer: 204*r**4 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1*2\/(-20)*240\/(-48))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*f - 116725 = -5712453. Is 76 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v. Suppose 3*b = -3*l, 2*b = l - 2*l - 2. Let m be i(b). Do -11 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -110 + 107. Let f(y) = 5*y - 1. Let a(s) = -9*s + 4. Let k(v) = c*a(v) - 5*f(v). Let j be k(3). Let i(l) = 27*l**2 - l - 1. What is i(j)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 145?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*h + 73*h + 90600 = 0. Suppose 4*s - 10*n - 60400 = -11*n, 2*n = -3*s + h. Round s to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35173279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62944, -62939, -62934, -62929, -62924, -62919?\nAnswer: -62914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959*y - 44 = -3*b - 955*y, y = -3*b + 79. Solve -7*w = -73 + b for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291101, -582204, -873307, -1164410, -1455513, -1746616?\nAnswer: -2037719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13268\/127 or 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3)*(180\/8)\/(-15). Let m be 10\/6 - 5\/(-15). Solve -m*f + x = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 18, -2, -16 in increasing order.\nAnswer: -16, -2, 13, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.0935\nAnswer: -0.02805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92236268 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2280, 2309, 2424, 2625, 2912, 3285, 3744?\n\"Answer: 43*d**2 - 100*d + 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -698*y**5\/5 + y**4 - 44*y - 2940. Differentiate t(f) wrt f.\nAnswer: -2792*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*p*q + 2*c*p + 12346*c*q + 42*c + 40*p*q + 280*p - 2*q + 7 wrt p.\nAnswer: -c*q + 2*c + 40*q + 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -226, -338, -450, -562?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 14 - 11*f**2 + 6*f**2 in the form c*f + v*f**2 + g and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/120 + 4663049993\/21. What is y rounded to the nearest one million?\nAnswer: 222000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487385156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(78)\/(sqrt(6)*1) + -2)**2).\nAnswer: -8*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 + -31)\/(((-2)\/(-2))\/(-30)*(-936)\/3744)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -600406.936 rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 12. Suppose u = -h*n - 2*u - 42, 0 = -2*n - u - 30. Let o = n + 19. Solve -3 = o*q + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4103*b = -3949*b + 2002 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212972 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g - 2*a - 63, -5*g + a + 81 = 0. Suppose 3*x - 173 = -p, 3*p = 5*x - g + 465. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296647814*v**2 + 148323915*v**2 + 148323938*v**2.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5545295, 11090609, 16635923, 22181237?\nAnswer: 27726551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 0*o + 40 = 0. Suppose -t + 22 = -3*f, -o*t + 78 = -t + 3*f. Let h be (-81)\/(-15) - 2\/5. Calculate the greatest common divisor of h and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 11*q + 2*t - 1 = 0, -3*t = -9*q - 54 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 4\/6) + 198\/240. Let m = 1\/24 + x. Factor m*h**3 + 1\/5*h**2 + 0*h + 0.\nAnswer: h**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4165487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -12*k - 25*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 2*n - n**3 + 10 + 7*n**2 + 4*n. Suppose 5*d - h - 2*h - 35 = 0, h - 14 = -2*d. Is s(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, d: 1, w: 1, h: 5}. What is prob of picking 2 k and 1 d?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 1, 1\/24, 0.12, -6.409?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/1144 and 3\/1859?\nAnswer: 14872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/5 + 16*t\/5 - 8 = 0. What is t?\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3 + sqrt(272)*-2)**2 + sqrt(272) - sqrt(272)) + -3 + 4 + 3.\nAnswer: -5481 - 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.602341 to the nearest integer.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**3 + 8*y**3 - 33*y**3 + 10*y**3 - y**3 + 5*y**3 - y**3 + 0*y**3 - 2*y**3 + (-2*y**2 + 3 - 3)*(-2*y + 5*y - 4*y).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 + 319. Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 7) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 120*b + 460 + 1121 = 0 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - -1*sqrt(104)*2) - sqrt(104))*3)\/(sqrt(80)\/sqrt(2560)).\nAnswer: 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, t: 3, u: 1, j: 6, n: 2}. Give prob of sequence jnug.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/((-78)\/24))\/((-4)\/26). Let c(l) = -l**2 + l + 10. Let o be c(0). Let w = i - o. What is the highest common divisor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.8. Let m(t) = t**3 - 5*t**2 + 8*t + 1. Let w be m(6). Let j = w + -593\/7. What is the nearest to j in o, -4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 115. Suppose -5*c + 230 = 4*f, 2*f + 5*c + 250 = 6*f. Suppose -4*x + f = -i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**5 - j**4 + j**3 + j**2 - 2. Let k(r) = 7*r**5 + 3*r**4 - 2*r**3 - 3*r**2 + 5. Let l(x) = -5*f(x) - 2*k(x). Let l(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (48\/(-5))\/(15\/50). Is 11 a factor of (528\/g)\/(3\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91*b**4*o + 275*b**2*o**3 - 12782*o**3 - 20*o wrt b?\nAnswer: 364*b**3*o + 550*b*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.86459 and 99.\nAnswer: 85.59441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71745, -71826, -71907, -71988, -72069?\nAnswer: -72150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 3*s + 4. Let y be a(-4). Solve -5*p + y = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31283124097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068 times 12946?\nAnswer: -880.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {c: 8, p: 8, w: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.101, -1\/3, 1 in descending order.\nAnswer: 1, 0.101, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 6. Suppose -3*r = 2*r - 20. Let m be d(r). Suppose -5*n = 4*q - 24, 2*q + 5 = m*n - 1. Sort -2, 3, n in decreasing order.\nAnswer: n, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457858591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*l + 1782, 0 = -y + 2*y + 5*l - 602. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - 12110?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627*q + 133955 = -260*q. Calculate the smallest common multiple of 7 and q.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7454.4 less than -1.0004847?\nAnswer: -7455.4004847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 328.5742 litres in millilitres?\nAnswer: 328574.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 3:36 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 171\nAnswer: -4\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/72)\/(1 + 6\/(-3))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-6 - ((-7 - -17) + 3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 76. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004656039 rounded to seven dps?\nAnswer: 0.0004656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -771*w**2 + 10*w. Let s be k(10). Let j be (0 - -1) + s + -3. Let n be -1 + j + (4 - 1). Round n to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/17 - 484*o**3\/17 - 13224*o**2\/17 + 6418512*o\/17.\nAnswer: 2*o*(o - 174)**2*(o + 106)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**4\/4 + 5*m**3\/3 + 18*m**2. Let t(v) = -v + 2. Let h(z) = g(z) - 5*t(z). Let x(w) = -w - 34. Determine x(h(r)).\nAnswer: r - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3472 and 2588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4*(-16)\/4. Suppose -5*c + t*c + 30 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1539 + -1543. Which is the biggest value? (a) 1\/52 (b) 0 (c) -0.1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1640783\/30 + -54691. Let b = 46279\/12 + -3859. Calculate the common denominator of j and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 40*w**2 + 117*w + 4679. Give r(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40794011 to the power of 1\/2, to the nearest integer?\nAnswer: 6387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 8. Suppose -8*d - 51 = -3. Give o(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -1036, -2094, -3568?\nAnswer: -5458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (40 + (-2625)\/63)\/(1\/12)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253283.6159 - 0.03?\nAnswer: -253283.6459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16482\/13 - -1268. Which is the fourth biggest value? (a) -3 (b) l (c) -1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 6 + 6 + (-470*o - 6 + 8 + 245*o)*(-1 + 1 - 2) to the form z + y*o and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*4\/(-1 - -5). Suppose 5*y + 9 = 2*y. Let g(q) = 3*q**2 + 2*q - 1. Let v(h) = -h**3 - 4*h**2 - 3*h + 1. What is n*v(t) + y*g(t)?\nAnswer: 2*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 8*n**2 - 11*n - 6. Suppose -18 - 14 = -4*b. Let v = 59 + b. Calculate the remainder when v is divided by f(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4600 divided by -4.\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/157 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 17 - 2. Let t(h) = -h**2 + 3*h. Let d be t(v). Sort 2, 4, d in descending order.\nAnswer: 4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001112001120 (base 3) to base 12.\nAnswer: 4484b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4045032100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -1, 7, 13, 17, 19?\n\"Answer: -z**2 + 13*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-365)\/219*(-21)\/10*(-256)\/56?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w - 7. Is 16 a factor of (1 + 8\/w)*23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 125 = -3*g, 4*g - 26 = -s - 158. Is -128 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from tkkkkthhhhttutthk.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 - h + 8*h**2 + h**2 - h**2 + h**3. Let g(m) = -m**3 - m**2 + 2*m + 1. What is 2*g(c) + 4*n(c)?\nAnswer: 2*c**3 + 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yypucyaappd. What is prob of picking 1 a and 1 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 2.23 (c) 2376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.11 + -2.61. What is the fourth biggest value in -3, t, -1\/3, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, 1, 3 in decreasing order.\nAnswer: 18, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.220888 millilitres?\nAnswer: 0.004220888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 6*a + 5. Let l(m) = -m**2 - 3*m + 2. Let n(t) = -5*l(t) + 2*s(t). Give n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*v - 3 = 0, 2*v - v + 3 = r. Solve 3*h = r*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + i + 4*i + (3 - 3 + 2*i)*(-1 + 1 + 1))*(-6*i + 14 - 14) to the form a*i**2 + u + l*i and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -0.1, -3 in ascending order.\nAnswer: -3, -0.1, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9904*i + 9934*i = -60 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -7*k**2 - 5*k - 7. Let i be t(-2). Let m be (-2856)\/(-700) + 2\/i. Solve -3*p - 11 - 6 = -m*d, 0 = p - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h - 68 - 17. Let p(o) = 4*o. Let x(v) = v. Determine h*p(m) - 5*x(m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 4*x**2 + 1 - 3*x**2 - 2*x + 0*x**3 as a*x**2 + o + w*x**3 + c*x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-14 - -19) + (-2 - 1))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 150009 divided by 5\nAnswer: 150009\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m = -218 - 368 + 74 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from ffhwhfhwhfhf?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t + 5 - 7 + 6*t - t**2 to c*t**2 + a + z*t and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.96 and -2?\nAnswer: 31.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 4*n**2 - 5*n + 2. Let h be z(-5). Suppose 23 = h*k + 9. What are the prime factors of (-54)\/(5\/(2 - k))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18390 is divided by 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + o + 13. Suppose x + x = -5*f - 4, 0 = 4*f - 3*x - 6. Let j be s(f). Solve -7 + j = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838391566.\nAnswer: 2, 11, 263, 317731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16402435 by 468641.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/8 (b) -3\/4 (c) 64\/25 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182479 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/57))**13*j**(8\/3)*j\/(j*j**(-4\/21)) assuming j is positive.\nAnswer: j**(1231\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-375)\/15 + (-1)\/((-77)\/1837)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03191343 and -0.62.\nAnswer: 0.0197863266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 136275 and 1.2.\nAnswer: 163530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42610995 + -64582113. Let s be (1318 + -1)\/((-2)\/108). Let c = s - o. Round c to the nearest 1000000.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.39 to one decimal place.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) -1\/11377 (b) -2\/21 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 5*j**2 - 2*j + 25. Let w be p(-6). Let s = w + 2. Determine h, given that 3\/4*h**4 - 3\/4*h**2 + 0 + 0*h**s + 0*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2455*q**3 + 1757*q.\nAnswer: 14730*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 7*d**2 + 5*d + 5. Let p be c(-5). Let i = p - 21. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15385, -30722, -46063, -61408, -76757, -92110, -107467?\n\"Answer: -2*w**2 - 15331*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/133 and -85\/266.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34911 and 3.\nAnswer: 104733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-32))\/(1526\/981*27*(-1)\/8).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 7*u - 11. Suppose 10 = k - 0. Let d be a(k). Let p = d - 11. What is the least common multiple of 20 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -18, 2726, -1 in decreasing order.\nAnswer: 2726, 0, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 5*l**2 - 4*l + 6. Give b(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (-4 + (0 + sqrt(833))**2 - sqrt(833))) + (5*sqrt(833)*-2)**2 - ((sqrt(833) - (sqrt(833) - (0 + sqrt(833)))*-2)**2 - (sqrt(833) + 0 + -1)).\nAnswer: 21*sqrt(17) + 81637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 - o**3 - o**3)*(-3*o**2 + 7 - 7)*(0 - 2 + 4)*(4 - 3 + 1).\nAnswer: -12*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474615 and 541395.\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 570, 525, 458, 375, 282, 185, 90, 3?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(7) - (sqrt(7) + sqrt(1344)\/sqrt(3))) + sqrt(7))**2*3.\nAnswer: -6174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.2 * 1.7.\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -79197300 = -395986504\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 1, -13, -27, -41?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*q + 4*f - 7, 4*f - 6 = -5*q. What is the common denominator of -107\/6 and 18\/7 - (1 - q)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.03 or 489?\nAnswer: 2.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z - 165 = 0. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 5*f**2 + 4*f - 17. Let i be n(5). Let p = 0.2 - -0.8. Let y = 1.5 - p. What is the smallest value in y, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -129, 1\/5, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -226438*l**3*t**2 + l**3 - 4*l**2*t**2 + 2*l*t**2 - 183*l*t + 25*l wrt l.\nAnswer: -1358628*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aapaaaaapapaapap. Give prob of sequence aap.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -1, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, f: 7}. What is prob of picking 3 f?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(15\/(-90)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85593799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-81) - (-272)\/3. Calculate the greatest common divisor of 39 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 24*h**2 + 11*h + 2. Let k(x) = 237*x**2 + 111*x + 21. Calculate 2*k(n) - 21*w(n).\nAnswer: -30*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**3 + 6*w**3 - 6*w - 2 - 6*w**2 - 1. Let v be p(7). Suppose -3*s + 8*s + 12 = v*o, o = -2*s + 3. Solve s = y - m - 0*m - 4, y = -5*m - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2559 divided by -34?\nAnswer: 2559\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2 + 4*r + 1. Let q be g(-2). Suppose 28 = t - q. Calculate the remainder when t is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.2728431 minutes in weeks?\nAnswer: 0.005384210625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 520 divided by 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3272979583 to the nearest integer?\nAnswer: 57210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146 - -16104?\nAnswer: 16253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 19*m - 2. Let z be a(10). Let f = z + -71. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.2 - -15. Let f = 4.02 + -0.02. Which is the nearest to 1\/2? (a) l (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41575 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29479134449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 711 and 29385?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/35 + 144\/14. Suppose 2*i - 3*s + 4*s = g, -5*s = -10. Is i less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13c1 - -176?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. What is the least common multiple of q\/3 + 93\/9 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/24 - 95*v**4\/48 + 20*v**3 + v**2 + 101*v. Solve x(c) = 0.\nAnswer: 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6270\/13? (a) -5 (b) -3\/5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08578617 - 0.9.\nAnswer: -0.98578617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 311577947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 55*o + 1. Let r(m) = -175*m - 2. Determine -8*a(t) - 3*r(t).\nAnswer: 85*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42108 times -0.3?\nAnswer: 0.126324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(-4)\/6. Suppose -v - 3 = d. List the prime factors of (170\/25)\/(v\/(-10)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15052, 52, -5, 5, -1 in increasing order.\nAnswer: -15052, -5, -1, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 10 + (-2)\/2. Let r(h) = -h**2 + 9*h + 10. Let g be r(n). Let s be (0\/2 + g)\/1. Is 0 equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.9*-0.4\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 7. Let c be 0 - (-6 + -2 + 6). Suppose -6*k - c*k + 56 = 0. Calculate the remainder when v is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67884 divided by 12\nAnswer: -5657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17a + 147?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 10*i + 43437 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*y**3\/2 - 29071782*y**2 - 60369170883456*y + 34496678569088.\nAnswer: -(y + 4153112)**2*(7*y - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1505838 is divided by 1334.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Let r = y + 0. What is the closest to 0.2 in 2\/3, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -123*t - 626. Calculate m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h = 15. Suppose 796 + 1954 = h*u. Is u\/14 - (-2)\/(-7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12239 <= 2803062\/229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*m = -4*q + 7554, 4*q + 2*m - 6054 = 0. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10186 and -1.1.\nAnswer: 11204.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n - 1. What is the remainder when 78 is divided by o(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27d (base 15) to base 11\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 31578 + 31578.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 1\/3 (c) -4 (d) -5 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from rrkwwbr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 102 and 0.1.\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let d(k) = -2*k**3 - k**2 - 2*k - 2. Let h be d(s). Solve -4*j - h - 6 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*i*v - 5*i + 87*v wrt i.\nAnswer: -7*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + r**3 - r**3)*(3*r - r + r) + (-4 + 35*r**2 - 33*r**2 - 3)*(-3*r**2 - r**2 + 5*r**2).\nAnswer: 8*r**4 - 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((81\/168)\/(-3))\/((-144)\/(-168)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -63a82 (base 15) to base 9\nAnswer: -531725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asyscsaaltl. Give prob of sequence stlc.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.4, -0.16, 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdbfudzc. Give prob of sequence cbdz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 82*y = 101*y + 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 25 = 3*s, 16*s - 21 = 11*s - 2*h. Solve 19*p - 18*p - 3*a + 17 = 0, -s*p - 35 = -5*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.400000244 + 8.4. Round w to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -190?\nAnswer: -2090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 16. What is the greatest common divisor of 48 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 145*x**2 - 9*x - 18. Calculate s(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.31058 millilitres?\nAnswer: 0.07431058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2.93\nAnswer: -11.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93198 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = y - 21910, 65682 = 3*y - w. Suppose 5*x - 2*q - y = 3*q, -21907 = -5*x - q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 + -0.2. Let s = i + 3.99975. Round s to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 11*s**2 - 12*s - 3. What is k(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 44*u - 55. Let y(n) = -5*n + 6. Suppose 0 = -8*d - 625 + 577. Calculate d*k(r) - 55*y(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 5\/7, 587006 in decreasing order.\nAnswer: 587006, 5\/7, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.1 + -11. Let u be 1404\/((-1053)\/(-39)) - 55. Let f = -1 - -0.9. Which is the nearest to f? (a) 5 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 3*z**2 + 2*z - 4. Let i be q(3). Suppose -3*l + 7 = -i*l. Suppose -l = -7*d + 7. Calculate the lowest common multiple of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 2. Let n be c(0). Let h(g) = -g**2 - 2*g**2 + g**n. Let u(f) = -5*f + 2. Let k(o) = 26*o - 11. Let r(x) = 2*k(x) + 11*u(x). Calculate r(h(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 445843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 35*s - 87. Let p be t(-4). Solve 0 = -l - c + 7, 0*l + 5*c + p = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = y + 7, 0 = 5*l - 2*l - 2*y - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 10*s + 5*s + 10*s - 19*s in the form h*s + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 670 + 380. Round d to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -6 - (-27 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-25 - -34 - (2 + 12)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75353941 + -36617252. Let l = -17936689 + u. What is l rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-30)*3)\/(2\/(-120)). Suppose 4*b + v = -28. Let l be b\/5 + 52\/13. What is the closest to -0.04 in l, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187269 by -3.\nAnswer: 62423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2530 = -3*d + 2551 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65\/2 in 4, 5, -462\/5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 676088.154ns?\nAnswer: 0.000000001117870625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*v**2 + 2*v - v + 45*v**2 - 15 - v to z*v + n + s*v**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13427 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -212*v + 426. Give a(4).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 5309?\nAnswer: -530b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 237*d - 193. Solve 13 - 7 = -d*a + q, 10 = -a - 3*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-39) + 545456\/(-22776).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32\/17 + 3104\/85. Let r = m - 38. Let s = -5 + 4. Which is the nearest to r? (a) 2\/5 (b) s (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4035.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 3. Let l be m(-3). Suppose 2*s = 7*s + 3*x - 132, -4*s - 3*x + 108 = l. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a day?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.76 - 0.24. Let v = -14.6 - r. Let d = -0.400001 + v. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11 and -0.05412?\nAnswer: 10.94588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97943, 195809, 293593, 391289, 488891, 586393?\nAnswer: 683789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -16*q. Let h(s) = 9*s + 9*s - 19*s. Calculate k(h(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - k - 41726 = 0, n - 3*k - 17370 = 24350. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69009615?\nAnswer: 3, 5, 19, 80713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 344\/1467 + -2\/163. Suppose -5 + 10 = -3*x - 5*s, 0 = 3*s + 3. Which is the nearest to o? (a) 0.5 (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 2*w - 4*n - 35, -5*n + 45 = 5*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3616269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - 2.3. Let o = z - 1.1. Which is the nearest to 0.2? (a) 1 (b) o (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 38*p = 21*p - 9028. Calculate the least common multiple of p and 5.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3509*r - 326330. Determine g(93).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.8 in -1\/105, 0, 1, 2, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - u + 8, -2*t - 6 = -5*t + 2*u. Suppose 344 = l + 3*l - t*g, l - 86 = -5*g. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3518*x - 3912*x - 19306 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 greater than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4 + 337*f**3 + 3269*f**2 - 337*f - 3270 = 0.\nAnswer: -327, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 divided by -4?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-9)\/27 + 2\/(-12)). Solve -5*l + 18 = -0*b + 2*b, -2*b - 10 = -t*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 13*l + 0 + 4*l in the form f + m*l and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a**2. Let f be z(1). Let c = -6 + 6. Suppose -4*i - 79 = -11*d, -4*i - 92 + 48 = -4*d. Solve f*m - m + d = c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.581906 litres to millilitres.\nAnswer: 9581.906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 5*l - 2*w + 7, 0 = -2*l - 3*w + 5. Suppose b + 12 = 23. Calculate the least common multiple of l and b\/((-11)\/(-8)) + (3 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -795*p**3*y**2 - p**3*y + 2*p**3 - 3*p**2 + 438*p*y - y**2 wrt y.\nAnswer: -1590*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swbwwbxxlx. What is prob of picking 1 s and 2 b?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5600 and 103\/324800?\nAnswer: 324800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 129248355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003296 to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1111a1 - -119?\nAnswer: 1112ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*k**2 - 2662*k**2 - 384*k**2 - 697*k**2.\nAnswer: -3255*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 233 + -274. Let j = i - -259. Calculate the remainder when j is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (71 - 23) - ((0 - -16) + 1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + g**2 + 5)*(-3*g**2 - g**2 - 4*g**2) - 79*g + 48*g + 2*g**4 + 38*g.\nAnswer: -6*g**4 + 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-6) - 7\/21. Let v = b + -6. Solve -v = -2*f + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -6*n - 8. Which is the fourth biggest value? (a) n (b) 4\/7 (c) 7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from daddodoooodkodooddd.\nAnswer: 96\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, 108, -2 in decreasing order.\nAnswer: 108, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 20608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 13*n**2 + 11*n - 12. Let g be r(-12). Solve -k = -g*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7550 = -4*o - 2*r, -r = o + 1890. Let g = 850 + o. Round g to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 0. Let p = 1.6 + -0.6. Let k = 91 + -1185\/13. Which is the closest to x? (a) k (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, -1\/3, 122784?\nAnswer: 122784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.674071 nanoseconds to hours.\nAnswer: 0.0000000000132427975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 k, and 1 d when four letters picked without replacement from {k: 5, z: 4, d: 10}.\nAnswer: 100\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 2*p**5\/15 + p**4\/12 + 29*p**3\/2 - 69*p**2. Find the first derivative of r(z) wrt z.\nAnswer: 16*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 34\/5 of a kilometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 35*z**2 - 300*z + 5. Let c be x(20). Put 4, -59, 2, 1, c in decreasing order.\nAnswer: c, 4, 2, 1, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3007 + 0.3007. What is the second biggest value in 12, y, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 6*w - 2*w. Suppose -b = -w + 8. Does 26 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*o + 0 - 188\/5*o**4 - 924*o**2 + 1872\/5*o**3.\nAnswer: -4*o*(o - 5)**2*(47*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r + r**4 + r - 3*r**4 - 2 to s + q*r**3 + v*r**2 + p*r**4 + c*r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u**2 + 2*u. Let s(m) = -5*m**2 - 3*m**2 - m**3 + 6*m**2 + 3*m. Let x(z) = -z**3 - 2*z**2 - 5*z - 7. Let t be x(-1). What is t*p(g) + 2*s(g)?\nAnswer: g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbfltbbatlfa. What is prob of sequence llb?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/3*-1*8. Differentiate -3*s**2 + 0 - 1 + q with respect to s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-16)\/(-128)*(-3)\/25\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-1) + 6 + 105. Let o = -101 + d. What is the lowest common multiple of 32 and o?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35736 + 203?\nAnswer: 35939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/14 - (-43 - -41)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-8))\/(9\/(-12)). Suppose -5*d + 0*d + 25 = 0. Suppose c*l + 22 - 58 = 4*i, d*i + 78 = 4*l. What is the lowest common multiple of l and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.17 + -1.21. Put -0.2, -0.5, k, 2\/7 in increasing order.\nAnswer: -0.5, -0.2, k, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153671 by -757.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let q(z) be the third derivative of 3*z**5\/20 + 8*z**2. Give s(q(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -300739?\nAnswer: -300741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5281171 or -5281169?\nAnswer: -5281171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 13 = -a, 3753*x - 81 = -5*a + 3752*x for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212197465 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/10 + ((-99)\/(-15) - 2). What is the third derivative of 4 - 12 + 8*w**z + 8 - 6*w**2 wrt w?\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446600793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -225, -489, -725, -933, -1113, -1265, -1389?\n\"Answer: 14*s**2 - 306*s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 26*k**2 - 118*k + 4344. What is x(23)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 7*a - 2*k - 14, -k + 2 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251.56 - -257. Let y = n - -0.56. Suppose 4*d + 8 = -0*d. What is the second smallest value in -1\/4, y, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/152 - (-784)\/456.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/22*((-3655)\/(-86))\/85\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c + 10*c - 2100 = -82*c - 72*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 798 = 146. Let l = a - 233. Solve 0 = -l*g + 7*g + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o**3 + 11*o**2 - 64*o + 11. Is 70 a factor of y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 40. Is 1262\/10 + t\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -10 (b) 1.09 (c) 1 (d) -15 (e) 1\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 47, 89, 137, 185?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) - 5\/(-150).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 6*o**2 - 4. Let j be v(6). Let l be ((-2)\/j)\/((-1)\/(-4)). Solve l*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 7*f + 4. What is the closest to -1 in f, 4\/3, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 + (89 - 76 - (-11 - 13))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/52 + -2333\/260. Find the common denominator of u and 398\/(-20) - (0 - (-6)\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 5 - u**3 - 6*u**3 + u**3 - 30413*u**2 + 30413*u**2.\nAnswer: -4*u**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d + 17 + 22*d + 21*d - 7*d - 17.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 7*g**2 + 2. Let p be f(7). Solve q + 4 - p = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 145, 286, 483, 736, 1045?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**(2\/13))\/(x*x**(-7\/2)*x))**(2\/11) assuming x is positive.\nAnswer: x**(113\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 9 = -x. Which is the second smallest value? (a) 2 (b) -2 (c) -2\/5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 607.1437 millilitres to litres.\nAnswer: 0.6071437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p + 4*u + 26 = 0, 4*u + 47 = 5*p. Solve 0 = -f - 6 + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 - 3*w**2 - 3. Let h(a) = 6*a**3 + 30*a**2 + 10. Let y(o) = -o**3 + 2*o**2. Let m(n) = -h(n) + 10*y(n). Give -3*m(j) + 10*r(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 r when two letters picked without replacement from {q: 4, r: 9, m: 1}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**4\/2 - 27*b**3\/2 - 108*b**2 - 286*b - 240 = 0.\nAnswer: -15, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10049357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 267222399 rounded to the nearest 100000?\nAnswer: 267200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-3)\/5)\/((-3)\/60*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 17 = -55. Suppose 2*o - 54 = -4*j - 14, 64 = 2*o - 4*j. Let y = n + o. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77 + 7?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, s: 6}. What is prob of picking 2 s and 1 y?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let b(y) be the second derivative of -y**7\/840 + 2*y**4\/3 + 8*y. Let o(p) be the third derivative of b(p). Determine x(o(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((48*(272\/64)\/(-17))\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x - 247 - 307 + 553.\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61819639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90433*a**2 + 8260*a - 3 wrt a.\nAnswer: -180866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.273835 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 12, 21, 32, 45?\n\"Answer: c**2 + 4*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - 1.83. Let f = h + 1. Let y = 121 - 1329\/11. Which is the biggest value? (a) f (b) y (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3252*b - 32519. Calculate p(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51822180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119698, 239395, 359092, 478789, 598486, 718183?\nAnswer: 837880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 2:37 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*q**3 - 95*q**2 + 7*q - 104?\nAnswer: 60*q - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 - (1000\/(-630))\/2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*92\/(-101660)*-5.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - -249. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111101100100 (base 2) in base 8?\nAnswer: 67544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 16 - 15. Let c(d) = -d**3 - 3*d**2 + 4*d + 6. Let r(l) = 1 + l**2 + 2*l + l - 4*l - 2. Let k(i) = q*c(i) + 6*r(i). Factor k(f).\nAnswer: -f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137 and 85625.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -13. Suppose 51 = -4*h + h - 3*y, -2*h - 4 = -4*y. Let z(w) = -w**2 - 14*w - 24. Let j be z(h). Put -5, m, j in decreasing order.\nAnswer: m, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4927603000 rounded to the nearest one million?\nAnswer: 4928000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 8*d - 13\/2*d**2 - 1\/120*d**5 - 1\/16*d**4 - 1\/6*d**3 + 0. Let f(j) be the first derivative of i(j). Factor f(n).\nAnswer: -(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 224*c**3 + 2*c**4 + 210*c**3 + 455*c - 451*c to s*c**3 + p + y*c**4 + k*c + j*c**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7847*u = 7758*u + 2937 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-40) + (114\/8 - 1). Let y be (n\/2)\/(((-35)\/84)\/(-5)). Calculate the greatest common divisor of 65 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 15812*r - 13 - 15817*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3280*v - 11584*v - 3819*v + 1733589 for v.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -39*j + 68. Let v be a(7). Let h = 217 + v. What is the greatest common divisor of 132 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1748.41881 to zero decimal places.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-49)\/6 + ((-4)\/16 - (-1386)\/168). What is the biggest value in 1\/4, 2, 1, -4, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 30\/4 - (-2)\/(-4). Suppose 2*y = -4*v, -i*v - 1 - 6 = -y. Find the first derivative of y*g**3 + 27 - 2*g**3 + 28*g**3 + 5*g**3 wrt g.\nAnswer: 99*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - ((5 - -16) + -36 - -7).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from {q: 2, w: 1, d: 1, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 + (-12)\/(-3). Factor -3*z**3 - 5*z - z**3 - c - z**2 + 6*z**2 + 9*z**3.\nAnswer: 5*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -12, 16\/5, -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**4\/2 - 14067*d**3\/2 - 10699149*d**2\/2 + 14609248911*d\/2 - 7299267846 = 0?\nAnswer: -2683, 1, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o**5\/2 + 10095*o**4 - 52977*o**3 + 82392*o**2 - 92601*o\/2 + 6777 = 0. Calculate o.\nAnswer: -753, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 2*d**2 + 3*d - 4. Let y be q(-3). Let k be (-6690)\/(-32)*(-8)\/12. Let l = k - -139. Which is the nearest to -1? (a) y (b) l (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-63) + (-16)\/12. Let x = 1082 + -11903\/11. Suppose -4 = -3*u - u. Sort u, x, o, 0 in ascending order.\nAnswer: o, x, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 0*v - v)*(9*v + 16 - 16) - 7*v + 20*v**2 - 86168 + 86168 to w*v**2 + u*v + l and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-32) + 28\/(-32).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -149. Differentiate 45*t + u*t + 75 + 113*t + 30 + 146 with respect to t.\nAnswer: 223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5*o + y - 46 = 0, -5*o = 3*y - 226. Calculate the highest common divisor of o and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907 + 5*z**3 + 0*z**3 - 3*z**3.\nAnswer: 2*z**3 + 907","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 7 (b) -4\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 + -86. Which is greater: x or 58?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 371760994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 11*n**2 - 31*n - 7. Let i be t(-4). Let x(r) be the third derivative of 61*r**4\/24 - r**3\/3 + r**2. Is x(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 559 - 562. What is the closest to 0.4 in 0, 3, -2\/17, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 10. Suppose -w + 2 = t, 6 = w - t + x. Solve -4*z = 4, -4*z - 24 = w*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13679005 not equal to 13679009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00373 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 4:30 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t - 9 + 10 + 4*t. Let p(a) = 9*a - 1. Let c(g) = 5*m(g) + 2*p(g). What is the first derivative of c(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16279 and 446?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4906372*u**2 - 2106*u - 877 wrt u?\nAnswer: 9812744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.471 to 2 decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556305910.\nAnswer: 2, 5, 197, 790003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 5420568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let t = -44 - -30. Let i = -10 - t. Which is the third biggest value? (a) i (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -3\/2*g**2 + 0 + 1\/3*g**3 + 2*g. What is the units digit of m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4161312 and -0.2.\nAnswer: -4161312.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 1 = -61. Suppose 3*h - 16 = 35. Suppose h - 92 = -m*w. Solve -j = -w - 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3402016?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1703 + 1703 - 3188*b**2.\nAnswer: -3188*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -7.3. Let t = y - -0.6. Let q = t + 0.6. Sort q, 1, 3.\nAnswer: q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.75808 nanometers in kilometers?\nAnswer: 0.00000000008775808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 + 9536*h**2 = 0.\nAnswer: -2384, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-88120)\/400946*(-84)\/(-10)\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 31*j - 256. Suppose -j*o - 6*o = -264. Suppose -a + 9 + 7 = 0. What is the greatest common divisor of a and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5822, -12083, -19174, -27503, -37478, -49507, -63998, -81359?\nAnswer: -101998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5060, -4806, -4552, -4298?\nAnswer: -4044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480423?\nAnswer: 3, 160141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5010?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x = 27*x - 56. Solve x*g = -3*o + 24, -2*g + 9 = 3*o - 3*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1311427.\nAnswer: 13, 281, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b37 - 4c4?\nAnswer: -710b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1024 + 992. Which is bigger: -12 or z?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = 4*a, 3*a + 7*t - 12 = 3*t. Let u = -2 + 10.4. Let x = 5.4 - u. Sort 0, a, x, -5\/2 in descending order.\nAnswer: a, 0, -5\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*h = -24, 6*u + 3*h - 21 = 3*u. Let y = u - 5. Sort y, 1, 3.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803962798.\nAnswer: 2, 3, 7, 13, 23, 24809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*j**2*z**3 + 1206*j*z**3 + 3*j - 14*z**3 - 4*z**2 - 3438*z with respect to j.\nAnswer: -22*j*z**3 + 1206*z**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -703 + 1466 - 313*s + 841*s wrt s.\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2142 - (4 + -1)*(-65)\/(-39). Let i = s + -849. List the prime factors of i.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 14*l - 18. Give q(-13).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + 1.1. Which is smaller: 0.8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 11*v - 16*v - 10, -2*w = 5*v - 25. Let u(t) = 19 + 6*t - 13*t + 3*t + w*t. Give u(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n**2 - 22*n + 60. Let a be l(6). Let f be (-288)\/a + 16\/3. Solve -2*c - 12 = f*b, 2*c + 3*b = 3*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -13 + 1. Let m = 3 - j. Calculate the greatest common factor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-4 + 4 + 2*y)*(10 - 10 + 9*y**3) + 0 + 0 - y**4.\nAnswer: 35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*v - 20 = 0, -2*l + 3*l = v + 11. Suppose 0 = 4*c - 9*c + 40. Calculate the highest common divisor of l and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 597177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15872 = -2*t - 5951, 0 = 5*t - 15. Round s to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 215456*x. Let g(l) = 2*l. Give g(s(q)).\nAnswer: 2*q**2 - 430912*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1391, -2786, -4181, -5576, -6971?\n\"Answer: -1395*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 39*n = -72. Let y be -59 - 1*(1 + 0). Let u be (-4 + 1)*y\/n. Solve 0 = -5*b + b - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11666387?\nAnswer: 47, 89, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8699 + -18.5351. Let q = r + 19. Round q to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**3 - 202*n**2 + 66*n - 71. What is l(67)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nus when three letters picked without replacement from niqiuqqvsqquivq?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Let p(h) = 3*h**2 + 4573*h - 3. Calculate z(p(x)).\nAnswer: 3*x**2 + 4573*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -16*m - 48. Let q be f(-3). Let z(i) be the second derivative of 0*i**3 - 1\/10*i**5 - i**2 - 3*i + 0*i**4 + q. What is the derivative of z(v) wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {e: 2, n: 10, l: 1, z: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 941180 + -1462373. Let r = -76193 - h. What is r rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + 6*(0 + sqrt(176)))**2 - (-4 + sqrt(176) + -1))*3.\nAnswer: -12*sqrt(11) + 25887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*x + 50, 3*b - 120 = -0*x + 4*x. Suppose -z = -32 + b. Let s = 10903\/6 + -1830. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 6*n**2 + 4*n - 6. Suppose 5*m - 24 = m. Let p be x(m). Let b(g) = 15*g + 317. Let s be b(-21). What is the greatest common factor of p and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.839 - -11.762. What is a rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31966.62 rounded to the nearest one hundred?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l - 3. Determine b(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 + (-1566103)\/1009554?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 - -218. Is ((-4)\/6)\/((-7383)\/(-7389) + i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 266*z**2 - 587*z - 3. Is x(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/659938 and -27\/20.\nAnswer: 6599380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -454*o + 451*o + 105. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 30. Suppose -18*d = -21*d + 9. Which is the biggest value? (a) q (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -26. Suppose 4*m = 0, 10 = 5*t - m - 10. What is the nearest to i in t, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 3. Let k be q(0). Let i be -3 - (0\/k + 0). Let n(h) = h**3 + 3*h**2 - h + 4. What is n(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287686510669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 333?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -2*r + 2*k, -r = 5*k - 15. Factor -4*w**2 - 25*w - w**2 + r*w**2 - 3 - 27.\nAnswer: -5*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 + 3*s - 4. Let z be d(-4). Let h = 0 - z. Suppose h = 4*q + 18 - 50. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - 4.87. What is the nearest to 1\/4 in -3, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 22.5. Let p = -2.5 + i. Let o = 4 + p. Which is the nearest to o? (a) 1\/7 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -79, -147, -239, -361?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-41)\/3 - (0 - 1). Let d = 13 + i. Let z = -5 + 5.4. Which is greater: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -46. Suppose -2*n = -5*p + 2*p + 32, 2*p - n = z. Solve p = l - 3*u, 2*u = -4*l - 2*u + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from tzkgzitzitztktzztzzt.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:43 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + -1*(sqrt(704) + 4) - (sqrt(704) + -4)*-1) + (sqrt(704)*2 + sqrt(704))*-3 + sqrt(704) + 0 + sqrt(704) + sqrt(704) + 1)**2.\nAnswer: 560*sqrt(11) + 17649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3*j + 1. Let b(d) = 90*d**2 + 3*d + 2. What is -b(y) + k(y)?\nAnswer: -89*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.188.\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1604*b. Let i(q) = -803*q. Determine -9*i(y) + 5*k(y).\nAnswer: -793*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.741 times -5?\nAnswer: 1023.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 72 - 4. Differentiate v*t + 13*t - 3*t - 21 with respect to t.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, 959, -5 in descending order.\nAnswer: 959, 195, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 8*x**2 + 3*x - 1. Let o be (12 + -3 + 5)\/(-2). What is the units digit of f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -2\/5, 0.3, 1\/12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 - 2*m + 5. Let r be x(-3). Let a = r - -133. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 25*p - 1. List the prime factors of n(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 12076.97ml?\nAnswer: 12.07697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 3*m**2 - 3*m + 1. Let w(q) = q**3 + 11*q**2 + 10*q - 4. Let y be w(-10). Let x be t(y). Which is the nearest to 0? (a) -1 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5, -3, 10, -6, 793 in ascending order.\nAnswer: -6, -4, -3, 0, 5, 10, 793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 83, 6, -4, -188, -2 in ascending order.\nAnswer: -188, -4, -3, -2, 4, 6, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3\/3 - 64*b**2\/3 + 80*b = 0 for b.\nAnswer: 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(66)\/(-1*sqrt(6))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 17*p + 17. Suppose 0 = 2*m - 40 + 92. Let n(h) = -h**2 - 4*h + 4. What is m*n(f) + 6*k(f)?\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028303523 to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.521 + -19.700606\nAnswer: -18.179606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, d: 1, f: 4, y: 5, v: 3, t: 1}. Give prob of sequence tf.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + 2 + sqrt(13)*1 + sqrt(13).\nAnswer: 1 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 31\/5 + 95\/25 + -3. Suppose -s*l + 8*l = 3. Suppose 3 = c + 4*j + 15, -j - 16 = -l*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*c - 174 = 0, 3*c - 10 = -25. Is -39 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3182, 2\/13, -1, 1 in descending order.\nAnswer: 3182, 1, 2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 626580 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c - 2*c. Suppose 19 = 3*d + 4*n, -d + c*n + 0*n + 17 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y - 2*y)*(2*y - 2*y - y) + (3 - 3 - 2*y)*(2*y - 2 + 2).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2134201 (base 5) to base 11.\nAnswer: -25716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 9*u**2 - 2*u - 8. Let p be l(-11). Suppose -4*s - 3*o + p = -4, -5*o = 3*s - 206. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.5, -12, 2\/2271, 0.3.\nAnswer: -12, -3, -0.5, 2\/2271, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -465 + 447 - (2 - 50)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2605663 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(2736) + -1 - (sqrt(19) + (sqrt(190)*-1 + sqrt(190))\/sqrt(10)))*6 + (-1 + sqrt(114)\/sqrt(6) - 2*(sqrt(19) + -2)))*-1)**2.\nAnswer: -780*sqrt(19) + 160568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(6)\/sqrt(8) + sqrt(3))) + -4.\nAnswer: -4 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45276 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6*u\/(u**(-2)\/u)*u)**(1\/10)\/((u**3*u**2)\/(u**(-2\/7)\/u*u)**(46\/7)) assuming u is positive.\nAnswer: u**(-2831\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = i - 27. Put i, 0, 1, -5 in descending order.\nAnswer: i, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 - 845*z + 5111. What is n(6)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1239*l**2 - 957*l**2 - 1447*l**2.\nAnswer: -3643*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -88*r**3\/3 - 2039. Let a(z) = 22*z**2. Determine -9*a(d) - 2*c(d).\nAnswer: -22*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (9 + 6 + -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*k**2 - 3093*j**3 + 3*j**2*k + 95*j*k**2 - k**2 - 2 wrt j?\nAnswer: 12*k**2 - 18558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20920 = 63*f + 23188 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 543780 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -346 less than -346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(392) + sqrt(8))\/(sqrt(4) + sqrt(4) + -5*2*sqrt(4))*4.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -77, -129, -191, -263, -345, -437?\n\"Answer: -5*q**2 - 27*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53127.8634 rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, g: 4, x: 2, w: 1, q: 2}. What is prob of picking 1 w and 2 x?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110010010111 (base 2) to base 5.\nAnswer: -1342144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/59717 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.416693 hours to microseconds.\nAnswer: 1500094800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 0 + 0*j**2 + 0*j**3 + 1\/4*j**4 - 9*j. Let n(u) = -8*u**2. What is g(n(p))?\nAnswer: 192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.019 + -0.389. Let k = j - 4.63. Which is the closest to 0.2? (a) k (b) -1\/2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2107, 11, 12?\nAnswer: 0.2107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 978, 2922, 4352, 3786, -258, -9262, -24708?\nAnswer: -48078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Suppose 4*y - 3*h = h + 20, -2*y + h = -15. Let a be (-1)\/(15\/y*(-2)\/(-6)). Is f smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 4*v**3\/3 - 4*v**2 - 16*v\/3.\nAnswer: v*(v - 2)*(v + 2)*(3*v + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1541264861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*w - 20, 267*l - 277*l - 4*w = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25892*q - 858568 wrt q.\nAnswer: 25892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 4. Let y be 296\/36 + (-2)\/9. Let q be x(y). Suppose q = -3*j + 5*j. Let t(g) = -g**2 + 5*g + 3. What is t(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*y + 20, 26 = 4*y + 10. Let q be (-14)\/18*j\/(-7). What is the second smallest value in 4, -1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**3 - 6 + 3 + 1 + 5 - 2*q**2. Suppose 0 = 17*g + 63 - 114. Let o(m) = 6*m**3 + 4*m**2 - 7. Let t be (5 - 7) + 3*3. Give g*o(k) + t*z(k).\nAnswer: -3*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14084 and 16366?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (1 - (-27)\/6) + 1\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 6 - 28*z - 36 + 26*z + 98.\nAnswer: -2*z + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + 0.98. Let g = -1 + d. Let p = -0.8 + 1. What is the nearest to g in 0.3, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-234)\/108) - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2 + 2*g - 1. Let q(k) = k**2 - k - 1. Let c(d) = d**2 + 6*d + 2. Let m be c(-6). Let x be q(m). Let z be (-2)\/x*3\/(-6). What is i(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:33 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176060.\nAnswer: 2, 3, 5, 17, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t = 50*t. Solve 8*o - 12*o = -2*w - 6, -4*w - 5*o + 1 = t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345750293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27\/5? (a) -2\/3 (b) -2 (c) -4\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b80b45 (base 12) to base 8\nAnswer: -13051145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1789763*t + 2 - 2 - 1806837*t to the form j + u*t and give u.\nAnswer: -17074","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*y + 0 - 3*y)*(-3 + 3 + 2) + (-y - 5*y + 4*y)*(3 + 6 - 5) + 0*y + 0*y - y.\nAnswer: -15*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r + 0 + 84 = -6 - 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**8\/2520 - t**7\/1260 + t**3\/2 + 3*t**2. Let i(b) be the first derivative of u(b). Solve i(j) = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 1, k: 1}. Give prob of sequence nknk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 296\/3 + (-4)\/6. Suppose -2*h + 2*d - 64 = -7*h, 3*h - d - 45 = 0. What is the highest common divisor of c and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(26\/280 + 1\/(-5))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = 5*h - 0*h, h = 3*w - 0*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-21) + 3\/(9\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -175, 0 in decreasing order.\nAnswer: 2, 0.1, 0, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - (4 + -13) - -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 557698.5 to the nearest 100.\nAnswer: 557700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 14862471.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*n**3 - n - 3 - 9 + 11 in the form t*n + d*n**2 + o*n**3 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/(-22) + (-5)\/(-4). Which is the closest to -1? (a) 0.5 (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1871, -1830, -1799, -1784, -1791, -1826?\nAnswer: -1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 4:28 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 7:57 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 3*c**2 + 3*c + 5. Let g = 59 - 51. Suppose -4*w + g = -0*w. Let f be 7\/((-126)\/(-76)) - w\/9. Give s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84.954 + 10.346. What is v rounded to 0 decimal places?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.062 (b) -22 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 50. Let i(n) = n**3 + 15*n**2 + 15*n + 19. Calculate the remainder when 11 is divided by i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (122\/(-1464))\/((-2)\/(-78)) - (-2 + -1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5967\/(-34))\/39)\/9*92?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 - 2082969691.\nAnswer: -2082969690.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 110531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122768 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 117512 and 18115110?\nAnswer: 2681036280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -41 (b) -2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 429 and 3003?\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -238 + 583. Suppose 5*n = 5*v + 3275, 4*v + h + 975 = 2*n. What is the highest common divisor of 50 and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.52, -0.4, 0?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 183276899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*p + 18 = 0, 9*p - 4*p + 34 = -3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -p + 4*d, 1 = -d - 2. Let z be (-6)\/4 + p\/6. What is the units digit of z - 7*(1 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 980716.\nAnswer: 2, 11, 31, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 61635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-2)\/(6\/(-15))) + 306 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/2869?\nAnswer: 2\/2869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1100 = -27*g - 67*g - 404 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -418738 times 13?\nAnswer: -5443594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -2660.\nAnswer: -53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -34. Let j(g) = 2*g**3 + 13*g**2 + 6*g - 6. Does 9 divide j(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2931 + 2934. Which is the nearest to y? (a) -0.02 (b) 1 (c) 0.3 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2236, -4491, -6758, -9037, -11328, -13631?\nAnswer: -15946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 527628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178125054.\nAnswer: 2, 31, 191, 99487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 61449307 divided by 4?\nAnswer: 61449307\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 22590115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 14280.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - f**2 + f - 4. Let b be q(-3). Suppose -3*a = -5*h - 0*h - b, 2*a + 3*h - 19 = 0. What is the remainder when 31 - (0\/1 - 1) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(6\/12). List the prime factors of (-1)\/((t\/185)\/(8\/20)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*m + 5. Let p = 5.1 + -5. Let q = -34505 + 34504.7. Which is the closest to 0? (a) q (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 747275 divided by -149455\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9132719\/177 + 51597. Calculate the common denominator of -139\/140 and p.\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 11*s. Give f(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and -1.24.\nAnswer: -12.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/221 + -878\/663. Let b(s) = -s**2 + 7*s - 1. Let z be b(7). Let p be 2\/((-1)\/(z + 2)). Which is greater: o or p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021 (base 3) to base 10\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 5*i - 5. Let w be p(-6). Calculate the common denominator of -11\/16 and (-46)\/836 + (-39)\/33 + w.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 46*i - 10. Let z be x(47). Find the first derivative of -150 - 151 + z*o**2 + o + 346 - 144 wrt o.\nAnswer: 74*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/12751 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -38. Suppose -q + 4 = -x*q. Solve -4*n - 5*n**2 + 3*n**3 + 2*n**q + 0*n**4 + n**3 + 3*n**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 60561728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 73*d**5\/60 + d**4\/6 + d**3\/3 - 7*d**2. Let k be l(-2). Calculate the highest common factor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 28. Let v be p(-14). Let t be (-4 + -2)\/(-3) - v. Suppose -i - 120 = -3*a, -3*a + t = 4*i - 91. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.4229 - 111556.5771. Let n = 111574.000008 + o. Let h = n + 4. Round h to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2337, -1, 95 in descending order.\nAnswer: 2337, 95, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*z - 47, -k - z + 49 = k. Solve -4*p - 24 = 4*c, 5*p + k = -5*c + 2*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4159690 to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**2 + 12*n - 12*n + (-n**2 - 3*n**2 + 0*n**2)*(4 - 2 + 2).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpl when three letters picked without replacement from {l: 4, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - m + 5. Let z(f) = -f**2 - 8*f - 7. Let h be z(-7). Calculate t(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4811488 is divided by 21103.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*q + 196 + 115 + 52 - 63 = 0. Factor 9\/4 + 3\/4*g**2 + 15\/4*g - 3\/4*g**q.\nAnswer: -3*(g - 3)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-4)*1\/(-4*1\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(5)*-6 + 4 + 1.\nAnswer: -6*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12066 and -1141?\nAnswer: 137.67306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*f - 8*f + 3, 5*y - f - 18 = 0. What is the closest to 12 in 4, -5, y, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 - 60. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d - 2 = 19*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76325533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2608, -5394, -8370, -11542, -14916, -18498, -22294?\nAnswer: -26310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1927 (b) -6 (c) 1\/120 (d) -0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1548\/6*((-2867)\/282)\/61.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23642 and 23642 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - d = 4*d + 5, -4*d = 2*t + 4. Suppose t = -11*f + 22*f + 11. Which is the third biggest value? (a) 2 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 7*i**2 - 9*i + 8. Determine d(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 557*s - 562*s = 5*r - 120, -3*r = -2*s - 87 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.2, -10, 0.121, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -3\/7, -2\/13, 0, 2\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27\/16? (a) -2\/11 (b) -0.4 (c) -2\/7 (d) -4 (e) 1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 139165120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3 - 5 + 4*q - 2 + 2. Let v be g(3). Suppose 4*t + t = v. Solve u = t*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17812? (a) 0.4 (b) -0.7 (c) -2 (d) 0.2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3)*1 - sqrt(27)\/sqrt(144)) + sqrt(21)\/(sqrt(847)*-1).\nAnswer: 73*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24*16\/48 - (0 + 2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.043 (b) -0.2 (c) 1\/4 (d) 4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1301 = 1525. Calculate the least common multiple of 6 and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -213*s**2 + 37*s**4 - 4*s + 6*s - 81*s**4 + 47*s**4 to the form u*s**4 + o*s**2 + p + b*s**3 + h*s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2023*t**2 + 1014*t**2 + 1012*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c - 4*p + 125 = 0, 3*c = -3*p + 126. Let x = -44 + c. Is 31 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155357412941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2 - 1 + 10 - 2*g + 0. Give b(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 - -973. Suppose -f - 7*f = -z. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.483 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - (-5)\/(-10). Let h = 87 - n. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*g + 36*g + 20042. List the prime factors of g.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 4.6. Let x = 3.62 + 0.38. Sort -0.5, x, a in increasing order.\nAnswer: -0.5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3 - 6. Let q be (1\/i)\/((-1)\/3). Is (-64 + -1)*(q + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let u(d) = 584*d**2. Calculate u(h(s)).\nAnswer: 584*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517523 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a century in months?\nAnswer: 17760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.978684ng to micrograms.\nAnswer: 0.001978684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**2 - 22495*m - 45010 = 0.\nAnswer: -2, 4501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2792740 and -68\/9076405?\nAnswer: 36305620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1034, 1032, 1054, 1118, 1242, 1444, 1742, 2154?\n\"Answer: 3*a**3 - 6*a**2 - 5*a + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 0. Let b be 118\/(3*(-2)\/(-3)). What is the third derivative of -11*s**2 - 35*s**w - 40*s**4 + b*s**4 wrt s?\nAnswer: -384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 6*f**2 - 15029 + 15029 + 10*f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + a)*(-4 - 2*a + 4)*(-5*a**2 + 2*a**2 + 2*a**2).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, 1 l, and 1 c when four letters picked without replacement from {u: 1, v: 4, y: 2, c: 1, l: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.2776 - -0.2776. Let a = -39.29 + -0.71. Let n = x - a. Sort -4, 3\/4, n in decreasing order.\nAnswer: n, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15857.\nAnswer: 101, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3543a5 - 37?\nAnswer: 354369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**3 - 2*p**2 - 15*p - 18. Let b(c) = c**3 - c**2 - 5*c - 6. Let u(g) = -17*b(g) + 6*x(g). What is u(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 - -199. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1023 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2205) + 0 + sqrt(2205) - sqrt(2205)) + -5 - sqrt(405)\/(sqrt(81)\/(sqrt(9)*3)))**2*1.\nAnswer: -120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11126848801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 6*m + 8. Let y be c(-7). Let d(a) = -1. Let f = -22 + 17. Let z(s) = s - 3. Let o(g) = f*d(g) + y*z(g). Differentiate o(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 177 - 2*z + 94.\nAnswer: -2*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g + g**2 + 0*g**3 + 0 + 1\/12*g**4. Let n(c) = -4*c + c + 0*c. What is n(x(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004174684 to 7 decimal places.\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 31, 31, 39, 61, 103, 171, 271?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111011100 + 0?\nAnswer: 101111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31936317 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 greater than or equal to -116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -285 - -1314745346.\nAnswer: 1314745061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1136, -2, -387, -12 in decreasing order.\nAnswer: 0, -2, -12, -387, -1136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2226*a**2. Let j(q) = -913*q + 460*q + 460*q. Give j(v(c)).\nAnswer: 15582*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20469 and 90.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msy when three letters picked without replacement from {m: 2, s: 1, y: 2, u: 4, x: 2, p: 3}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85700 + 3*y - 8*y - 3*y - 85695.\nAnswer: -8*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1165, 1164, 1163, 1162, 1161, 1160?\n\"Answer: -f + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**3 - 4 + 4)*((2 - 4 + 1)*(2 - 2 - p) - p - 4*p + 7*p).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:06 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {y: 5, z: 1, l: 1, u: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.094 to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*a + 225. Let h = 332 + a. Suppose 2*y - h = -9. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9116*w**2 + 3. Let x(r) = 104*r. What is s(x(a))?\nAnswer: -98598656*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 8*m**2 - 2. Let z(p) = -153*p**2 + 42*p + 51. Let o(k) = 15*k**2 - 4*k - 5. Let i(b) = -21*o(b) - 2*z(b). Determine -2*i(y) - 3*l(y).\nAnswer: -3*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 1746 = -804. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 2\/7, -0.03, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*z + 95*z + 2046. What is the remainder when 436 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 2*i, 5*s - 42*i = -37*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4 - (2\/(-14) + (-33306)\/98)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15645593 and 15645597 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 314 - 356. Let c(r) = r**3 + 8*r**2 + 5*r - 2. What is the units digit of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from nxtatxan?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*k**4 + 8997*k**3\/4 + 10809*k**2\/4 - 7761*k\/2 - 1104 = 0. What is k?\nAnswer: -736\/11, -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 0*o - 3*o)*(0 + 0 - 2)*(1 + 0 - 3) - 3 - 12*o + 3.\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 19 - 1. Suppose v - g = 44. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*r*s**3 + 2*r*s**2 + 24*r*s + 23557*r wrt s.\nAnswer: 21*r*s**2 + 4*r*s + 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578.3007 micrometers to centimeters.\nAnswer: 0.05783007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) -413\/5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3238569 is divided by 107952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) 1\/73 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/126*(-9)\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25275 is divided by 6313?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -287, -275, -237, -161, -35, 153, 415?\n\"Answer: 2*z**3 + z**2 - 5*z - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*i - 95*i = -42. Suppose -l - 5 = 3*s - 2*l, -3*s = 2*l - 10. Put 8, -3, i, s in decreasing order.\nAnswer: 8, s, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 0\/(-1) - 1. Let q(g) = -2*g - 4. Let r(i) = i**3 - 7*i**2 - i + 3. Let u be r(7). Let s be q(u). What is the greatest common divisor of s and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m + 24. Suppose x = m*x. Suppose 3*o + x*o = 21. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455563.\nAnswer: 19, 23977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/(-10 + 15). Let j be ((-3)\/35)\/(6\/(-30)). Which is the nearest to -4? (a) j (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*k - 5901*k - 8203*k - 869*k.\nAnswer: -15579*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 326. Let v be l(0). Let r be 128\/20*(-4 + v\/(-4)). Suppose -7*f + 64 = -r. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(152)\/sqrt(4) - (sqrt(3800) + (sqrt(3800) - (sqrt(3800) + -2*sqrt(3800)))))*-5)\/(sqrt(32)*2 - sqrt(2) - (sqrt(50) - sqrt(2))*-6).\nAnswer: 140*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 2*y**2 - 2*y - 3. Let v be w(-1). Solve f + 0*f - 4 = v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597026 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-7 + (-10 - -22)) - 2 - -18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 56*u + 484. Calculate o(-12).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*((sqrt(20)\/sqrt(10))**2 - sqrt(2)) + sqrt(2))*6.\nAnswer: -30*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -54. Let o be (5 - p\/1) + (-13 - -10). Factor -a**2 - 2*a**2 - 3*a**5 + 10*a**o - a**2 + 9*a**3.\nAnswer: -3*a**2*(a - 2)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 times -0.2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from rvb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1188 and 3686188?\nAnswer: 99527076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 2:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4083\/11762 or 1?\nAnswer: -4083\/11762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1219 + 9*p**3 - p**3 + 1218 in the form z*p**3 + t + j*p**2 + y*p and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -3\/5, 93, -0.09, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-22)\/77)\/((-1)\/7). Suppose 0 = 5*f - w - 13. Suppose -2*h - 52 = -6*h. Solve v + h = 5*u, 0*u = f*u + v - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 15 = x, b = -x + 7. Suppose -2*w + x*q = -15, -q = 5*w - 2*w + 5. Solve 0 = -2*a - w*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -464 + 1441. What are the prime factors of f?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3110?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g + 3*g)*(3*g**3 + 7*g**3 - 5*g**3) + (3*g**4 - 2*g**4 - 2*g**4)*(0 + 3 - 4).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3971601 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*10045.9\nAnswer: -3013.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.47*-0.96.\nAnswer: 9.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 0.4 (c) 14\/3 (d) -1\/3 (e) -4489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**2 + 125*z**2 - 22*z**2.\nAnswer: 138*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (85*1\/25 - 3)\/((-2)\/(-10)). Let b = -1 - -11. Solve 11 = 3*x + f, 4*x + f - i*f = b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -418 + 629. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v*v)**(13\/7)*(v*v\/v**(3\/5))\/(v*((v\/v**(-8))\/v)\/v*v)*(((v*v*v\/(v\/(v\/v**4)))\/v)**(-15\/7))**33 assuming v is positive.\nAnswer: v**(4944\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a29 - -b?\nAnswer: 2a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + (7 - -8) - (1 + -13)) + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 7*s\/3 - 10\/3.\nAnswer: -(s + 2)*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 72*b - 310*b + 162*b + 77*b. Let l(u) = -10*u - 136. Let w(y) = 2*y + 27. Let h(t) = -4*l(t) - 22*w(t). Calculate n(h(q)).\nAnswer: -4*q - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0 + 0)*(4*k - 2*k - k + (0 + 0 - 2*k)*(-20 - 25 + 43) + (2*k + 1 - 1)*(4 - 4 + 2)) + (-3 + 6 - 1)*(-3*k**2 + 2*k**2 + 7*k**2).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125.367 - -131.59. Let x = 0.077 + i. What is x rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**1)**35)**17*(y*y**(-5))\/(y\/y**4)*(y**(-1\/2)*y)**46 assuming y is positive.\nAnswer: y**1807","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/9)\/(u*((u\/u**11)\/u*u)\/u))\/(u**1\/u)**(2\/29) assuming u is positive.\nAnswer: u**(86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 - 100110?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363 - 362. Which is the second biggest value? (a) 4 (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6080820*b*v**3 + 5*b*w + v**3 - 6*v**2*w - 9*v*w + 5*v + 42419*w wrt v.\nAnswer: -36484920*b*v + 6*v - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9256, 8065, 6874, 5683, 4492?\n\"Answer: -1191*w + 10447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - 3*o)*(-13*o**2 + 571*o**4 - 582*o**4 + 8*o**2).\nAnswer: 33*o**5 + 15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -59\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5)**(-16\/3)\/((y\/y**(1\/3))\/y**(-4)))**(1\/8) assuming y is positive.\nAnswer: y**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 13 - 3) + 25 - (0 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1861 - -1865. Solve 10 = s + l*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*q + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(132) + sqrt(132))*6)\/((sqrt(72)*-2 + sqrt(72))\/sqrt(6)) - (sqrt(22)\/sqrt(2)*3*-6 + ((sqrt(88)*1)\/sqrt(4))\/sqrt(2)).\nAnswer: 1 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-8))\/((-2)\/56). Suppose 47*b - 43*b = -5*j + 1732, -3*j - b + 1035 = 0. Let r = 386 - j. What is the greatest common divisor of r and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 493*r + 2955. Let h be q(-6). Let g(u) = -3*u**2 + 7. Let l(o) = -6*o**2 + 13. Determine h*l(a) + 5*g(a).\nAnswer: 3*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 29400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, w: 1, h: 5}. What is prob of picking 1 h and 3 a?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8*q**3 - 19*q**2 - 86*q - 1915. What is the units digit of r(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (331 - 139 - 6224*k - 1525*k - 192)*(2*k**3 + k**3 - 2*k**3) as f*k**2 + b*k + x + s*k**4 + v*k**3 and give s.\nAnswer: -7749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*b + 1755498 = -46*b. What are the prime factors of b?\nAnswer: 2, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34.48962 months?\nAnswer: 0.2874135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by -2.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 198b0e - 4?\nAnswer: 198b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 14. Let w = 23 - 8. What is the remainder when w is divided by 20*z\/((-100)\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 7*i**2 - i + 7. Let b be r(-7). Suppose -b*v = 16*v. Solve v = -5*x + 2 + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u*u**(2\/3)\/u*u))\/u)\/u*u)\/u)**(4\/7)*u**11*u**(-6)*u assuming u is positive.\nAnswer: u**(94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c + 1. Let w(b) = -b + 0*b**3 - 2*b**3 - 3 - 3*b**2 - b. Let d be w(-2). Suppose -d*n = -8 - 2. What is x(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.151805*-1071.8.\nAnswer: 162.704599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 39*w - 5. What is the tens digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2063b (base 12) to base 10\nAnswer: -42383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14))\/(5\/280*-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -56*n**3 + n**2 - n - 1. Let f be c(-1). Suppose 3*x + f - 165 = 0. Let b = 69 - x. Calculate the highest common factor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -2 - (0 + -2 + 12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Is 17 a factor of 2 - 1 - -16*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 less than -54?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 64 = -16. Solve o*c = -2*c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508374770 a multiple of 1200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.66 and -15388.\nAnswer: 56320.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**5*s**3 + 70*b**3*s**3 - 1884*b*s**3 wrt b?\nAnswer: 20*b**3*s**3 + 420*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - v + 12, 51116*w - 51115*w - 36 + 6 = -3*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/26, 2\/47, 413 in decreasing order.\nAnswer: 413, 2\/47, -7\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3824 + -1928. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1924 divide 48289259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 5, y: 1, l: 1, z: 3, a: 2}. What is prob of sequence by?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 11)\/((-675)\/(-2100)*(-4)\/(-3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1018 - 1016. Solve -5*s + 4 = 2*t + 6, n*s = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 98450736*u**2. Let b(v) = -4*v. What is b(p(x))?\nAnswer: -393802944*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/108 and -31\/52668.\nAnswer: 158004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -738857 - -402?\nAnswer: -738455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*y + 5 + 0)*(3 - 1 - 5).\nAnswer: -6*y - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.02 + 0.02. Let i = 10.6 + a. Let n = -1.553 + i. What is n rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4 = -2. Suppose 0*f - 3*f + 5*c = 5, -2*f - d*c = -18. Solve -3*r + f = -2*b, 4*b - 3*b + 10 = 3*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*h + 46*m - 42*m, 18 = 3*h + 4*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 952248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 78*u**2 + 11*u - 2. Let g be w(1). Suppose 2*a + t - 57 = 0, 5*t = 2*a - 4*a + 53. What is the greatest common divisor of a and g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from hqqhxxqqqhh.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3*(-2)\/(-2) - 56\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 61*i - 325 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2514*u**2 + u - 2. What is the units digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -652 - -652.8674. Let c = l + 146.3026. Let d = -148 + c. Round d to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 69 = l, 4*l - 276 = -2*n - 3*n. Let i = l - 25. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 236\/118 - (12\/(-90))\/(4\/(-6))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 9:33 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 56511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91716.98 nanograms in micrograms?\nAnswer: 91.71698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 122, 137, 168, 221?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -1)*(3 - 1). Suppose 2*q - 34 = -m*r, r - 3 - 19 = -2*q. Suppose a - r = -a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k + 156. Let t be z(20). Sort t, 12, 11 in descending order.\nAnswer: 12, 11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -46. Suppose -3*v - v = -b. Calculate the greatest common divisor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19 and -19\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 3*n + 41. Let s be a(-5). Solve 0 = 5*q + 5*l + s + 4, -5*l = -q + 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22268 - 10367702*u - 22268.\nAnswer: -10367702*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - 1)\/(-1))\/(-2). Suppose 4 = -j*t - 2*t. Is t >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 4 - 4)*(4*l - 4*l + 17*l**2)*(-2 + 2 + 3*l) as x*l**4 + h*l + n*l**2 + g + u*l**3 and give x.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 7*a + 2. Let q = -12 + 7. Let s be i(q). Suppose 5*y - 82 = -2*u - u, -s = -3*u - 2*y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27\/4 of a day?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzppzrrzffzzrwrefpf. What is prob of picking 1 f and 1 r?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:26 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 divided by 391?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*g + 388*g = -1 - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6949\/714 + 12\/119. Calculate the common denominator of -69\/11398 and m.\nAnswer: 34194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 25829570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-169*i - 109*i - 37*i)*(-3*i**2 - 6*i**2 + i**2).\nAnswer: 2520*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47523 is divided by 5940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 1, g: 1, f: 1, x: 1}. What is prob of sequence fig?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-672)\/(-1326) + (9\/4 - (-1000)\/(-416))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 14.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -40*s - 3. Let x(r) = -5*r - 1. Calculate -5*x(b) + z(b).\nAnswer: -15*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 15*b - 41. Let r be y(4). Find a, given that 0 + 0*a**2 + 2\/3*a**r + 0*a = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/7 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 290639.\nAnswer: 290638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*u - 32 = -3*n, 11 = -n + 5*u. Suppose -9 = -f + n. Suppose -3*j - 3*a + 15 = 0, 0*j + j = a + f. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*h - 80*h**2 - 165*h + 697*h - 202*h - 165*h + 82*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7\/3 (b) -7\/2 (c) -1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57\/11 + -5. Let j = -0.2 - 0.8. Let l = 3.9 + -4. What is the nearest to l in j, 0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**1\/j))**(1\/12)\/(((j*j**0)\/j)\/j*j*j**6*j)*(j**(1\/3))**(-9)*(j*j\/j**(2\/7))**(-7\/4) assuming j is positive.\nAnswer: j**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z + 12. Let t be l(0). Let r be (t\/15)\/(8\/20). Suppose 3*d = r*k + 109, 3*d + 5*k - 39 = 77. What is the remainder when d is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182 - 129 + 4*t**2 - 113 wrt t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1352b (base 13) to base 12\nAnswer: 18a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05362239 plus -173?\nAnswer: -173.05362239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + z)*(10 + 3 - 2) - 64*z + 2949 - 2949 - 83*z.\nAnswer: -136*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdtj when four letters picked without replacement from {t: 3, f: 1, m: 2, j: 4, d: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3164 + 110792\/35. Calculate the common denominator of o and -37\/50.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58 and 14?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28.3+0.0757\nAnswer: -28.2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 456\/(-399)*14\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 86*p - 84*p. Is p > -2\/7219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by (-4)\/6 + (10 - (-20)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1897)\/(-42) + 3\/(-18) + 0 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/27)\/((-5)\/(5\/2)). Sort 39, y, 1\/5.\nAnswer: y, 1\/5, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 - -87?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 48\/5 of a millennium?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:14 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6016 divided by -47\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkjqjkjqmkc. Give prob of picking 2 k and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w\/(w*w*w\/(w*w**12)*w*w)))*w*(w**(1\/26)*w)\/w*(w*w**(-13))\/(w\/(w**7\/w)) assuming w is positive.\nAnswer: w**(79\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l**5\/2 - 199*l**4 - 6983*l**3\/2 - 5653*l**2 - 2836*l - 448 = 0. What is l?\nAnswer: -7, -1, -2\/5, -4\/11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -37, -0.06, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*y - 1303 = 490 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 5*m**3\/3 + 3*m**2\/2 + 3*m - 1. Let g = 12 - 7. Let l(t) = g*t - 6*t - 11*t**2 - 2 - 5 - 6*t. Calculate 3*l(n) + 7*z(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -43049.\nAnswer: -11\/43049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6 + (-5 - -13) - 23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-20\/7))**(2\/5)*(k**(-1\/2))**36\/((k\/((k**(-2\/11)*k)\/k))\/(k*k**(3\/8))) assuming k is positive.\nAnswer: k**(-1567\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f - 36*f = 4*a - 10, 15 = 5*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, o: 2, j: 2}. What is prob of sequence oojj?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l - 4*c + 1, -2*c = -5*l - 2. Suppose 5*w - 4*z = 55, l*w + w = 2*z + 17. Let o(m) = m**3 - 7*m**2 + 2. What is o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**7\/420 + x**4\/6 + x**3\/2 + 3*x**2. Let s(a) be the first derivative of z(a). Differentiate s(v) with respect to v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-48)\/(-2415) + (-2)\/14.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 40*b - 25. Let y(m) = -5*m + 3. Give 3*o(a) + 25*y(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-3 + 4 - 3))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3\/19 (c) -1 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1*(sqrt(544)*-2 - sqrt(544)) - sqrt(544))\/(6*sqrt(72)*2))*1.\nAnswer: sqrt(17)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 330422, 2, -1\/2, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -270*n - 17. Let g(w) = 808*w + 48. Calculate -6*g(u) - 17*p(u).\nAnswer: -258*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2, -3, 4.\nAnswer: -28, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -23. What is the third smallest value in 1, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4323 divided by -3.\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6628 and 24.\nAnswer: 39768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 14) to base 15.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*v**2 + 25*v**2 - 16*v**4)*(-2*v - 2*v + 3*v)*(1 - 1 - 2) + (-3*v - v + 2*v)*(6*v**4 + 0*v**4 - 4*v**4).\nAnswer: -36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1190\/(-20))\/(4\/176*-22)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364737 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/14825 + 14817\/59300. Factor 3*h**2 - 2*h - 3\/2*h**3 + 0 + q*h**4.\nAnswer: h*(h - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35074755?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/245, 43, 2 in ascending order.\nAnswer: -2, 2\/245, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3354, 16640, 38792, 69810, 109694, 158444?\nAnswer: 216060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5))\/(((-6)\/(-7))\/(36\/(-63)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*(11 - 8). Solve 3*p + 7 = 4*t, 3*p - 4*t = -p - s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niiinnnninj. What is prob of sequence iij?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3665*o**2 + 9720*o**2 + 11141*o**2.\nAnswer: 24526*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2250076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 15, 26, 37, 48?\n\"Answer: 11*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 + 34*i + 4. Let d be w(5). Let q be (11\/5 + d)\/((-14)\/(-35)). Factor -2\/7*g + 0 + 5\/7*g**2 - 4\/7*g**q + 1\/7*g**4.\nAnswer: g*(g - 2)*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -6.05. Let f = 0.05 + b. Is f >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 234 or 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.41, 3\/7, -3\/5 in descending order.\nAnswer: 3\/7, -0.41, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.1 - 1.1. Let w = -10 + t. Which is the smallest value? (a) w (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2, 187*i + 1311 = -0*v - 2*v + v for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3.7, -2\/11, -7\/3, 1\/4, 0.1351?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.87 - -0.23. Let s = 1.3 - d. Which is smaller: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 4) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*i = -12, 10*v - 36 = 6*v + 5*i. Calculate the remainder when (-10)\/35 - (v - 2883\/21) is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42.2 + -42. Which is smaller: q or 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438800161 to the nearest integer?\nAnswer: 20948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0549 (b) 5 (c) 4.982 (d) 4\/5 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 466466 a multiple of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n + 8 = 0. Let w be 133\/28 - n\/(-8). Let t = -5 + w. Solve 4*f = -4*g, -5*g - 4 = -t*g + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-6)\/(-8)*1. Let u be (4\/3)\/(2\/6). Solve -2*z + u = -2*x, z = p - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -1.2, 4, 4\/13, 3, -2 in increasing order.\nAnswer: -2, -1.2, 4\/13, 3, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 223*b**2 - 865*b + 2424. Give d(-219).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 626 or 111321\/178?\nAnswer: 626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72405 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1730277 - -52.\nAnswer: -1730225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 4, -2, 0 in decreasing order.\nAnswer: 4, 0, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**5\/6 + 25*i**4\/6 - 34*i**3\/3 + 22*i**2\/3 = 0?\nAnswer: 0, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = 19*b - 7*b. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 - 19*q + 15. Let i be s(17). Is (4\/9*i)\/(8\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18569246411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 723204 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (8 + -3)) + (37 - 31).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000637215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 4:06 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 10:26 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 11010111110?\nAnswer: 11010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) 0 (b) -32 (c) 275 (d) -3.64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, -37\/17, 2, 5, -2 in ascending order.\nAnswer: -37\/17, -2, -3\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1028 and 101\/12?\nAnswer: 3084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 3*x + 4 - 1\/3*x**3 - 2*x**2. Let r be f(-4). Let g(q) = q**3 - 4*q**2 + 3*q + 3. Give g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*3\/(-6) + 20. Suppose -4*k + x = k - 3*n, 0 = 5*k - 4*n - 23. Let q = k + 1. Solve -5*s = -11 - q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -506.9095 - 0.0905. Let t = r + 510. What is the smallest value in 1\/4, -2, -3\/7, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 3*m**5 + 4*m + (-106*m - 2*m**2 - 77*m + 51*m)*(-3*m**3 + 6*m**3 - 4*m**3).\nAnswer: 5*m**5 + 132*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stst when four letters picked without replacement from dsptst?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 5:15 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -766*s - 149 + 149.\nAnswer: -766*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23699?\nAnswer: 13, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254 = 4*n - 10*f, 4*n - 4*f + 270 - 22 = 0 for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*i + 40796, 26*d = 23*d - 2*i + 61260. Is 32 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0712? (a) -4 (b) 19\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggki when four letters picked without replacement from kkgkigk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = i + 11, -206*n = -205*n + 2*i + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 2*o**3 + o**2 + 12*o**3 + 2 - o**2 - 2*o. Let p be h(1). Let n = p + -7. What is the smallest common multiple of n and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1426783 is divided by 802.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*k + k**2 - 129*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-364 + 127 + 11 + (1 + 0 - 3)*(-2 - 3 + 1))*(0*n + 2*n - 4*n).\nAnswer: 436*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 74 = 38*y + 177 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 151*j**2 - 7607*j - 6321. Give f(191).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 852843073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 - 4 = 128*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*q = 29*q + 48. Suppose 18*u - q*u = 31200. Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - z + 2)*(5*z + 11*z - 9*z) - 34*z**2 + 100*z**2 - 7*z + 7*z.\nAnswer: 59*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(21)*1 - (sqrt(84)*2 - sqrt(21)))\/(sqrt(700)*-1*-6))**2*-6.\nAnswer: -81\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 298772418 divided by -89106\nAnswer: -3353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4\/8 - 345*a**3\/8 - 3759*a**2\/4 - 6516*a - 9612 = 0. What is a?\nAnswer: -89, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1429123 and 0.036.\nAnswer: -51448.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 254271\/31 at least 8201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 5 + 398 + -5. Suppose -5*q = -370 - m. Suppose q = -29*d + 30*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2949 - 1882371\nAnswer: -1879422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 - 6*u + 124)*(4*u**2 - 3*u**2 + 3*u**2).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 218\/43 or 6?\nAnswer: 218\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 15079969.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 0.1146, 5707 in increasing order.\nAnswer: -0.4, 0, 0.1146, 5707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/240 + n**5\/24 + 25*n**4\/48 - 125*n**3\/12 + 109*n**2 + 2. Determine s, given that b(s) = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 30567.15555 and 9.\nAnswer: 30576.15555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-128 - -132)*12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (75*u - 394*u - 121*u)*(-5 + 0 + 4) in the form s + l*u and give l.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-90)\/4800*3770\/39?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l - 14. Let h(n) = 8*n - 15. Let q(r) = 4*h(r) - 5*t(r). Let x be q(5). Let s be (4\/x)\/((-38)\/285). Solve s = c - 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4307631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -1.9634?\nAnswer: 0.0366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41220 and 6.\nAnswer: 41220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w + 5. Let k be u(5). Let d = 6 - k. Let s(a) = a**3 - 6*a**2 + 4*a + 6. What is the units digit of s(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/(-24) - (-2 - 1). Suppose -2*h - 5*f = -14, 0 = 3*h + 4*f - 7 - 7. Let q = 75\/14 + -20\/7. Which is the biggest value? (a) m (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22321?\nAnswer: 13, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10701768 and 1848?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 225 + -136. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -490 < -487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 z when four letters picked without replacement from ywwwzzwwywww.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhahdapplkdkdhkpp. Give prob of sequence dp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 3*p + 18. Let j = 5676 - 5671. Give r(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/4 - 5\/(-10). Suppose 4*y = 2*a + y - 10, -4*a + y = -d. What is the third derivative of -2*j**2 - a*j**2 + 3*j**2 - j**6 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/(-14) + (5 - 1). What is the nearest to -1\/4 in p, -4\/5, 3\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-222)\/(-14)*3 + 3\/7 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 1, c: 1, e: 1, m: 1}. What is prob of picking 1 c and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 15*u - 200 = 0. What are the prime factors of (0 + (1 - (-12)\/u))*390?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/322 and 59\/806380?\nAnswer: 5644660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3032834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 109, -3\/2, 1, 0.2 in decreasing order.\nAnswer: 109, 1, 0.2, -3\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 34690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/((r**27\/r)\/r))*r)\/r*r)\/r)**(-21) assuming r is positive.\nAnswer: r**(-525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let r(h) = 7*h**2 - 5*h - 2. Let x(w) = -r(w) - 6*v(w). Let c be x(2). Put 3\/5, -4, c in increasing order.\nAnswer: -4, 3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75639216 divided by 18909804\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3518 + -4032.7. Let m = c + -2.3. Let j = 516.99278 + m. What is j rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**6\/6 - 8*q**3\/3 + 8. Find the third derivative of t(o) wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/149 (c) -3 (d) 0.5 (e) -5425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.928 - -0.072. Let v = -257 - -252. Which is the nearest to l? (a) 3\/4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/25)\/3*43760\/(-35008)?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c**2 + 0*c)*(-4 + 1 + 0) + 4*c - 2*c**2 - 4*c.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*b + 208 = -2*n, -118 = -3*n - 5*b. Let w be (-38)\/((-33)\/22 - n\/(-30)). Let k = w - 158. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {i: 2, j: 1, n: 3, u: 1, t: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2567 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -40 - ((76 - -23) + 16)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36684429, 36684428, 36684427?\nAnswer: 36684426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1066281 milliseconds to microseconds.\nAnswer: 106.6281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 879 and 6.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -0.0101 (b) 1 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u)**(-24\/11)*(u\/(u*(u\/(u**(3\/10)*u*u))\/u))\/(u\/((u**(-8)\/u)\/u)) assuming u is positive.\nAnswer: u**(-1677\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:13 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59945 = 3891*x + 851*x + 321*x - 525741 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4791770.\nAnswer: 2, 5, 349, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29776 = -48*f + 8848. Suppose 641 - 4720 = -5*b - 4*x, -4*x + 4 = 0. Let w = f + b. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 + 26*u**2 - 20*u**2.\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -271776 take away -9644?\nAnswer: -262132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -106456 = -106456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504451 is divided by 501110.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -674 - -884. Suppose 21*x = i + 399. Solve -5*f - 3*n = 0, -n - x = 3*f - 5*n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 8:01 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*r - 25 = 4*d, -3*d = 3*r - 111. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4\/12 - c**3\/6 + 3*c**2 - 4*c. What is the units digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(-1*sqrt(12)) - (2 + sqrt(275))) + (sqrt(176) - (-2*sqrt(176) + sqrt(176) + -2)**2)*5.\nAnswer: -902 - 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from afafaafafafffffffaaa.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Does 4 divide 1\/u*2*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-9 - (-50 - 23) - (16 - 6))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 8, -233, 5 in decreasing order.\nAnswer: 16, 8, 5, -3, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -18 + (8 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 1. Let u be -2 - (3*-2 - -2). Let f be g(u). Suppose 0 = 3*q + 2*x - f, -4*q - x + 0*x = -8. Sort -1, 0, q in increasing order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -2*(-12)\/(-3). Suppose -10 = 5*b - 7*b - 3*g, 5*g - 12 = -b. Suppose b*w = 4*w - n. Solve 5*s = t + 23, 0*s - w*t = 2*s - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2420405638 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 10*c**2 + 10*c + 85. Calculate q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22216801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 232111, 232112, 232113?\n\"Answer: l + 232110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2)*r**29 assuming r is positive.\nAnswer: r**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - 9) + 10 + -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + ((-12)\/4 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 909626954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 91*t**2 + 814*t + 316. Calculate k(-81).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**2*j**2 + 11542*a**2*j*u + a*j**2*u - 13*a*u + 284*j**2 wrt a?\nAnswer: 8*j**2 + 23084*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -438, -1679, -3738, -6615, -10310?\n\"Answer: -409*o**2 - 14*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -51*c**2 + 408*c + 4. Let p be r(8). Solve p*u - 5 - 3 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35 and -0.042 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -24. What is the remainder when 53 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4847*j + 5023*j = 2112 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, 2\/13, -0.28, -459 in ascending order.\nAnswer: -459, -2, -0.28, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxm when three letters picked without replacement from {m: 2, b: 2, k: 4, x: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80610608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-306))\/((-4)\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 259905 - 100?\nAnswer: 259805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 100195915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 155470 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f**2 - 9*f - 20. Let r be d(-5). Solve -2*n - p - 6 = 3*p, r = -4*p - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-9)*27\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 27 = 33 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**3 - 14. Let h(l) = 9*l**3 - l + 24. Let o(g) = -3*h(g) - 5*y(g). Let s(t) = -t - 13. Let v be s(-14). What is o(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 5*z**4\/24 + 76*z**2. Let k(c) = c**2 - c + 1. Let t(x) = 20*x**2 - 10*x + 10. Let n(s) = 10*k(s) - t(s). Calculate u(n(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 71?\nAnswer: 20\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9111)\/4*124\/(-93) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 217*p - 49. Let j(w) = -18*w + 4. Calculate 49*j(l) + 4*y(l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178.3300029265 + 178.33. Round l to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 70, 162, 300, 490?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98040 by -60.\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18051262 a multiple of 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18*-5.032\nAnswer: 90.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnfvvvlllrnbrvlrvl. What is prob of picking 1 l and 1 b?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5355 (base 10) to base 9.\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (936\/(-45)*10)\/(-2)*12\/78?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*c + 1)*(5 - 1 - 2) + 6*c - 4*c - 25*c + (-2*c - 4*c + 4*c)*(1 - 3 + 3) + (4 + 1 - 3)*(3*c - 4*c + 0*c).\nAnswer: -31*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001662621 rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1687399*i**6 + 2*i**2 - 76623*i - 2.\nAnswer: 202487880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0 - 21*m - 9\/7*m**2 - 1\/14*m**3 + 1\/28*m**4. Factor v(z).\nAnswer: 3*(z - 3)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000000 (base 2) to base 16.\nAnswer: -1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650019536 to the nearest integer?\nAnswer: 25495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 10, -3*p = -4*y - 2*p - 10. Which is smaller: 88 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -26*i**2 + 924*i - 1266. Calculate z(34).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 118, -66, 1, -11 in descending order.\nAnswer: 118, 5, 4, 1, -11, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2622228 and 30687.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 4*i + 1. Let s be m(-2). Is 8\/40 + 664\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176 or -7459?\nAnswer: -7459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-205996)\/4116 - -1*3\/63\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g\/g**(3\/10)*g))\/g)\/g**21 assuming g is positive.\nAnswer: g**(-247\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 + 40. Let z(w) = -44*w**2. What is z(q(t))?\nAnswer: -396*t**4 + 10560*t**2 - 70400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 9*y**2 + 3*y + 32. Let d be v(-9). Which is the closest to 1? (a) d (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 4*j**2 + 3*j - 7. Let o be 232\/12*(-99)\/(-6). Let q = -314 + o. What is z(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 7*x**2 - 9*x + 9. Let k be b(8). Solve 0 = -5*q + 11 - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.864 and 8.\nAnswer: 14.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -71, -230, -535, -1034, -1775?\n\"Answer: -8*v**3 - v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -1807*l**3 + 29676*l**2 - 265*l. Let g(q) = -904*q**3 + 14838*q**2 - 159*q. Let h(y) = 5*g(y) - 3*r(y). Find the third derivative of h(a) wrt a.\nAnswer: 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**4*x + 2*d**3*k**3*x + 71*d**3*k + 2*d**2*k**3 - 192*d**2*k + 2*k**2*x wrt d?\nAnswer: -96*d*x + 12*k**3*x + 426*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -72, -263, -636, -1251, -2168?\nAnswer: -3447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-8)*(-8)\/(-42). Let q = -0.09 + -0.11. Which is the closest to 1? (a) t (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149.9 + -150. Sort 4\/5, c, 0.1, 5 in decreasing order.\nAnswer: 5, 4\/5, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -123*b + 2235. Determine s(17).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 257*k. Let t(j) = -737333*j. Calculate m(t(v)).\nAnswer: -189494581*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211257 = -10*a - 15*a + 55793. Is 221 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 7*t + 4*b + 53 = -4*t, -3*b - 36 = 15*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 + (14 - (3 + -3))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + (-12389)\/(-2067))*(-3 - 1*-2). Let d = -1 - -1. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.012 and -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*z, 12*q + z = 8*q + 165. What is the remainder when 230 is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -2, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/75 in 5, 0.4, -14, 20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 283*a**3 + 6*a + 9. Let b(z) = 3*z**3 - 2*z - 2. What is -3*b(f) - x(f)?\nAnswer: -292*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 29 = 5*v, -17 = -4*t + 4*v - 53 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 0, 17, -4, 2, -3 in increasing order.\nAnswer: -4, -3, 0, 2, 17, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -125*y**3 - 14*y**2 - 4*y - 10. Let d(h) = -125*h**3 - 15*h**2 - 3*h - 8. Let g(k) = 3*b(k) - 4*d(k). What is the third derivative of g(c) wrt c?\nAnswer: 750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -26. Let y(n) = n**3 - 22*n**2 + 20*n + 37. Let i be y(f). Solve -2*g - i = -6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -24818*h + 1166465. Determine c(47).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/13 + 16086*v\/13 + 1381760\/13.\nAnswer: -2*(v - 8128)*(v + 85)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 217, 876, 1975, 3514?\n\"Answer: 220*m**2 - m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6) + 6\/(-9))*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 14 - (-1563 - -1590 - (-1 + 14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-six fifths of a gram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-22)*y)\/((y\/((y\/y**27)\/y))\/y))**46 assuming y is positive.\nAnswer: y**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1011730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y**2 + 5*y - 4. Let j be v(3). Solve 2*s + j*s = 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -16*d**2 - 2. Let u(r) = r**2. Calculate j(u(l)).\nAnswer: -16*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -49*r**5\/60 + r**4\/24 + 119*r**3\/6 - r**2 + 37*r. Find the first derivative of b(f) wrt f.\nAnswer: -98*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*j - 1 - 2*j - j + 2 - 2 - 3*j - 2*j - 4*j + 3*j + (0 + 2 - 3)*(-3*j - j + 3*j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from vvsvqssseqsq.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -640 - -672?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 - l + 1. Calculate y(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1275\/6473?\nAnswer: 1275\/6473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 59*d**2 + 343*d + 14. What is n(-53)?\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgggqdg. What is prob of picking 1 g and 1 d?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 4, -58, 163 in decreasing order.\nAnswer: 163, 4, -2, -11, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*o**4 - 46 + 47 + 17*o**3 + 54*o**4 to the form x*o**2 + b*o**3 + q*o**4 + d*o + p and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -117*j - 13. Does 35 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let j = -13 - -16. Let q = p - j. Are q and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 40*j**2. Let c(f) = f + 3131. What is c(o(q))?\nAnswer: 40*q**2 + 3131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) -11.5 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217\/2 or -108?\nAnswer: -217\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39202\/20 - (-12)\/(-120)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + b - 36. Let x(m) = 14*m + 7. Let r(n) = -13*n - 7. Let u(t) = 7*r(t) + 6*x(t). What is the remainder when 82 is divided by u(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-3*3 - (sqrt(12) - -1*sqrt(72)\/sqrt(6)))\/(((sqrt(216) + (sqrt(216)*-1 - sqrt(216)) - sqrt(216))*-4 - sqrt(216))\/sqrt(4)).\nAnswer: -11*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 297517 times -3\nAnswer: -892551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -765698, -1531405, -2297112, -3062819?\nAnswer: -3828526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53, -76, -101, -128, -157, -188, -221?\n\"Answer: -v**2 - 20*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6010, 17, -4 in descending order.\nAnswer: 6010, 17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 887*y**3 + 857*y**3 - 3287*y**3 + 825*y**3 + 881*y**3.\nAnswer: 163*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**14*k*(k*k*k\/(k*k**(-5\/6)))\/k)\/(k**(10\/9)\/k)**46)**(-11\/7) assuming k is positive.\nAnswer: k**(-2519\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 2:57 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 72478*j + 3338220.\nAnswer: -2*(j - 46)*(j + 36285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7343 (base 14) in base 9?\nAnswer: -812534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = -2*g, -5*g = 5*m - 6*m + 33. Let u be 3\/(-9)*(8 - g). Let n be (-1 + 0)\/(-3 - u)*34. Which is greater: -18 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**6)*k*k)\/(k*k**(-4\/3)))\/(k**0\/(k\/(k**(1\/5)\/k))))\/(k**3\/(k\/k**(-1))*k**4*k**(2\/13)) assuming k is positive.\nAnswer: k**(-1369\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 34. Let t be 4\/w + 13\/5. Factor 6*h**3 + 2*h**2 + 5*h**4 + 2*h**2 + 2*h**t - h**4.\nAnswer: 4*h**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 3 - 8 - 147*t + 5 + 150*t + 5.\nAnswer: 3*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 122 = -23*t - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 275505*108\/810 + (6 - (0 + 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.16 from 0.093.\nAnswer: 11.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (24\/72)\/(1\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*u + 5. Suppose p - 2 + u = 0, 2*s = 3*p + 147. Let c = s + -24. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82159.444 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200175, -400345, -600513, -800679, -1000843, -1201005, -1401165?\nAnswer: -1601323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 0.2, 3, 2, -0.161?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384546199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -300, -446, -592?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 384.361 - 384. Let h = s - 0.261. Which is the third biggest value? (a) 1.2 (b) h (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 267\/1324 - 369493\/456780. Let g = 1\/138 + z. Let j = 51212 + -51210. Sort j, g, -0.2.\nAnswer: g, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*i = 419*i + 45. Let j(h) = h**3 + 2*h**2 + 15*h + 3. Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = 5. Suppose 3*a - 30 = 4*j, -4*a = -0*a - 3*j - 33. Suppose 2*x - b + 15 = a*x, 3*x = -5*b - 10. Calculate the remainder when h is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21 and -256.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/175 and 119\/2312150.\nAnswer: 16185050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/5 - 19\/15. Let z(k) = 7*k - 76. Let d be z(11). Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 - 2)*(-1 - 1 + 3) + 2 - 3 - 1)*(-11*m - 29*m - 3*m)*(-3 + 4 - 2) as v*m + p and give v.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5894946056793 from -8.\nAnswer: -5894946056801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 707.21862569.\nAnswer: 711.21862569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3 + 9118*f**2 - 10396798*f + 10387682 = 0. What is f?\nAnswer: 1, 2279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1508 is divided by 717.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1296361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49079, -98153, -147209, -196235, -245219?\nAnswer: -294149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*y**3 - 150*y**3 + 76*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 6:22 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n - 35. Let s be b(8). Let y = 181 - s. Is y a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - 4*v**4 + 6*v**4)*(-16*v - 46*v - 17*v).\nAnswer: -79*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = -b, -3 = -2*b - 4*w + 7. Let y be (-1 + 3)*b\/(-2). Let p = 17 - 13. Put p, -3, y in increasing order.\nAnswer: y, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**4 + 25*n**3 - 19*n**3 - 35*n - 10 - 30*n**2 - n**3.\nAnswer: 5*(n - 2)*(n + 1)**2*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.7 + -23790968397\nAnswer: -23790968410.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -125 - 0?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3527863001 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 768 by 2045.\nAnswer: 768\/2045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -64395 divided by -265?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g = 4*z - 13*g - 94, -2*z + 38*g - 41*g = -51 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 103*d. Let f(a) = 4613*a**2 - 3*a + 0*a - 4610*a**2 + 3*a. What is t(f(n))?\nAnswer: -18*n**4 + 309*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 67 + 1787. Round o to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 6*x + 4*x)*(-2 + 1 - 1)*(-6*x**2 + x**2 + 3*x**2).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 3. Solve -3*g - c - 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -0.2122338056.\nAnswer: -0.1122338056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + 2*h + 2. Suppose a = -2*a - 9. Suppose -w = 3, -w = 2*d + 2*d - 161. What is the remainder when d is divided by y(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 36, 136, 328, 642, 1108, 1756?\n\"Answer: 5*n**3 + n**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 3.7. Let p = 20 + -19. Let h(x) = x**3 - 4*x**2 + 3*x - 1. Let l be h(2). What is the second biggest value in j, l, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:04 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 14*v + 12. Let n(b) be the second derivative of -1\/10*b**6 - 1\/5*b**5 + 5\/12*b**4 - b + 0 + 0*b**2 + 1\/3*b**v. Determine y so that n(y) = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {o: 4, t: 3}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjfjffffzjmjm. Give prob of sequence zmj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let r be y(-6). Suppose 2*o - r = -2*s, -o = -0*o + 5*s - 15. Suppose o = -5*w + 70 + 10. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/30 + 11\/30. Let c = 0.42 + -0.14. Let p = 0.18 - c. What is the nearest to p in 14, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 + -273. Let t(c) = c**3 + 7*c**2 + 11*c + 4. Let f be t(r). Suppose -3*z - 11 = -5*p, 3*z + 5*p = z + 1. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-88)\/20 - ((-74)\/(-110) + -1)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 2, t: 2}. Give prob of picking 2 g and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3159, 2851, 2543, 2235, 1927, 1619?\n\"Answer: -308*m + 3467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 9586, 31710, 74716, 145564, 251214, 398626, 594760?\nAnswer: 846576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/3, -15, 0, 1 in descending order.\nAnswer: 1, 1\/3, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 107. Suppose -123 = -16*y - t. Solve -3*c - y = i, c - 5 = 4*i + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 2*r - 2. Let b be p(2). Let y(n) = -n**2 - 7*n - 1. Let c be y(b). Let m(a) = a - c*a + a + a. Let l(z) = 3*z**2. What is l(m(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = -2*z. Let i = -15 + 11. Let t = i - -9. Which is the smallest value? (a) t (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + v + 4*v + 23 = 0, -4*o = 5*v + 16. What is the derivative of -11 - 12*r - o - 2 - 1 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1*((-235)\/90)\/(-47)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, k: 2, e: 2, p: 1, f: 1}. What is prob of picking 2 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 34174*f**3 - 204996*f**2 + 409960*f - 273296.\nAnswer: -2*(f - 17081)*(f - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -14*o**5\/5 + 32*o**3\/3 + 14. What is the third derivative of v(r) wrt r?\nAnswer: -336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 3*a**2 + 2*a**2)*(3*a - 3*a - 2*a**2) + (3*a**2 + 0*a + 0*a)*(22 + 71*a**2 - 22) + (-2*a**2 + a - a)*(a**2 - a + a).\nAnswer: 213*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(121)*-3)\/(sqrt(88)\/(-2*sqrt(8))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(3*sqrt(22)\/sqrt(2)))\/((-2*sqrt(1176) + sqrt(24))\/sqrt(6)).\nAnswer: -sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 23*a + 45. Give t(-29).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58880214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/237 and 75\/158.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0199, 1, -3.7, -0.15 in decreasing order.\nAnswer: 1, 0.0199, -0.15, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 2*q, 2*q + 4*d - 20 = 5*q. Suppose 7*x - 7799859 - 7023327 = q. Let c = 487598 - x. Round c to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -881*u**2 - 1499*u + 1499*u.\nAnswer: -881*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251*j**5 + 2*j**3 - 753*j**2 wrt j.\nAnswer: -15060*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 12 in decreasing order.\nAnswer: 12, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*t + 26 = 0, -1 + 12 = -5*j - t. Let k = 5 + j. Let v(b) = -b - 3 + 4 - b**2 + 1. Calculate v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31088 divided by -3\nAnswer: -31088\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.2 (c) -1 (d) 703 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2 + 8*d - 7. Let b(p) be the second derivative of -p**4\/12 - p**3\/6 - p**2\/2 + 5*p - 522. What is 5*b(t) - i(t)?\nAnswer: 2*t**2 - 13*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k. Let r(h) = 2 - 2*h - 4*h**3 - 2*h**2 - h + 7*h. Let w(t) = -2*b(t) - r(t). Find o such that w(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73020.\nAnswer: 2, 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 24952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 6 - 4 + 2 + 1 + (2 + 1 - 1)*(-1 + 0 - 1) + 3 - 4 - 1 + 76 + 56 + 33)*(-g + 2 - 2 + (0*g + g - 2*g)*(-1 - 1 + 4) + g + 2 - 2).\nAnswer: -306*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 11*r - 6. Let z be t(-12). Let y = 30 - 42. Let q = z - y. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*t**3 + 46*t - 46*t - t**2 as d + h*t**3 + m*t**2 + f*t and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/8 (b) 3 (c) 66 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1721 + 1718 - 4*m + 22*m)*(-2*m**2 + 2*m**2 - 3*m**2 + (2*m - m - 2*m)*(0*m - 2*m + m)).\nAnswer: -36*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4688096m to micrometers.\nAnswer: 468809.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (60 + -53).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -0.2, -15, -2\/9 in increasing order.\nAnswer: -15, -2\/9, -0.2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in 3\/4, 76, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23 or -15?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1006 - -0.0114. Let j = -0.032 + c. What is the smallest value in 3, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:43 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:55 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -352\/663 + 392282\/711399. Let s = 76623\/21460 - m. Calculate the common denominator of -103\/98 and s.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.26 (b) -4 (c) 0.5 (d) -2\/61 (e) -30 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 - 4*g**3)*(4*g**2 + 0*g**2 - 2*g**2) + (-2*g**4 - 2*g**4 - 7*g**4)*(-3 + 2*g + 3).\nAnswer: -34*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {r: 2, u: 5, g: 7}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/(128\/808))\/(-11) and 133\/2136.\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 + 13*t - 1. Let l(a) = -5*a**2. What is -k(u) - l(u)?\nAnswer: -2*u**2 - 13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 10:04 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1089 by 9.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*g**3 + 13*g**3 + 583*g**2 + 68*g**3 wrt g.\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00748548 to four decimal places.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20*1\/(0 - 9) and -43\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -110, -221, -326, -395, -398?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 0.284856?\nAnswer: 2.278848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*p**2 + 264*p**2 - 11*p**2)*(-4 + 6 + 2).\nAnswer: 1388*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -u + 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 64284.53t?\nAnswer: 64284530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-8 + -9 - -42).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 93, 376, 949, 1908, 3349, 5368?\nAnswer: 8061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 76*i**3 + 8*i**2 + 14*i + 7. Let g(a) = -77*a**3 - 9*a**2 - 16*a - 8. What is 6*d(t) + 5*g(t)?\nAnswer: 71*t**3 + 3*t**2 + 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3204 and -131\/48.\nAnswer: 12816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.5, 0.14, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*j + 80 = 0. Let m = -13 - -27. Calculate the remainder when j is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d - 338*d**3 - 354*d**3 + 678*d**3.\nAnswer: -14*d**3 - 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3318)\/(-222) + (-12)\/(-222). What is the highest common factor of q and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654384686?\nAnswer: 2, 13259, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*m**3 - 594*m**3 + 88*m**3 + 96*m**3 + 105*m**3 + 103*m**3 + 104*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 51. Let i = 428 + -431. Let l(p) = -p. Let s(a) = -6*a + 2. Determine c*s(d) + i*l(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*y + 118*y = -3*d + 13, 19 = 5*d - 2*y - 13 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 9, c: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x + 12*x - 38. Let f = -0.07 - -0.14. Let i = f + 2.93. Which is the closest to i? (a) x (b) -6\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(70\/(-4)) - 50\/(-315)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143750 rounded to the nearest 10000?\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.09 - -0.11. What is the second biggest value in n, -0.5, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(-1*sqrt(64) + sqrt(64) + sqrt(4)))\/(sqrt(320) + -1*sqrt(320)*5) + 3)**2.\nAnswer: -3*sqrt(2)\/16 + 4609\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8931?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121504\/579 - 345044131\/1239060. Let j = -9\/428 - m. Let d = -69 + j. Are d and -61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/5 - 1772*l\/5 + 42978 = 0. Calculate l.\nAnswer: 145, 741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 20*b + 4. Let s(n) = -4*n**2 - 18*n + 5. Let w(q) = -5*p(q) + 6*s(q). Calculate w(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/960 and -125\/144.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -77, -2, 0 in increasing order.\nAnswer: -77, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12040, 48105, 108212, 192361, 300552, 432785?\nAnswer: 589060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 15216340.\nAnswer: -7608170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -4 (c) 113 (d) 2\/3 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129600395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49016, -49052, -49110, -49190?\nAnswer: -49292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 - 130*p**3 - 2576*p**2 - 14112*p.\nAnswer: -2*p*(p + 9)*(p + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26924 - 7761.\nAnswer: 19163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 43*x - 3 + 4 - 52*x.\nAnswer: -95*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17445000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 6. Let l be c(8). Suppose -50 = -5*p + 5*n, p + l*p - 45 = -2*n. Calculate the remainder when 99\/2 - 1\/(-2) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 4. Let c = r + -3. Let g be (10 - c)\/((-12)\/(-8)). Solve -3*x = 4*o - g*x - 1, o + x = 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 325 + -165. Suppose -4*f + h = -4*u, 25 = 2*f - 5*u - 55. Calculate the remainder when f is divided by 2 - (2 - 21) - 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - (-4 + (4 - 5))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27.7999619 - -27.8. Round g to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -612, 4.\nAnswer: -612, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39964?\nAnswer: 2, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*n + 520 = 369*n. Solve 64 = -6*q + n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 2*x + 12*p - 726, -1086 = -3*x - 3*p. Calculate the lowest common multiple of x and 12.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 4\/(-2) - 1. Let k = 11 - d. Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*n**2 + 476*n**2 - 250*n**2.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yfyw when four letters picked without replacement from {w: 2, s: 1, y: 2, u: 1, v: 5, f: 2}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9498 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247 - -252. What is the nearest to 2\/3 in 5\/2, -4, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -10, -7, 1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + w)*(-3*w - 3 + 3) - 2 - w**2 + 2)*(-1 - 1 + 3) as p*w**2 + o + u*w and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -368 - -368. Let g(q) = 2*q**2 - 2*q + 2. Let s be g(1). Solve -s*b + 4 = -j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:33 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 - -3.6. What is the nearest to -1\/2 in -0.3, a, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*h*j*s*t + 19*h*j - h*t**2 + 57446*j*s*t**2 + 284*s*t + 5*t**2 - 23413 with respect to j.\nAnswer: -7*h*s*t + 19*h + 57446*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(140)*1)\/sqrt(10) - -4*-1*sqrt(14))\/(((sqrt(72)*2)\/sqrt(9))\/sqrt(4)) + 1.\nAnswer: -4 - 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*f**6 - 3*f**4*h**2 - 26*f**2*h**2 + f*h**2 wrt f?\nAnswer: 10320*f**3 - 72*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1437 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/108 and 149\/648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/15*(0 + 3). Is ((-1067)\/(-22))\/(2\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156781.3 to the nearest 1000.\nAnswer: 157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47744\/(-2238))\/(24\/(-27)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n + 15. Give w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75083*f**2*q**2 - 3*f*q**2 + 41*f - 3*q**2 - 1 wrt f?\nAnswer: 150166*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - (-14)\/(-24). Let r = -0.12 - -0.02. What is the biggest value in -1\/4, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in -5, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Let x = 649.5 - 649.9. Which is the fourth biggest value? (a) s (b) -0.04 (c) -0.2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9 - (-17719)\/4. Let w = v - 4420. Calculate the common denominator of 21\/8 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(13) - (sqrt(117) + -5)) + sqrt(13) - sqrt(13)) - (sqrt(325)*-1 - -2*sqrt(13)*-2)) + -4)**2.\nAnswer: 32*sqrt(13) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -738, -1140, -1542, -1944?\nAnswer: -2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-98)\/(-35))*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2723, -2728, -2737, -2750?\n\"Answer: -2*i**2 + i - 2722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-27)\/(t\/((t*t**(14\/9))\/t))*t**(-18\/5)*t\/(t\/t**20*t) assuming t is positive.\nAnswer: t**(-497\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7148138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 <= 529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -11*j + 1350. Find the second derivative of j*q - 78*q**2 + 2 - 296*q + 108*q - 65*q**2 wrt q.\nAnswer: -286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1588*s + 1777 = -4167 - 408 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14. Let j = -10 - -4. Let z = h - j. What is the nearest to 0.1 in 1, 3\/4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -2, 5551, -3, 1, 6 in increasing order.\nAnswer: -3, -2, -2\/13, 1, 6, 5551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 12362.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2142 and 102950316?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -2.7. Let i = -4.25 + 0.25. Which is the second smallest value? (a) y (b) 2 (c) i (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28250880 to the power of 1\/2, to the nearest integer?\nAnswer: 5315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -1\/2*x**2 + x - 1\/20*x**5 + 0 + 0*x**4 + 0*x**3. Differentiate o(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1043 = -11*p + 1054 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000969657 to five decimal places.\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-31)\/(-62))\/((-2)\/(-20)). Suppose -5*p - 11 = -1, 2*h + u*p = 2112. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from {f: 4, i: 1, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.116 (b) 0.2 (c) -5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.8 times 0.12?\nAnswer: 5.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69025, -69024, -69013, -68986, -68937, -68860, -68749?\nAnswer: -68598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (70 - (-44 + (45 - 24))).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-2))\/(63\/(-12)). What is the smallest value in -5, -0.1, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 356*f**2 + 67*f - 62. Let r(i) = 175*i**2 + 33*i - 30. Let s(b) = 3*p(b) - 7*r(b). Find the second derivative of s(u) wrt u.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a92b2 - 0?\nAnswer: -a92b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -67*z**2 + 21*z + 38. Let n be u(-2). Let k = -261 - n. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) -1\/16 (c) 0.14 (d) -1\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 28*k = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*b + 17, 2*a - 6*a - 14 = -2*b. Suppose 18 + 18 = b*m. Suppose 5*h - m = 8. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 6*x**2 + 4*x + 10. Determine a(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.353227 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969170 is divided by 56?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -13*s + 11. Let u(p) = -6*p + 5. What is -9*u(o) + 4*y(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (40\/12 - 3)*15. Let n(i) = 242 + 205 + 4*i**2 + i**3 - p*i**2 - i. Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*m = -10, -1319*d - 3*m + 6 = -1322*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/112 and -29\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035776465 rounded to 7 decimal places?\nAnswer: -0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10832 + 10831.9. What is the nearest to 33 in 1, 2, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l + 4. Let u(h) = 49*h - 195. Calculate a(u(w)).\nAnswer: -196*w + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38.2 + 38.7. Let v = -0.09 + -0.71. Put v, 4\/3, -3, p in ascending order.\nAnswer: -3, v, p, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-44) + 48\/(-264).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -9. Sort 4, 2\/9, x in descending order.\nAnswer: 4, x, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1\/552, 0.003, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 0 - 1 + 2. Let s(v) = -3*v + 8. Give -s(l) + 6*u(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/198 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*g = 64*g - 1659 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 - 7*g + 8. Let i be n(1). Put i, -2, 3 in decreasing order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78 + -56. Let b = -22 + q. Let d be (1\/(-2))\/(1\/(-6)). Sort d, b, 4 in decreasing order.\nAnswer: 4, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c + 71?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 27 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/13, 5\/8, 3, -0.3 in increasing order.\nAnswer: -0.3, 0, 2\/13, 5\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/36*-226 - (-964)\/2169.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**5 - 3*h**4 - h**2 - h. Let a(r) = 6*r**5 - 142*r**4 + 1292*r**3 + 1446*r**2 + 2*r. Let y(j) = a(j) + 2*m(j). Factor y(i).\nAnswer: 4*i**2*(i - 19)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v + 3 - 3)*(3*v - 3*v - v) + 2*v**2 - 2*v**2 + 2*v**2 + 0 + 0 + 6*v**2)*(-4*v + 73*v + 14*v).\nAnswer: 830*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-108)\/120 - (-2)\/5)*16. Is c at least as big as 1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*304\/(-2964)*-117\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3068 is divided by 608?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 105?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 a factor of 6509115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 + 2415*a**2 - 7310*a - 9720 = 0. Calculate a.\nAnswer: -486, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -222110002102 (base 3) in base 11?\nAnswer: -326127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 2*i - 2. Let w be k(3). Let b be -1*(-1)\/w - 0. Suppose 0 = 3*l - b - 17. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + -7.07. Let a = g - -7.08. Let n = a + -0.07988. What is n rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 0*l + 0*l + (1 - 2 + 2)*(l**2 - l**2 + 2*l**3) + (-1 - l**3 + 1)*(1 + 2 - 1) - 2*l**3 + l - l + l - l + l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212536, -212536, -212538, -212542?\nAnswer: -212548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23203 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -22, 0, 0.3, -0.07, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, 0, -0.07, -22, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126883.\nAnswer: 31, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1965, 1544, 869, -186, -1747?\n\"Answer: -21*c**3 - c**2 - 271*c + 2258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-96)\/(-108)))\/(6\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 15 = k. Suppose i + 0*i - 14 = 5*w, -3*i - 4*w + 4 = 0. Suppose -g - k*v - 2 = -14, 33 = g - i*v. Solve 4*q + 1 = g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhnhh. What is prob of picking 3 h?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 3*x**2 - 17*x - 2. Let s be m(6). Which is the second smallest value? (a) -5 (b) 2 (c) s (d) 66 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in -47875, -0.3, 2\/3, 5, 2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k**3 + 0*k**6 + 0 - 92\/105*k**7 + 79\/15*k**5 - 104*k**2 + 0*k + 0*k**4. What is the third derivative of p(o) wrt o?\nAnswer: -4416*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/10 - 2\/(-10). Suppose w*z + 12 = z - 4*o, 4*o + 20 = 2*z. Suppose y - 1 = 2*b, z*y + 0 = -2. Which is bigger: b or -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/10)\/(4\/(-10)). What is the closest to 0 in a, -0.1, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/11)\/h)\/(h\/(h*h\/(h*h**(-1\/25)*h*h)*h)))\/(h**(-2\/63)\/(h\/(h**(-20)\/h))))**6 assuming h is positive.\nAnswer: h**(689186\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 + l + 2. Let v be g(-2). Suppose -5*r + v*r = 15. Let z(w) = 9*w**2 - 4*w + 1. Let t(s) = -4*s**2 + 2*s. Give r*t(y) + 2*z(y).\nAnswer: -2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 181594 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 145*x**3 - 12*x**2 + 142*x**3 + 12*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 433 + -435 - (2 - 6\/3 - 44)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 + 44388*o**3 + 978188*o**2 + 3158748*o - 10585288 = 0. Calculate o.\nAnswer: -17, -7, 2, 11119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -323 - 512. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.070485 + -0.035669?\nAnswer: -0.106154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -235.11982 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -54 - 87*y + 115 - 60. Let c(a) = -2*a**2. Calculate c(p(r)).\nAnswer: -15138*r**2 + 348*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 + 6*h - 1. Let y(u) = -6*u**2 + 5*u. Let p = -16079 + 16073. What is p*y(f) + 5*n(f)?\nAnswer: f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/(1 + (-5 - 35\/(-10))). Let p(a) = 4*a - 4*a + 55*a**2 - i*a**2. Let t(j) = 5*j**2. Calculate t(p(k)).\nAnswer: 125*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -5*v + 11, -776*f = -774*f + 8*v - 11 + 33 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 17 - 8 = 0. Let b(x) = 11*x - 1. Let q(m) = -7*m + 37. Let d(i) = -7*i + 43. Let u(l) = -6*d(l) + 7*q(l). Give f*b(t) + 8*u(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1585*l = 1602*l - 1224. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -710.05046 + -188.25144. Let g = n + 902. Let t = g - 3.7. Round t to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 12*j**2 + j - 13. Calculate o(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/12 (b) 0.3 (c) -1\/2 (d) 9283 (e) 44\/15 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*(-75)\/(-75).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Let r(x) = 5*x - 4. Suppose 85*k - 480 = 24*k - 35*k. Let h(j) = -3*j + 2. Determine k*h(q) + l*r(q).\nAnswer: -5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:46 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*j - 28 = 0. Suppose j*b = 10*b - 33. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwf when three letters picked without replacement from wqfgwfwoggfggff?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 - 1 = 0. Suppose -22*k - 6 = 69 + 35. Put -20, s, 4, k in descending order.\nAnswer: 4, s, k, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62939 is divided by 15697.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 - 59 = -50*d + 65 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 2 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17.7318714 and 0.941.\nAnswer: -16.7908714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1040*x**4 + 389*x wrt x?\nAnswer: -12480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29959 divided by 2\nAnswer: -29959\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5643351.9us to hours.\nAnswer: 0.00156759775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*k - 59494, -2*h - 12663 = -k + 11140. What is h rounded to the nearest one hundred?\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*g + 22 = 0, -2*j = 5*g + 3 + 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a + 3. Let q(g) = 7*g + 5. Let l(c) = -10*d(c) + 6*q(c). Let r(h) be the second derivative of 3*h**4\/4 - 522*h. What is l(r(w))?\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 131529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**2 + 0*w**3 + 0 + 1\/12*w**4 - 1\/60*w**6 + 0*w + 0*w**5. What is the second derivative of c(m) wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h - 14. Suppose 65 = h*z - 0*z. Solve z + 2 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/210 + (-3380)\/56*(-204)\/340.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7 - 5 = 0. Suppose -2*g - 5*r - 14 = 0, -2*r = g - 2 + 7. Sort -1, g, 7, p.\nAnswer: -1, g, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**3\/w)*w)\/w*w**2)\/(w**(-1)*w)**(33\/5)*((w\/(w*w**(-1\/3)\/w*w))**(2\/183))**22 assuming w is positive.\nAnswer: w**(593\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. Let u = 1.5 + d. Let i be 2 + 0 + 24\/(-9). What is the nearest to i in 0.2, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 32. Let v be q(-16). Let h = -12 + 17. Solve 5*j - h*r + 10 = 0, -4*j + 5*r - 8 + 1 = v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57162217.\nAnswer: 7, 8166031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -68 - 190. Suppose 0*m + 2*m = l. Suppose -62 - 152 = -5*x - 4*y, -m = -3*x - 3*y. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/34 + -15\/68. Which is the nearest to -1? (a) -2\/11 (b) -3.7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062402217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 3969*r**5\/10 - 454*r**2 - 2*r - 328. Find the first derivative of d(x) wrt x.\nAnswer: 23814*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 161\/8. Suppose -2*a = l + 6, -2*a - 28 = -4*l + 3*a. Put i, l, 5 in decreasing order.\nAnswer: 5, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*u - 197 - 11*u**2 + 7*u + 119 wrt u?\nAnswer: -22*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -15\/526087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r + 28 = 54*r. Solve 0 = -y - r*y - 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(1620) - sqrt(20)) + sqrt(20) + (sqrt(120)*-2)\/sqrt(6))\/((sqrt(160)\/(2*sqrt(5)))\/sqrt(8)) + -4.\nAnswer: -7 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1074*j - 19. What is g(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 457*u**6\/20 - 37*u**4\/12 - 3*u**3\/2 + 10*u**2 + 65*u. What is the second derivative of k(y) wrt y?\nAnswer: 16452*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**4\/4 - 5*n**3\/3 - 5*n**2\/2 + 21*n + 784. Calculate c(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160850, -160856, -160866, -160880?\nAnswer: -160898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -511.1 - -511. Which is the nearest to -2? (a) -5 (b) -0.5 (c) i (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flelllffl. What is prob of picking 1 l and 1 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38704 and 8496?\nAnswer: 348336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + (2 - (5 + (-14 - 0))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 27 = 11. Suppose -j*g = -10*g + 660. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = 3*y + 5*z, -8 = 2*z. What are the prime factors of (602\/y)\/(1\/4)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 216*v**2 - 8*v + 5. List the prime factors of u(1).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 11*r**2 + 10. Let b be u(8). Let l = b - -495. List the prime factors of l.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59136 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*j**3 - 239*j**3 - 326*j**3 + 967*j**3.\nAnswer: 114*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68920.\nAnswer: 2, 5, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + 4*j)*(-3 - 1 + 5 + (5 - 2 - 2)*(2 - 1 - 3) + 0 + 0 - 1).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 2*w + 4. Determine r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -3. Let m = -11 - -3. Let j = r + m. What is the nearest to 0.1 in -1, 1\/5, j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55.4263 and -0.002959383.\nAnswer: 55.423340617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 3422 = -811. List the prime factors of u.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -158*o**3 + 7111*o**2 - 50*o + 147. Calculate l(45).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-1)\/(-3) - 1). Suppose 257*d - 236*d + 21 = 0. Let k = d + j. Which is smaller: -0.8 or k?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-189)\/(-126))\/((-58)\/32 + 2). Solve -6*f + 70 = m*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3160237 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 g(o) be the first derivative of o**4\/4 - 73*o**3 + 245*o**2 - 150. What is the second derivative of g(b) wrt b?\nAnswer: 6*b - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a37a9 (base 12) in base 11?\nAnswer: -1365a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*g + 5, -18 = -18*n + 20*n - 2*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (687555\/1389)\/(9\/1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - -22. Suppose i - 4*k = -2*i - 79, -w = 2*i + 3*k. Is (-2)\/5 + (-5285)\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*m + 5*j, 5*m - 3*j = 3*m - 6. Suppose m*c + 4*c - 72 = -z, 0 = -5*z. Calculate the highest common divisor of c and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4367003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5\/3 - 188*m**4\/3 - 960*m**3 - 13312*m**2\/3 + 16384*m\/3.\nAnswer: -4*m*(m - 1)*(m + 16)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o**(1\/2)\/o*o)))\/o)\/o*o)**(-1\/4)\/(o*o**(-3\/10)*o)**(-29) assuming o is positive.\nAnswer: o**(1977\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/5, -2, 3\/2, 56?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5441 (base 9) in base 2?\nAnswer: -111110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d + 190 - 10834 = 0. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**2*s))\/(s\/(s\/s**5)))\/(s**14*s\/(s\/s**21)))**(1\/3) assuming s is positive.\nAnswer: s**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000381329 to 5 dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 321?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from nnyyznyyyyznn?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moomoopmo. Give prob of sequence omom.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 842 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*j**2\/19 - 2598*j\/19 - 12636\/19.\nAnswer: 2*(j - 81)*(17*j + 78)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 58*p + 56*p + 12 = 0, 2*p + 6 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20178 and 708?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 248.59?\nAnswer: 745.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-30)*((-40)\/(-15))\/8. What is the nearest to -5 in -11, 3, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 49. Which is the third biggest value? (a) q (b) -1\/6 (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15122, 11584, 8046, 4508?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1428*u - 94911. Determine h(66).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaiaaaiaa.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2177\/3875 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*f**2 + 16*f**3 + 23*f**2 - 59*f**2.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 127420*s**2 + 17532*s + 207.\nAnswer: (230*s + 3)*(554*s + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238906 and 2.\nAnswer: 238906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27760 divided by 2776\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -11*u**2 + 111*u - 168. Let i be s(6). What is the greatest common factor of i and 5440?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 5*g + 14. What is d(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 437702105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1367, -1846, -2325, -2804?\n\"Answer: -479*s - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**12)**(-3\/10)\/(p\/p**(1\/7))**(-5\/6))**(-1\/18) assuming p is positive.\nAnswer: p**(223\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21887061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 3. Let z be g(3). Let m be (2\/z)\/((-6)\/36). Suppose 0 = y + m*y. Solve 5*s = -y*c - c, 2*c + 13 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqqwqwvqzq. What is prob of picking 2 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-125383)\/(-3) - (-4)\/(-12). Suppose -3*x + h = -2*o - 6*x, 4*x - 8 = 0. What is o rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 0 + 6*h**2 + 45*h + 7\/3*h**3. Differentiate l(a) wrt a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003112 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 22. Suppose 15 = 2*u - 3*j - 38, d*u = 5*j + 135. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Suppose 0 = -y - 4*u + 31, r*u - 75 = -0*y - 5*y. Calculate the greatest common factor of 77 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 4653?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -25*g**2 + 3327*g + 9938. Give v(136).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (260\/(-130))\/(0 - (-4)\/(-46)). Suppose 26*b = 27*b - g. Solve -7*v = -b + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1102220003?\nAnswer: 1102220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*p**5 - 21*p**4 + 36566*p wrt p?\nAnswer: -500*p**3 - 252*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 415*p**2 - p. Let b be r(-1). Let q = 1733 + -1488. Let s = b - q. Calculate the greatest common factor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349360178.\nAnswer: 2, 3, 37, 53, 73, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34\/(((-35)\/10)\/(-7)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55770 or 55782?\nAnswer: 55770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 178414*g*j + 14*g*w**3 - 33*j*w - 15*j + 14577*w**3 wrt w.\nAnswer: 42*g*w**2 - 33*j + 43731*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8207755 millilitres to litres.\nAnswer: 0.0008207755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26\/3 + -451\/51. Does 1 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/5*((-7200)\/(-140))\/36?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 722784609 a multiple of 1786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3 - 48076*o**2 - 294828472*o - 70733618000 = 0.\nAnswer: -11894, -250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -198.47 from 379507511.\nAnswer: 379507709.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50949*g**6 - 52*g**3 - 5*g**2 - 4622697 wrt g.\nAnswer: 6113880*g**3 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 44 = -2*h. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7275*s**4*v + 144*s**2*v**2 - 602*s*v**2 - 148*s*v - v**2 wrt s?\nAnswer: 87300*s**2*v + 288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117062 is divided by 7802.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11170*v**2 - 257*v - 21 wrt v.\nAnswer: -22340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 10206147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, 2, -0.1, -0.5, -0.3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 3*x + 27, -6*b + 2*b = 3*x - 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4265*r + 27010*r - 1137250 = 0 for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -200\/111, 47, 12?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6677?\nAnswer: 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27556990\/805 - (-5)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = 4*g - 3*z, 0 = -5*g - 5*z + 5. Suppose k - g*k = 2*b - 5, 3*k - 31 = -2*b. What is the remainder when 24 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 0.1 (c) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -11, -17, -4 in decreasing order.\nAnswer: 3, -3, -4, -11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 48732.1 years?\nAnswer: 4873.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 61478 and 61477 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 0*w + 8*w + 7*w - w**2 - 14*w. Let x(h) = h**2 + 74*h + 432. Let o(r) = -2*a(r) + x(r). Determine n so that o(n) = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 o, and 1 l when four letters picked without replacement from loorobaoabaoorooo.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 4*sqrt(114) - sqrt(114))*-6 + (sqrt(114) - (-3*sqrt(114)*2 + sqrt(114))))\/(5*sqrt(216)*3*-5).\nAnswer: sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 4*x - 3. Suppose 11 = 2*f - 1. Let i be j(f). Let z = i - -207\/4. Which is the closest to -0.1? (a) -4\/7 (b) -1\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -294, -702, -1300, -2094, -3090, -4294, -5712?\nAnswer: -7350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 886, 3407, 7566, 13363, 20798?\nAnswer: 29871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11121492 by -8.\nAnswer: 2780373\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 10*r + 15. Let k be b(8). Suppose 8*s - 9*s = -4. Sort s, k, -3.\nAnswer: -3, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1. Let f(m) = 3*m + 8. What is -f(y) + 6*i(y)?\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - 6*i)*(152 - 152 - 13*i**2).\nAnswer: 91*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-10)\/150 - (112\/(-36) - -4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2111888514.5168 from 6.\nAnswer: -2111888508.5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/5 - 16*r**4 - 2136*r**3\/5 - 20998*r**2\/5 - 59303*r\/5 - 40362\/5 = 0.\nAnswer: -31, -14, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1747 times 2\nAnswer: 3494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -916 (b) -0.42 (c) 3\/2 (d) 4\/5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2860217 - -76062\nAnswer: 2936279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -520.6 - -469. Let j = z - -52. Which is the smallest value? (a) -0.4 (b) j (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 62*j**2 - 7*j - 67. Let m(o) = -103*o**2 + 12*o + 108. Calculate -7*m(y) - 12*s(y).\nAnswer: -23*y**2 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1160 - -1190. Calculate the highest common divisor of 710 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 25. Let f(r) = -13*r + 115. Let l(q) = 33*q - 285. Let k(x) = 12*f(x) + 5*l(x). Let b be k(d). Calculate the highest common divisor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -1)\/((-4)\/48*-8). Let t = -121 + 123. Let x be (-2 + t + -4 - -3) + -3. What is the second biggest value in 3\/7, x, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 223127 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.4? (a) 6\/25 (b) -3 (c) 3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/18 and -35\/3534?\nAnswer: 10602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -7)\/((-5)\/(-15)) - 10\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 44302 (base 5) to base 9\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + (44 - 17) + (-25)\/5?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27826855*k**4 - 64575*k**2 - 21*k wrt k.\nAnswer: 667844520*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 0*v - 1\/2*v**4 + 2\/15*v**5 + 6 + 4\/9*v**3 + 0*v**2. Find s such that a(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*n + 636 = -438*n + 215*n. What is the remainder when 225 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 9 = 0. Suppose 9*i - 84 = s*i. What is the greatest common divisor of 112 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 32585752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21 + 22)*(1 + 32). Let d = l - 31. Solve 3*f + 12 = 0, -18 = -d*u + f + 2*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w**2 - 10*w - 5. Let z be v(-3). Let a = z + 115. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 1063 = 1170 - 2352 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.35249 - -0.0127591522\nAnswer: 0.3652491522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + y. Let q be g(-6). Suppose 5*a = -4*i - 6, -5*a + q = i - 6*i. Differentiate -a*m + 3*m + 2*m - m - 3 wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 133599246371.3?\nAnswer: -133599246371.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503413 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 x = -0.0405 - -0.0705. Which is the closest to x? (a) 0.2 (b) 2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 17*b**2 - 17*b - 15. Let l be s(18). Is 38*(2 + (-119)\/(-2))\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-403 + 403 + 27*t)*(0*t - t + 0*t) to the form k + m*t**2 + b*t and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -302 + 302. What is the remainder when 3 - (g + 4 - 6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11353430 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 349 + 62*h**2 + 316*h**2 - 352 as q + r*h**2 + o*h and give r.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 4*x - 5. Let k be a(-4). Let u be 49\/7 - (1 + -3). Let y = k + u. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/19 (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231412 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4821.7 plus 35772?\nAnswer: 40593.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/6)\/(-2 + 4). Suppose -x + 5*x - 28 = 0. Let s be -2 + (x - (-3)\/(-3)). Sort -5, s, y.\nAnswer: -5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1 + -5)*((-6)\/(-620))\/((-1938)\/3230)?\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13954?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 46 - 46)*(-47 + 44 - 6*m + 10*m**2 - 27*m**2).\nAnswer: -51*m**3 - 18*m**2 - 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1682*s**2 - 696*s + 72.\nAnswer: 2*(29*s - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 788 - -314. List the prime factors of j.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v**2. Let w(g) = g**2 + 3*g + 2. Let h be w(-3). Let p(k) = -41 - 31 - h*k + 72. Determine p(b(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 13104*z + 13107.\nAnswer: -3*(z - 4369)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -21*l**2. Let g(x) = 2*x**2 + 2*x. Let q(k) = g(k) + i(k). Let j(n) = 18*n**2 - 3*n. Determine 2*j(v) + 3*q(v).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94678 - -166249. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811130 is divided by 761.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooocoooooooc. Give prob of picking 2 o and 2 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131814*p**4 - 2324*p - 5.\nAnswer: 1581768*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2487 + -2493. What is the nearest to 1\/4 in -2\/3, -3\/7, h, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1644 * -0.18\nAnswer: -295.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/((-19)\/(-152)*12). What is the nearest to -0.02 in -42, d, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + m**5 - m**2 + (0 + 0 - m)*(2*m**4 - 5*m**4 + m**4) + 2*m**5 + 0*m**4 + 0*m**4 - 47*m**2 + 83*m**2 + 311*m**5 - 36*m**2.\nAnswer: 316*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = 8*r + 88. Calculate the lowest common multiple of r and 3\/(-2)*440\/(-30).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 1, -10, 1\/3, -49, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -497 + 497 + 15*u. Let g(p) = 7*p. Let m(l) = 19*l. Let j(k) = 8*g(k) - 3*m(k). Calculate j(y(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1088318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1257332 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 13. Let r be t(-14). Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59339 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -38*k - 211 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2034 (b) -1 (c) -2\/9 (d) -0.7 (e) 2\/49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Calculate the common denominator of p + -1 + 404\/(-16) and 30\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.2992852 to three dps.\nAnswer: 30.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30.856 - -31. Let s = -1671919.1 + 1671919.24399929. Let d = f - s. Round d to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 15 = -5*r, 0*r + 3*i = -3*r - 9. Let t be 345\/(-27) - (-2)\/(-9). Let p = t + 53\/4. Are p and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5200345 is divided by 1613.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(0 + -2 + sqrt(3388)).\nAnswer: -6 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -10\/9, 0, 1, 2, -0.1 in descending order.\nAnswer: 2, 1, 0, -0.1, -2\/5, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (171\/95 - 18\/10)\/((-5)\/1). Solve 4*b - 26 + 10 = q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 17. Let b be q(0). Let d = 12 + b. Let r(a) = -2*a. Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.3?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 906 and 1?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-56) + 1192\/64. Suppose -u*f = -9*f - 11090. What are the prime factors of f?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40830 rounded to the nearest one thousand?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -1\/5, 13, 34008.3 in decreasing order.\nAnswer: 34008.3, 33, 13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**2 + 2*v + 5. Let q(y) = y**2 + 1. Let r(f) = -g(f) + 6*q(f). Let s = 304 - 352. Let x be (-12)\/(-32) + 114\/s. What is r(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 22 (c) -2\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/553 + 557\/1106. Which is the smallest value? (a) z (b) -3.2 (c) -1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*p - 5*z, -5*p + z + 31 = 0. What is the units digit of (p - 1) + -2 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b*g**4 + 2*b*g + 84*b - 23*g**4 + 3*g**3 - 20*g wrt g.\nAnswer: -48*b*g**2 - 276*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let r(g) = 5*g. Let p(f) = -16*f. Let k(v) = 6*p(v) + 17*r(v). Give k(i(j)).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 minus -45774396?\nAnswer: 45776806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.887972 rounded to two dps?\nAnswer: -219.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/4 + (118\/4 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42813, 42811, 42809, 42807?\n\"Answer: -2*g + 42815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 3. What is the units digit of a(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 16 + 473*f - 52 + 16.\nAnswer: 473*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378*b**5 - 6050*b**4 + 5*b**3 + 15692706*b - 1.\nAnswer: 7560*b**3 - 72600*b**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/13)\/f**0)\/(f**(-1\/3)\/(((f\/((f**(-1\/3)*f)\/f))\/f)\/f*f)))\/((f**(-1\/4)\/f*f)**(12\/13)*f**6\/(((f\/(f\/(f\/f**(-4))))\/f)\/f*f*f)) assuming f is positive.\nAnswer: f**(-10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -30. Calculate the highest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*d*v**2 - 2*d*v*y**3 - 25*d*v*y - 58*v**2*y**3 + 68*v*y**2 + 6*y + 1 wrt y?\nAnswer: -12*d*v*y - 348*v**2*y + 136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 832238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 12) to base 11\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 901692793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 23*o**2 + 31*o - 2. Let w(q) = 63*q**2 + 93*q - 7. What is -7*r(d) + 2*w(d)?\nAnswer: -35*d**2 - 31*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 111*l + 7. Let i(t) = 63*t + 4. Let x(a) = 4*d(a) - 7*i(a). Let b(r) = -10*r**2 - 36. What is x(b(c))?\nAnswer: -30*c**2 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*r - 3*o, -124 + 112 = -o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 36 - 15 = 0. Suppose 5*d = -2 + i. Find the third derivative of -2*k**d + 5 + k**2 - 5 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -8. Let k be 10 + 0 - (-2 - -2). Let v = k + -7. What is the least common multiple of v and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7063578 - -27?\nAnswer: -7063551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u**2 - 36*u. Let v be z(-5). Suppose -v*h = -4*c + 86, -c + h = 3*h - 28. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1 + 88\/72. Let w = 4\/9 + h. Factor -4\/3*s**4 + 0 + 2\/3*s**5 - w*s + 0*s**3 + 4\/3*s**2.\nAnswer: 2*s*(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3292020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-5 - (1 + -1)) + (499 - 443)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 2?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*sqrt(52).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 n when four letters picked without replacement from {n: 2, w: 2, p: 1, v: 2, t: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millisecond in microseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1118 + 1118. Put -5, 13, -1, i in ascending order.\nAnswer: -5, -1, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115851, -926634, -3127353, -7412976, -14478471, -25018806?\nAnswer: -39728949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 0 - 1\/20*n**5 + 2\/3*n**3 + 3*n**2 - 12*n + 0*n**4. Let b(u) = u + 1. Give -6*b(p) + k(p).\nAnswer: -p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/26 and -71\/390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22793.6483 - -22795. Round x to 2 decimal places.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189*u**2 - 3*u**3 - 42916 + 42909 + u**3 - 47*u wrt u.\nAnswer: -12*u + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151507, 303031, 454555?\nAnswer: 606079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1246*m - 407*m - 7126*m - 10322*m.\nAnswer: -19101*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 598 = 62. What is the remainder when d is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4 = -2*b + 17, -2*s + 2*b = 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 286, 193, 46, -155, -410?\n\"Answer: -27*o**2 - 12*o + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1167, -2318, -3465, -4608?\n\"Answer: 2*t**2 - 1157*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:52 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:35 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57.098 - -0.098. Let k = 17.5 + o. Round k to zero dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563925993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.06887597 times -3?\nAnswer: -15.20662791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4382187?\nAnswer: 3, 1460729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzzcxccmjzz. What is prob of sequence xc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**2\/2 + 3*n + 199. Calculate l(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 26996619?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -280 or -259?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -1\/59, 2\/547 in decreasing order.\nAnswer: 2\/547, -1\/59, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/504*(4851\/(-275) - -15) - 8\/(-10)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2)*6)\/(-1*sqrt(192)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 - -183. Sort q, 0.3, -3, 2\/7 in decreasing order.\nAnswer: 0.3, 2\/7, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b**2 + 2. Let r be n(0). Suppose -l = g - 54 - 82, g - 127 = r*l. Is g a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14202 and 1269.\nAnswer: 667494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 24 = -3*z, -9*z + 4*z = 4*b - 59. Let c(i) = -i - 5*i + 1 - 3*i. Let t be c(-2). Solve -l + 3 = -n + b, 3*n = 2*l + t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 41976789.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415.618nm in centimeters?\nAnswer: 0.0002415618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k = -5*n - 19, k - 4*n - 11 = 0. Let d = k + 2. Let o = -1 + d. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 27.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.998 + -0.002. Let u = a - -33. Put -3, -0.4, -1, u in increasing order.\nAnswer: -3, -1, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5007 is divided by 1001.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -503*v**3 - 2*v**2 + 1. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 smaller than -3472\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*1\/(-10)*-9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -0.1 (c) 1\/2 (d) -4\/7 (e) 2 (f) 54\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 64887*w**3 + 129809*w**3 - 64889*w**3 - 2 - w. What is m(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43715572 to 3 dps.\nAnswer: -0.437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.8 + 6.8. Let k = -1.654 - -1.454. Which is the closest to -1.2? (a) k (b) 2\/19 (c) x (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/507906 and 73\/8.\nAnswer: 2031624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 64*k + 6. Let s be o(14). Suppose -s = -4*x + 3*g - 249, -5*g = -2*x + 337. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 39*t + 1019. What is the units digit of p(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 4556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/60 - 5*o**4\/24 - o**3\/2 + o**2. Suppose -15*t = -10*t - 2*l + 11, t - 7 = 5*l. Calculate b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 356 and 1068.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12854.\nAnswer: 2, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30228, -242309, -817952, -1938939, -3787052, -6544073?\nAnswer: -10391784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 455 + 33?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 - 14*d**2 + 9*d**2 + 4*d - 1 + 7*d**2 as g*d**2 + f*d + a*d**3 + q and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 32, -2, 5, 0.4, -3 in decreasing order.\nAnswer: 32, 5, 0.4, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 30.15. Let i = -5 + p. Let f = i + -0.25. What is the third biggest value in f, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 1, c: 1, h: 1}. What is prob of sequence jhp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - -0.22. Let w = 16\/1381 - 4175\/2762. What is the second smallest value in -1, 1, d, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -2\/7, 1\/5, -4\/3, -3\/7, -10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10378944 and 3646656.\nAnswer: 134926272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58272012731\/9510916240 + -264\/1806785. Let i = f + 20\/329. Calculate the common denominator of (-10)\/120*(281\/4 + -2) and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x + 90055 - 325239. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1. Let j(d) = -2*d**3 - 4*d**2 + 7*d - 4. Let b(s) = -j(s) + 5*q(s). Give b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g - 73*g + 2432752 = 0. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(497\/(-28) + 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.23998 litres to millilitres.\nAnswer: 9239.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2393 is divided by ((-282)\/(-4))\/((-90)\/36 - -3)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/28 - (65 - 6939\/108)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8903*g + 106843. Give j(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*n + 26*n - 139 + 31*n + (1 + 0 + 2)*(2*n + n - n) to the form w + o*n and give w.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(-1 - 3 + 3) + 5*g - 3*g - 4*g - 2*g + 1 - 1 + 0*g + 4*g - 6*g + 5 + 3*g - 5 + (-1 - 2 + 2)*(5*g + g - 3*g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 2*g + 6. List the prime factors of 90\/(-12)*g\/(-9).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2320.9 in 1, 58, -4?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 214*g = -205*g - 72, 3*s + 3*g = 24. Put s, 5, 79, 3 in descending order.\nAnswer: 79, 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n - 6. Suppose n*a = 2 + 50. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3*d + 792 = 717, 4*x + 3*d + 33 = 0 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32 + 1325)\/((-2)\/(-6)). Let n = a - 65919\/17. Factor -n*v - 12\/17*v**3 - 2\/17*v**4 - 26\/17*v**2 - 8\/17.\nAnswer: -2*(v + 1)**2*(v + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -14 - 1. Suppose f + v*f + 36 = -4*d, 2*f - 3*d = -18. Let z = 5 + f. Put -3, 3, z in increasing order.\nAnswer: z, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72547.903 + 72588. Let m = f - 0.097. Let y = -40.4 + m. Put y, -0.13, -0.2 in ascending order.\nAnswer: y, -0.2, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/2033586 and 14\/715521.\nAnswer: 38638134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6 and 93\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ododojjdooojo. What is prob of sequence jo?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21435892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:26 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 3 (b) 4\/7 (c) 7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -1111?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43749 divided by 2.\nAnswer: -43749\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1668, 2, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x - 17. Let k(v) = 2*v + 18. Let u(y) = 3*c(y) + 4*k(y). Let l be u(18). Let n = 5 + -1. Solve -4*f - n = 0, -l*p = -6*p + 5*f + 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/17, 4.03, 4\/5, -9, -1\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2358087 to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 30*z - 307. Calculate a(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 15, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 950.12 - 950. Let k = 0.6 + -0.1. Which is the second biggest value? (a) -0.5 (b) 0.2 (c) l (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or 544?\nAnswer: 544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173328 divided by -14444?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -51145923*q**2\/4 + 371610*q - 2700 = 0. What is q?\nAnswer: 60\/4129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, h: 5}. Give prob of picking 1 h and 3 a.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*b - 1 - 30, 0 = -655*b + 659*b + 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23002 - -123?\nAnswer: -22435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297478331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-9 + -3 - (11 - (26 - -1))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 34*k - 3. Let r be c(2). Let i = r - -10. What is the highest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2338227 times 0.5\nAnswer: 1169113.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 244, 466, 1038, 2134, 3928?\n\"Answer: 29*k**3 + k**2 + 16*k + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1456 and 234.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 5*y**2 + 4*y + 4. Let n(k) = -k**3 - 7*k**2 + 9*k + 12. Let d be n(-8). Let h be s(d). Solve i = h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -141557.9.\nAnswer: -70778.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, b: 6, r: 7}. What is prob of picking 2 c and 2 r?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 102 = w - 3*w, -4*w - 16 = 0. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -8 in increasing order.\nAnswer: -8, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, n: 1, d: 1, h: 5, r: 2, w: 5}. Give prob of sequence hd.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -711, -693, -663, -621, -567?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*c - 1920 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2616\/(-120) + 22)\/(1\/2). Sort 843, -4, g, 1.\nAnswer: -4, g, 1, 843","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 111?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53 or 163\/3?\nAnswer: 163\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -252.673866?\nAnswer: 257.673866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19, -19\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54247*f**5 + 93*f**3 + 10067096*f**2 wrt f?\nAnswer: 3254820*f**2 + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {j: 2, f: 1, x: 1, n: 4, i: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.64 - -5.44. Let w = -205 - -201. Which is the third smallest value? (a) 2\/3 (b) w (c) i (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5567.\nAnswer: 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**4\/12 + y**3\/6 + y**2\/2 + 16*y. Suppose -10 = -2*i - 4. What is a(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**4 + 6*d - 5*d + 0*d + 59*d**3)*(-196 + 67 - 101) in the form i*d + m*d**3 + l*d**2 + s + r*d**4 and give i.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 61.02. Let z = q + -4. Let g = z - 2.02. Which is the biggest value? (a) 1\/7 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s - 607672*s**3 + 53*s + 607695*s**3 + (-6*s**2 + 3*s**2 + 2*s**2)*(3*s - 5*s + 3*s) in the form v*s**2 + m*s + u*s**3 + z and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**11\/l*l)\/l*l)**19)**42 assuming l is positive.\nAnswer: l**8778","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxff when four letters picked without replacement from {f: 1, t: 10, p: 4, x: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 20.3. Let w = m - 3.3. Which is the closest to 0? (a) -1\/4 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144107910 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101135, 202219, 303311, 404411, 505519?\nAnswer: 606635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwfwwdwwwwwd. What is prob of sequence dfw?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*i = -156. Let m = i + 29. Suppose 6 = r + 2*r - 2*w, -2*w + 6 = m*r. Solve r*j = -l, 3*j = -2*j + 5*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 600553.7 micrometers?\nAnswer: 0.0006005537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 + 25*b. Let l(k) = -2*k**2. Calculate v(l(x)).\nAnswer: -16*x**4 - 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3284*y + 2430*y as i + a*y and give a.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86816880 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12470 + 12485. What is the closest to 0.3 in -1, -4\/7, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -7\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -85.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1524055 is divided by 935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -168\/25?\nAnswer: -168\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78533, -78536, -78539, -78542, -78545?\nAnswer: -78548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 + 157. Calculate the remainder when p is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1632.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-188)\/(-10) + 1\/5.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a decade in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -392*f**5\/5 + 3349192*f**4\/5 + 7178134*f**3\/5 + 4324216*f**2\/5 + 512758*f\/5 + 17092\/5 = 0?\nAnswer: -1, -1\/14, 8546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 571*l**3 - 571*l**3 + 452*l**4 - 97*l**4 - 323 wrt l.\nAnswer: 1420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + u + 1)*(2*u + u - 2*u)*(2091*u**2 - 2972122*u + 2972122*u)*(-u + 2 - 2).\nAnswer: -2091*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 0*j**3 + j**2 - 1\/30*j**5 + 0 + 0*j**4 + 0*j. Let d(i) = -4*i**2. Give f(d(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 10:35 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 260500 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/140)\/(3\/5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**4\/12 + m**3 - 9*m**2\/2 + 6*m. What is the remainder when q(-10) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2960 and 101\/3552?\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -497969 divided by -3?\nAnswer: 497969\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -650, -975, -1300, -1625?\nAnswer: -1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q - 7. Let y(k) = 2*k**2 - 9*k - 13. What is 5*r(g) - 3*y(g)?\nAnswer: -g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uggugugggggguggguug. Give prob of picking 1 g and 1 u.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - 34?\nAnswer: -34.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*p**3*t + 218*j**2*p**2*t - j*p**2*t - 3*p**3*t + 35*t wrt j?\nAnswer: -2*p**3*t + 436*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -3*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 f when four letters picked without replacement from iuifiuuiui?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(-3*s**2 + 2*s**2 - 3*s**2) + (11*s + 48*s + 138*s)*(-s**2 + 2*s**2 + 2*s**2) + 0*s**3 - 5*s**3 + 4*s**3.\nAnswer: 586*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -61561, -246273, -554123, -985111, -1539237?\n\"Answer: -61569*b**2 - 5*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*-0.017518\nAnswer: 0.08759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -3*m**5\/4 + m**4\/12 + m**3\/6 - 2*m**2 + 148*m. What is u(-1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36571929157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/(2\/48). Suppose -8 = -4*g + c. Let k(j) = 3*j - 6. What are the prime factors of k(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddydddkddddddd. Give prob of sequence kd.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 23*q. Let z(r) = -285*r - 79. What is z(k(t))?\nAnswer: -6555*t - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 0 - 13 + k**2 - 3*k + 0*k. Let a be l(5). Let s(v) = 34*v**2 - 2*v - 2. What is the hundreds digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - (-2 + 2)\/(-3). Let h(a) = 6 + 6*a + 0 + 0 - 3*a. Give h(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*d - 602652 + 602652.\nAnswer: 414*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -135700 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-24)*(-87)\/(10962\/840)*2\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 5. Let v = -1 + 7. Let q(b) = b - 4. Let t(l) = v*q(l) - 5*j(l). Let u be (-10)\/(460\/3174*23). Calculate t(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a + 30. Let t = 30 + -27. Suppose -12 = -u - f, 7 = -t*u - f + 35. What is the least common multiple of u and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*z - 12213 = 179*z. Calculate the greatest common factor of 118 and z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**3 + 6*m**3 + 25*m**3 - m**3 + 2*m**3 - 3*m**3 + (-5*m + 2*m + m)*(m + m**2 - m) in the form z*m + k*m**3 + y*m**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-404*485\/1552*74\/185.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -578, -3, 1, 13 in ascending order.\nAnswer: -578, -13, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 75 = 91, 4*s = 3*n - 3872. What is the greatest common factor of n and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.041 + 5.559. Let j = -0.4 - q. Let p = j - -5.6. What is the third biggest value in p, 0.2, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*j + 215. Suppose 20 = -4*x, 5*a - 3*x - j = -0*a. List the prime factors of a\/(-4) - (-3843)\/36.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/438067 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-6) + (8\/(-6))\/2 - -4874.\nAnswer: 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7 + 12 - 6. Let f(w) = w - 3. Determine 2*f(i) - 5*l(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 11:28 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302922 is divided by 1078.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56048 and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 2. Let s be l(-2). Suppose s = -5*j + j + 16. Is (0 + 0 + 2)*j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -151, -204, -277, -370?\nAnswer: -483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31915601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -109529040 divided by 8\nAnswer: -13691130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b)**(-48\/7)*(b*b\/(b\/b**7))\/b*b\/(b*b\/(b*b\/((b**(-2\/17)*b)\/b)*b))*b)**(6\/19) assuming b is positive.\nAnswer: b**(-12360\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1217179, -1217900, -1218621, -1219342?\nAnswer: -1220063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 67. Let f be s(19). Let u(t) = t**3 - 5*t**2 - 5*t - 5. Let r be u(6). Find the first derivative of -w**2 + 0*w**2 + r - f*w**2 wrt w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/7 - 6280\/70. What are the prime factors of 2*y\/(-4) - 3?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z = -43 - 62 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -5*u**9\/168 - 5*u**8\/336 + u**5\/60 - 3*u**3 + u**2 - 7*u. What is the third derivative of o(m) wrt m?\nAnswer: -1800*m**3 - 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q - 5 = 0. Let n(o) = -8*o + o**3 - q*o - 6*o**2 + 19 - 6*o**2 - 14*o. Is n(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 + 46 = 4*c. Suppose 10*w - 15*w = -c. Calculate the greatest common factor of w and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -5. Suppose -4*n = d - 223, -7*n - 992 = -4*d - 3*n. Let m = 249 - d. Put -2, m, 5, c in ascending order.\nAnswer: -2, c, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.28 (b) 1\/5 (c) -1.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53410 + 163606?\nAnswer: 110166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111020 (base 4) in base 8?\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 - -0.22. Let y = -373.633 + -0.367. Let r = 375 + y. Which is the nearest to -1? (a) -0.1 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*n + 16, 3*g + 11 = 4*g + 3*n. Is g greater than 228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 11*b**2 - 6*b + 82. What is f(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 695.1465cm in micrometers?\nAnswer: 6951465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(272) - ((sqrt(272) - sqrt(272)*3) + -4)) + 2)**2 + (0 + sqrt(272) + 0 - 6*(sqrt(272)*-1)**2).\nAnswer: 148*sqrt(17) + 853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 2 = 3*t - b, -5*t + 2*b = -4. Put t, 6, -2\/3, 0.5 in ascending order.\nAnswer: -2\/3, t, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqpn when four letters picked without replacement from {o: 7, p: 2, n: 5, q: 3}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34986, 34455, 33924, 33393, 32862?\nAnswer: 32331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374\/33 + -5 + -4?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 7*k**2 + 4*k + 4. Let a be (4\/3)\/(1\/(-3)). Let y be p(a). List the prime factors of y\/4*4\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2 + -1 + (-5)\/(-1). Suppose 4 = 2*y - 4*y - 2*h, -23 = -y + 4*h. Suppose 297 = y*w + 105. Calculate the highest common divisor of n and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + -2*sqrt(7) - (sqrt(7) + -1 + sqrt(28)\/sqrt(4))))**2*-4.\nAnswer: -512 + 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (52\/39)\/(2\/9). Find the third derivative of -2*v**2 + p*v**3 + 0*v**2 - 7*v**2 + 3*v**2 wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/5)\/((-4)\/20). Let c be (n\/(-189))\/(18\/14). Sort 0.4, -0.2, c in ascending order.\nAnswer: -0.2, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4977747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -687 + 1215*z - 3418*z + 1071*z with respect to z.\nAnswer: -1132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 6\/(-21) + (-400)\/105*-30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q**2 + 33*q + 7. Let v(p) = 4*p**2 - 16*p - 3. Let y(s) = -2*n(s) - 5*v(s). Let c be y(7). What is the greatest common divisor of 5 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2177 and 26?\nAnswer: -56602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/17)*o**(-13) assuming o is positive.\nAnswer: o**(-223\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 20. What is the third derivative of 13*b - z*b**3 - 13*b + 4*b**2 wrt b?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/20 + v**4\/8 - 2*v**2. Find the second derivative of r(q) wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1898, 7391, 16542, 29351?\nAnswer: 45818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + k**2 + (-618 + 2*k**2 - 20*k + 618)*(1 + 1 - 3).\nAnswer: -k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u + 3*g = -21, -3*u + 31 = -5*g. Suppose u*p = 7 - 5. Let x(d) = d**2 - 5*d + 5. Let f be x(5). Sort p, f, -4.\nAnswer: -4, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 6. Let n(l) = -l**3 + 2*l**2 + 3*l - 4. Let k be n(t). Let h(a) = a**2 + 4*a. Let o be h(k). Solve 0*u = u + 4*v - 7, o = -u - v + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 1) + (-19 - (22 + (-86 - -16) + 23))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**2 + 28*i**2 + 28*i**2 + 6*i**2 to the form q + o*i**2 + r*i and give o.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*t - 23 = 100 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -937837.16?\nAnswer: 937836.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2*-7833088\nAnswer: 15666176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.28621 to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 2520270.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 327684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6624 divided by -1104\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 + -14375?\nAnswer: -14371.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13339537 and 2434?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(((-1*sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(7)))\/((sqrt(324) - (sqrt(324) - sqrt(324)*-2)) + sqrt(324) + sqrt(400)*-2 + sqrt(4)).\nAnswer: sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.22 + 0.5. Let w = 4.78 - c. Let b = w + -4.500054. Round b to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.04 (b) -4 (c) 5 (d) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -31*d**2. Let l(u) = 11*u - 13*u - 8 + 8. Calculate l(b(w)).\nAnswer: 62*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 5*w + 2. Let k(i) = -3*i**2 - 4*i + 1. Let a(p) = -3*k(p) + 4*v(p). Determine a(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y + 8. Let v = 11 + -7. Suppose 2*s + 0*s = t + 9, -t + v*s = 17. Let w(i) = 1. Determine t*g(r) + 6*w(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 15. Let z be 3\/(w*2\/(-22)). Solve 0 = -s, -3*q - 2 = -4*s - z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let l(t) = -t + 18. Let i(o) = 172*o + 91. Let b(r) = -i(r) + 5*l(r). Determine b(a(s)).\nAnswer: -177*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1)\/(-7) + 0). Suppose 2*x + b = 1. Let n = 4 - x. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234400608 and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4742 rounded to 2 dps?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + 4*y + (0*y + 0*y + 2*y)*(-4 + 0 + 5).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.5, -29, -4, -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281809?\nAnswer: 11, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 338 - 13. Let w = 98 - g. What is the least common multiple of w and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) + sqrt(88)*3))*1)\/((sqrt(288) - 3*sqrt(288) - sqrt(288)) + sqrt(288)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 20. Let s = 4364 - 4359. Sort 4, r, s in decreasing order.\nAnswer: s, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.043 - 7.843. Let c = 4.00254 + 0.99746. Sort 4, c, l, -0.4 in descending order.\nAnswer: c, 4, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1436, -7233, -17390, -31907, -50784?\nAnswer: -74021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -0.4, 98 in descending order.\nAnswer: 98, 15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -5 (c) 0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o - 14 - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-10))\/(2\/40). Let u(t) = -t**3 + 16*t**2 - 2*t + 35. Let b be u(q). Solve -j = m - 2*m + 1, 5*j = b*m + 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 9804*d + 9800.\nAnswer: 4*(d - 49)*(d - 1)*(d + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -4. Suppose 10*h + 42*h - 7*h = -54*h. What is the nearest to -2\/3 in h, g, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -20. Let r = z + 26. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.008 (c) 154 (d) 2\/7 (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -430, -651, -896, -1177?\nAnswer: -1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-16 - -18)) + 1 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 - -5 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 524847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/14 and -35\/66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 17 = 5*n, -9*n + 12*n = 3. Let i = 1 - 1. Calculate the least common multiple of 6 and -2*(-3 + i) - q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5791549.\nAnswer: 5791549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-35) - 4)*5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.167227 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 14)\/(260 - 7977968\/30694).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76334 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:59 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 7*d**2 + 4*d + 7. Let r be o(-7). Let q = r - -18. What are the prime factors of (67 + q)\/(1\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 7*c = -9. Let r(z) = -2*z**3 - z. Let j be r(c). What are the prime factors of 3\/(13\/j + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * 80320.\nAnswer: 11244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 50 + 26 = 4*a, -4*a - 2*c = 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - l - 4)*(5 + 6 - 1)*(-l + 5 - 5) in the form u*l + m*l**2 + h and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuhn when four letters picked without replacement from {n: 1, x: 1, u: 1, z: 2, h: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1373300 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 405, 477?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdmbbzvbbvbdddc. What is prob of picking 1 z, 1 c, 1 v, and 1 d?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 8*n - 5. Let l be v(-5). What is the least common multiple of 7 and 8\/6*15\/l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718 = -78*t - 68 + 62 + 302 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*d*d**(1\/2))\/(d**2*d**(1\/3)) assuming d is positive.\nAnswer: d**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/770 - 146\/84.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184872, 185035, 185208, 185397, 185608, 185847?\nAnswer: 186120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*j + 1 - 4*j + 18*j**2 + 8*j - 10 + 7 wrt j.\nAnswer: 36*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j = 5*y - 20, -60*y + 40 = -115*y + 58*y - j for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 40276773?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.09779 - -0.90221. Which is bigger: -75.5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68471 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -34*a - 5. Let v be ((-20)\/(-25))\/((-3)\/30). What are the prime factors of d(v)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 124 - 196 = 0. Let x = -40 - l. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455329*-142.\nAnswer: 64656718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, a: 3}. Give prob of picking 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = y - 0*k - 9, -5*y - 1 = 2*k. Let s be (y - -3)*21\/14 + -2. Which is the second biggest value? (a) s (b) -2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 4*a - 2. Let s be w(-2). Suppose 5*l + 42 = s. Let r be 6 - (l\/4 + 3). Solve 0 = -4*q - 3*k - 12, r*k = -2*q + 5*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 168*o - 16257. Determine t(95).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 4, r: 8, l: 1, s: 1}. Give prob of picking 1 i, 1 s, and 1 r.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1208 = -4*i + 2*h, -7*h + 4*h - 912 = -3*i. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:34 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 - 2*p**2 + p + 1. Let q(k) = 4*k**3 + 3*k**2 - 2*k - 1. Let a(l) = -2*l - 6. Let y be a(-4). Let f(t) = y*q(t) + 3*c(t). Calculate f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 20.0000004. Round f to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 19 + 13. What is the smallest common multiple of 2 and (-2)\/((12\/d)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*p**2 + 0)*(2*p - p + p) + (-1061*p**2 + 2343*p**2 + 1337*p**2)*(2*p + 0 + 0) as r*p**2 + a*p**3 + h + c*p and give a.\nAnswer: 5234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 7727.\nAnswer: -77.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) 0.2 (c) 31 (d) 1\/2 (e) -0.3 (f) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, 50, -0.029, 9\/16?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*m + z, 6 = -4*m + 4*z - 2*z. Let c be m\/(-1) - (-1 + 0). Solve c*p - 4 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 4:24 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20343, 20376, 20409, 20442?\n\"Answer: 33*z + 20310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 4*m**2 - m)*((-3*m + 3*m - m)*(0 + 4 - 6) + 3*m - 6*m - m) to l + b*m**3 + p*m + s*m**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162409676.\nAnswer: 2, 11, 13, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/6)))**29*((u*u*u**9*u*u*u)\/u*u)\/u*u\/u**(-9)*u*u assuming u is positive.\nAnswer: u**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/24 + (-4)\/(192\/(-18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22. Find o such that -9*o + 8*o + i*o**2 - 3*o + 2*o**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1888582 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17 (b) -1\/4 (c) 2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/(-40))\/((-6)\/(-8)))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8707269*s**4 - 3422988*s**2 wrt s.\nAnswer: 208974456*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - 1.8. Let d = -1.3 - s. What is d rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-662 + -4))*-1. Let k = o - -1694. What are the prime factors of k?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iioccciccico. What is prob of sequence ci?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) -38\/15297 (c) -52 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b + 3. Let i be z(-2). Let m be (2\/(-6)*1 + 0)*0. Suppose 0 = -3*v + v + 10. Solve -f = y + i, -y - v = -m*f - f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-3)\/((-252)\/(-12)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t. Suppose -10 = -2*y - 3*y. Suppose -4*a - a - 5*m + 30 = 0, 0 = -4*a - y*m + 20. Let s(b) = -b + 4 - a. What is k(s(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -25, -4*r - 279 - 346 = -3*k. Let a = r - -358. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/10 + 1 - 36\/60. Is (-4 - -5)*(-716)\/f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1331 - 1?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2702762 or -2702774?\nAnswer: -2702762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131 - -11?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*t - 23392 = -219*t for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.65814 to one decimal place.\nAnswer: -45.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(484)\/sqrt(2).\nAnswer: -4 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -166175 divided by 23?\nAnswer: -7225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drdd when four letters picked without replacement from {r: 4, w: 6, p: 1, d: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 44, 89, 1, 46, 5 in ascending order.\nAnswer: 1, 5, 10, 44, 46, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - k. Suppose k*m = m. Which is bigger: m or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/1798)\/((-210)\/280).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 85. Suppose -h + 18 - 3 = 0. Calculate the remainder when o is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3*v - 2)*(3 + 5 - 5)*(0 + 2 - 5) to j + y*v and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/((-9)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57.2 in 1\/20, -0.09, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + (5 - 15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 57 = -3*f, 2*f - 3*f = -3*z + 187. Suppose 0 = -3*p + z + 378. What is the greatest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ca (base 15) in base 11?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose 0*q - 66 = a*q. Does 11 divide 2\/(-3 + (-68)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 6*x**2 + 5*x - 9. Let g be f(6). Let y = -17 + g. Find the second derivative of 3*v - 65*v**3 + 65*v**3 + 7*v**y wrt v.\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 6:14 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k, 4*c - 6*c - 2*k + 18 = 0. Suppose -46 = -3*q - c*x, 5*q = 3*x + 62 + 26. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-12))\/((-1)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104856 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 2*f + 105. Let t be ((-9)\/f)\/((-5)\/25). Solve -r - 6 = -t*n - 0*n, -4*n = r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/36, 1\/2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Which is the third smallest value? (a) -0.01 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**7\/840 + z**6\/24 - 5*z**5\/12 + 53*z**2. What is m in b(m) = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18329*d*p**3 + 2*d*p**2 + 8*d*p + 2*d + 2*p**3 + 4492583*p wrt d.\nAnswer: -18329*p**3 + 2*p**2 + 8*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/10 of a millisecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13183 = 1104*x - 91135 - 26276 + 8180 for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dh when two letters picked without replacement from {l: 5, h: 1, q: 1, m: 4, k: 1, d: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 7. Let c = -2 - -7. Let r be s(c). Solve 2*p = 6*p - r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 4*b + 3*b - 8*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502678 is divided by 462?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.2676718 grams?\nAnswer: 267671800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4371510*h**4 - 8876163*h**3 + 266244*h**2 + 84*h = 0.\nAnswer: -7\/22418, 0, 2\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -61e?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-1)\/(-3))\/(9\/(-27)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 399517289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 26*j**2 - 34*j - 1. Let u be r(-5). Let l = u + 1168. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -853398*q. Let h(w) = 3*w + 1. Give a(h(r)).\nAnswer: -2560194*r - 853398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 divided by -1969?\nAnswer: 455\/1969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76354288177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 31 = q + 2*i + 24, 3*q = 2*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -183456, -733846, -1651166, -2935416?\nAnswer: -4586596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12245\/29, 0.1, 5\/2 in increasing order.\nAnswer: -12245\/29, 0.1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 - 5*h**3\/6 - h**2 - 3*h. Let w be 4 + (3 - 4)\/(-1). Give t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*a + 1055 = 145*a - 67. Solve a*o + l = 2*o - 10, -3*o + 5*l + 4 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12843 and 140.\nAnswer: -17.9802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*i + 4*j - 0*j, 2*j - 5 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5330797?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830*m + 810*m = -62860. List the prime factors of m.\nAnswer: 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -220790, -220795, -220804, -220817, -220834?\n\"Answer: -2*f**2 + f - 220789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3585 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 15*t + 12. Let y be v(-15). Suppose -5*f = -14 - 11. Find the third derivative of -8*o**2 + 11*o**6 - y*o**5 - o**2 + 12*o**f wrt o.\nAnswer: 1320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 10:58 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -127.6 (b) -5 (c) -0.2 (d) -4 (e) 0.6 (f) 5 (g) 49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 28 = 5*k. Solve -k*u + n + 31 = -4*n, 5*u = -n + 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/36 - 54\/36\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -53. Let k = z - 112. Let a = k - -140. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.34 - -224.66. Let h = 227 - c. Sort -0.2, h, -3, -4 in decreasing order.\nAnswer: h, -0.2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*p + p - 2*p)*(-2*p - 4*p + p) + 0*p - 2*p**2 + 0*p)*(-185 + 307 + 446).\nAnswer: 1704*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 403 - 402.9. Sort k, -2\/13, -2\/5, 15 in descending order.\nAnswer: 15, k, -2\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -598\/21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -32. Let j(i) = 2*i**2 - 9*i + 2. Let k be j(q). Solve k*d + 10 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -0.09999972. Round d to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -279\/5 - -56. What is the second biggest value in -2\/9, q, -6\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**2 - g + g + (0*g + 0*g + 3*g**2)*(1 - 1 + 1) + 6*g - g**2 - 6*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 7*y + 6. Let a be c(1). Let t be a\/75*360\/(-320). Is -1 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*n - n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77770 is divided by 2876.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.398, -1\/2, 0.24, -54, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12247.7232 rounded to zero dps?\nAnswer: -12248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = -20. Suppose 5*m + 300 = -45*m. Let y be (-2)\/m*(-116 - -149). Sort s, 2, y in ascending order.\nAnswer: 2, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1635*p + 1545*p = 101 + 2329 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1104 - 1102. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 27*o + 211 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.4618 to the nearest integer.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 10*c**2 + c + 16. Is t(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-240*o + 337*o + 562*o).\nAnswer: -659*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142472 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10900*b - 708515. Calculate w(-65).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/33)\/(-568 - -572).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6acfed6 + -a?\nAnswer: -6acfee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 + 82540*d + 1703212900 = 0.\nAnswer: -41270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/77 + -289\/2079. What is the common denominator of (411\/(-15))\/(28\/(-5) - -2) and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-50))\/((-24)\/(-80))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4394128789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119\/3 - -40. Let i = -0.14 + 0.1. Let n = i + -1.96. Which is the closest to -1? (a) r (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163791769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 46, 132, 274, 484, 774, 1156?\n\"Answer: 2*j**3 + 10*j**2 - 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25, 68, -1, -6 in increasing order.\nAnswer: -25, -6, -1, 0, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684806 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 992 and 54064?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 132\/7, -2\/7 in decreasing order.\nAnswer: 132\/7, 4, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2)*(c\/c**4)\/c*c*c*c**(-1\/4)*c*c*c**0)**7 assuming c is positive.\nAnswer: c**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 6. Let m be -1 + -2 - 0\/6. Let s = u - m. Solve 0 = z + 4 - s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2, 606?\nAnswer: 606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*y - y)*(-2 - 1 + 0) + (-15*y - 36*y + 10*y)*(-1 - 3 + 1).\nAnswer: 132*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(1 - 51\/6). Let l(m) = -6*m - 18. Let u be (-4)\/(-6) - (-102)\/(-18). Let z be l(u). Calculate the greatest common divisor of z and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -7.7, -6228?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249066*s - 278178.\nAnswer: 249066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313877*r*w**3 + r*w - 678*r + 128*w**5 - 134*w wrt w.\nAnswer: 1883262*r*w + 2560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 986, 2637, 4288, 5939?\n\"Answer: 1651*t - 665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -861 + 2581. Suppose -5*a - 15*a = -j. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17\/6 (b) 187487 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -33*w**2. Let v(k) be the second derivative of -k**4\/4 - 5*k**2\/2 + 2*k + 21. Let m(y) = 8*y**2 + 12. Let c(d) = 5*m(d) + 12*v(d). What is a(c(p))?\nAnswer: -528*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1893, 1, -4, -29 in descending order.\nAnswer: 1, -4, -29, -1893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01858122422 + -28.\nAnswer: -27.98141877578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3664278 or -3664271?\nAnswer: -3664278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-55) + (-48)\/(-22). Suppose -5*w = -5*u + 15, k*w + 9 = -u + 6*u. Let v = w - -7. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 + 3. Let p(l) = l**2 + 1. Let y(f) = 5*p(f) - w(f). Let v be y(0). Which is the smallest value? (a) -3\/4 (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4316 - 4281)\/(3 + -2 + 33\/(-18))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1619, -6\/7 in decreasing order.\nAnswer: 0, -6\/7, -1619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 4481.75.\nAnswer: 13445.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 16*x - 9. Let b be u(-7). Calculate the remainder when (b\/45)\/(2\/65) is divided by -3 + -6 + 3 + 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 71 = -0*h - 3*a, -3*h - a = -37. Let n = h - 69. Let l = -31 - n. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + 6 = 0. Suppose s*n + 4 = g - 3, 4 = -3*n - 2*g. Let t(y) = y**2 - y + 2. Determine t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4132 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t + 4. Let g(v) = -1459*v**2 + 8*v - 32. Calculate -g(d) - 8*h(d).\nAnswer: 1467*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7482024, 7482021, 7482018, 7482015, 7482012, 7482009?\nAnswer: 7482006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 886*-4\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + 40727?\nAnswer: 40734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p + 8. What is i(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/6 + 3*h. Let d(t) = 3*t**2. Calculate d(l(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(((-210)\/(-4))\/15). What is the nearest to -7\/3 in 0.2, 2\/5, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**3*t*t**0*t)**(-7\/2))**16)**(3\/44) assuming t is positive.\nAnswer: t**(-252\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -169 - 6007*i + 2992*i + 3009*i as d + p*i and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/7 - 20*b**3\/7 - 21*b**2 - 234*b\/7.\nAnswer: b*(b - 26)*(b + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 - -18) + -2 + -61 - (-8 - -3).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + v = 0, -2*v + 7196 - 7201 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/25 and 123\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -6 + (7 - -1). Let h = d + -4. Let g = h + -2. Solve t + 11 = -2*n, -3*t + t + g*n = 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -4 - (11 + -5). What is the units digit of 20\/15*-3 - n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9163 + -9163.3. Let v = -13 - -8. What is the third biggest value in o, 1\/3, v, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.6, -2\/13, -2\/15, 1, -20\/33 in decreasing order.\nAnswer: 9.6, 1, -2\/15, -2\/13, -20\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvk when three letters picked without replacement from vvvvkvvvvvvv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.2 - -14.3. Let f be 24\/(-5)*3\/(-6). Do f and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 e, and 1 o when four letters picked without replacement from {o: 2, p: 1, e: 5, a: 1, q: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 3*u - 7. Give h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4 - 36*i**2 + 41*i**2)*(-8*i + 13*i**2 + 8*i)*(-1 + 5 + 0) - 2*i**4 + 2*i**4 + 3*i**4 to the form p*i + l*i**3 + n*i**2 + v + q*i**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*a + 341136 = 133*a. What are the prime factors of a?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 42 = v. Let l(s) = 3*s + v*s + 3*s + 16 - 6. What is the units digit of l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 - 5*t - 1. Let z = -5 + 3. Let u be (-1)\/(z*(-4)\/32 - 0). Let b be k(u). Solve o - 20 = -b*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 17*c**2 - 49*c + 186. Calculate u(19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 153 = -46. Find the first derivative of -23*i**4 - y*i + 52*i - 120 + 55*i wrt i.\nAnswer: -92*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154154582 a multiple of 6302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 621 + 613 - 1174 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 4802 - 4766 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {l: 2, m: 2, a: 4, i: 1, x: 7, q: 4}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 176, 766, 1984, 4040, 7144, 11506?\n\"Answer: 35*k**3 - k**2 - 70*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4110, 16451, 37006, 65763, 102710?\n\"Answer: -2*n**3 + 4119*n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10) + 138\/(-4). Let a = m + 34. Suppose -9*p + 9 - 18 = a. Is 24 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/13 + 62*k**3\/13 - 134*k**2\/13 - 62*k\/13 + 132\/13 = 0.\nAnswer: -33, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. Let x = 1.31 - 1.21. Let z = 8 + -11. Which is the nearest to 0.1? (a) z (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 4*p - 3*p)*(3*p - 5 + 5) + (0*p + 5*p - 4*p)*(2*p - 3*p + 0*p) in the form r*p**2 + q*p + s and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/7))**(-2\/21))**12\/((f*f**(-1\/11))\/f*(f\/((f*f**(-10))\/f))\/f)**25 assuming f is positive.\nAnswer: f**(-134229\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**2\/3 - 1664*c\/3 - 173056\/3 = 0.\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g + 4*r - 2, 5*r = 10. Solve -3*s + l + l = -6, -3*s - 3*l = g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 52*l - 499. What is the remainder when 110 is divided by c(-34)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10\/13, 0.3 in ascending order.\nAnswer: 0.3, 10\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, 3.96, 3, -176?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -24, -1, 2 in increasing order.\nAnswer: -24, -1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 982 times -359.355\nAnswer: -352886.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/19)\/((l*l*(l\/(l*l**1*l))\/l*l)\/l)*((l\/(l*l**(-19))*l)\/l)\/(l*(l\/l**(-21)*l)\/l) assuming l is positive.\nAnswer: l**(-59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84038639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -7. Which is the closest to -0.1? (a) z (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-5)*m))\/m*m**5*m**(2\/23)*m**6*m assuming m is positive.\nAnswer: m**(370\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + -2. Let x be (-3)\/k - 17\/(-5). Suppose -28 = 3*h - x*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701943.8 millennia to months.\nAnswer: 8423325600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298908322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 22586 = 1087450. Let p = 104806 + n. Round p to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from fxxxffxffx?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 8*k + 3. Let u be q(-6). Let a = 241 - u. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 11) to base 12.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 7*d**2 - 5*d - 7. Let i be n(6). Let b = 0.1 - 0.1. What is the closest to -2\/9 in 1\/2, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmooiai. Give prob of sequence ia.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6984 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 3*z + 3*z)*(-2*z**3 - z + z) + 0*z**2 + 2*z**4 + 0*z**2 + 45*z**4 + 17018*z**3 - 17018*z**3 as o + d*z + r*z**2 + p*z**3 + g*z**4 and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1318 + 1426. What is the remainder when 281 is divided by g?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/60 - 151*u**5\/30 + 299*u**4\/12 - 149*u**3\/3 + 548*u**2. Solve f(p) = 0.\nAnswer: 1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 - 4*j**2 - 22*j - 32. Let n(p) = 5*p**3 - 3*p**2 - 21*p - 33. Let f be (-78)\/14 - 8\/(-14). Let w(l) = f*n(l) + 6*k(l). Factor w(c).\nAnswer: -(c + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31, 2, -0.5.\nAnswer: -0.5, -0.31, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:23 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(6\/(-9) - 0). Let p be (16 - 1)*(-2 - -3). Solve -o*k - p = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*(13 - (-1296)\/(-99)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 7 = -5*p, -20*c + 2*p = -25762. What is the remainder when 3878 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 96 + -93 + 9 + (2 - 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -153, -313, -465, -609, -745, -873, -993?\n\"Answer: 4*z**2 - 172*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10248335 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 114*g**3 + 12*g**4 - 15*g**4 + 2 + g + 1 - 2 as d*g + o + v*g**3 + k*g**2 + i*g**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**3 + 11*t**2 + 35*t + 9. What is the remainder when r(-4) is divided by 64?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(110))\/sqrt(10) - sqrt(33)\/(sqrt(27)\/sqrt(9)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16)\/v)**(-37) assuming v is positive.\nAnswer: v**629","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -6, 10, 40, 90, 166, 274, 420?\n\"Answer: k**3 - 2*k**2 + 7*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 203578*o**3 - 4*o**2 + 2*o - 13977?\nAnswer: 1221468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2 and -14.232.\nAnswer: -13.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 288049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 + 67. Let j = 4 - p. Let t(c) = -10*c**3 + 25*c**2 + 15*c - 15. Let d(w) = w**4 + w**2 + w. Let v(s) = j*d(s) + t(s). Factor v(g).\nAnswer: -5*(g - 1)**2*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + o - 1 = -12, 2*b = -3*o + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.4, -3, -0.01, -4, 0.19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-65*n - 3 + 0 + 56*n) + 3*n + 4*n - 6*n.\nAnswer: -8*n - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 8*n**2 + 5*n - 2. Let p be x(6). Let m = 566 - p. Suppose b - 138 = -0*b + 4*q, 5*b = 4*q + m. List the prime factors of b.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473954921 to the power of 1\/2, to the nearest integer?\nAnswer: 38392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25647, -51020, -76393, -101766?\n\"Answer: -25373*x - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*q + 3*b, 28*b = 2*q + 24*b - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q + 40 = 0. Let w = 12 + q. What is the second derivative of 0*x**3 + 3*x + w*x - 4*x + x**3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*p**3 - 38*p - p**3 + 14*p - 41*p as v*p**2 + d*p + n*p**3 + m and give d.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbf. Give prob of sequence bh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 57*r - 256. Give o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5)*3924\/76518.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22)\/253 + 1833\/184 and 47\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*-0.1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let q(l) = -8*l**2 + 3. What is y(q(w))?\nAnswer: -8*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + 5 + -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108352 or 1885?\nAnswer: -108352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7*-30.59\nAnswer: -214.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.23627um in kilometers?\nAnswer: 0.00000004323627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**4\/7 - 1566*z**3\/7 - 53502*z**2\/7 - 102330*z\/7 - 50388\/7 = 0.\nAnswer: -221, -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3953 is divided by 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 493746 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20646 + -20632. Solve a*d + 10 = -88 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1849*p**3*y**3 - p**3*y + 47*p**2*y**3 - 53*p**2*y wrt p.\nAnswer: 11094*y**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/2 less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 3. Let q = u + -20. Let o = q + 7. Which is the nearest to o? (a) -1 (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*s*y**2 + 453*y**2 with respect to s.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) 3\/65 (c) 0.04279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*k - 927 - 1045 = 0. Suppose -12 = -q - 3*z + 4*z, k = 4*q + z. Solve -q = -3*l - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -389839*i - 14359381 wrt i?\nAnswer: -389839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*i + i**3 - 15 - 45*i - 47*i + 24 in the form w*i**2 + u*i**3 + p*i + q and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13141330 (base 5) to base 6\nAnswer: -2445424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2409 + 4157. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 6. Let b(i) = -i**2 + 2*i + 7. Let d(r) = -2*b(r) + 3*h(r). Let y be d(-2). Solve -2*t - 9 = -u, 3*t - y*u + 7 = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 48*z - 32. Let j(y) = 1055*y - 700. Let g(h) = 2*j(h) - 45*n(h). What is the units digit of g(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/2 - 33*h**3\/2 - 43*h**2\/2 + 297*h\/2 + 153 = 0. Calculate h.\nAnswer: -3, -1, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 11057.4 centimeters?\nAnswer: 0.110574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2, 3 = 2*x - 2*c + 113. List the prime factors of (700\/x)\/((-2)\/24 - 0).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9549 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/(-5))\/(1\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -14 (b) 4 (c) -30 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 + 18 = 0. What is the second derivative of b*d**3 + 7 + d - 7 - d**3 wrt d?\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 978363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9872*f**2 + 3022*f**2 + 2538*f**2.\nAnswer: 15432*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.3, -841609\/2, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-1)\/v)\/v))**(-4\/19)*v*v**(-5)*v**(-2\/3) assuming v is positive.\nAnswer: v**(-314\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 35, 60, 95, 140?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (-240)\/(-150))\/(189\/(-90))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**5\/10 - n**4\/6 - 2*n - 3. Let u(c) be the first derivative of r(c). What is the third derivative of u(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400624 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -13. Let q = s - 5. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.22, 1190 in ascending order.\nAnswer: 0.22, 1, 1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-99)*(54\/(-5976))\/1.\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45132 - 44933.33. Round b to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69118 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 352171932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 626583141?\nAnswer: 3, 199, 277, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-355*w - 407*w - 35*w - 83*w)*(-4 + 3*w**3 - 2*w**3 + 5).\nAnswer: -880*w**4 - 880*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36000 and 12000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/3 - 32202*d**2 - 6590016*d - 336444552 = 0. What is d?\nAnswer: -102, 48507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93264 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 4*l + 5*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 2:03 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/27*9*((-2)\/30)\/((-1)\/(-2)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by -5?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22*q**2 - 131*q - 264. Let p(g) = 8*g**2 + 49*g + 88. Determine 3*n(r) + 8*p(r).\nAnswer: -2*r**2 - r - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7261 and 159?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21803.\nAnswer: 21803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 25 = 3*l. Suppose -h + 2*i = -l, 0 = -2*h - 5*i + 11 + 25. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 4. Let a be c(-8). Solve -a*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -7*s - 9, -2*o + 336 = 6*s + 350 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(99) - ((-2 + sqrt(99) - sqrt(99)) + 1) - (sqrt(99) + 2 + sqrt(99) + 2))**2 + -1).\nAnswer: -428 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -4*a**6\/3 + 2*a**2 - 6. What is the second derivative of d(y) wrt y?\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/433 - -12515\/2598. What is the common denominator of 1\/276 and m?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Which is the nearest to -1\/2? (a) -2 (b) 1\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -33?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-60))\/((-120)\/540)*100\/(-9).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -7. Let n = 18.9931 + s. What is n rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -22598516?\nAnswer: -22598516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08826, 7, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 314 = -42*t. Suppose 0 = 10*n - t - 523. What is the remainder when n is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = -7. Suppose -4 = -3*k + 2*s, -5*s + m = -2*k - 7. What is the remainder when 52 + 3 + (-12)\/k is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a - a**2 + 9 - 2 - 2*a. Suppose 5*v - 2*k = v + 22, -2*v = -5*k - 7. Calculate the lowest common multiple of v and x(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 3*l + l - 836. Calculate the greatest common factor of l and 1938.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185 = -3*p - 49*p - 361 + 78 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 9*c + 7. Let j be n(-7). Let a(l) = 5*l**2 + 5*l + 3. Suppose 0 = 2*h - 1 - 1. Let r(o) = 2*o**2 - h + 4 + 2*o - 2. Give j*r(d) + 3*a(d).\nAnswer: d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 153. Let j be ((-11)\/55)\/((-2)\/30)*-261. Calculate the remainder when l is divided by (j\/(-145))\/(2\/10).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4680*206.38\nAnswer: -965858.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 66*k + 265*k - 66*k - 58*k - 65*k.\nAnswer: 10*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 268\/388741 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 42. Suppose d = a - 6*a + j + 24, 16 = 2*a - 2*j. Suppose 3*o - 450 = 2*q, 0*q - 3*q = -a*o + 600. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 5. Suppose k*y = 2*y + 66. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 606 - 262. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 2. Let q(h) = 3*h + 2. Let i(c) = -g(c) - q(c). Let y(k) = -2*k**2 - 6*k. Give i(y(n)).\nAnswer: 2*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3094573 take away -619.7?\nAnswer: 619.3905427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/((-16)\/(-9)). Let y = 3.1 - 17.1. Let o = y + 13.99. What is the third biggest value in v, o, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 8, 14, 20, 26?\n\"Answer: 6*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-32))\/(2\/(-24)). Solve 0 = 3*p + c + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 70368, 280880, 631542, 1122354, 1753316, 2524428, 3435690?\n\"Answer: 70075*o**2 + 287*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:23 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157842589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 - -1622. List the prime factors of l.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 16 + -11 - 5 - -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 5, w: 1, p: 4, t: 4, o: 3}. Give prob of picking 1 o, 1 w, 1 x, and 1 n.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 equal to -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 20 - (-12 + 89).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 68. Let t be p(-14). Suppose 0 = 2*a - 4*a + 2, t*a + 33 = j. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10808, -21628, -32444, -43250, -54040, -64808, -75548?\nAnswer: -86254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 556511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2903 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/2019231 and -101\/30?\nAnswer: 20192310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9637705 divided by -5.\nAnswer: -1927541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4\/7)*d)\/(d\/d**9)*d\/(d\/(d**9*d))*d*d**(-1\/4) assuming d is positive.\nAnswer: d**(565\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 + -163. Suppose -f*m - 1225 = -16*m. List the prime factors of m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-4))\/(13 + 927\/(-72)). Let v = -437\/3 + 147. Which is the smallest value? (a) w (b) v (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13613277*y + 6806634*y + 6806642*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**3 - 5961*t**2 + 6193*t - 466716. What is m(1986)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 9:06 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 65, 9, -1 in decreasing order.\nAnswer: 65, 9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h*h**7\/h)\/(h*h*h**(1\/3)\/h*h**(-1\/2)*h)*((h**(-1\/7)*h)\/(h*h**(-2\/5)))\/(((h**1\/h)\/h)\/h**6) assuming h is positive.\nAnswer: h**(4079\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 243*i**2 + 545*i + 1093. Find the first derivative of d(y) wrt y.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -2*b + 33. What is the greatest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, y: 1, w: 9}. What is prob of picking 2 w and 1 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(27\/(-30)) + 0. Suppose -u - 10 = 2*u - 2*s, u + 2*s = c. Solve u = 2*f - 5*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1718*f + 26. Suppose 2*i - 8 = 0, 0 = -0*k + 3*k + 3*i + 9. Let g be q(k). Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 137. Let p(u) = -5*u + 289. What is 13*n(h) - 6*p(h)?\nAnswer: 4*h + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2778148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 1. Suppose m + m = 4*r + 44, 4*r - m = -48. Let j = 8 + r. Is d(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u + 71. Determine y(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 15*n - 9. Determine u(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 - -99. What is the least common multiple of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i**3 - 21*i**3 + 14*i**3)*(-4 + 5 + 1)*(-109*i - 148*i + 73*i).\nAnswer: 10304*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31917*i - 42319*i + 7395 - 7393.\nAnswer: -74236*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1579 + 131780426\nAnswer: 131782005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 412180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/7 + 6960*w**3\/7 - 6062148*w**2\/7 + 1725088*w + 18144726\/7 = 0.\nAnswer: -1, 3, 1739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 4*s - 24 + 14*s + 10*s - 27*s.\nAnswer: s - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -911*m**4\/2 - 29*m**3\/3 + 6*m**2 - m - 120. Find the second derivative of a(d) wrt d.\nAnswer: -10932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/((-32)\/(-284)))\/(30\/(-1108)). Let g = s - -6526\/5. What is the common denominator of -45\/7 and g?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 345, 333, 319, 303?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-21))\/((-11)\/(-22)))\/(22\/99).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-2)\/(-468) - 0. Let b = -1633\/1170 - z. Is b <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728567 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 462308059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.34 * 54.\nAnswer: 18.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 680237325 divided by 2?\nAnswer: 680237325\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 3 + 374 + (-3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(2\/(-8)). Suppose 59*q + 40 = 63*q. Let i be (2 + (-100)\/30)*(1 - q). Solve -i = -u*p - 0*p - 2*l, p + 5*l = 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 4*c**2 + 3*c**2 + (-3*c + 2*c**2 + 3*c)*(1 + 1 - 1) + 41*c**2 - 4*c**2 - 128*c**2.\nAnswer: -88*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3\/11 + 12*q**2\/11 + 2*q\/11 - 12\/11 = 0. What is q?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/13 + 282*u**2\/13 = 0.\nAnswer: -141, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/30 + 7*q**4\/4 + 20*q**3\/3 - q**2 - 15*q. Factor n(b).\nAnswer: 2*(b + 1)*(b + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5564548 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11543265.384 and 708?\nAnswer: 11543973.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:27 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*q + 26 = 3*z + 859*q, 2*q = -2*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 87742296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*b - 138*b + 274*b)*(2*b - b + 0*b + (b + 1 - 1)*(0 - 4 + 5)*(-11 + 11 + 6)).\nAnswer: 280*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*u + 244 = 0, 0 = 3*h - 5*u - 0*u - 358. Let z = h + -118. Solve -z*f + 3*f - 2*t = -9, -4*f = 3*t - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10271 + 39692 = 17*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z*z**(-3\/8)))*z*z)**42 assuming z is positive.\nAnswer: z**(609\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(363) + -4 + sqrt(3)*1*-1 + sqrt(48) + (0 + sqrt(48))**2).\nAnswer: -132 + 123*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018664 rounded to four decimal places?\nAnswer: 0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -343, -406, -495, -622, -799, -1038, -1351, -1750?\n\"Answer: -2*u**3 - u**2 - 46*u - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-16))\/(224\/64)*144\/18?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -785a0 (base 12) to base 7\nAnswer: -1233636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c - 62*c + 1176 = 198. What is the highest common divisor of c and 3260?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*y - 52 + 293*y + 52.\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let o = y + -1. Suppose -20 = -o*a - 4*a. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 0.14. Which is the second smallest value? (a) 0 (b) u (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cd5ca (base 16) to base 14.\nAnswer: -372974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = x + 75 - 40, -s = -5*x + 5. What is the remainder when 125 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0 - 5*a + 5\/3*a**3 + 0*a**2. Let z(q) = -5*q - 7. Let u(g) = -4*g - 6. Let v(p) = 7*u(p) - 6*z(p). Calculate v(b(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0*a + 0*a**3 + 0 + 1\/30*a**5 + 7*a**2 - 1\/12*a**4. Find j, given that t(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**7\/42 + 2*m**4\/3 + m. What is the third derivative of c(z) wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-12))\/((-537)\/(-2622708)) is divided by 101.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m - 2*w, -7 = -5*m - 3*w + 5. Let d(n) = 6*n + 23. Let t be d(-4). Sort -38, m, t in decreasing order.\nAnswer: m, t, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286 - -284. Let z = 1 - 1.2. What is the nearest to 1\/3 in z, y, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 1:49 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52005469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w + 22. Let s = 24 - w. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 13\/2. Let k(c) = -8*c + 2. Let d be k(0). Let h be (d - 1)\/(6\/4 - -2). What is the nearest to h in 4, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-228))\/((-4)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215643539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -64118, -1, -5.\nAnswer: -64118, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1767, -7786, -22397, -49896, -94579?\n\"Answer: -716*w**3 - 1007*w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -891 at least -891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, v: 2, j: 1, c: 1, t: 4, o: 2}. What is prob of picking 1 c, 1 o, and 2 v?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -341 - -404. Calculate the remainder when l is divided by 25.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - i - 50, 2*n + 0*n = -2*i - 20. Let o(l) = -2*l - 15. What are the prime factors of o(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1400136\nAnswer: 1\/350034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 34\/3 (c) 155 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100331100 (base 6) to base 14.\nAnswer: -326188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 65\/52 - (-77)\/(-36). Which is the closest to 0? (a) j (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 - 632*g\/3 + 24964\/3.\nAnswer: 4*(g - 79)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r*r**(-1))**(-12)\/((r**10*r*r)\/((r\/(r\/(r*r*r**(-6))))\/r*r)) assuming r is positive.\nAnswer: r**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.55 - 0.1\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s - 0. Let b be ((-302)\/s)\/((-14)\/105). Suppose -185*z + b = -180*z. What are the prime factors of z?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (-3 + 3)\/4. Suppose 3*q = -f*k + 21, 0 = -0*q - 4*q - 5*k + 32. What is the second derivative of 11 - 6*m - 11 - 6*m**3 - 3*m**q wrt m?\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {z: 2, g: 5, i: 3, r: 5, n: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186179?\nAnswer: 7, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Suppose -2 = 2*a - 4. Let t be (a - 0)\/((-104)\/(-16)). Is m greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 18. Put p, 3\/8, -0.5, 1 in ascending order.\nAnswer: p, -0.5, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 + 15*o**2 + 11*o. Let h(x) = 2*x**3 + 7*x**2 + 5*x. Let w = 18 + -11. Suppose 3*k - w*k = -24. Give k*j(t) - 13*h(t).\nAnswer: -2*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112063457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003743669 to six decimal places.\nAnswer: -0.000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -21*a**3 - 4*a**2 + 21*a - 18. Calculate i(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 680906771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24003048 to the nearest integer?\nAnswer: 4899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 1442?\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*v - 5*v - 6*v + 10*v + v**3 + 2*v**4 in the form j + f*v**2 + g*v**3 + w*v + t*v**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 12*x**2 - 11*x - 24. Let d be q(13). Solve -4*u = -y - 3 - 2, d = y + 3*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109929\/22130 - 5\/6639. Find the common denominator of 1\/7*-1*-43 and k.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**3 + 6*z**2 + 6*z. Let t(y) = -7*y**3 + 7*y**2 + 7*y. Give -7*i(n) + 6*t(n).\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**3 - 2*o**2 - 4*o - 1. Calculate m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -59*g**2. Let m(q) be the third derivative of -q**5\/6 + 354*q**2. Determine p(m(i)).\nAnswer: -5900*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1770385 and -321558.\nAnswer: -2091943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118853407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1763*i**3 + 28 + 36 - 62.\nAnswer: -1763*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -239 at least -249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let q(b) = 16*b + 12. Let a(h) = 6*o(h) - q(h). Let c(t) = 16*t**2. What is a(c(k))?\nAnswer: -160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 42, -2\/3, 14, -73.\nAnswer: -73, -2\/3, 7, 14, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:27 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32004403 (base 5) to base 12.\nAnswer: 10a098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370001.\nAnswer: 23, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 915 (b) 0.4 (c) 3.8 (d) 5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t**(-9)*t)))\/(((t\/t**4)\/t)\/t) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232 - 232 + 8*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 10, -0.034 in increasing order.\nAnswer: -0.034, 0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21408 - -26682. What is the remainder when i is divided by 377?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -5 - 17 - 5\/(3 + (-116)\/40).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -3\/7, 1, -71?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1054*o + 1179 + 944 = 16625 + 5524 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3 - 2*s + 7*s - 3*s**2 + 4*s**2 - 2*s**2. Calculate d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*c + 8*c. Let o = c + 9. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 - 4*a + 1. Let c(g) = -g**2. Give -4*c(t) - y(t).\nAnswer: -4*t**2 + 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8*f + 61 = 3*f, f + 281 = 5*z. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235297 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(72)\/sqrt(4))\/sqrt(9)*3.\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-12)\/x)\/x**4)\/(x**(-11\/3)*x**(-1\/33)) assuming x is positive.\nAnswer: x**(-439\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -256*p. Let f(h) = -9*h**2 - 8. Determine t(f(j)).\nAnswer: 2304*j**2 + 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14986 * 41.98.\nAnswer: 629112.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*n - 39*n + 13*n - 65*n + 2*n**2.\nAnswer: 2*n**2 - 207*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, r: 4, w: 3}. What is prob of sequence ffwf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**5\/10 + x**4 - 7*x**3\/2 + 9*x**2\/2 + 173. Factor o(p).\nAnswer: -p*(p - 3)**2*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2*l)*(-2 - 2 + 5) + 2 - 2 + 2*l + 2*l + 4*l - 3*l + 4*l - 9*l - 9*l)*(-12 - 1 + 59).\nAnswer: -322*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6806*c + 673022 - 101318 for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*l - 488*l + 32 + 922 + 1872 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/296 and -93\/64?\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in 2, -2\/3, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -497*q + 4. Let h(y) = 499*y - 5. Determine 3*a(x) + 2*h(x).\nAnswer: -493*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 8853 + 10626 - 2*h**2.\nAnswer: 2*h**2 + 1773","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3755?\nAnswer: 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 7*p**2 + 7*p - 4. Let g(l) = -2*l**2 - 1 - 2*l**3 + 3 + 2*l + 0*l**3. Let h be g(-2). Calculate the least common multiple of 5 and u(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990428.\nAnswer: 2, 7, 106801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g*i**3 - 98*g*i**2 + 267*g*i - 1614*i**3 - 28700*i wrt i?\nAnswer: -18*g*i - 196*g - 9684*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1497 + 476 = 0. Let b = -4348 - -2036. Let q = m - b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*x + 1039*x - 1970 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1055, 1053, 1049, 1043, 1035, 1025, 1013?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**3 - 652*b**2 + 649*b + 5. Give v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 smaller than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 8539*a - 3 - 3.\nAnswer: -8539*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-7) - 93\/217?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 51*t + 5. Let o(g) = -40*g - 5. Let k(y) = 3*f(y) + 4*o(y). Let p(x) = 43*x. What is k(p(b))?\nAnswer: -301*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39*(-4)\/(-468))\/(12\/27).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose -4*u + 3*j = -6, -j - 2 = 4*u - 2*u. Let l = v - u. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -17 + 19 - (2 + 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/36)\/7)\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010111101110001101 (base 2) in base 14?\nAnswer: 384205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = 5*o - 0, 5*q = 20. Sort 5, o, -5 in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*c - 126. Calculate the remainder when 79 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0227016 nanometers to kilometers.\nAnswer: 0.0000000000000227016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5 = -o + 5*p, -2*o + p + 5 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -25, -14, 19, 80, 175, 310?\n\"Answer: r**3 + 2*r**2 - 18*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 - 1. Let x be t(-1). Solve -4*a - 19 = -3*i - 5, -i + x = -a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1\/11, 0.0416, -0.3, 1\/2?\nAnswer: 0.0416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 4996580?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 3, w: 4, v: 2, a: 6}. Give prob of picking 1 l, 2 a, and 1 z.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -3*m**5\/5 - 11*m**2\/2 - 4. What is the second derivative of n(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517476.\nAnswer: 2, 3, 293123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 50, 38, 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -33 - 42 + 115 + 11*u**2 - 35 - 5*u**3. Let t(i) = -i**3 + 2*i**2 + 1. What is 2*j(l) - 11*t(l)?\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/35 - (-225)\/21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*p - 177, -7*w = -2*w + 3*p - 249. Calculate the highest common divisor of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (144 - 0) + 2 + -14 - (16 + (8 - 17))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 625?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 - 25*x + 29 - 10*x + 44 - 12 wrt x?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223501059326 - 0.4\nAnswer: 223501059325.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 20*p + 696. Determine z(-48).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-2) + 3 + 46. Suppose 0 = -3*n - 2*z + 217, -2*n + 134 = -0*z + 4*z. Calculate the greatest common divisor of j and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11 = -3*b, 0 = 2*k + 1 + 1. Calculate the lowest common multiple of b and (-3)\/5 + 144\/15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o = 3955 + 4235. What is the units digit of (-1 + 52 + -2)*o\/(-147)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Let f be (-3 + 0)\/(-3 + n). Suppose -2*z + f - 1 = 0. Is 1 equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -162? (a) 2948 (b) 5 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 7*l**4\/3 + l**3\/6 + l**2\/2 + 21*l. Let v be a(1). Suppose -v*n + 25*n + 130 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 - -2. Let r = 0.03 - -0.37. Let w be 2*(0 + -2 - 0). Which is the third biggest value? (a) g (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 - j - 2. Let n be q(3). Suppose n - 15 = -v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/((-3)\/261) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4677, -9355, -14033, -18711?\n\"Answer: -4678*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 35*c + 1 + 14*c - 4*c. Calculate the least common multiple of l(-12) and 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:50 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 77401?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 48 = -4*z, u + 16*z = 19*z. Solve -11*p = -8*p - u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5)*-3 - sqrt(180)\/sqrt(4))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/7 + 142*i\/7 + 2412 = 0. Calculate i.\nAnswer: -63, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -6. Let d(f) = -4*f**2 - 1 + 7 + 5*f**2 + 5*f - 2. List the prime factors of d(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63778991?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(40))\/sqrt(5).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d**3 - 2*d**2 + 331*d + 2. Let y(g) = -37*g**3 + 3*g**2 - 659*g - 4. What is -7*u(j) - 3*y(j)?\nAnswer: -j**3 + 5*j**2 - 340*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, l: 2, y: 1, e: 2, h: 1}. What is prob of sequence lhe?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**7\/147 - r**6\/140 - r**5\/105 - r**2 - 1. Let p(z) be the second derivative of b(z). Solve p(k) = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(-39)\/((g**(-7)*g*g)\/((((g**4*g*g)\/g)\/g)\/g*g)) assuming g is positive.\nAnswer: g**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 42*u - 266. What is l(26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -23*k + 206. What are the prime factors of k?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031692829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.93 - 9. Let u = n + -0.03. Let l = 0.4 - 0.2. Which is the second smallest value? (a) l (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908 is divided by 160?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 6848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391073 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 + -125. Find the third derivative of 21*o**3 + d*o**3 - 8*o - 26*o**3 + 7*o**2 wrt o.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/40 - -3 - 5. Which is the second biggest value? (a) w (b) 0.5 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619038 to the power of 1\/2, to the nearest integer?\nAnswer: 2573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + j**3 - 2*j**3 - j**3 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(180) + sqrt(180)) + 6*sqrt(180)*2)\/((sqrt(196) - sqrt(4))*5 - -1*sqrt(484)).\nAnswer: 24*sqrt(5)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 146 = -68 + 4. Solve 3*g = -3*f - 9, 24 = -3*f - c*g + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.9 (b) -42 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 - 15*v + 5. Let o(y) = 9*y**2 + 30*y - 16. Let n(g) = 2*o(g) + 5*w(g). Give n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-8) - 153\/(-24). Let r be 3\/(n\/(-90)*2\/6). Let m = -38 - r. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 + 17*z - 41*z + 4 wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5.9. Let y = 331 + -331.4. Sort y, -4, -5, t in decreasing order.\nAnswer: t, y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 64*p**2 - 3*p + 120*p**2.\nAnswer: 56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 - 7 = 0. Let k = 144095\/12 - 12001. What is the common denominator of k and 3 + ((-153)\/(-2))\/a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(5\/3 + -2). Suppose 8*u - 157 = -101. Suppose -p = -u*p + k. Solve l = 4*w - p, -3 = -w + 5*l + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 11 + 14 + 15. What is the units digit of g(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + p + 1. Let f(n) = -2069*n**3 + 6*n**2 - 6*n - 222. Let w(y) = -f(y) - 6*t(y). What is the first derivative of w(o) wrt o?\nAnswer: 6207*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -2, -3277, -5.\nAnswer: -3277, -5, -2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 136\/28 + (-9)\/(-63). Solve -c*b = -0 - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 466351266 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 2*d = -530, -5*h = 4*d - 560. Is h a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29682.28 rounded to the nearest 100?\nAnswer: -29700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 4*j - 2*j - 5*j**2.\nAnswer: 3*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 10 + 10. Suppose 2*k - 2*u - 2*u + 6 = 0, k - z*u = -12. What is the second derivative of c + 0*c**k - c**3 + 0*c wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1)*-2 + -5 - (4 + -4 + (sqrt(2448) - sqrt(2448)*2 - sqrt(2448))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36886.38 hours in minutes?\nAnswer: 2213182.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 4\/(-30)*-483 + 64\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 12*c**2 - 10*c + 11. Let i be d(-11). Let b(g) be the second derivative of 2\/9*g**3 + 5*g + i - 1\/2*g**2 - 1\/36*g**4. Factor b(n).\nAnswer: -(n - 3)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5013515304.\nAnswer: 2, 3, 7, 3315817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 387, 391, 399, 411, 427, 447, 471?\n\"Answer: 2*q**2 - 2*q + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - -c4fc?\nAnswer: c528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(3 - (-24)\/(-4)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (0\/(-2) - 9\/9). Let q(x) = x**2 + 14. Let b be q(n). Calculate the highest common divisor of b and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14141 - 14141. Suppose 4*x - 3 = r - 2*r, 4*r - 69 = 3*x. Sort r, -4, l in decreasing order.\nAnswer: r, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109073 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (83\/332)\/(((-45)\/8)\/3)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuu. What is prob of sequence uue?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11407398 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 13*y - 25 = 0. Let o(f) = -f**2 - 7*f + 13. Let x be o(-9). Let u = x - -5. Solve u = -2*a + a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + p = -0*r - 11, 5*p = 5. Let d be r\/((2 + -2)*-1 - 1). What is the closest to 0.1 in 0.5, d, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 0*i**2 + 3*i**2)*(5 - 2 + 2 - 4 + 2 + 4 + (0 - 2 + 3)*(5 - 1 - 2)).\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2204 + -6?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(2*sqrt(18)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1972 + 2279. What is the remainder when r is divided by 90?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*r, 4*w + 12 = 360*r - 359*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3. Let i(x) = 13*x**3 + 40*x**2. Let b(t) = i(t) + 4*w(t). Find the third derivative of b(g) wrt g.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -14.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124954821?\nAnswer: 3, 13883869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 23114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)\/(-8)*(-827 - -1043). Suppose 3*b + 12 = -b, m - 4 = b. Sort v, 2, m in descending order.\nAnswer: 2, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from djmlh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 7*c - 2*v - 14 = 0, v - 3 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3796, -4703, -5608, -6511, -7412, -8311?\nAnswer: -9208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.22 and 3.69376.\nAnswer: -4.5063872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 13) to base 4.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95261712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 333204735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -0*y + y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {s: 3, v: 1, d: 3, z: 5, b: 1, a: 1}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1625 + -3?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o + 1. Let b be h(-4). Suppose 5*m + b = 15. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (344\/(-903))\/((840\/49)\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 0*h. Suppose -4*q + u = -28, -5*q = -h*u - 8 - 27. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 65*j**2 + 230*j. Let z(t) = -16*t**2 - 56*t. Give -6*g(v) - 25*z(v).\nAnswer: 10*v**2 + 20*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 691 + -663. Let v be z\/(-5) + 6\/10 - 13719995. What is v rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.45633 months to decades.\nAnswer: 1.60380275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2 - 2) + 8 + -11 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5 - 0) + 2)*(-10 + 8). Let f(m) = m**3 - 6*m**2 + m + 3. Calculate f(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -12, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 2*r + 5. Let d(w) = -5*w - 2. Let g be d(-2). Let p(f) = 5*f**2 + 3*f + 8. Give g*i(m) - 5*p(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = b. What is the third derivative of 5*u**b - 7*u**2 - 4*u**3 + 3*u**3 wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**5\/120 + 3*p**4\/8 + p**3 + 1. Let v(b) be the third derivative of n(b). Determine v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63780827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 6. Let n be d(0). Let j be -2 + 0 - (4 - n). Is -3\/4 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + q**2 + (-2*q + 2*q - q)*(-2*q + 5*q - q))*(-4 - 3 - 11)*(19 - 19 - q**2) - q**4 + q**4 - q**4.\nAnswer: -19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 1261, 1969, 2677, 3385?\nAnswer: 4093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5, 20793, -4, 1, 23 in decreasing order.\nAnswer: 20793, 23, 5, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 249 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1130\/35 - 6\/21. Suppose i + z = 8, z - 16 - c = -5*i. Solve -3*f - i - 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 9:41 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 + 168. Let g(y) = -y**2 + 39. Is g(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + -2 + 9 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67535*v + 33911*v + 33623*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 13. What is the units digit of -8 - o - 6*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56\/13, 0.5, -2\/15, -4.7, 3 in descending order.\nAnswer: 56\/13, 3, 0.5, -2\/15, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*t - 108 = -331*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -729*r + 931*r - 757*r + r + 2*r - r + (3 + 1 - 3)*(2*r + r - r) - r - 3*r + 3*r - 3*r + 2*r + 3*r as h + c*r and give c.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52502182*p**5 + 3*p**2 - 1586718*p - 2.\nAnswer: 3150130920*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -270775, -540964, -811141, -1081300, -1351435, -1621540?\n\"Answer: t**3 - 270196*t - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4 - 8*h**3.\nAnswer: -h**3*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478 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: Calculate the highest common factor of 158373 and 396.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/9730 and -3\/100.\nAnswer: 97300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8552.8323 to the nearest 100.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/1197)\/((-2)\/(-12))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -15681\nAnswer: -4\/15681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111041 (base 7) in base 3?\nAnswer: 20222020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11152304, 22304614, 33456924, 44609234, 55761544?\n\"Answer: 11152310*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(48)\/sqrt(4))\/(sqrt(33)\/(sqrt(22)\/sqrt(2))))\/((-2*sqrt(16))\/((sqrt(32)\/sqrt(2))\/sqrt(8))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/12 - 2*b**3 + 5*b**2\/2 + 41*b. What is the remainder when 14 is divided by p(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 30*o - 136 + 456 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -9 - 4 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 263636.37s in days?\nAnswer: 3.051346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, f: 5, c: 4, n: 1, l: 3, m: 1}. What is prob of sequence fnl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, 2, 14, 22, 20, 2, -38?\n\"Answer: -b**3 + 7*b**2 - 4*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/12 + 2\/(-6). Let u = -96 - -97. Which is the third biggest value? (a) u (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 40 + 26 = 0. Let c(d) = -10*d - 1. Let o be c(-1). Let x = k - o. What is the least common multiple of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.703719 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -8.5. Let a = -8 - u. Let b = 0.00016 + a. What is b rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x. Let k(p) = 743194*p**2. What is k(y(d))?\nAnswer: 6688746*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (595\/(-34))\/((0 - -25)\/5 - 87\/18)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -404, -1358, -3210, -6260, -10808?\n\"Answer: -50*q**3 + q**2 - 9*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232262640 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17469\/(-324) + 54)*4*3*-59.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.071, 4\/7, 4, -5\/11, -3\/5, 1 in decreasing order.\nAnswer: 4, 1, 4\/7, -0.071, -5\/11, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b218 + -9?\nAnswer: -b224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1))**(7\/2)\/(c**(2\/17)*c*c**(-3)\/c))**18)**(-49) assuming c is positive.\nAnswer: c**(9261\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q + 663 + 310 = 37 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116110 is divided by 2032?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16597 is divided by 3172?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + -7 + 9\/24. What is the second smallest value in 2, -0.4, g, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001100100 (base 2) in base 3?\nAnswer: -12202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -27*r + 136. Determine f(10).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392556 is divided by 195013?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 13*r**2 - 17*r + 20. Give y(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b6 (base 16) to base 12.\nAnswer: -49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846743276.\nAnswer: 2, 17, 29, 523, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(130)\/(sqrt(1440) + 2*sqrt(1440))*-4 + (4*(sqrt(143) - sqrt(143)*-3 - sqrt(143)) + sqrt(143))\/((sqrt(99) - (sqrt(99) - sqrt(99)*-3)) + sqrt(11)).\nAnswer: -149*sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-3)\/1176)\/(20\/(-14)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 6. Suppose -i = s + 2*s. Let f be (1\/s)\/((-2)\/20). Solve -2*w + f = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.3 + 15. Let o be (-50)\/264 + (-200)\/3300. Which is the closest to o? (a) 2 (b) -7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 0 - (440\/(-396)*6)\/((-8)\/96)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1246, -2494, -3742?\nAnswer: -4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -238, -473, -700, -913?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -82, -132, -182, -232, -282?\n\"Answer: -50*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(7\/4)*o*o\/o**(-41) assuming o is positive.\nAnswer: o**(169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*g - 3*z + 21 = 413*g, 2*z + 30 = 4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*y**3 - 19237*y**3 - 5464*y**3.\nAnswer: -25144*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*u + 3*u - 7, 4*h + 2*u + 2 = 0. Let j = 0.23 + -2.23. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*j - 19, -f + 34 = -4*j + 11. Let x be (f - 4)*(-240)\/(-9). Suppose x*z + 125 = 81*z. Calculate the remainder when z is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/611 in -2\/15, -1\/21, 3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 2 - 2 + (3 + 1 - 3)*(k**5 + 0*k**5 + 0*k**5).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -212 divided by -151.\nAnswer: 212\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 3*o**2 - 1\/15*o**5 - 1\/210*o**7 + 0*o + 0*o**4 + 0*o**6 + 0*o**3. Find the third derivative of s(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -38 - -63*(-763056)\/(-1264788).\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 744*s + 34596.\nAnswer: 4*(s + 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8*t - 13*t = 3495, -3*t = 3*o - 2067. What are the prime factors of o?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -6146\/13 (b) 1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/16)\/((-6)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2. Let z(y) be the third derivative of y**5\/15 + y**2. What is k(z(p))?\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -872 divided by -5.\nAnswer: 872\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 12:30 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -7.7. Let v = 0.3000024 + g. Round v to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.5. Let n = -0.07 - 0.03. What is the closest to -1 in c, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1172*n**2 + 7027*n - 8. Determine k(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*v + 6*v = -22, 5*n = -2*v + 76. Suppose 3*o + o = 16. Let k be 2 + (4\/2)\/2. Solve -k*u = -n + o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796 (base 10) in base 3?\nAnswer: 12012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50789?\nAnswer: 50789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2. Let n(y) = -y**2 - y - 123. Calculate n(h(u)).\nAnswer: -9*u**4 - 3*u**2 - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let h(w) = w - 1. Let o be h(9). Let a be n(o). Suppose 0 = -z + 2, 0 = -4*j + 4*z + 4 + a. Calculate the remainder when 13 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -32.9 (b) -5 (c) -2\/3 (d) -1\/5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 9*u**2 - 8*u + 9. Let z be d(-8). Let j be (8\/(-24))\/(1\/z). Let m = 1 + 0. Which is the second biggest value? (a) 3 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -6, 1, -2, -129, 3, -1 in ascending order.\nAnswer: -129, -24, -6, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96104*-2.75\nAnswer: -264286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8*b + 0)*(2*b**2 - 3*b + 3*b)*(2*b**2 + 0*b**2 - 4*b**2).\nAnswer: -32*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2093*s + 2925*s - 1451*s + 2510*s in the form b*s + r and give b.\nAnswer: 6077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53737436?\nAnswer: 2, 59, 109, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 805 divide 207447695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/15 - 946*a**3\/5.\nAnswer: 2*a**3*(a - 1419)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.3 - 0.3. Let t = -31.304 + -0.396. Let n = 31.5 + t. Do u and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 3. Suppose 15 - 42 = -3*h. Let c be (10 + -22)\/(h\/(-24)). Let i be c\/10 - (96\/30 - 3). Give w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-15)\/((w*w**(4\/7))\/w) assuming w is positive.\nAnswer: w**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:02 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1042233 by -1.\nAnswer: 1042233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69 - 3?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -10, 4373.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -40. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 5*d + 1. Let c(x) = 7*x**2 - 9*x + 1. Let j(k) = -2*c(k) + 5*r(k). Let o(y) be the first derivative of j(y). Does 3 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/30 + 45\/75.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/85)\/((-184)\/2070)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1400)\/98 - 2\/(-7). Let w = r - -16. Solve -w*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 7*m + 25. Let t be n(10). Let v = t + 271. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -11*q + 9*q, 6 = -3*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, q: 4, v: 1, c: 1, l: 1}. Give prob of sequence llq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 12) to base 14.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.55 - -69. Let y = 0.35 - g. Let t = y - 2. Which is the third smallest value? (a) 3\/7 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62, 124, 186?\n\"Answer: 62*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-35)\/(-259)) - (-2)\/(-5). Let w(f) = f + 1. Calculate the least common multiple of w(y) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 9*s + 2. Let h be y(-8). Let m = 5 + h. Round m to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:39 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321282 = -241*n + 267*n. What are the prime factors of n?\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 2 x when four letters picked without replacement from oaxgvaxaxxnnooxannax?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -57949*p**2 + 21*p. Let x(c) = -c**2. What is u(x(v))?\nAnswer: -57949*v**4 - 21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7449149 nanometers to millimeters.\nAnswer: 0.0000007449149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-4 - -1 - -3). Let q(d) = d**2 + d + 16. Does 8 divide q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Let z(i) = -406*i**2 + 314*i**2 + 269*i**2. Give z(y(s)).\nAnswer: 177*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-100)*(-1 - -2)*(-200)\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*c + 20, -s - 5 = 13*c - 17*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -12*b**2 + 6*b - 9. Let t(u) = -24*u**2 + 11*u - 24. Determine 5*p(n) - 2*t(n).\nAnswer: -12*n**2 + 8*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 18*j - 946. Give u(40).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*k**2 + 14*d**3 + 30*d**2*k**2 + 459*k**2 + 36272*k wrt k?\nAnswer: -2*d**3 + 60*d**2 + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18\/11 (b) -0.4 (c) -1 (d) -28 (e) -1\/3 (f) 2.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/153, 0, -0.81, 0.5, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (75\/(-35))\/5 - (-5429194)\/(-14). Round b to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 6*m + 6. Let l(u) = 6*u**2 - 11*u + 11. Let a(q) = -70*q - 1131. Let x be a(-16). Give x*r(h) + 6*l(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10)*35\/1. Calculate the highest common divisor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 12:11 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**2 - 18*q**4 - 3*q**5 - 39*q**3 + 0*q**2 - 12*q - 39*q**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -229*u + 656 + 2*u**2 - 656 as i*u + x + n*u**2 and give i.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15729?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwfwfff. Give prob of picking 2 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 72752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -1.6\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45563740 is divided by 123?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.78 rounded to one decimal place?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-54)\/(-8))*75\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2485540 and 8920.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 3*j**4\/8 + 25*j**2. Let i(v) = 2*v + 3. Let z(k) = -16*k - 22. Let n(x) = -44*i(x) - 6*z(x). What is a(n(p))?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-67)\/(-5) + (-2)\/5. Let n = 12 - c. Calculate the lowest common multiple of 7 and (-1)\/(-1)*(n - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11374 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: Suppose h - 4*w - 2479 = 0, 190*h - 187*h = 5*w + 7465. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006774 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68*b*j**3 - 55*b*j + 3*b + 488979 wrt j.\nAnswer: 204*b*j**2 - 55*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148, 153, 158, 163, 168?\n\"Answer: 5*j + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 3*m + 2. Let r be p(4). Let s = 35.8 + -36. Which is the closest to s? (a) 3\/5 (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 15) to base 2.\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 - 117 = -7*p. Suppose 0 = -109*r + 113*r - p. Let g(o) = o**3 - 6*o**2 + 3*o - 7. Calculate g(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -7. Calculate the remainder when 14 is divided by (-3)\/(-3)*n - -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -63, -49, -21, 27?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*y + 49. Let v = 0 - -2. Let j be ((-1)\/v)\/(2\/(-4)). Which is the closest to j? (a) 0.2 (b) -1\/5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {q: 13, j: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -105*u**4 - 7*u**3 + 7*u**2 + 76. Let f(l) = 106*l**4 + 6*l**3 - 6*l**2 - 77. Let s(p) = -7*f(p) - 6*x(p). What is the derivative of s(w) wrt w?\nAnswer: -448*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2109 + 2145. Which is the closest to 4? (a) g (b) -0.09 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1120247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 259*d + 19. Let h(x) = x**2. Give q(h(k)).\nAnswer: 259*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*x = 10, -4*x = -1340 + 1332 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72823250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -190. Let b = -178.24 - k. What is b rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -1555, -5262, -12495, -24436, -42267, -67170, -100327?\nAnswer: -142920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 - 576*t = 0. What is t?\nAnswer: 0, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6579 - -6522.83. What is f rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4670759, -18683038, -42036837, -74732156?\n\"Answer: -4670760*s**2 + s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -73a (base 12) in base 2?\nAnswer: -10000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 18*m**2. Let x(b) = -1320795*b. Determine x(w(i)).\nAnswer: -23774310*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2739*r - 390 = -2744*r. Calculate the greatest common divisor of r and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0015 and -7781?\nAnswer: -11.6715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 1086 = -70*t + 4120 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63261 and 1199772?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**7\/2520 + z**6\/720 + 5*z**4\/4 - z. Let f(u) be the third derivative of i(u). Factor f(q).\nAnswer: q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m, 2*l - 3*m - 402 + 1 = 0. Suppose o - 88 = l. Suppose 100 = -4*j + o. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 - f**4\/4 + f**2 + 2*f. Let d be y(-3). Solve 2 + d = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12613931\/120 + 105115. What is the common denominator of 164\/(-30) + (-3)\/18*3 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 92 = 70. Suppose 4*m = i - 2*i + 24, 4*i - 5*m - v = 0. What is the least common multiple of i and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4836 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -589152 divided by -73644\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28517 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, c: 4, s: 1}. What is prob of sequence schh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10986368 or -10986390?\nAnswer: -10986390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a**2 - 459*a + 3716. Give n(7).\nAnswer: 993","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 11.9. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11917 and -3.\nAnswer: -35751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2. Let b(c) = -3*c**2 + 15*c**2 - 6*c**2. Calculate f(b(m)).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/8905 - -1787\/26715. Put -0.2, -1\/6, 4\/3, z in ascending order.\nAnswer: -0.2, -1\/6, z, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5030\/20*1\/(-4). Let x = -63 - m. Let p = -2\/85 + -32\/85. What is the nearest to p in x, -4\/7, 2\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 398, 598, 798?\nAnswer: 998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 41*x + 1\/2*x**2 + 1\/12*x**4 + 0 + 1\/10*x**5 + 1\/6*x**3. What is z(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178606230 and 1485.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323814947 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7227 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 1, j: 1, b: 1, w: 5}. What is prob of picking 1 w, 1 j, and 1 u?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104296202.\nAnswer: 2, 163, 319927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6924)\/8078)\/((-4)\/(-2)*2).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4165349 is divided by 4165340.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 11. Let n = -10 + i. Which is smaller: -0.12 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l - 12. Suppose -4 = -l*j + 4, 0 = -4*s - 2*j + 16. What are the prime factors of -7*(-6)\/21*s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14*(0 - -7 - 12236\/2208). Sort 0.07, 5, y in ascending order.\nAnswer: y, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(-3*k**2 + 0*k**2 + 5*k**2) + k**2 + k**2 - 4*k**2 - 282 + 282 - 13*k**2 in the form s + o*k + a*k**2 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 17*b**2 - 15*b + 22. Let a(y) = -y**2 + 18*y - 88. Let u be a(6). Determine m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1 (c) -30\/13 (d) 2\/5 (e) -2 (f) -2\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/40 - (-2)\/(-5). Let x = 364.1 - 364.3. Put -4, x, -3, b in ascending order.\nAnswer: -4, -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.32, -4\/3, 4\/9, -0.2?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -3 - (-43 + (19 - 1) + -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 19, -8 in descending order.\nAnswer: 19, 5, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 7*r = -80. Let z be ((-42)\/(-350))\/(12\/r - 1). Factor -9\/5*i**2 - z*i + 0.\nAnswer: -3*i*(3*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**3 + u**2 + 6*u + 4. Let d(s) = s**3 - 3*s. Determine -a(q) - 2*d(q).\nAnswer: 5*q**3 - q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 361 - 257. Calculate the highest common divisor of 88 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (610*q**3 - 328*q**3 - 313*q**3)*(4*q - q - 12*q).\nAnswer: 279*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 1, e: 5, x: 13}. What is prob of sequence ee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 + 16*x + 10. Determine f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 12:05 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 30 = 5*n, -6*n + 4*k = -2*n - 12. Put n, 5, 7, -14 in ascending order.\nAnswer: -14, n, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 168 + 168.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/((-30)\/4))\/(-2). Let y = 5 - 7. Let s be 1*(-2)\/(-4)*y. Is h bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -442, -935, -1596, -2419, -3398, -4527?\nAnswer: -5800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 37*l = -i - 958, -2*l = -i - 382. Calculate the lowest common multiple of 112 and l.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5059, 5026, 4993, 4960, 4927?\n\"Answer: -33*y + 5092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 502804 and 5595.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:42 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/9 and 51\/29?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-27) - 4\/18. Suppose m = -x + 6*x + 3850. What is x rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*v**3*x**3 + 7*v**3*x + 11*v**3 + 3*v**2*x + 1951*v*x**3 - 25*v + 2*x wrt x?\nAnswer: -60*v**3*x + 11706*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 19 - 9 = 0. Suppose q + 8 = g*t + 3, 5*q = -3*t + 14. Suppose -2*m - 3*m = t*r - 240, -5*m + 410 = 5*r. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 9. Let y be o(9). Suppose -4*a - 3*x + 21 = y, 2*x + 0*x - 6 = 0. Find the third derivative of -9*f**2 + 637 + 8*f**a - 637 wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -4 + (-2 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 6. Let a be j(-10). Suppose 2 = -3*l + a. Suppose -2*h + 161 = 3*p, 0*h + 222 = l*p - h. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311256 (base 7) to base 13.\nAnswer: -1b354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 110\/120 + (-2)\/(-15) and 21\/55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 162*x - 175*x + 1352. Calculate the smallest common multiple of 14 and x.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -22*l**2. Let w(t) = 47921*t + 519. Let j(y) = -461*y - 5. Let k(v) = -519*j(v) - 5*w(v). Calculate b(k(c)).\nAnswer: -2633752*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -276 - -43. Let u = b - -236. Solve -5*t = 2*x - 0*t - 2, u*x - t + 14 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {j: 3, v: 3, b: 2, h: 4, i: 2, q: 2}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 - 2*b**5 + 2*b**5 + (2*b**3 - 2*b**4 - 2*b**3)*(2*b + 6 - 6) - 3*b + 3*b + b**5.\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 137, 115, 75, 11?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edeeeededeeeemeddme. Give prob of sequence mddd.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390 - 165 + 766 - v.\nAnswer: -v + 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 8. Let m = 3 + r. Suppose i - 2*i + 4*s - 51000 = 0, m*i = 5*s - 204000. What is i rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.422 - 0.4219997426. What is t rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-215)\/4085)\/((-6)\/57)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 - -87. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 10*i + 12. Suppose 3*b + 383 = -190. Let f = b - -199. What is r(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-104\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q - 51 = 35*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785758.\nAnswer: 2, 392879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 + 36 - j**2 + 74 - 24 + 12 as q*j + m + p*j**2 and give m.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 6*p + 2*p - 3 + 317 - 56*p - 317 - 4*p + 3*p - p + p + 0 + 0 + (-p - 2*p + 5*p)*(1 + 0 - 2) to j*p + n and give j.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 51 = -3*f, 45 = 5*f - 10*a + 5*a. What is the least common multiple of 16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.995 - -0.005. Let s = q - 37.08. Let u = s - -0.08. What is the biggest value in 4\/7, 2\/9, u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 10:29 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -9. Suppose -2*o + g = -0*o. Calculate the least common multiple of 4 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**5\/9 - 20*b**4\/3 - 256*b**3\/9 - 16*b**2 + 1088*b\/9 + 512\/3 = 0?\nAnswer: -8, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474716?\nAnswer: 2, 11, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/124 + -133\/1116. Suppose -2*p = -2*t - 8, -4*t - 16 = p - 0*p. Let w = p + 2. Put u, w, 0.3 in descending order.\nAnswer: w, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 8. Let m(p) = -p**2 + 5*p - 3. Let u be m(3). Suppose 0 = 5*d, 3*f + 0*d = u*d + v. Solve -3*y + 7 = -3*k - y, 5*y + f = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -270113, -270088, -270051, -269996, -269917, -269808?\n\"Answer: b**3 + 18*b - 270132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 7. What is s(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 10, -4 in decreasing order.\nAnswer: 10, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 53502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -597.1369 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -55*i**3 - 3*i**2 - 3*i - 1. Let w be v(-2). Let a be 703544\/1624 - (-4)\/(-14). Let p = w - a. Is 0 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 + 46*d + 48. Give i(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1388376, 1388370, 1388362, 1388352, 1388340?\n\"Answer: -s**2 - 3*s + 1388380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(1\/2)*s**5*((s\/s**(-2\/9))\/s)\/s*s*s**(1\/3) assuming s is positive.\nAnswer: s**(109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 4*h + 14. Calculate the remainder when y(6) is divided by 980\/36 + -4 + (-34)\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10114 and 10117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -389 + 773. Suppose 33 = -3*q + h. Calculate the greatest common divisor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 2*h)*(0*h**3 - 2*h**3 + 0*h**3) - 161*h**4 - 166*h**4 - 150*h**4 + 482*h**4.\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*k**5 + j**2*k - 7*j**2 + 10*k**5 - 1 wrt k.\nAnswer: -40*j**2*k**3 + 200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-138)\/(-8))\/((-63)\/(-56)))\/(13*52\/(-507)).\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -15734770452.\nAnswer: -15734770455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, -12, -5\/31?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9542?\nAnswer: 2, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10976*t + 692*t**2 - 93*t**2 - 10977*t to j + c*t + a*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:33 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701392752 divided by -36214.\nAnswer: 19368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 36927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4443646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. Let c be h - (-5)\/(15\/9). Sort 0.5, c, -0.3 in decreasing order.\nAnswer: c, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 31856 and 31858 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 134825898619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-352)*-44*(6*1)\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b445c (base 15) in base 16?\nAnswer: -42a76d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 16*y**7\/35 + 11*y**5\/5 + 2*y**2 + 46. What is the third derivative of i(v) wrt v?\nAnswer: 2304*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/288 and 107\/140?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -201896, 15, 4 in decreasing order.\nAnswer: 15, 4, 0, -201896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 589?\nAnswer: 2\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:52 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*s - s. Suppose -d + 0*d + s = 0. Let v(m) = 2*m - 45. Calculate the least common multiple of d and v(25).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 49.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8610000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12618\/18927)\/(4\/90)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20479, 20377, 20105, 19579, 18715, 17429, 15637?\nAnswer: 13255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 263, 397?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3317*b + 1 - 3308*b + 13373*b - 3243*b - 3235*b.\nAnswer: 270*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 10. Let p be i(14). Solve p*c = -3*r, 4*c = -r + 6*r - 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*n**2 - 277*n**2 + 15 - 9*n**3 - 305*n**2 + 1001*n**2.\nAnswer: -9*n**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0701 - 3.2401. Let p = 0.17 + u. Which is the smallest value? (a) p (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33073*y = -33069*y - 1708. Calculate the remainder when 921 is divided by y.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**4 - 593444*o - 2694675?\nAnswer: -8*o**3 - 593444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-70)\/135)\/(2\/(-3))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26734.13 micrograms in grams?\nAnswer: 0.02673413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126455408.\nAnswer: 2, 59, 97, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41\/65 - 7\/195. Let g = 1.8 - 2. Which is the closest to 0? (a) g (b) v (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*u**3 - 41*u**3 + 123*u**3 - 46*u**3.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6*t - 1470. Let j = t - -462. Suppose -i = 3*i - j. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 6*l + 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - ((-28 - 44) + -149).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*3\/42)\/(8\/(-308))*(-7630)\/8393?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00322014 to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 v, and 1 n when four letters picked without replacement from hllvlllnlvnvllthl?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 take away 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 5*m - o + 4, 3*m = o - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 345 divided by 18\nAnswer: 115\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/35*1\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 373*f - 372*f + 2, -2*f + 1 = -c. Solve f = 44*o - 12*o + 192 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1093*n**4 - 13088*n**2 + 4722 - 13101*n**2 + 26186*n**2 with respect to n.\nAnswer: 4372*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-21))\/(110\/(-35))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9597.1535 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 37859.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) + 2\/1. Suppose -i + 2 = -f. Let v be (f + 1)\/(-5 + 3). Let z(d) = -d**2 + d + 2. Give z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/340)\/(3\/(-2)). Let a = j - -112\/2465. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023224446 take away -4?\nAnswer: 4023224450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*s - 3 = 0, -2*s = -7*s. Let l be (d\/(-2))\/(3\/(-114)). Let k = l - 12. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 11*a + 460 = 0. Let g be a\/16 + (3 - 22\/8). Solve g*i - 8 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-52)\/65 + (-2)\/10. Let o(j) = -176*j**3 - j**2 - 5*j - 4. Let z be o(g). What is the highest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-29 - (-87 + 49))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-739340)\/105)\/(4\/(-6))?\nAnswer: 2, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52959*g - z = -52964*g - 75, -4*z = -3*g - 45 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.2102 to 0 dps.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)*199\/(-1). Suppose 328 = -4*b - 2*u, u = -b - 52 - 29. Let q = l + b. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.007*0.04\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3138 - -3124. Sort -0.1, u, -3\/2, -1\/9, 5 in decreasing order.\nAnswer: 5, -0.1, -1\/9, -3\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 130, 120, 98, 58, -6, -100, -230?\n\"Answer: -u**3 - 3*u + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -480 + 560. What is the highest common divisor of 60 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 968 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*((l\/(l**1*l*l))\/l)\/l*l*l))**(5\/8)\/(l**2\/l**(-3))*l**(-2\/15)*l**(-7)*l*(l**(1\/3))**(1\/24) assuming l is positive.\nAnswer: l**(-3553\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8954)\/726)\/(20\/(-120))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgytfyytyyfy. Give prob of picking 1 f and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = x, -3*x = 9*b - 6*b. Let l(m) = 2*m**2 + m - 1. Calculate l(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 866022, 865988, 865952, 865914, 865874, 865832, 865788?\nAnswer: 865742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -393146, -786299, -1179452?\n\"Answer: -393153*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.027 and -4.9054.\nAnswer: -0.8784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 + -16 + (-3 - 5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0 + 11\/24*r**4 - 3\/40*r**5 + 1\/4*r**3 - 1\/60*r**6 - 5\/2*r**2 + 109*r. What is m in s(m) = 0?\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1 = -a - 8, 7 = 3*a - 2*w. Does 7 divide ((-2)\/(-6))\/(a\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*v = -8, v = -2*l + 2*v - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4428, 4431, 4434, 4437, 4440?\nAnswer: 4443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232251751 and 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 22. What are the prime factors of h(41)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1878.272 years?\nAnswer: 18.78272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2674 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/(-60) + (-1)\/(-5). Let y = -0.1 + 0.2. Let f = -0.389 - 0.611. What is the closest to f in p, y, 2\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 26*l - 85. Let k be u(-22). Solve 0 = c + k*s + s + 19, 3*c - 2*s + 1 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15087718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 61, -5\/4 in decreasing order.\nAnswer: 61, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 2:36 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7748399130 rounded to the nearest 1000000?\nAnswer: 7748000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*i = 133*i - 25150. Let p = i - 5029\/2. Let -p + 1\/4*m**3 + 0*m**2 - 3\/4*m = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12324 and 187369356.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 3*v**5\/10 + v**4\/12 + v**3\/2 - 3*v**2\/2 - 6*v. Let f be z(2). Let q = f - -376. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43356 or 130066\/3?\nAnswer: 130066\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + 5 + (((sqrt(88) + -1*sqrt(88))*-5)\/(-2*sqrt(8)*4) - (1*sqrt(176))\/(1*sqrt(64)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and 7\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 0 + -4 - (-1 + (sqrt(3) - ((sqrt(3) - -4*sqrt(12)\/sqrt(4)) + sqrt(3)))))**2.\nAnswer: -66*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83355200 a multiple of 2360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 63 = -0. Let x = 75 + -19. Let t = x + f. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**10\/75600 + i**9\/15120 + i**8\/10080 - i**5\/30 + i**2. Let g(n) be the third derivative of b(n). What is t in g(t) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p. Suppose -s - 4*s = p. Let t(q) be the second derivative of -q**3\/6 - 3*q**2 + q. Calculate t(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 1}. What is prob of picking 1 w and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-352)*40)\/(3\/(-10)) + 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 46 = 29*p. Let y(s) = -s + 4*s - 1 - 7*s + p*s. Calculate y(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b - 10. Let h(d) = 1. Let x(f) = 4*h(f) + r(f). Let v be (12\/15)\/((-6)\/(-45)). Determine x(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 20. Let h be i(-12). Let g be (-1)\/2*(-3 + 3). Which is the third biggest value? (a) 1 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22.3 + -33. Let r = c - -75.7. Let f = r + -76.9. What is f rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**4 - 5*k**3 - 6. Let w be (-5*2)\/(-2 + 0). Let j(y) = -5*y**4 + 6*y**3 + 7. Let a(i) = w*j(i) + 6*g(i). Differentiate a(z) with respect to z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/13*(4\/(-6))\/(-1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -32. Are o and 17.8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s - 125. Calculate k(-7).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 26*n - 81. Calculate g(-21).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3 - -1.8. Suppose -5*q + 17 = 3*h, 4*h + 3*q + 0*q = 8. What is the third biggest value in x, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:38 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174.80971 rounded to the nearest ten?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 3757?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m*m)\/m)**(2\/69)\/((m*m*m*m**(-1)*m)\/(m**(-1\/4)*m)) assuming m is positive.\nAnswer: m**(-629\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - -6 - 11) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 31, 75, 137?\n\"Answer: 9*a**2 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*a + 447, 4*q = -q + a + 439. Calculate the remainder when q is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 3*a + 4*a)*(-4 + 4 - 2*a)*(a**2 - 56*a**2 - 36*a**2).\nAnswer: -364*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*j - 146 = 3*j, 0 = -c - 2*j + 80. Let x be (29 - 1)*(c + -21). Let s be 4\/(-7) - (-460)\/x. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (11 - -9) + -13 + 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u. Let f = -187\/4370 + 2\/95. Let d = f - -51\/230. Which is the closest to 0? (a) d (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 4, g: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -158*j**2 - 3*j. Let k(t) = t. What is n(k(x))?\nAnswer: -158*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 1. Let i = 6 + -18. Let q be g(i). Let m(y) = 2*y**2 + 13*y - 29. List the prime factors of m(q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 68 (b) -0.04 (c) -1 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34455683.\nAnswer: 19, 29, 62533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -532.262 to 0 dps.\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**4 - 4*j**3 + 3*j**2 - 10*j. Let d(x) = -3*x**4 + 3*x**3 - 2*x**2 + 7*x. Let g(n) = 7*d(n) + 5*s(n). Let g(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 + -67. Suppose y = 4*w - 2*u, u - 28 = -3*w - 4*u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419.26 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 18*u**2 + 2*u + 4. Let h be 6\/4 + (-7 - (-72)\/16). Let t be f(h). Solve 0 = -j + 5*j + t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwwg when four letters picked without replacement from gwwwwgwwwwwwwwwgwwwg.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2719 - 2719.5. What is the nearest to 4 in -16\/7, -6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -25. Let y be (4\/(-10))\/((-4)\/(-120)). Let m = y - -39. What is the remainder when m is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395680 is divided by 1218?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - 71\/2. Let p(h) = -4*h - 90. Let b be p(-32). Let m = u + b. Solve -4 + m = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 6. Let k = -172 + 194. Suppose 3*a + 4*f + 10 = -13, 0 = 3*a - 5*f - k. Let s(z) = z + 1. Calculate a*t(c) + 4*s(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1719682, -3439364, -5159046, -6878728, -8598410?\n\"Answer: -1719682*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 82793.093 to the nearest 10.\nAnswer: 82790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 13, m: 5}. What is prob of picking 4 m?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -1\/45*t**6 + 1\/18*t**4 + 4*t + 0 + 0*t**3 - 1\/30*t**5 + 0*t**2 + 1\/63*t**7. Solve v(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3196222.\nAnswer: 2, 1598111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 255, 299, 351, 405, 455, 495?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -1320303?\nAnswer: -1320303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**5\/60 + q**4\/4 + q**3\/3 - 33*q**2. Let k be (-1*6)\/1 - -1. Give f(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, a: 4, s: 3, v: 1}. What is prob of picking 1 a and 1 s?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 2*l**2 - 15*l - 44. Suppose -4*u = 4*x - 68, 7*u - 11*u - 2*x = -60. Is t(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**8\/60480 - 7*f**5\/12 - 34*f**2. Let n(t) be the third derivative of l(t). Factor n(c).\nAnswer: -c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (156\/(-54) - 5)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10200*l - 168 = 10208*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 8. Suppose 23*m = 7*m + 181 + 187. Determine q(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5635\/19 (b) 6 (c) -1\/74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 210951895 (b) 2\/9 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-4) + 1\/22 and 0\/12 + (-3)\/(36\/94).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -3.4. Let h = -15476 + 15471. Which is the smallest value? (a) -0.3 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 2*-2*sqrt(76) + sqrt(76) + sqrt(76) + (sqrt(76)*-1 - sqrt(76))*5 + sqrt(76))\/(sqrt(40)\/(4*-1*sqrt(10))).\nAnswer: 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -5\/4, -102, 1, 2\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671201*m - 54 = 1671203*m - 4*f, -3*m - 21 = -2*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 16 = 4*o, 0*o - o - 4 = -5*u. Let s = 2905 + -2905.2. What is the nearest to 0 in u, 2\/13, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r - 2*r**3)*(-54 + 109 - 60) + (r + 0 + 0)*(-2*r**2 - 4*r**2 + 5*r**2) + 3*r**3 + 20*r**2 - 20*r**2 as q*r + o + i*r**2 + g*r**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - 0. Let j(r) = -7 - 3 - r**2 - 21*r + 6*r + 5*r. What is the units digit of j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -5426?\nAnswer: -541b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10283*f + 5*f**3 - 1 + 3*f**3 + 10282*f to the form u*f**3 + w + i*f + o*f**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/3 - 2)\/(-1). Suppose -z + 5*f = 8, -3*z + 4*f + g - 3 = 0. Let v = -121 + 487\/4. Which is greater: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 7857.\nAnswer: 7857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, r: 1, n: 1, h: 4}. Give prob of picking 1 n, 1 s, and 1 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 434*l**2 - 5033*l + 13093. What is w(-422)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102442023 (base 5) in base 12?\nAnswer: 190b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + 3*h**2 - 5*h**2 + 0*h**4 + 1)*(-52*h + 68*h + 63*h).\nAnswer: 158*h**5 - 158*h**3 + 79*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -102885450 divided by 3429515\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4393 (b) -2\/13 (c) 0.1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32520 + 48205. Let j = -15712.041 + u. Let i = j - -27. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27594 and 1022?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22672*i**2*v*z**3 + 4003*i**2*z**2 + 745*v*z**3 + 4*v*z + 63*z**2 wrt z.\nAnswer: -136032*i**2*v + 4470*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r + 4. Let h(u) = -u**2 + 9*u - 17. Let b be h(7). List the prime factors of p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922791 is divided by 247.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 75580.73cm?\nAnswer: 755807300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g - 10 + 2*g**3 + 5*g**2 - 3*g**3 + 1. Let a be w(6). Let o = 10 - 10. Solve -a*s + o*c + 25 = 5*c, -5*c = -4*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*v = 4*v + 3280, -2*v = -g + 820. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279018791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-110) + 12\/(-308)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3380 - 3369. What is the fourth smallest value in -4, 1, -3, n, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525956 minus 3212490?\nAnswer: -2686534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 5*x + 4. Let s be l(5). Suppose 2*h - s = 2. Solve -4*v + v + h = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 8 + -3 + -3. Let i(k) = 2*k**3 - 6*k**2 + 2*k - 2. Let l be i(t). Is -1 - -2487*l\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -140 + -147?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:56 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15063 * -0.2.\nAnswer: 0.030126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -880 + 919 = 39*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 - 8*v - 53. Let m be r(-7). What is the third derivative of -9*d + d**2 + 179*d + 53*d**m - 17*d - 292*d**3 wrt d?\nAnswer: -1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186096 + -186098.7. Let f = 447\/5 - 90. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20055.33 millilitres in litres?\nAnswer: 20.05533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 c when three letters picked without replacement from {w: 3, x: 4, c: 13}.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13464.9 + 13465. Which is the closest to -1? (a) 7\/26 (b) -3 (c) o (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295516482*y**6 + 126289285*y**2 wrt y.\nAnswer: -35461977840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -109*w + 1470. Calculate x(13).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 16 (c) -2\/7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2513, 2521, 2527, 2531, 2533?\n\"Answer: -c**2 + 11*c + 2503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 458 and 56.\nAnswer: 12824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkktqtktllsqqgt. Give prob of sequence tq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/2086490 and -107\/110.\nAnswer: 22951390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b = 453 + 132 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128*3\/(-18)*(-579)\/(-386)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, b: 2, j: 2}. Give prob of picking 2 j, 1 b, and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 299468 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (0 + -2 + (-1 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -718.469 rounded to the nearest ten?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 3:59 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101101 + 1001010011110001?\nAnswer: 1001000111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-1080))\/(22\/33).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 3*p**5\/5 - 9*p**4\/4 + 3*p**3 - 3*p**2\/2 + 59. Determine f so that r(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 19499864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 5*u + 8. List the prime factors of r(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (32 - 7) + 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.9166754 microseconds in weeks?\nAnswer: 0.0000000001470183125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 941177 and 0.14?\nAnswer: 941176.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - 4.6. Let g = 2.89 + 0.11. Sort 2, a, 5, g in decreasing order.\nAnswer: 5, g, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -2*l. Let k(z) = -1. Let c(t) = 11*t + 4. Let y(h) = -c(h) - 2*k(h). Let a be y(-2). Calculate the highest common divisor of a and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1829 + 9143\/5. What is the nearest to i in -3, -4.2, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 8:49 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659299 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p - 1. Let r be z(-1). What is r rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 38. Let h(y) = -9*y + y + u*y. Let q(t) = 0*t + 0*t + 2*t**2. Give q(h(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2665 + -2440. What is the remainder when h is divided by 80?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 + 3 = 2*v, -3*v = -3*j. Are v and -1\/49 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1649, -61, 89 in decreasing order.\nAnswer: 1649, 89, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -63*o + 1576. What is g(25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359.5392um to millimeters.\nAnswer: 0.3595392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43105*-0.3\nAnswer: -12931.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.6973 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + 10*a + 2. Calculate w(5).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:52 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1279*w - 4738*w - 841*w - 1897*w to v*w + o and give v.\nAnswer: -6197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-6) + (-4 - -1) + -3 + 74290\/14820\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 7)*(1 + s - 1 + (1 - 3 + 3)*(3*s + s - 2*s)) to the form x*s + u and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(153)*6 - sqrt(153))\/(sqrt(81) + sqrt(81)*2 + sqrt(81) + sqrt(81) - sqrt(9)).\nAnswer: 11*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soo when three letters picked without replacement from {s: 3, o: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2368.1 - 2368. What is the closest to -98 in 2\/7, m, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.5, -2, -4\/7, -23, 0.1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -378\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (21*7\/196)\/((-90)\/(-16))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 w, and 2 x when four letters picked without replacement from {p: 3, x: 5, w: 1}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -891773 = -282*o + 8371. Is 69 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:35 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/392 and 59\/4256?\nAnswer: 29792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - (-5)\/(-21). Let l = -0.4 - -1.4. Let x = l - 2. What is the smallest value in q, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/40)\/(18\/8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - 2*h + 12. Let w(n) = -3*n**2 + n - 5. Give 2*a(d) + 5*w(d).\nAnswer: -3*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2\/19, 1\/3, 1, -5 in ascending order.\nAnswer: -13, -5, -2\/19, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117771 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1184\/80 - 15)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100 - -10000001?\nAnswer: 11010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15.2 + -15. What is the nearest to 3 in -0.4, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28631\/56439 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9006, -8980, -8938, -8880, -8806?\n\"Answer: 8*j**2 + 2*j - 9016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:36 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**2\/13 + 43258*r\/13 - 21630\/13 = 0.\nAnswer: -10815, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/22542483 and 83\/78648?\nAnswer: 180339864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 7:04 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2540 - 17*m - 2540 + 18*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 divided by 3?\nAnswer: -439\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g - 169. Suppose 213*v - 55 = 208*v. Let p be k(v). Let j = 11 + -9. What is the greatest common factor of p and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 10*h**2 - 18*h - 11. Let y be d(-8). Find the third derivative of 0*s**5 + 2*s**4 + 8 - 49*s**6 + 13*s**6 + 0*s**y + 2*s**2 wrt s.\nAnswer: -4320*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 + 8.71. What is the third smallest value in 1\/4, -2\/13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 6*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 - ((-17885)\/357)\/5. Let y be 1*(1 + -3 + 1). Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(70\/45))\/((-9)\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 88 - 185?\nAnswer: -fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 80*r + 80. Let f be a(1). Sort -0.3, -6\/49, f, 0.4 in decreasing order.\nAnswer: f, 0.4, -6\/49, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:15 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*g + 272 - 107 = -186*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1986*p = -2027*p + 1864352. Does 232 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 3*i - 42, -244*i - 126 = -2*x - 236*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w\/(w\/(w**3\/w)))\/w)\/(w*w\/w**(2\/3)))\/((w\/(w\/(w**(-1\/4)\/w*w*w)))\/w*w**(-1\/6)) assuming w is positive.\nAnswer: w**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*q - q + 13, -q - 2 = 2*f. Suppose -f = 2*g - 11. Suppose -5*r + 4*r - 4 = -3*n, -2*n + 6 = 0. What is the highest common divisor of r and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2*v**3 - 2*v)*(-3 + 3 + 2) - 15858*v**2 - 185*v**3 - 17*v - 13*v**3 - 15854*v**2 + 31712*v**2.\nAnswer: -202*v**3 - 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8803151 is divided by 2707?\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 131 + 64. Let w be x + (-3 - 1) - -4. Let d = w + 59. Solve 2*v - 16 = 2*c, -3*v = -c + 2*v - d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*w**3 + 37*w**2 - 32*w - 12 = 0. What is w?\nAnswer: -6, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(-1 + -4*sqrt(2736)) + 1)**2*4.\nAnswer: 3072*sqrt(19) + 2801680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 16. Suppose 0 = r - d - 0. Suppose 5*p + s - 60 = -2*s, 4*s = -3*p + 25. Solve -4*l = -5*v + 15, l = -r*v + 3*v + p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**6\/280 - 3*t**4\/56 - t**3\/7 + 3*t**2 - 22*t. Let z(n) = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/28 + (-19)\/(-7). Let o(s) = s + 3*s**3 + s + l - 4*s**2 + 0. Is 18 a factor of o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*n = -17, 5*w + 5 = 10*w + n. Suppose -6*i - 5*z + 1069 = -w*i, 0 = 5*i + 3*z - 1333. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 20*p - 48. Let k be h(-22). Let t = -4 - -7. Let c(w) = 5*w + t - 10*w + 3. Let i(n) = 11*n - 13. Determine k*i(q) - 9*c(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 477042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 5\/2 (c) -1\/519 (d) 3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184210 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116.85 + 117. Which is the nearest to j? (a) 1\/4 (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c - 381588 = -46*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47924, 47922, 47920, 47918, 47916, 47914?\nAnswer: 47912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 340\/31 - 4265\/403. What is the nearest to 1 in 3, -2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + f - 1147, 711 + 173 = 4*k + 5*f. Calculate the remainder when k is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.484 + 4.516. Put -0.3, -12, a, 2 in descending order.\nAnswer: a, 2, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -85\/3 (c) 2 (d) 0.7 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1210913360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/2 + 14. Let k be ((-1)\/2 + 1)\/1. What is the closest to y in k, 5, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.2 (b) -0.3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -172, -208, -280, -400, -580?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.3. Let v be (10 + -1)\/(2\/4 - -1). Is v smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from vfvrvrrvrrvrvv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose -3*s + 8*s - 112 = -4*r, -3*s + 12 = 0. Let d be 2 - (-8 - (0 + 2)). Solve -4*w - i*y = r, -3*w - 4*y - 14 = d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (((sqrt(153) - sqrt(153)*2)*-6)\/(sqrt(9)*2*3)*1 + -5)*-4)**2.\nAnswer: -256*sqrt(17) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16643700 - 15788341?\nAnswer: -32432041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1563*p**5 - 11934*p**3 + 6819*p**3 - p - 1564*p**5 + (2*p**5 + 0 + 0)*(4 + 0 - 2).\nAnswer: 3*p**5 - 5115*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247990618.\nAnswer: 2, 123995309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdxb when four letters picked without replacement from {d: 3, x: 1, s: 4, b: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -4.4 (c) 2 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815000 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 3754*n**2 - 59392*n + 297760.\nAnswer: -2*(n - 4)*(n + 20)*(n + 1861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570031.2 rounded to the nearest one thousand?\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-10)*c*c**(3\/4))\/(c*c**(-2\/5))**(-2\/79) assuming c is positive.\nAnswer: c**(20169\/1580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303322 - 30?\nAnswer: -303352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000350705382 rounded to 7 dps?\nAnswer: -0.0003507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329.1018 litres to millilitres.\nAnswer: 329101.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 88 + 288 = 3*u, 0 = -5*u + 5*p + 340. Let t be 22\/10 + (-14)\/u. Solve -3*d + d = t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let r be z\/(5*(-6)\/(-15)). Suppose r*x - 55 = 38. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6904858 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - d. Let f be o(3). Suppose f = 3*m - 3. Suppose 5*l - 190 = -5*y, 0*y = y - m*l - 18. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13)\/(g**(2\/5)\/g*g))**31 assuming g is positive.\nAnswer: g**(-2077\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29869*n**2*p*u - n**2*p*y**2 - n**2*y**2 + 16489*n*p*u*y - n*y**2 - 2*p - 3*u*y**2 wrt n?\nAnswer: 59738*p*u - 2*p*y**2 - 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m - 2 = 0. Suppose 4 = -3*w + c, -4*w - 5*c - 13 = 5. Sort m, w, -4 in ascending order.\nAnswer: -4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15721548 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -19 + 7. Let u = m + 5. Let z be 21 - (1358\/70 + 2). What is the closest to -1 in 1\/10, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 529*g - 543*g + 196 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) 3 (b) 4597 (c) 1 (d) 2 (e) 200\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 17*y**2 - 20*y - 25. Calculate the remainder when 19 is divided by o(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 40 = 4*l, 0*t = l + 2*t - 10. Let g = 11 - l. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d**2 + 3 - 3)*(-209*d + 14*d - 4*d) as b*d + n*d**3 + k*d**2 + l and give n.\nAnswer: -1393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let j(l) = -6*l. Let s(u) = 2*j(u) + 11*t(u). Let d(n) = -23 + 23 + n. Calculate s(d(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 13692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = 8*s - 238. Put 1, -43, s, -4 in increasing order.\nAnswer: -43, s, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5106 - 5086. What is the remainder when 1031 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*h + 3 = 7*h, 4*y - 2*h - 12 = 0. Suppose 2*w + 2*z + z = 1319, 3*w - 1986 = -y*z. List the prime factors of w.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6988 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 223902350 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 90 = 5*o, o - 2*o + 4*y + 6 = 0. Suppose 6 + 18 = 12*l. Let b be 6 + l*42\/(-4). Is b at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4edc9 (base 16) to base 5\nAnswer: -40314032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + -4 + (sqrt(1152) - 1*(sqrt(1152) + 2 + sqrt(1152))) + sqrt(1152) + 0)*-3)**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79720 plus -0.2?\nAnswer: -79720.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-40)\/(-24) + (-2)\/(-6). Suppose 20 = 5*o - 10*o. Let w = j - o. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -590 - -1299. Let i = 758.1 - g. Let o = -63 + i. Round o to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/7)*c*c)\/(c*c**(-5)))**(-36))**34 assuming c is positive.\nAnswer: c**(-53856\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.2, 20, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 24 = -2*m, 4 = 5*b - 2*m - 40. Suppose -5 = 3*l + b, -2*s + 3*l - 759 = 0. Let r = s - -688. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 109 = 321*h - 318*h, -h = -3*m - 35. What is the greatest common divisor of 361 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/24 + (-2)\/(-6). Let d = -126 + 210. Suppose 5*p + 3*q - q = d, 0 = -4*q - 12. What is the highest common divisor of n and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11290650*s. Let i(b) = b. Give u(i(j)).\nAnswer: -11290650*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184642241 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 15 = 185. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by 285.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395143319 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1191, -1192, -1193, -1194, -1195?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3969108*m - 1755290 wrt m.\nAnswer: -3969108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17759, -17758, -17757?\n\"Answer: s - 17760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**3\/(o\/(o*o\/((o\/(o**(-2\/43)\/o))\/o)*o*o)))\/(((o**(8\/5)*o*o*o)\/o)\/((o**(2\/13)\/o)\/o)))**(-21) assuming o is positive.\nAnswer: o**(28917\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20*55\/(-165)*(4 - 10) is divided by 2\/(-9) + (-404)\/(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 127 = -75. Solve -s - 2 = -3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 + 5*r**2 - 4*r - 2. Let z(u) = -6*u**3 + 14*u**2 - 11*u - 6. What is -11*p(a) + 4*z(a)?\nAnswer: -2*a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2639 or -2?\nAnswer: 2639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05179559 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388\/10 + 1\/5.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.29978 - 1?\nAnswer: -40.29978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7496298 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -2\/27 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 3118972?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199.\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q + 3. Suppose 5*t = -2*x + 10, 23 = 5*x + 3*t - 2. Suppose 2*y + x*j - 40 = -3*y, -3*j = -15. Let u(k) = 6*k + 4. What is y*n(r) - 2*u(r)?\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 847*d - 22. Is o(1) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 15*p**2 - 18*p + 33. Let t be f(16). Which is smaller: t or 17\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/60 - k**4\/3 - 7*k**2. What is the second derivative of i(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130030003 (base 5) to base 13.\nAnswer: 18c445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1254519 is divided by 188?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqaqaqaaaaqaaaaaaqaa. Give prob of picking 3 q.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0, 26.2, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215899.\nAnswer: 215899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h**3 + 12*h**2 + 4*h. Let a(y) = -y**2. Suppose 0*r = -2*r - 2. Let d(w) = r*b(w) - 4*a(w). Factor d(u).\nAnswer: 4*u*(u - 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4933\/2 < -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 195462 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 204, 415, 616, 801, 964, 1099?\n\"Answer: -g**3 + g**2 + 215*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29588836 - -13215.08\nAnswer: -29575620.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6579*y + 67. What are the prime factors of q(1)?\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7556 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b - 7. Let i(a) = 13*a - 15. Let m(v) = 923*v - 1066. Let q(n) = 143*i(n) - 2*m(n). Calculate 6*q(f) - 11*w(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 + 0)*(15*w + w + 3*w) in the form q*w + t and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 30*q**3 - 9*q**2 - 23*q + 14. Let t be z(-6). Is t*(1 - 15\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30949316 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 523\/5 - (8 + 185\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/325541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(135)*1)\/sqrt(5))**2.\nAnswer: 12*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, -24\/167, -0.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + ((-88)\/(-220))\/(2\/480)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1461982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 16*i - 30. Let n be u(2). Solve n = 5*z - 5*t + 32, -4*z = 2*t - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116520 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*v - 2*b, -28*b - 6 = -v - 27*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1598154 = -457*c - 1599525 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) -0.3 (c) -2\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:19 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1540*v + 76587 + 54313 for v.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - 19 - 11\/(88\/(-48)). Are -68 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -6. Let k(o) = 2*o**2 + 3*o - 2. Suppose 0 = 6*t - 4*t - 14. Calculate the remainder when k(q) is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 510. Let b = s - 90. Which is smaller: 319 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 - 3)*(2*w - 6*w - w) + (-1 + 0 - 1)*((19 - 19 - 10*w)*(-1 - 2 + 1) - 6*w + 15 - 15))*(2 - 2*w - 2) to the form k*w**2 + h*w + x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 23*v**3 + 58 - 7*v**5 + 16*v**3 + 5*v**2 + 77*v**3 - 24*v**3 wrt v.\nAnswer: -420*v**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(85)*-1 + sqrt(85)))\/(sqrt(45)\/sqrt(144)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/68 and -89\/5474?\nAnswer: 10948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*g + 92. Suppose 309 = 2*v - 5*j, -3*v - 756 = -8*v - 4*j. What is the highest common factor of v and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 567 - 33 = 0. Does 50 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 5 - (-1 - (0 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 234 = -96. Calculate the highest common divisor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*f - 0*f - 15, 0 = 4*f - 12. Suppose -4 = -2*r - i, -i - 1 = r - 5. Let l be (-5)\/1 - (v + r). Sort 1, -4, l in ascending order.\nAnswer: -4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 + -1 + 2. Suppose -74 = -6*d + 2*d + s, r = 3*d + 5*s - 67. Suppose d = f - 16. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -651 + 649.43. Which is smaller: x or 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -33*v. Let a(w) = 3*w + 21. Give a(l(c)).\nAnswer: -99*c + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**3 - 5*i**2 - 5*i + 16. Let g(f) = -18*f**3 - 7*f**2 - 7*f + 24. Let m(a) = 7*b(a) - 5*g(a). What is the derivative of m(t) wrt t?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 122*o - 8. Let c(i) = 123*i - 13. Calculate 2*c(q) - 3*r(q).\nAnswer: -120*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 63, 128, 193, 258?\n\"Answer: 65*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -24. Let y = 58.5 - r. Which is the closest to -0.1? (a) y (b) -8 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810 = 49*c - 118*c + 111*c + 382 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 4*r + 2*r)*(-r**3 + 2*r**3 + r**3) + (3*r**3 + 4 - 4)*(-r - 2 + 2 + 0 + 0 - 2*r + 4*r - 2*r - r + (-1 - 2 + 1)*(-4*r - r + 3*r) + 2 + r - 2).\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7137 - -9958. Is w > 2821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 6974\/21*f + 332 + 2\/21*f**2 = 0.\nAnswer: -3486, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-21)\/(6 - 9). Solve 3*x + 2*x + 3*k = -o, -5*x - 4*k = 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*z + l, z - l - 2 = -0*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4667830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 4\/(-14) + 0. Let x = 0.2 + 0.3. Which is the closest to v? (a) 2\/7 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 0.1, -3, 0.67?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952586 is divided by 678?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -2. Which is the closest to 1\/4? (a) 5 (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 529611?\nAnswer: 2\/529611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/(-18)*(8\/(-6) - 0). What is the closest to 0.1 in k, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -3 (c) 0.16 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 5 (b) -4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r + 5 = 0. Suppose -3*b + 13 = 3*l + 2*l, -b - r*l + 21 = 0. Let v = b - -12. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:41 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564 + 33*o - 24*o + 83.\nAnswer: 9*o + 647","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11204, 22454, 33720, 45008, 56324?\n\"Answer: m**3 + 2*m**2 + 11237*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-6*sqrt(88)\/sqrt(200) - -2*(sqrt(11) - -2*(0 + sqrt(11)) - sqrt(11))) + -3)**2.\nAnswer: -84*sqrt(11)\/5 + 2381\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/(3\/((-60)\/65)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((0 + sqrt(304))*-5 + 2 + sqrt(304) + -3)**2)*-3.\nAnswer: -14592 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -336*p**4 - 4*p**2 - 5*p**2 + 3*p**2 + 100*p**4 - 3*p wrt p?\nAnswer: -5664*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 10 = -6*n - 4*l, 0 = -5*n - 5*l + 25. Suppose -2*u = t - 5*u - 92, n*u = 3*t - 264. List the prime factors of t.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 - 28*q**5 + q**4 - 3*q**4 + 29*q**5 + 4*q**4 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - l**3 - 3*l**3)*(-2 - 3 - 10)*((2 - 3 - 4)*(0 + 0 - 1) - 4 + 0 + 2).\nAnswer: 45*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 442 - 268. Suppose p = -5*p - h. Let b = 5 - p. Calculate the remainder when 134 is divided by b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 59 = -7*i. Let h be (1 - (-1 - -1))\/(-1). Let c be (-2 - h)\/(14\/(-56)). Solve -c*u = -u + i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 8*z**2 - z + 11. Let t be u(-10). Suppose -226 = -5*l - t. Solve 2*b - l = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 619599289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 6*l**2 + 5*l - 2. Let g be p(5). Let w be g + (2 + 0 - 0). Let o = 4 - 3. Sort w, o, -4 in increasing order.\nAnswer: -4, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476.7 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-46)*2\/6. Let j = -9 - -15. Let o = 6.1 - j. Which is the closest to o? (a) f (b) 0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114248 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -35*q**2 - 2*q - 1. Determine c(-2).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8916924273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 1, d: 1, e: 2, i: 8, b: 3}. What is prob of sequence dtc?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 2*u, 0 = -4*k - 5*u + 6. Solve 0 = -0*l - k*l + 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/112 - 10\/(-175)*-5. Let s(n) = 7*n**2 + n - 1. Let z be s(1). Let v be -1 + 32\/z + -3. Put -2\/3, i, 13, v in increasing order.\nAnswer: -2\/3, i, v, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 7, 1, -6, -4658 in increasing order.\nAnswer: -4658, -6, -2, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (50 - -4) + -66 + 82\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.056000377 + -0.056. Round f to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 202001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1470, -2827, -4200, -5595, -7018?\nAnswer: -8475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l = -51*l + 1288. Suppose l*s - 160*s + 22 = 0. Are -9 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411444919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -2, 0.141041, -0.08, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(3\/(-28)). Suppose -2 + x = 3*p. Suppose 0 = -4*g + 20, p*g = -4*v + 32 + 4. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**7\/105 - 1333*b**6\/120 - b**4\/12 - 1240*b**3\/3 - 4391*b**2 + 1. What is the first derivative of m(o) wrt o?\nAnswer: 8*o**3 - 3999*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2247 - 1360 + 630)*(-1 + 3 - 3)*(-n + 3*n - n**2 + 0*n) to the form s + i*n + x*n**2 and give x.\nAnswer: -2977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*s - 28 + 30 = 0, 4*s = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 - 2*o**4 + o**4)*(2 - 3 - 1).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4. Let t = 14 - 5. Suppose 3*z + 0*z - t = -b, -b + 4*z = -2. What is the remainder when b is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19))**(-2\/69)\/(s**17\/(s**(2\/3)\/s)) assuming s is positive.\nAnswer: s**(-386\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7446888 is divided by 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -60, 115, 468, 1059, 1948?\nAnswer: 3195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*-2*sqrt(171) + sqrt(171) + sqrt(171)))\/(-6*sqrt(63)\/(sqrt(7) - (sqrt(7) - sqrt(7)*2))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1215 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-33) + 45\/(-15) + 7?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168 + 180. Suppose 4940 = o + u*o. What are the prime factors of o?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 5. Let n = 4 - -3. Suppose 3*s + n = -20. Let t(l) = 4*l + 11 + l - 3*l. Give s*j(x) - 4*t(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 223309*b**3 + 4689859*b**2 - 15856379*b + 11389830 = 0. Calculate b.\nAnswer: -223330, 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 27440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 964*p**2 + 334*p + 4167. Determine v(-321).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 2*f - 42, 3481*w - 3477*w = -5*f - 33 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -81b6 - 1290c?\nAnswer: -1aac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:44 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -24, 10 in decreasing order.\nAnswer: 10, 4, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442 divided by 6257.\nAnswer: 442\/6257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4636 divided by 122?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/(-19 + 117\/6).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252000 divided by -4500?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-108) - 3)*(-6)\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*j**2 - 6*j**3 - 70*j**2 - 64*j**2.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 565, 1197, 1829?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 963 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.29 + 0.89. Let w = 3 - x. What is w rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 3*b + 4. Suppose 6*q + 22 - 262 = 0. Let j = q - 52. Let a = j - -15. Determine g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 40 = 9*y. Suppose 2*q = y*f, 0*f = -4*f - 5*q. Solve -a - 4*d + 3 = f, d = a + 3 + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23.6374 and -2.\nAnswer: 21.6374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (4 + -7) - (29 + -77 - -52).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - u + 11 = u, 0 = -3*c - 3*u + 9. Let z = 34333\/17 - 2022. Is c less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**2 + 6*h + 7. Let b = -119 + 146. Let r(n) = -n**2 + n - b + 17 + 11. Give 6*r(a) - z(a).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*w**3 + 29 + 11*w**3 - 29 - 20*w**3.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3688*l - 22133. Let p be f(6). Let x(o) = -3*o + 2 + 5 - 1. Let z(q) = 5 + 2*q - 5*q + 0. Give p*z(i) + 4*x(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2971967 and 0.6251666.\nAnswer: 0.9223633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:47 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 57 = 3*k, 5*o - k = 255 - 2. Suppose -o = 2*l + 43. Let j = -22 - l. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, -0.5, -2, -5, -0.3 in descending order.\nAnswer: -0.3, -0.5, -2, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 397572\/11704 - 34 - (-4)\/(-38).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i*i**(-4\/19)*(i**(-2\/5)*i)**(-27))**(-9\/7) assuming i is positive.\nAnswer: i**(15741\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 316 + -367. Let n = k + 55. Solve 5*s - 15 = -5*v, n*v - 5 = -2*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 16) + 8 + 9 + -1 + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 0.1 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6634363.\nAnswer: 19, 349177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 5, t: 4}. What is prob of picking 2 t and 1 h?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.129699 - 0.191705181.\nAnswer: -0.321404181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -256.986+0.01995417\nAnswer: -256.96604583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + -4 + 1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 38. Suppose 2*n + 20 - 56 = g, -2*n + 5*g + 36 = i. Calculate the remainder when 45 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/2951587 and 91\/6.\nAnswer: 17709522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*f - 1 - 7, f = 2*n. Solve f = 4*p - 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 51 = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 65144*z - 260590. What is m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.66, -3\/5, 7369?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*m + 4, 3*g - 5*m + 3 = 4. Let w(d) = -d. Let p(z) be the third derivative of -z**3\/6 - 4*z**2. Give g*p(v) - w(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 1. Let u be (-2)\/(-6)*(-10 + 10). Let q be v(u). Let i be 2 + (-8)\/5 - 1. Which is the third smallest value? (a) 3\/2 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 44, 142, 290?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99310 (base 11) to base 13.\nAnswer: -507a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g + 11. Let y(p) = 5*p + 11. Let w(f) = 4*l(f) - 5*y(f). Let x be w(-7). Let t(o) = -o**3 - 3*o**2 - 6. Is t(x) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f - 80. Let n be v(12). Let m(u) be the first derivative of 3\/2*u**2 - 1\/4*u**n + 0*u - 1 + 1\/3*u**3. What is m(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + sqrt(112)))**2 + (sqrt(112) - (-4*(-3*sqrt(112) - sqrt(112)) - sqrt(112)))**2 + (sqrt(112)*2*3*-5 + -5)**2.\nAnswer: 800*sqrt(7) + 125677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58304373 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*z = -3*f - 1, 0 = -2*f - 5*z - 3. Calculate the common denominator of (f\/70)\/((-4)\/580) and (6\/5)\/(140\/150).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 0*g**2 - 3*g + 1\/3*g**3 + 0. Let s(h) = -2*h**2. Determine s(y(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(58\/29*3\/(-6)*1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -6. Let q(c) = -c**2 + 4*c + 8. Let o be q(k). Let x be (1 - -9)*((-335)\/25 - -14). What is the biggest value in 3, o, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 28*w**2 + 118*w + 18. Let q be c(-11). What is the greatest common factor of 136 and q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 14 - 8 + 3*t**2)*(2*t**2 - t**2 - 3*t**2).\nAnswer: -4*t**4 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-21) + 1)*3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 118. Is y less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = q - 11, 5*q = 5*n. Let x be 2 - q*(-2)\/(-6). Let l(h) = 19*h + 1. Does 10 divide l(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 7*l + 10*l - 2*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 2\/9 (c) 9\/22 (d) -110\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982369 (base 10) in base 2?\nAnswer: 1011011000000111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2364, 0 in decreasing order.\nAnswer: 0, -5, -2364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**7\/105 + 7*h**5\/60 - 4*h**2. Find the third derivative of b(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p + 177. What is u(46)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 41*k**2 - 19*k - 294. What is r(40)?\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 99992 = -4*g, -3*x = 2*g - 40798 + 100802. What is x rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -5. Let p = 132247\/21740 + -36\/1087. What is the common denominator of p and ((-318)\/t)\/(45\/20)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.1 and -2.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 1449635.\nAnswer: 11597080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3738 and 19572.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -621, -1229, -1833, -2433, -3029, -3621, -4209?\nAnswer: -4793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 62 = 9*q. Suppose 282 = -q*k + 65*k. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25515 - 10036. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {y: 8, q: 2, m: 3, h: 2, f: 4, o: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -506.5 rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 19*h**2 + 27*h + 106. What is l(17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/522910 and 73\/200?\nAnswer: 10458200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - m + 6. Let q be (-51)\/(-12) + m\/(-12). Solve q*n - 5*i = -23, 2*n + 2 = -2*n - 2*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from ffjpllpjfljfllj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530633 is divided by 120.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1330 and 145\/18.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c**3 - 2*c**2 + c + 3. Let i(x) = -6*x**3 + x**2 - 3. Let a(r) = -4*i(r) - 5*p(r). Suppose -5*w - 14 + 39 = 0. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 7 (c) -1 (d) 0.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9496 + -50?\nAnswer: -9506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3377 - -33.1.\nAnswer: 3410.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**3 + 2*d**3 - 5*d**3 + 562*d**3 + 1332*d - 1332*d + (0*d + d - 3*d)*(4*d**2 - 2*d**2 - 3*d**2) - 2*d**3 - 2*d**3 + 5*d**3.\nAnswer: 559*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -17. Let c(t) be the second derivative of -1\/15*t**5 + 0 - 1\/9*t**i + 1\/9*t**3 + t + 1\/45*t**6 + 1\/63*t**7 + 1\/3*t**2. Factor c(w).\nAnswer: 2*(w - 1)**2*(w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465 + 469 + (-3 - (-2 + 1) - 36)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-35) - (-42)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180570 and 179790.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6\/7 (b) -1\/3 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13225748449345 + 0\nAnswer: -13225748449345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978 (base 14) in base 11?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**8\/504 - m**6\/90 + m**4\/36 + 2*m**2 + 4. Let l(w) be the second derivative of c(w). Factor l(p).\nAnswer: 2*p*(p - 1)**2*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -2\/33, 29?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnz when three letters picked without replacement from nnxxaaxzan.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 227.09 - 250.9. What is a rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942 = -161*h + 982 + 330 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11*u - 2\/11*u**2 - 8\/11.\nAnswer: -2*(u - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -8) + (0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(76) + -1))**2 + -2)*-4.\nAnswer: -11080 + 576*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 11. Let k be t(16). Suppose k*h - 227 - 73 = 0. What is the greatest common factor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-26)\/(-6) + 1)*3\/2. Suppose -2*x + z*x = 84. Let d(j) = j**2 - 13*j - 5. Give d(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -3*l**4\/8 + 277*l**3\/6 - 4*l**2 - 1. Let n be r(30). Solve -n = 2*s + 3*s - 4*j, 17 = 2*s + 5*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4924257 is divided by 16578.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/21)\/(-1*2\/98*7)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114729360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(99) + -1 + sqrt(275))*3)**2.\nAnswer: 288*sqrt(11) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 4*g**2 + 2*g - 1. Suppose 1 = -a + 4. Let n be u(a). Let f = 10 + n. Solve -3 = -3*p + f*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2 (c) 20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*z + 4*z + 29 = 0, 0 = -x + 2*z - 17. Let l(v) = v + 12. Let w be l(x). Let o = -3 + 3.2. Which is the smallest value? (a) o (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 20*t**2 + 42*t + 236. Let f be c(-5). Let m be f*(-3)\/(-33) + 12\/66. Let b = -60 + 108. What is the highest common divisor of m and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -7. Solve -5*l + 2*u - 31 = 0, m*l + 6 = -2*u - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2361, -41, 3\/11 in decreasing order.\nAnswer: 3\/11, 0.2361, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 21683311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)\/(h\/(h\/h**1)))\/((h\/(h*h\/(h*h**(-5\/2))*h))\/h**(-1)))\/(h**3\/h*(((h\/(h*(h\/(h*(h*h**7)\/h))\/h))\/h)\/h)\/h*(h**(-1\/4))**14) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/8 and ((-93)\/49)\/(18\/(-63)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7192 is divided by 420.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5488769.\nAnswer: 11, 13, 131, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -371 - -381 - 10396\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 - -2?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (6 + -4) - 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12)*6)\/((-6)\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h = -588 - 75. Solve -x + 18 = h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.838 from -31.\nAnswer: -31.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 65, 817, 2959, 7187, 14197, 24685, 39347, 58879?\n\"Answer: 116*l**3 - l**2 - 57*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 - (111\/(-810) - -6) and 8\/65.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwccwwwwc. Give prob of picking 1 c and 1 w.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:09 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**2 - 15205 + 15204 + 31*x - 7*x to s*x**2 + p*x + f and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g + 7 - 34. Suppose 0 = -3*t - l + 147, 15 = t - g*l - 44. Are 50 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 - 0.25. Let q = u + 0.139996. What is q rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2 + 60550*g - 834610 wrt g.\nAnswer: -4*g + 60550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from zvuuhhcuhhhh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125655318.\nAnswer: 2, 3, 29, 240719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(1 - (-1)\/4). Suppose -8302 = -t - 2*b, 5*b - 17415 = -l*t + 24090. Round t to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67882612 is divided by 870.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6365739.1 days?\nAnswer: 909391.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfwdwajj. What is prob of sequence fwa?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -331 or 8.684?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/286110 and 4\/1363791.\nAnswer: 40913730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 13*o**2 - 2791*o - 41409. Determine v(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -153. Sort -1\/10, v, 4.\nAnswer: -1\/10, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4832 + -116?\nAnswer: 471b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + b + 44 = 0, -818*j + 1636*j - 820*j - 2*b = 24 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*p*q + 1441*j*p - 432*j*q**2 - j - 19*p + 13176*q**2 + 1 wrt q?\nAnswer: j*p - 864*j*q + 26352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -796826689, -1593653378, -2390480067, -3187306756, -3984133445, -4780960134?\n\"Answer: -796826689*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 - 5228*p**2\/9 + 72310*p\/3 - 252056.\nAnswer: 2*(p - 2572)*(p - 21)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6*c + 12 + 12 = 0, 2*c = 4*j + 8. Solve 3*t - 40 = 5*s, j*t - 15 = -4*t - s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*u**2 - 91*u + 5*u**3 + 90*u - 417*u**2 + 820*u**2.\nAnswer: 5*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 4*r**2 - r + 2. Let l be i(-2). Suppose 0 = -f - l*f + 65. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:37 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-390)*-13)\/(14\/(-35))*21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -0.2, 12.1, -1\/9, 23, -0.3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 69*p**4 + 2*p**2 - 7. Let w(f) = 69*f**4 + 3*f**2 - 8. Let i(o) = 3*j(o) - 2*w(o). Differentiate i(r) with respect to r.\nAnswer: 276*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 17 - 71. Suppose -3*k + w - 165 = -8*k, 2*k - y = 2*w. Let a = -23 + k. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -131*t**2. Let q(y) = -6*y. Calculate c(q(a)).\nAnswer: -4716*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 17, 21, 27, 35?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/865 and -48\/7735.\nAnswer: 1338155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 19*t - 236. Calculate m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 261, 403, 561, 741, 949?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 3:45 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, c: 2, i: 6, q: 2}. What is prob of picking 2 z?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21, 27, 45, 81, 141, 231, 357?\n\"Answer: b**3 - b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -3\/2 (b) -0.1 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149860327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 21*q**2 + 1 - q**2 - 1.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 69*h**2 - 2*h + 8. Let z be (-30)\/10 - 4*(-2 + 3). Is s(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Let m = v - -3. Calculate the remainder when 10 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 19*w**2. Let q(t) be the second derivative of -t**4\/3 + 2*t + 9. Give h(q(n)).\nAnswer: 304*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4 + 30 + p - 26. What is f(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18954, 14, -6 in increasing order.\nAnswer: -6, 14, 18954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) -2\/5 (d) 1 (e) -265063 (f) 2 (g) 11\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 37. Suppose q + 2*z = -q + 16, 0 = -5*q - 4*z + 39. Let i be p(q). Solve 0 = c + 2*c - 2*o - i, 1 = -c + o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934.3 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/24 + d**3\/3 - 6*d**2. Let w(z) be the third derivative of 5*z**4\/24 - 3*z**3\/2 - 567*z**2. What is -11*q(b) - 2*w(b)?\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -963, -2647, -5455, -9387?\n\"Answer: -562*f**2 + 2*f - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 5, -1, 22493.4, 2 in decreasing order.\nAnswer: 22493.4, 5, 2, 0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16071\/1268 + 24\/317. Which is bigger: 14 or k?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 854*c = 20262 - 133580 - 1118 for c.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52557050, 52557053, 52557056?\n\"Answer: 3*g + 52557047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61610, 246485, 554624, 986027, 1540694, 2218625, 3019820?\n\"Answer: 61632*b**2 - 21*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065*u - 20 = -1069*u, 3*t - 96 = -3*u for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -12.63035.\nAnswer: -6.315175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, -0.2, -3, 4.61?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 91 = -5*x, 0 = x - j + 3 + 16. Let l be 26\/x + (-6)\/27. Let u = -28343 - -28348. Put -3, l, u, 3 in descending order.\nAnswer: u, 3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/8*(357799\/1105 - 82\/(-10)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((-4)\/(-5)) - -1. Let r(g) = -g - 1. Determine r(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 29 + 4. Suppose 0 = 3*c - h*c + 4. Factor -1\/5*w**c + 1\/5*w + 0.\nAnswer: -w*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 0.3 (b) 4\/5 (c) -14 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2984039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + 3286501?\nAnswer: 3286552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 412 or 268?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.62 and 234.\nAnswer: 145.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*l - 5*x, 0 = 5*l + x + 2*x - 29. Let m = l + 5. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-11))*x*x*x**(-17) assuming x is positive.\nAnswer: x**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 2*h - 107. Let q be f(-9). Let p be 4\/(48\/q)*-2700. Round p to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 10*w**2 + 10*w - 4. Let g be s(-11). Let t = g + -5. Suppose 4*n = 20 - 120. Put 0, n, t in descending order.\nAnswer: t, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - h**2)*(1 + 10*h - 2 + 4*h).\nAnswer: -14*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 2*w - 1, -2*w + 5*w + 30 = -5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 50847531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2*sqrt(684) + sqrt(684) - sqrt(684)) + (sqrt(684) - ((0 + sqrt(684))*2 - sqrt(684))))**2.\nAnswer: -24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 - -2. Let w = b + 1. Let h = -387779\/8 - -48472. Sort 2\/17, h, 2, w in decreasing order.\nAnswer: 2, w, 2\/17, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -3, -46, 2 in decreasing order.\nAnswer: 5, 2, -2, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/4 + 7*w**3\/3 - w**2\/2 - 25*w + 4168. Give z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 16 + 1 + -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(3\/4)*(l**(-2\/9)\/l)\/(l**(-3\/8)\/l) assuming l is positive.\nAnswer: l**(-5\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18768600.\nAnswer: 2, 3, 5, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and (-1)\/3*1350\/(-25).\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2997, -5956, -8929, -11922, -14941, -17992?\n\"Answer: -p**3 - p**2 - 2949*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11 - (-19 + 25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6746445 divided by -5?\nAnswer: 1349289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.07838038 rounded to three dps?\nAnswer: 3.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -27*b**7\/70 - 245*b**3\/3 - 2*b**2 - 24. What is the derivative of j(g) wrt g?\nAnswer: -324*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l. Let s = 38 + -40. Let q(w) = -w**2 + w + 1. What is s*i(n) - 2*q(n)?\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 a factor of 646172172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 11*x**2 - 6*x - 18. Let w be m(7). Let k = 272 - w. Which is smaller: k or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-370)\/(-111)*36\/(-5). Let a be t\/(-60) + 1568\/(-20). Which is greater: a or -236\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p + 0*p - 3*p - 7*p. Suppose 2*v - v = -3, -3*x - 4*v - 6 = 0. Let h(m) = 2*m + 2*m - x*m + 0*m. What is j(h(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0415, 1170\/11, 5 in ascending order.\nAnswer: 0.0415, 5, 1170\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let g(m) = -9*m - 44. Let r(s) = -g(s) - 6*o(s). Let d be r(-9). Let h be 4\/16 + 1\/(-4). Solve h = -3*p - d + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 4, 5, 28 in descending order.\nAnswer: 28, 19, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0130613704 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 7*b**2 + b + 7. Let s(o) = -o**3 - 6*o**2 + o + 6. Let t(x) = -6*q(x) + 7*s(x). What is t(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57585211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 162 and -221 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + f + 4*f + 10 = 0, -3*f - 20 = -4*m. What is the remainder when 18 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4794 is divided by 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*i = -i - 111, -3*q + 3*i + 81 = 0. Calculate the greatest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/241 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/2, 0, 3, -36\/11, 0.3, -4, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 17*b**2 - 15*b - 14. Let x be y(16). Suppose 5*i = -3*k + 150, i - x*k = 25 + 5. Is i a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68268 and 20088?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 8. Let q be c(13). Let n = 375 - 5627\/15. Let u = -1\/5 + n. What is the nearest to u in q, -4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81403?\nAnswer: 7, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 2804*l - 2849*l. Solve 4*o - 36 = -7*v + 3*v, 4*v = 3*o + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - j + j + (-1 + 0 + 5)*(2*j - 3*j - 2*j))*(4 - 3 + 1).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 11.18, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*a + 6*a - 26, -k - 3*a = -17. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 4\/3*w**3 + 18 + 12*w - 8*w**2. Factor t(l).\nAnswer: 4*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*694915.\nAnswer: 208474.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 59*h**6\/20 - h**5\/60 - 185*h**4\/24 - h**3\/2 + 3*h**2 - 8*h. What is the second derivative of d(i) wrt i?\nAnswer: 2124*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -452 - -457. Let u = 7 + -7.6. Let m = -155.8 + 156. What is the closest to m in 2, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 35*c + 20. Let u be 4 + (3 - (0 - 10)). Let t be h(u). Sort t, 0, -4 in increasing order.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20740 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 9 - 4 + 2. Suppose 9*t + 8 + 19 = 0. Let j be v(t). Solve 3*r - g = 10, -2*r + g + j = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 25*w**3\/3 + 101. Let s(o) = -o. Calculate n(s(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15749.\nAnswer: 15749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 159046\/9*y + 160178\/9 - 1130\/9*y**2 + 2\/9*y**3 = 0.\nAnswer: -1, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 4. Let z be x(-2). Suppose -360652 = z*y + 5819348. What is y rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 3248?\nAnswer: 25984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 282173, 564388, 846603, 1128818, 1411033?\nAnswer: 1693248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48977676 by 2.\nAnswer: 24488838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/190 and -31\/28.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 + 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.3. Let w = -11.8 + 4.2. Let z = w + d. What is the second smallest value in z, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4551)\/(-370))\/41)\/(18\/(-10)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/497, 0.1, 1\/2.\nAnswer: 4\/497, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 5*b**2 - 13*b - 3. Let w = -88 - -81. Let m be f(w). Is (-1)\/2 + 45\/m*-523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 199*p + 384. Give r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 52555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3377 (b) -0.1 (c) 1\/2 (d) -7.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 77. Let r = -42 + v. Suppose d + 3*q = 2, -q - 2*q = 3*d - 18. What is the highest common factor of r and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -8*o - 8. Suppose r + 0*r + 1 = 0, -3*r + 147 = 3*s. Suppose -3*m + 30 = -3*l, 12 - s = 5*l - m. Let u(b) = -7*b - 7. What is l*u(c) + 6*y(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*2*sqrt(171)*1)\/(sqrt(72)\/(sqrt(8)*3) + sqrt(9) + (sqrt(1296) - sqrt(1296)*2 - sqrt(1296))).\nAnswer: 6*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 86820078\nAnswer: -260460234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1279.189 - -1280. What is v rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14777758 is divided by 3622.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f**3 + 124996*f**2 - 105584457*f + 28527210 = 0. Calculate f.\nAnswer: 10\/37, 1689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37\/52 - -61\/65. Find the common denominator of g and -93\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (6\/(-7))\/(7\/(-49)) and 38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 1475?\nAnswer: -1466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -91180 divided by -9118?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(15)\/sqrt(5))**2 - (4*sqrt(75) + sqrt(75)).\nAnswer: -25*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4 = -4*g + 2, -b = 3*g + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b - 2)*(-1 + b**2 + 1) - 5*b**3 + 0*b**3 + 3*b**3 + (b**2 - 4*b**2 + 2*b**2)*(2*b - 4 + 4) + 0*b**3 + 7*b**3 - 2*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 220 = 4*q, -54 = 2*b - 2*q + 160. Let u = -413\/4 - b. Suppose -5 = 3*f - 4*f. Sort f, 1\/3, u in descending order.\nAnswer: f, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -435331.2 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3, -4, 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y. Let m(h) = 12 - 12*h - 9 + 2. What is r(m(n))?\nAnswer: -24*n + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*a**2 + 29*a**2 + 60*a**2)*(0*a**2 - 2*a**2 + 4*a**2) + (8 - 19 - 4)*(-2*a**3 + a**4 + 2*a**3) to r*a**3 + v*a**4 + x + z*a + q*a**2 and give v.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*l + 9*l + 13*l)*(-295 - 343 + l - 2*l) in the form i + m*l**2 + d*l and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 1628.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21475, 5, 2, -3 in descending order.\nAnswer: 21475, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588159721.\nAnswer: 727, 809023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*j**3 - 23*j + 23*j + (j**2 + 1 - 1)*(0 + j + 0) - 5*j**3 + 6*j**3 + j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18393732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 14) to base 12\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*5 + 49 + -14. Let i = -28 + r. Does 34 divide (2\/(-6 + i))\/((-3)\/1158)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3595, 3, 9, -1.8?\nAnswer: 3595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329311, 658719, 988217, 1317805, 1647483?\nAnswer: 1977251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-2*-2)\/(sqrt(847)*-3) + (5*(sqrt(468) + -1)*5)**2 + -2.\nAnswer: -247504*sqrt(13)\/33 + 293123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h + 27 + 1061 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 4, d: 4, q: 4, c: 1}. What is prob of picking 3 u and 1 b?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 56 + 36. Does 23 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.79999935 - -2.8. What is q rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**3 + 14*u**2 + 7*u + 11. Let s(a) = -3*a**3 - 7*a**2 - 4*a - 5. Let c(o) = 9*s(o) + 4*v(o). What is c(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/9 smaller than -3069844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -384.14 + -59.16. Let b = s - -443. What is the biggest value in 6\/11, b, 1\/2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3120 and 979140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90.2 - 91. Let t = g + 0.835. Let k = 0.0286 - t. Round k to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 765073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 + -77. Suppose -2*a - 21 = 5*n, i*n = 3*a + 10*n - 26. Solve 7 + 1 = a*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 12)*(0*h - h + 3*h) - 2*h + 0*h - h + (1 - 1 + h)*(-2 + 1 - 1) + 6*h - 3*h - 2*h - 4*h + 3*h - h + 5*h - 4*h - 2*h + (3 + 2 - 4)*(3*h + h + h).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101101 - 22111?\nAnswer: -10200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + c + 92 = 0, -3*d - c = -6*c + 72. Let g(v) = v**3 + 19*v**2 + 6. What is g(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkzx when four letters picked without replacement from {x: 2, k: 2, p: 1, z: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10\/143 - 183\/572. Which is greater: x or 27.62?\nAnswer: 27.62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 254\/(-14) + (-614)\/(-4298).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/1 + 5 - 0. Let q(c) = c**2 - 6*c + 3. Is 5 a factor of q(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 427 - 424. Suppose f*q + 28 = -q - 4*r, 2*r - 2 = 2*q. Which is smaller: q or 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -124, -187, -250, -313, -376?\n\"Answer: -63*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 51, 112, 197, 306, 439?\n\"Answer: 12*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 + 2*i + 7. Let a be q(-5). Let c be (-2)\/(-1)*a\/(-2). What is c rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-311)\/6842)\/(14\/(-55)).\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {y: 3, w: 1, s: 3, l: 2, a: 9}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3714545 and 23.72?\nAnswer: 3714521.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1424*d**5 - 83*d**2*i + 6*d*i + 13*d - i + 74 wrt d?\nAnswer: 28480*d**3 - 166*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -3\/17, 2\/23?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 3*l**2 - l - 3. Let n = 27 - 22. What is the lowest common multiple of a(4) and n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13470942 and 20206413.\nAnswer: 40412826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51771250 to the power of 1\/2, to the nearest integer?\nAnswer: 7195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7880617*h*l**3 - h*l*x - l**3*x - 39*l**3 + 118*l**2*x - 193*l wrt h.\nAnswer: -7880617*l**3 - l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3056137, -3056140, -3056143?\n\"Answer: -3*a - 3056134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800544795?\nAnswer: 3, 5, 53369653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94190 divided by 20.\nAnswer: 9419\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23419537?\nAnswer: 23419537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 45 - 55 = 0, -b = -3*o + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506 and 6721594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -5 + -5 - (-1 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41053452 (base 6) to base 12\nAnswer: 487288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16957179*k**4 + 20801739*k.\nAnswer: 203486148*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9545627 is divided by 25455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, -12, -44, -90, -150?\n\"Answer: -7*q**2 + 3*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -0.7728.\nAnswer: 20.8656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b - 2. Let w be (-2 - 2\/(-4))*72\/54. Let l(t) = -7*t + 2. What is w*l(p) - 3*z(p)?\nAnswer: -7*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -16*l + 1\/2*l**2 - 2. What is u(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20331200 + 30?\nAnswer: -20331110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 4 + (3 - 1 - 4)*(0 + 3 - 1))*(0*c + c - 2*c)*(0*c - c - c) to o*c**2 + m + h*c and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*b*j**2*o - 375*b*j*o + 14124*j**2*o + j*o wrt b?\nAnswer: 23*j**2*o - 375*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z, 0 = 2*q + 2*z + 23 + 9 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 683, 688, 695, 704, 715?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, 58, 195, 472, 937?\n\"Answer: 8*d**3 - 2*d**2 - 5*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 11, 1, 9 in descending order.\nAnswer: 11, 9, 1, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 2304.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7\/((c**8\/c)\/c)*((c*c*c**(-9)*c)\/c)\/(c*c\/(c*c*c\/(c*c**13)*c)))**(-16) assuming c is positive.\nAnswer: c**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 9?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -1) + (2 - 1). Let p(u) = 2*u**2 - 5*u + 2. Let y(r) = 184*r - 186*r + 96*r**2 + 1 - 95*r**2. Determine i*p(t) + 7*y(t).\nAnswer: t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((38 - 8) + -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -1 + 2 + (35 - -37 - 39).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + (-16 - -16) + 1*-1. Solve -3*i + 9 = 0, -z*t + 5*i = -16 + 51 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 5*a**4\/3 - 25*a**3\/6 - 782*a**2. Suppose 14 = 2*c - 0. What is the tens digit of j(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 3:06 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 4*z - 1821 = 0, 5*z = -15. Let r = 148341\/82 - w. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3256373495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**2 + 4*x + 6. Let z(a) = a + 1. Let n(w) = -v(w) + 5*z(w). Let o = 113 - 114. What are the prime factors of n(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**2 - 56*b - 10. Let w be p(-6). Let l be (-14)\/((-28)\/18) + -2. Solve 5*z - 1 = w*h, l - 2 = 2*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvhvhvh. Give prob of sequence vvhv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 327 + -147. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 9:39 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1082775, -1082767, -1082761, -1082757, -1082755, -1082755?\nAnswer: -1082757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*d = -d - 18153, -32*d = 224. What are the prime factors of a?\nAnswer: 18181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1302427, 1302429, 1302431, 1302433, 1302435?\n\"Answer: 2*x + 1302425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 (base 11) in base 6?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4 - 2990*i**3 - 1027188*i**2 + 69014336*i + 142113536 = 0.\nAnswer: -776, -2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q + 35. Let n(j) = j - 1. Give 3*b(s) + 105*n(s).\nAnswer: 75*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c - 17. Let y(f) = 13*f - 35. Let n(m) = -7*p(m) + 4*y(m). Let i be 495\/(-30)*4\/(-6). What is the tens digit of n(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 350*d + 21. Let r(g) = -175*g - 10. Let k(o) = -7*r(o) - 3*x(o). Let q be 4\/14 - (-26)\/7. Is k(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2740?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -0*t - 3*t + 12, -4*t + 16 = 3*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -16 + 4. Suppose 0 = -0*n + 3*n - 9. Suppose -z - 1 = n. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702260 is divided by 351082.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 872 + 10. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence en when two letters picked without replacement from yeypen.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2625, -5237, -7847, -10455, -13061, -15665, -18267?\n\"Answer: u**2 - 2615*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9484571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113 and 978919?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*o = 3915 + 8020 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/2 - -2)*(-2052)\/81 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 25. Are 0.1 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**2 + 0*u + 10*u + u**3 - 5*u + 7 - 3. Let y(m) = 26*m + 1 + 16 + 2 + 30*m**2 + 5*m**3. Let b(j) = -11*l(j) + 2*y(j). Give b(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 36?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(12\/11)\/((w*w\/(w*w**(5\/4))*w)\/w) assuming w is positive.\nAnswer: w**(59\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3400.137 + 3402. Let k = q - 1.9. Let x = 0.04 + k. What is x rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 636\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s + 1. Let p(z) = 2390*z**2 + 3824*z - 1912. Give -1912*l(v) - p(v).\nAnswer: -2390*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1187\/5 - 226. Calculate the common denominator of m and (-8)\/(-14)*750\/(-200).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21422811 a multiple of 2446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 7*a + 21 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30120204 - -110?\nAnswer: 30120314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) 4 (c) 0.2 (d) -24.94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*y - 8. Let g(m) = -10*m + 43. Let a(r) = 3*r - 14. Let x(t) = 8*a(t) + 3*g(t). Let f(v) = 2*v - 6. Determine y*x(n) - 11*f(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1430959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1033770 divided by 2027.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/8 - (-2)\/8. Let b(g) = -6*g - 5. Let y(x) = x + 1. Let k(r) = a*b(r) + 10*y(r). Let m(z) = -12*z**2. What is k(m(t))?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*r - 543, -59 = -g - r + 48. Calculate the smallest common multiple of 40 and g.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -21, -95, -201, -339?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/(-2 - (-3)\/2))\/2. Suppose -5*f + 3*p - 2*p - s = 0, 5*f + 35 = -5*p. What is the closest to 2 in 3, f, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4756 or -4755?\nAnswer: -4756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 - 637576*k + 19125480 = 0. What is k?\nAnswer: 30, 318758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/6 - 19*z**3\/6 - 17*z**2\/2 - z + 10. Let o be j(12). What is the greatest common divisor of o and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -u - 8, 2*z - 4*z + 3*u = -13. Let g(t) = -t - 1. Let n(d) = 5 - 4 - 4. Determine z*n(k) + 2*g(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 5. Let p be t(0). Suppose -1 = -p*k + 24. Calculate the remainder when 19 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-547 - 807 + 354)*(-h + 3*h - h) + h - 5*h + 5*h.\nAnswer: -999*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 496 - 398. Let g = 4 + -2. Put w, g, 4 in increasing order.\nAnswer: w, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1230)\/(-252) + -5 + 4\/14.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*6*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2999, -5969, -8933, -11891, -14843?\nAnswer: -17789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 260*l**2 + 15*l + 176. Let f(w) = -390*w**2 - 21*w - 264. Let i(y) = -5*f(y) - 7*p(y). Differentiate i(b) wrt b.\nAnswer: 260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7657 and 245986.\nAnswer: 144885754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24000)\/30000*((-3)\/(-6))\/1)\/(1\/70)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*b + 10, -2*d = -2*b - 3*b - 10. Suppose w + b*w - 38 = 0. Calculate the remainder when w is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (4 + -38)) + -2 + 29 + -28.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 24775992\nAnswer: 1\/24775992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3c (base 15) to base 10.\nAnswer: -2307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2466 a factor of 212026680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 15*k**2 - 230*k - 160 = 0?\nAnswer: -2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -12*757\/(-348)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 = 5*z, -z + 2*c - 13 + 7 = 0. Sort z, -5, -20.\nAnswer: -20, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42b696 (base 15) in base 2?\nAnswer: -1100000111101110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 19, 45, 81, 127?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.09992773\nAnswer: 0.029978319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 379, 787, 1209, 1639, 2071?\n\"Answer: -t**3 + 13*t**2 + 376*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -2*k - 103 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + f. Let w(x) = x**3 + 11*x**2 - 5*x + 10. Let h(c) = 2*j(c) + w(c). Calculate the remainder when h(-8) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0.12, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 3 - 3 + (-1 - 3 + 2)*(-1 + 1 + 2*t))*((2 - 2 - 1)*(3 - 4 + 2) - 5 - 1 + 3).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1165 - 822. Let v = w + -341.4. Which is the closest to v? (a) -3 (b) 0.2 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*o - 3495, 3*c = -0*c. Let m = o + 1350. What are the prime factors of m?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1765, -1747, -1719, -1681, -1633?\n\"Answer: 5*k**2 + 3*k - 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.8, 2\/9, -4, -8\/393?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 15117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 29*p + 129. Determine a(24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**3\/3 + 9. Let m(j) = 5*j + 5. Let v(z) = 3*z + 2. Let b(s) = 2*m(s) - 5*v(s). What is b(r(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 570 - -116?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -43*w - 81. Let o be v(-2). What is the fourth biggest value in -3, -3\/13, -0.2, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -97720 divided by 23\nAnswer: -97720\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 + 106 = -13*d + 4*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3225 + 3222. Which is the second smallest value? (a) k (b) 91 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2000*b**5 - b**4 + 2*b**3 + 50*b**2 + 211 wrt b.\nAnswer: -120000*b**2 - 24*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:46 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 584*f**3 - 3*f**2 + 136*f - 401. Let n be b(3). Calculate the greatest common divisor of n and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -9, -4, 3, 12, 23, 36?\n\"Answer: x**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 3. Let r(o) = -o + 1. Give 2*n(z) + 7*r(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175713.381 + -175697.6307002. Let j = k + -15.7703. Let s = -0.02 - j. What is s rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 1. Let s(l) = -l**2 - 7*l + 5. Calculate -3*b(v) - s(v).\nAnswer: v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 470*b**2 - 8*b + 8. Let m(z) = -156*z**2 + 3*z - 3. What is 8*m(h) + 3*s(h)?\nAnswer: 162*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 106*o - 36. Let z(t) = t**2 - 2*t - 6. Let h(g) = d(g) - 6*z(g). Factor h(u).\nAnswer: u*(u - 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5297*i**2. Let h(a) be the first derivative of 3*a**2\/2 + 5404. Give h(n(j)).\nAnswer: 15891*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of q**5\/10 - q**3\/2 + 7*q**2 - 19*q + 2. Let l(w) be the first derivative of r(w). What is the first derivative of l(t) wrt t?\nAnswer: 6*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 4:33 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 2. Let h be w(-5). Find the third derivative of -7*y**3 + h*y**3 - y**3 + y**3 + 4*y**2 wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235 times -0.3\nAnswer: -70.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 11. What is t(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -c68 (base 16) to base 4\nAnswer: -301220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1785\/39 + (-1 - 2). Let i = u + -52209\/1235. Find the common denominator of 4\/5 and i.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 712 and 192240.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476 by 5.\nAnswer: -476\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13 + (-5)\/((-25)\/(-15)). What is the remainder when 44 is divided by 4\/f - 365\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*c + 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 2*t - 12*t. Is t smaller than -4\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 10:17 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5\/3 - 677*r**4\/3 + 26021*r**3\/3 + 47285*r**2\/3 + 4593*r - 2268 = 0.\nAnswer: -1, 1\/4, 63, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or -470?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.469 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 2*i**4 + 1 + 0*i**2 + 4*i**2 + 3*i**3 to the form g*i**3 + c + z*i**4 + p*i**2 + n*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-176)\/16)\/(-33))\/((292\/(-730))\/(33\/25)).\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6. Let w = x + -1.00013. Round w to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**3 - 25*s**2 + 144*s + 15. Let a be f(13). What is the highest common divisor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:06 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and (6\/9 + -2)*(-6)\/4?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2882*r - 2248 = 2601*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 6. Let l(i) = i - 3. Let h(q) = -5*l(q) - 2*s(q). Let o be h(-3). Suppose -r + o*r = 6300. Round r to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17\/3 + -16\/3. Suppose j + 3*t + 13 = -0*t, 0 = 4*j - 3*t + 7. Which is the biggest value? (a) j (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 4066, -139, 5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 23 in ascending order.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/620 or -1?\nAnswer: 1\/620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 u when three letters picked without replacement from ooqbibsbbsibu?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -145, 1\/973, 5 in descending order.\nAnswer: 5, 1, 1\/973, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/6)\/1*1008\/(-1176).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189401 - 189298 - 496650 = 674*f - 16031*f for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 8*l**2 - 18*l - 50. Calculate o(-5).\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let m = 2 - 0. Let i be (-4)\/(4*(-9)\/36). Let f(h) = -26*h**m + 8*h**2 - i*h**2. Determine b(f(j)).\nAnswer: -484*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00781856 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-5) - 1*-1. Let s(t) = 14*t**2 + t + 1. Let l be s(-2). What is the greatest common factor of l and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72921174, -72921159, -72921128, -72921075, -72920994, -72920879?\nAnswer: -72920724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2) - (sqrt(2) - -1*sqrt(200)) - (sqrt(4)\/sqrt(2) + sqrt(2))*-5)**2 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 7*j - 159 = 0, 13*j - 16*j + 8*j - 115 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33 (b) 2117 (c) -3247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Let l be 3 - (2 + (-86)\/(-90)). Is l < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - d - 73371, -4*b - 664*d + 663*d = -146721. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -203*q**3 - 10760*q**2 - 50*q + 83. Calculate d(-53).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3373\/690 - -131\/30. Calculate the common denominator of s and -71\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*o - 35, -12*o + 9*o + 29 = 2*i. Let d be (400\/(-30))\/i + 4\/3. Let d + 1\/2*j**2 + 5\/2*j = 0. Calculate j.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 51033 = 113373. Let c = q - -77049. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9016, -18014, -27004, -35980, -44936, -53866, -62764, -71624?\n\"Answer: k**3 - 2*k**2 - 8999*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639122 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**7\/210 - 7*o**4\/8 + 115*o**3\/6 - 2*o**2 - 27*o. Differentiate w(i) with respect to i.\nAnswer: 4*i**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866 a factor of 6404112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 273, 328, 383, 438, 493?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.4 times -5?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9282616.7899574 + -9?\nAnswer: 9282607.7899574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/60 - 521*f**3\/6 + 3728*f**2 - f - 2. Let x(v) = -13*v. Give x(w(g)).\nAnswer: 13*g**2 + 6773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 + 7281*x\/5 - 2859672\/5.\nAnswer: 3*(x - 344)*(x + 2771)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Which is the nearest to u? (a) -1\/4 (b) 3\/4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 + 2*c - 4. Let t be 28\/(-4) + 4 + 5. Suppose 4 + 8 = t*l. Does 4 divide f(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/105 and 71\/265725.\nAnswer: 1860075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2636*q**6 + 2*q**2 - 984*q wrt q?\nAnswer: 316320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36974853 divided by 423?\nAnswer: -87411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -765835\nAnswer: -1\/153167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.996 + -4.7127. Let s = h - 0.28331189. What is s rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/297243 and 31\/33?\nAnswer: 3269673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 4. What is the units digit of b(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1166*h + 334605. Determine d(287).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3\/9 - 834*i**2 - 3770980*i\/9 + 2524000\/3 = 0.\nAnswer: -3155, -600, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1)**(7\/4)*i\/(i*(i*i**(-7))\/i)*i**1)**(-25) assuming i is positive.\nAnswer: i**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 914721, 1829448, 2744175, 3658902, 4573629?\nAnswer: 5488356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*l + 139, -337 = -5*l - 24*z + 23*z. Calculate the greatest common factor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7284, 14402, 21520, 28638, 35756?\nAnswer: 42874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/780*5\/2*32?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f9649 - d?\nAnswer: 8f963c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 minus -979?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31100 - 22747?\nAnswer: -54047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3423 - 5562?\nAnswer: -2137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170)*1 - sqrt(170) - sqrt(170))*-3)\/(sqrt(250) - sqrt(250)*-2))**2 + (sqrt(612)*-2 - (sqrt(17) + (-4*(2 + sqrt(17)))**2)).\nAnswer: -8383\/25 - 77*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 117 = 3*z, -2*z = -a + 42 - 10. What is the least common multiple of 3 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 35477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43621381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -13*p**6\/10 + p**3\/3 - 69*p**2 - 52*p. Find the first derivative of x(n) wrt n.\nAnswer: -156*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyuyurrruu. Give prob of sequence rr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077.12 rounded to the nearest integer?\nAnswer: -1077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x = 3. Let q = 4 - x. Suppose f = q + 8. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 574575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wywyww.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 900881957 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*b + 295, -11*r + 869 = -8*r - 2*b. Is r a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**3 - 9*o**3 + 19*o**3 - 8 + 16*o + 2*o**2 - 6*o**3. Suppose 27 = 5*l - 23. What is the least common multiple of a(4) and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -27 + 14 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 0.2, -1215, 12\/5, 4 in ascending order.\nAnswer: -1215, -0.07, 0.2, 12\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2464126, -4928260, -7392394, -9856528, -12320662?\nAnswer: -14784796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**5 - 2810*f**4 + 399475*f**3 - 1173020*f**2 - 11300*f + 1564000 = 0. Calculate f.\nAnswer: -680, -1, 2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*z + 1. Suppose 3*s = 2*s + 4. Suppose 3*y - 36 = -2*y + s*r, 5*y - 2*r - 28 = 0. Solve z*t - y = 3*i, 3*t - 3*i - 5 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omoosossososmssmos. Give prob of sequence so.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 43, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 578 + -563. Suppose 417 = x*s + 87. What is the least common multiple of 82 and s?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-4) - (-1)\/4. Let j = p + -1. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 102 = 6*a. Let m = 339 + a. What is the third derivative of -315*r + r**2 - 17*r**4 + m*r + 2*r**3 - 2*r**3 wrt r?\nAnswer: -408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/11 + 6*f**3 + 22*f**2 + 294*f\/11 + 116\/11 = 0.\nAnswer: -29, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s*s*s*(s**5*s)\/s)\/(s**(-2\/15)*s*s**3) assuming s is positive.\nAnswer: s**(17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-1 + 3 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 66.61595 nanometers?\nAnswer: 0.06661595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/13 + 12\/13*s - 2\/13*s**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1112 and 4608.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = 4821 - 5133 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 - 2*c**3 + 0*c**3)*(-3*c + 2*c - 2*c) + 2*c**4 - 2*c**4 + 2*c**4 as i*c**4 + n + h*c**3 + w*c**2 + y*c and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26.88 * -6.8\nAnswer: -182.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - b**3 + 0*b**3 + 0 + 3 + 8*b**2. Suppose 358*x - 356*x - 2*k = -4, 9 = 3*k - 21. Calculate u(x).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 3. Let n = -167 - -166.747. Let w = n - -0.053. Which is the biggest value? (a) w (b) v (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -1\/2 (b) 3 (c) 4\/7 (d) -3\/4 (e) 53021\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.6 - -2.6. Let a = 43.7 - 43.63. What is the fourth smallest value in 0.1, a, z, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-81))\/(16\/9).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away -788?\nAnswer: 787.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1*(-6)\/378*9.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503 is divided by 136.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - y**2 - 4*y + 3. Let d be f(2). Let n = 14 - d. Let i = 7 + -10. Sort 4, i, n in ascending order.\nAnswer: i, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69200 divided by 6920.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/6 + 23*l**5\/12 + 65*l**4\/12 - 20*l**3\/3 - 3*l**2 - l. Solve w(g) = 0.\nAnswer: -4, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n - 3. Let p(a) = 628*a. Determine b(p(z)).\nAnswer: -2512*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1074 - 1016. Sort 0, a, -3, -1, 3 in ascending order.\nAnswer: -3, -1, 0, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/22)\/(2\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59301058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -16. Let z = 43 - 43.07. Let y = z + 6.07. Which is the smallest value? (a) p (b) -4\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - 11 - -8) + 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 0. Let h be (45 - 73) + (-116)\/(-4). Put 4, g, h, -4 in decreasing order.\nAnswer: g, 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + 1))*-1 - (sqrt(60)\/sqrt(3))\/sqrt(4).\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v. Let q(g) = 4*g. Suppose 3*u + 89 = c, -4*c - 15*u + 10*u = -373. Suppose 81*d = c*d - 55. Give d*m(l) - 6*q(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(153) + sqrt(153) + sqrt(153)*-2 + sqrt(153) + sqrt(153))*3 - sqrt(153) - sqrt(153))\/sqrt(9)*5.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -871, -1232, -1835, -2680, -3767, -5096?\n\"Answer: -121*o**2 + 2*o - 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11607 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 - -125. What is the smallest common multiple of t and 527?\nAnswer: 5797","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhhheehehhee. What is prob of picking 1 e and 1 h?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**4\/4 + 3043*q + 3. Let v(i) = -6857*i**2. Determine p(v(n)).\nAnswer: 141055347*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19 - -5) + (-18)\/(-3). Is (44\/(-6))\/(h\/(-7065)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 + o - 5. Let d be p(8). Let n = d + 3. Solve n = -2*i - i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**6 - 6*v**2 + 6*v**6 - v**6 wrt v?\nAnswer: 1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10202020101 (base 3) in base 5?\nAnswer: -4330201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3011*f**2 + 1. Let w(r) = r**2. Give y(w(o)).\nAnswer: 3011*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s*y**4 + 5*s*y**3 - 4*s*y**2 - 42*s*y - 5*y**4 wrt y?\nAnswer: 48*s*y + 30*s - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568886 is divided by 57?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 1. Let o be q(1). What is the second derivative of -9*b + 16*b - 6*b - 2*b**o wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69017 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (1 + 5 + -13) - (9 + -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 190 = -7*f + 4*t, -5*f = 3*t + 225. Let h be 2\/(-7)*f\/6. Suppose -i = -k - 3*k + 1, -h*k - 2*i + 8 = 0. Solve -p - 3 = k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*n + 35 = 0, -4*n - 2 = 2*a - 0. Let u(d) = d + 12. Let l be u(a). Is 236\/l - (-20 - -25) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 33*w - 968. Determine f(29).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478 is divided by 79?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -17. Suppose -4*a - 3 = -l. Let p(g) = 2*g - 1. Let j be p(2). Solve -j*s + a = -3*n, 4*s = -n - 4*n - 41 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96327.15l in millilitres?\nAnswer: 96327150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + 115. Let h be (-18)\/(1 - (2 + -2 + s)). Calculate the greatest common factor of 18 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 180a + -721?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 774992 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3 - 4 + 3 + 2 + (-3 + 4 + 0)*(-3 + 3 + 2))*(-66 - 67 - 56*s + 136).\nAnswer: -56*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(5 + -2*sqrt(252) - (sqrt(252) + (0 + sqrt(252))*-4 + sqrt(252))) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-573)\/(-191)*(-2)\/(-6)*-39.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119882 + 158673.3. Let g = f - 38862.2938. Let t = 71 + g. What is t rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 4. Let c be s(3). Suppose -2*g + 224 = c*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 19*s - 17 + 20)*(1 - 3 + 4).\nAnswer: -38*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89912, 173865, 257830, 341813, 425820, 509857, 593930?\nAnswer: 678045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14502945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8539392 and 34.\nAnswer: 145169664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 o when three letters picked without replacement from foofazoololpoppol.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from off?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 42*v - 3651. Let l be q(87). Solve -281 + 309 = 3*y - 5*k, 2*y + l*k = -13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r**2 + 195*r - 14. Let c be b(14). Let l(v) = -v**3 - 29*v**2 - 31*v - 42. Let d be l(c). Calculate the highest common divisor of d and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c**2 + c)*((0 + 0 + c)*(0 + 4 - 2) - 5*c + 4*c - 3*c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 27 = -3*w, 19 + 42 = 4*v - w. Suppose 3*a - 119 = -v. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**4\/6 - 2*k**2. Let i(l) be the first derivative of -1116*l - 26 + 2*l**2 + 2230*l - 1114*l. Determine g(i(w)).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6179804 times 4\nAnswer: -24719216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 307 + -200112?\nAnswer: -177603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 638, 0.52.\nAnswer: -11, 0.52, 638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*m - 136 = 196*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -152, -343, -610, -953?\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z**3 + 0 + 1\/12*z**5 + 0*z + 0*z**6 + 0*z**4 - 1\/70*z**7 - 2*z**2. What is the third derivative of s(j) wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 + 54. Is 24*(3 + 28\/c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-19 - -3) + (-134 - -9 - -257)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 648201 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.9 minus 0.368?\nAnswer: -53.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -939491, -1878836, -2818165, -3757472, -4696751, -5635996, -6575201, -7514360?\nAnswer: -8453467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -26, -2\/5, -9, -3, 0.5 in ascending order.\nAnswer: -26, -9, -3, -2\/5, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036339737 - 55075.\nAnswer: -55075.036339737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -875*j. Let b(z) = 4*z + 3*z - 5*z - 14*z + 10*z. What is a(b(s))?\nAnswer: 1750*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 320 + -337 + (13 - (3 - 5 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5456380, -10912760, -16369142, -21825526, -27281912, -32738300?\n\"Answer: -v**2 - 5456377*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-9)\/(90\/55).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*6.14\nAnswer: 30.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2\/2 - 41. Let j(x) = 27*x**2. Give d(j(m)).\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1039*p - 1044*p + 146 = 4*c, 0 = -2*p + c + 48. What is the remainder when 439 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -654723, -1309345, -1963965, -2618583, -3273199?\nAnswer: -3927813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*-9437\nAnswer: 47185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**4 + 12*l**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**2 + 4*q - 1096. Let n(w) = 8*w**2 + 5*w - 1461. Give -7*n(r) + 9*t(r).\nAnswer: -2*r**2 + r + 363","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 41 = 152. Let a = 70 - n. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 471*x**4 + 36*x**3 + 69924*x**2 - 398352*x + 524160 = 0 for x.\nAnswer: -14, 2, 5, 8, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 14*g**2 - 13*g - 7. Let i(l) = -5*l - 1. Let h be i(-1). Suppose 96 = h*u - 268. Calculate the remainder when u is divided by a(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68776, -137058, -205340, -273622, -341904?\n\"Answer: -68282*l - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9871*f**2 + 2344*f**2 + 276*f**2 in the form x + p*f**2 + t*f and give p.\nAnswer: 12491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 + 18500.\nAnswer: 18341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**3 + 145*g**2\/2 - 10*g - 105\/2.\nAnswer: -5*(g - 7)*(g - 1)*(4*g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:30 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4164248 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.024 - 0. Let n = 0.234 - s. Let j = -0.197 + n. Round j to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2163169\/144 + 15022. Sort 0.2, -0.1, x in descending order.\nAnswer: 0.2, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27297 is divided by 2247?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 261*g + 261*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-229)\/5 + (-10)\/25. Let k = u + 47. Let i be (28\/10)\/(16\/30) - 4. What is the third smallest value in i, k, -0.1, -2\/19?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 bigger than 431\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 3*k - 13 + 5 + 29 in the form r*k + t and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*-3)\/(12 - 13). Let w = 17 - k. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26481?\nAnswer: 3, 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -879201\/112 - -7850. Let m be ((-3)\/15)\/((-3)\/15). Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, -874, -3, -5.\nAnswer: -874, -5, -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = -0*p - 4*p, 2*b + 18 = 2*p. Let j(c) = c + 8. Let s be j(b). Suppose -1775 - 3357 = -s*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29.841, -0.2, 4, 1715.\nAnswer: -29.841, -0.2, 4, 1715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 2*a + 46. Calculate f(5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 124*x**3 + 344*x**2 + 224*x.\nAnswer: 4*x*(x + 1)*(x + 2)*(x + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - m**2 + 42*m + 8. Calculate v(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2571 + -29?\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 4*k - 5*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86302336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206986 is divided by 6676?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1*(-2)\/(-4). Let l(m) be the second derivative of -1\/2*m**2 + m + 0*m**4 + 0*m**3 + 1\/20*m**5 + 0. Determine l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/3 + 7 + -3. Suppose 0*m + 3*m - 11 = -a, 0 = w*m - 4*a - 36. Solve 3*n = -m*d + 5, 0 = -2*n - 5*d + d + 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/2 - 1884275*q + 3550492275625\/2 = 0 for q.\nAnswer: 1884275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2404?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o**2 - 11*o + 11. Let p(v) = 2*v**2 + 2*v - 2. Determine -2*b(s) - 11*p(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 1. Let q be t(-6). Suppose 7 = b - q. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*o + 334*o - 150 = -2*g, 18*o - 2*g = -40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 692603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -2, -0.04, -93?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 468329 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 677947 divided by -135\nAnswer: -677947\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1562, 3879, 6196, 8513, 10830?\nAnswer: 13147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 24 and -0.08548948.\nAnswer: 23.91451052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109360679 + -109360678.02999941. Let w = -4.9 - -5.87. Let y = m - w. Round y to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-69 - -9 - -32)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/8)\/((-324)\/(-216))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Let h(k) = -d*k**2 + 2*k**2 - 3*k**2. Let u(s) = -4*s**2. Give u(h(t)).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 24255900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10771 is divided by 178?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4\/5, -1\/3 in ascending order.\nAnswer: -4, -1\/3, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -54. Let j = 82 - x. Suppose 2*q + 5*a - 14 - 16 = 0, 30 = 2*q - a. Calculate the remainder when q is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + s**2 - 18984328*s + 18984453*s.\nAnswer: -2*s**2 + 125*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/390 + -3284\/585. What is the common denominator of y and 785\/(-150) + 2\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - -0.04. Let k = 4.7 - 1.58. Let z = k - l. What is the smallest value in -4, 1, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1. Suppose -5*b = 4*l, 0 = 3*b - 2*l - 2*l - 32. Let n(f) = 4*f**3 - 4*f**2 - 4*f. Let i(w) = b*v(w) - n(w). Let i(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k**5*((k*(k\/((k\/(k\/k**(-1)))\/k))\/k)\/k)\/k*k*k**(-1)*k)\/((k**(1\/4))**(-2\/61))**(3\/19) assuming k is positive.\nAnswer: k**(-9269\/2318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 1. Let h(k) be the third derivative of -k**5\/30 - k**4\/24 + k**3\/6 + 2*k**2 - 160*k - 2. Give h(j) + 4*w(j).\nAnswer: 2*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let f(r) = -17 + 17 + 2*r**2. Give f(x(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s - 2735 - 951 = 689 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000423573959 rounded to 7 dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4307*-0.45\nAnswer: -1938.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17493.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 6, b = -5*x + 6*x + 3650. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4033 + 7105 = -384*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 32*o**3 + o**2 + 2*o. Is 23 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31900 - 363*i - 31900.\nAnswer: -363*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t**2 + 6*t + 8. Let b be 5*(-2 - 21\/(-5)). Let v(l) = 7 + 0 - 12 - 4*l - b*l**2. Determine 5*g(q) + 8*v(q).\nAnswer: -3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136216.\nAnswer: 2, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14450 + -14455. What is the nearest to -0.2 in j, 2\/19, 760?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) -0.5 (c) -4 (d) -34 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -139. Let s = -59 + t. Solve -s*h + 5*f + 4 = 2, 0 = -h - 4*f - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84.2, 1, 2\/9, 5 in descending order.\nAnswer: 5, 1, 2\/9, -84.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoif when four letters picked without replacement from ooooiavvoiaffofiv.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432 - 306 + 564 = -30*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2967 + 3733. Let h be 79893\/(-60) + -2 + 42\/15. Let u = m + h. Are 9 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 4*z, 4*p - 4*z + 2*z = 28. Solve -3*s - 18 = -p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(6\/(-9))\/2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s - 1059493. Let f(p) = -6*p + 1. Determine y(f(x)).\nAnswer: 6*x - 1059494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37892, 37890, 37888, 37886, 37884?\nAnswer: 37882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, 6, 0, 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 381411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106493 is divided by 295?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 54.4. Let u = -4.6 - -6. Let t = m + u. Which is the third smallest value? (a) 4 (b) t (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/((-81)\/(-1134))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/224)\/((-1)\/6). What is the smallest value in 4\/7, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = -3, 4*y - 1167 = 5*k. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97453449 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*n + 2*i, -n - 4*n = 4*i + 10. Let l be (0 - n)*10\/3. Solve g = s - 1, 2 - l = 3*g + 2*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -591 + 601. Solve 3*t - o = -7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18180, 72656, 163434, 290508, 453872, 653520?\nAnswer: 889446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07506 * -0.06.\nAnswer: 0.0045036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 6 + 29)*(185 + 52*t - 185).\nAnswer: 624*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 3*c + 21*c**2 + 14*c**2 - 33*c**2.\nAnswer: 2*c**2 + 3*c - 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1\/4, 4\/15, -35, -0.1, 0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7.05. Let o = u + 0.85. Let s = o - 4.9. What is the third biggest value in 5, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 5*w**6\/6 + w**5 - 15*w**4\/2 - 70*w**3\/3 - 55*w**2\/2 - 15*w - 186. Factor s(x).\nAnswer: 5*(x - 3)*(x + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000253715083 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1599727 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1454*p**3 - 17*p + 17*p.\nAnswer: 1454*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111111100100100 (base 2) to base 5.\nAnswer: 13141402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 644 and 22?\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 3:21 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -18 - 7. Suppose 5*c = 2*c - 2*t + 12, y*t = 0. Let p(d) = -2*d**2 + 2*d - 1. Let r(s) = -2*s**2 + 2*s - 1. Calculate c*p(h) - 5*r(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (70 + -73 + 44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 18, -2, 1\/1243?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -88, -6\/5 in increasing order.\nAnswer: -88, -6\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 2. Suppose 0 = 2*o - 4*j + 16, -k*j + 20 = 5*o + 2*j. Is 4\/5 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -6, 6, 32, 78, 150, 254?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:42 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from zzxjzjxxzzzxzzzz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + u**2. Let z(y) = 5*y**3 + 9*y**2 + 3. Let w(v) = -6*m(v) + z(v). Determine w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162581 + -162583. Let q be (-30488)\/18*3\/12. Let z = -423 - q. What is the third biggest value in 3, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15313444.\nAnswer: 2, 3828361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -22. Let g(n) = -n**3 - n**2 + 3*n - 1. Let c be g(l). List the prime factors of c*(-1 - -2) - -27.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(34) - (sqrt(34) + sqrt(68)\/sqrt(2))) + sqrt(34))*-2)\/(-1*sqrt(288)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 j when four letters picked without replacement from {f: 2, m: 2, j: 4, d: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 = -2*t - 3*o, 3*o - 9 = 0. Let h(b) = b**2 + b - 4. What is the least common multiple of 12 and h(t)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.07 (b) 15 (c) 2\/329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 3*k + 0 + 0*k**2 + 1\/12*k**4 + 1\/6*k**3. Find the second derivative of a(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from hhhhhhhhhhhch.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39750)\/33125*(-3)\/(9\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -228377, -228395, -228425, -228467, -228521, -228587, -228665?\n\"Answer: -6*f**2 - 228371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 23, 15, 5, -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + -0.27. Let k = 6.5 - -0.5. Let b = 10 - k. Put a, 7, b in descending order.\nAnswer: 7, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 15\/10)\/((-2)\/140). Let a be ((-5)\/k*-48)\/(-2). Determine c, given that a*c - 4\/7 - 32\/7*c**2 = 0.\nAnswer: 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-765)\/(-17) - (1 + -1). Let a be (-411)\/g + 14\/105. Sort 1, -3, a in ascending order.\nAnswer: a, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -38*l + 5. Let v(w) be the first derivative of 19*w**2 - 4*w - 9728. Determine -2*q(h) - 3*v(h).\nAnswer: -38*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**8*z)\/z**6)\/(z**8*z\/(z\/(z*(z*z**(-2))\/z)*z)))\/((z**(-1\/4)*z*z**8*z)\/((z**1\/z)\/z**(4\/5))) assuming z is positive.\nAnswer: z**(-251\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -466 + 6293?\nAnswer: 5827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982480929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1778 divided by -1\nAnswer: -1778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 18 + h**2 - 18 - 10*h + 4*h + 9 = 0. What is h?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*p + 323 = 0, 3*s + 143 = -4*p - 340. Is s at most -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/((-6)\/4*1). Let s be 3\/((-6)\/x) - -1. Let n be (-1 + (-22)\/(-10))*10. Solve -s*i + 0 = n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from rroorrr?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 less than 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 451 - 3159\/7. What is the fourth biggest value in c, -2, 5, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5965999668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + x**3 - x**3 + (-x**2 - 3*x**2 + 2*x**2)*(3*x**2 + 3*x**2 - 7*x**2))*(-2*x + 7*x - 3*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/10 - (5 + (-1548)\/30).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 269 + -1. Let v = u + -232. What is the highest common divisor of 120 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 212 = 7*k. Let c = -13 + k. Let p = c - -19. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Solve -a*h**3 - 5*h + h - 4*h**4 - 2*h**5 + 8*h**3 + 2*h**2 + 2*h**4 = 0 for h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, 12, 42, 94, 174, 288?\n\"Answer: t**3 + 2*t**2 + t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2027861 + 13?\nAnswer: 2027874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58494*d**4 - 11*d**2 - 1448*d - 1621.\nAnswer: -701928*d**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/(-77))\/((-1)\/3). Which is the third smallest value? (a) -1 (b) 3 (c) n (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9243996 * -0.2.\nAnswer: -0.58487992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 106427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.072, 0.4, -16, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {z: 16, p: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*i = -2*o, -i - 44 = 4*o. Let l be o\/45 + 34\/72. Which is the closest to l? (a) 0 (b) 0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x**2 - x - 5. Calculate b(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(147))*-1 + -1*sqrt(147) + 0 - 3*(sqrt(147) + -2)*3)**2.\nAnswer: -5544*sqrt(3) + 36222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*(-14 - 1). Suppose b + 12 = 2*u. Solve i + 2*s - 2 = u, -i = 4*s - 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3156 or 3228?\nAnswer: 3228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 12.859193 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + sqrt(80) + 0)**2 + -5) - (-3 + (-1 + sqrt(5))**2 + -5 + 1 + sqrt(15)\/sqrt(3)).\nAnswer: -95*sqrt(5) + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1015170 by 1370.\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*r = 625*r - 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -279 + 275. Are -0.08 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772*223.\nAnswer: 172156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-19 - -271)\/36)\/(14\/4). Factor -22\/3*n + 0 - 20\/3*n**v + 2\/3*n**3.\nAnswer: 2*n*(n - 11)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 379967 and 79577.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -87700, -316 in increasing order.\nAnswer: -87700, -316, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1245056 and 2840?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) + -6*(sqrt(132) - sqrt(132)*3)))\/((sqrt(12) - sqrt(108))*-1 + sqrt(12) - 3*sqrt(432)).\nAnswer: 13*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 20298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/18 and 14709\/(-103230) + (-72)\/(-540)?\nAnswer: 20646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -12, -0.06, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -274 - -350. What is the greatest common divisor of 2204 and m?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 0 + sqrt(500)*-2)*2)**2 + 1.\nAnswer: -320*sqrt(5) + 8017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**2 + 3*c - 20. Let b be m(1). Solve 2*u + 5*l - 4 = -2*u, -20 = -b*l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 20 - 19 = -8*a. What is the highest common factor of 5905 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + 0 - 7 - 6 - 8*g + 10 to the form v*g + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Suppose 0*d = -v*d. Find the second derivative of d*o - o - o - 2*o**5 wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -170 - 98 - 32 + p + 81 - 9*p in the form a + g*p and give a.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/44629 and 11\/48?\nAnswer: 2142192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 15 = -5*c + 7, -4*c + 5*w = -20. Suppose -i + 3 = -c*i. Suppose -2*r + i = -5*k, 0 = 2*r - 0*r + 3*k - 11. Solve -14 = -r*g + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 23*h - 49. Let c be n(2). Let a(x) = 2*x + 3. Let d(v) = 25*v + 40. What is c*d(w) + 40*a(w)?\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. Suppose -v + r + 1 = 0. Suppose v*m - 40 = -2*c + m, 111 = 5*c - m. What is the greatest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/5 - 2)*1. What are the prime factors of (3\/i)\/(8\/(-256))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1596279 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1245758, -2491516, -3737274?\nAnswer: -4983032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 1534?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 9 = -n + 95, n - 35 = -2*r. Find the third derivative of -50*c**4 + 102*c**4 - r*c**6 - 39*c**2 - 52*c**4 wrt c.\nAnswer: -2040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5))**(-1)\/((p**(-1\/3)*p)\/p)**(-34))**(-6\/7) assuming p is positive.\nAnswer: p**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9135 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-2*6 - sqrt(176))\/(2*sqrt(44)))\/(3*2*sqrt(72)*-6).\nAnswer: 13*sqrt(2)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211.241 + 167.9075. Let h = -43.2235011 - k. Let g = 0.11 - h. Round g to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - 6*w**4 - 15*w**3 + 100*w**2.\nAnswer: w**2*(w - 5)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -447*z = -437*z - 20. Which is the closest to -5? (a) 3 (b) z (c) -5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (275\/(-15))\/(-11)*27\/(-30)*(-83830)\/1515\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -601*a - 78737. Determine o(-131).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 985171757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 262490 times -5\nAnswer: -1312450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**6\/240 + j**5\/40 - j**4\/16 + j**3\/12 + j**2\/2 + 4. Let l(y) be the second derivative of h(y). Factor l(z).\nAnswer: -(z - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 63492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bo when two letters picked without replacement from {a: 2, o: 8, b: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 4?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-7))\/n**(2\/9))\/(n*n**(-1\/9)*n)**15 assuming n is positive.\nAnswer: n**(-185\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/6 - 88\/48)\/(-1). Suppose -3*r + 0*r = -4*s - 55, q*s - 88 = -4*r. What is the lowest common multiple of 48 and r?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-360)\/56 - 1*(-3)\/7 - -3758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o**3 + 5*o**3 - 3*o**3)*(234*o + 12 - 96*o - 161*o)*(-3 + 2 + 2) to m*o + n*o**4 + z*o**3 + c + p*o**2 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(62928\/627)*-8\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 34 + 12 = 62 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-532)\/6)*(-21)\/288*6?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297599?\nAnswer: 139, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 40610310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 + -197\/4. Let t = -0.5 - -0.56. Let b = t - 2.06. What is the closest to p in b, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*4*(-3)\/(-48). Let d(j) = -2*j**2 + 1. Let s(g) = g**2. Give v*s(w) - d(w).\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*g + 58740, -5*n + 28*g + 58710 = 23*g. What are the prime factors of n?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 10:11 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.313348 + -0.040738. Round a to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(0 + 3\/(-2)). Let c(u) = 53*u + 1. Let y be c(v). Is (y - 2)\/(2\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 356 + -324. Calculate the common denominator of (1 - (-150)\/56) + 0 and (5 + f\/(-12))\/((-22)\/(-27)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -786, 1, 87, 5, 43 in decreasing order.\nAnswer: 87, 43, 5, 1, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17215*w - 17468*w = 7084 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139849 is divided by 286.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259372.\nAnswer: 2, 61, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 373, 1220, 2861, 5560, 9581, 15188, 22645?\nAnswer: 32216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.4998 - 5.41. Round m to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.9 - 2. Round i to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -11. Let z = 6 + u. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1632 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.1 rounded to the nearest ten?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*w**2 + 2 + (6*w + 0*w - 5*w)*(-2*w + 0*w + 3*w) + 0*w**2 + 2*w**2 - 4*w**2 + 9 + 6*w**2 - 9.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*r + 142 = -432 - 1220. Is r greater than or equal to -0.352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**4 + 2*d**4 - 6*d - d**3 + d**4 + 4*d**4 to l*d**2 + r*d + c*d**4 + b + w*d**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 0 - 2 + 4*s**4 - 12*s**4 - 3*s to l*s**2 + k*s + u*s**4 + w + m*s**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from {i: 1, r: 1, z: 2, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*j - 4*w, -4*w + 38 = 2*j - 6. Let m = j + -29. Suppose 14658 = 3*v + m*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/30 - (-1609)\/5 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1179223374 and 3108?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*j - 19, -w + 4*w - 17 = -j. Suppose 207 - 67 = d + 4*z, j*d = -4*z + 260. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/(-2)*79286\/87. Let d be 1804026\/(-4)*(-2)\/(-60). Let s = d - y. What is the common denominator of 23\/8 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*x**4 + 17*x**2?\nAnswer: 3336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 35. Let l = -2 + j. Let o(a) = a**2 - 1. Let y be o(l). Solve 2*c - 7 - 3 = y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24555664 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50751463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**4 - 10 - 44*j**3 + 30*j**2 - 33*j**2 + 43*j**3 to the form r*j**2 + t + k*j**4 + o*j**3 + q*j and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 11*y**2 - 9*y - 8. Suppose 10 = 5*q - 0. Let n = q - -10. Give m(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*u - u. Suppose -3*n - 4*h = -u, 5 = 2*n - 2*h - 17. Calculate the remainder when -2 - -26 - (0 - -1) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10730033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*d + 117*d - 33858. Is d != 342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 4*s**2 + 2*s + 7. Let z be k(5). Let p = -3 - z. Let f(b) = 14*b**2 + 1. Let w be f(1). Solve 0*j - w = -p*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 645 by 129.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -8 + 38 - 1. Let f = 441 - 297. What is the highest common factor of i and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(1053))*-4 - (2 + (2*sqrt(325) + sqrt(325) - sqrt(325) - sqrt(325)) + -4)**2.\nAnswer: -196*sqrt(13) - 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 + -89)\/(12\/((-2)\/(-2))) and -61\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*8\/3. Let j = -3 + 3. Suppose j = -3*w + w + i. Solve -w*d - 6 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2433856?\nAnswer: 2, 17, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 1. Let n be o(-1). Let j be 2\/(n\/(33\/2)). Let k = j + 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28701221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 4:14 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 39 - (-5 + 12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**2*y + 307*x**2 - 184*x*y + 11*x - y wrt x?\nAnswer: -4*y + 614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100299 and 1242.\nAnswer: 41523786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-39)*t**5 assuming t is positive.\nAnswer: t**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*p - p = -30, 5*m - 2*p - 35 = 0. Suppose -a - 2*x - 11 = 3*x, 2*x = 4*a - 66. Let o = 20 - a. Is m smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*w**3 - 128*w**3 + 4*w**2 - 138*w**3 - w**2 + 386*w**3.\nAnswer: -15*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 98647 or 99399?\nAnswer: 99399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 14*a**2 + 174*a + 10. Give l(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 886 - 879. Solve -5*c = -2*g - w, g + 2 = 11*c - 10*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/2*(-330)\/495)\/(2\/(-2318)).\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 n when four letters picked without replacement from bnnnbnnnnn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/75654 and -1\/10.\nAnswer: 378270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5719 and 1634?\nAnswer: 11438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (2 - 1) - (-55 - -53)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25.7 and 595727541.\nAnswer: 595727566.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {u: 1, z: 1, v: 4, k: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 4. Let n = -8 + 40. Suppose 3*m + m = n. Let v be r(m). Sort v, 1, -2 in ascending order.\nAnswer: v, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1740036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*q = 2*s - 9, -2 = 3*s - 4*q. What are the prime factors of 3\/(s\/14 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222 (base 3) to base 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1565590 and 2470?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37491, -31083, -13693, 20169, 75993, 159269, 275487?\nAnswer: 430137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {f: 1, v: 5, s: 3, r: 4, y: 1, b: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 48. Let l = t - -30. What is the closest to 1 in l, 1\/3, 2\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -9\/19 (c) 7.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:43 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 80*i**4 - 42200*i**3 + 270645*i**2 + 143240*i + 18235 = 0.\nAnswer: -1\/4, 7, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.491627 to 2 decimal places.\nAnswer: -33.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616802 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2665)\/(-1066))\/((-10)\/208)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**3 + 35*y**2 - 320*y wrt y.\nAnswer: -12*y + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/14*2*5\/(-100)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -458 + 458.1. What is the closest to -2\/3 in -0.09, p, -12\/11, -4?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5294, 42452, 143374, 339962, 664118, 1147744, 1822742, 2721014?\n\"Answer: 5317*b**3 - 20*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 2*z - 5. Let o be f(-4). Find the second derivative of -5*u**4 + 6*u**4 + 10*u**4 - o*u wrt u.\nAnswer: 132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108+-1.1\nAnswer: -109.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 20, 0 = 2*a - 3352*j + 3348*j - 75894. List the prime factors of a.\nAnswer: 11, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 + -11)*(-225)\/(-6). Let c be (f\/10)\/((-27)\/(-828)). Is -1\/2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 158, 3\/7, -0.2, 3\/4, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-1)\/3)\/((-31)\/(620\/(-112))).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44920*y - 44928*y + 7 - 7.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231033331 (base 4) to base 10.\nAnswer: -185341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (78285\/(-153))\/(1\/(-3)) is divided by 327.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5144 (base 6) to base 2.\nAnswer: -10001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 776776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j - 25*j**4 - 21*j + 1 - 14*j - j**2 + 5*j**2 + 30*j**4 wrt j?\nAnswer: 60*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voov when four letters picked without replacement from voovvo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + o + 1. Let s(x) = -95*x**3 - 2*x**2 + 2*x + 1. What is 2*g(b) - s(b)?\nAnswer: 95*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 3:41 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:08 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 5*f - 4*l, f - 3*l + 144 = -2*f. Let g = -81 - f. Let b = -9 - g. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.982461 hours to minutes.\nAnswer: 58.94766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in -0.01, 2, 0.2, -6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*i**6 - 63*i**3 + 37*i**2 - 3*i - 13?\nAnswer: -5520*i**3 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 14*f = 10*f - 7, 0 = 4*q - 3*f + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 - a + 2. Let b(j) = 605*j**2 - 2945*j - 60. Let k(i) = -b(i) - 30*o(i). What is the second derivative of k(l) wrt l?\nAnswer: -1390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -30. Let r be j\/9*1\/((-4)\/852). Let f = 73 - r. What is the highest common factor of 16 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 202.044834s?\nAnswer: 0.002338481875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 271.3 - -0.3.\nAnswer: 271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1041 + -22214?\nAnswer: -23255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, l: 2, a: 5, m: 1, d: 8}. Give prob of sequence dlmc.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 2*n**6\/5 + 11*n**5\/5 + 11*n**4\/3 + 2*n**3\/3 - 4*n**2 - 26*n. Factor h(u).\nAnswer: 4*(u + 1)**2*(u + 2)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 27243511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z**3. Suppose t = 2*t + 6. Let i = t + 13. What is the remainder when m(1) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 177 = -177. Let a = -6 - -11. Suppose k = -4*t + 6*o - o + 885, -3*t = -a*o - 665. Is 55 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/488 (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -19. Let m(y) = -y - 2. Let x be m(r). Let z(o) = o**3 + 3*o**2 + 4*o + 8. Let w be z(-3). Put w, x, -2 in increasing order.\nAnswer: w, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124689\/7 - 249315\/14. Suppose -g**2 - 9\/2*g**3 + 2 + x*g - g**4 = 0. What is g?\nAnswer: -4, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698760 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**4\/6 - 16*r. Let d(k) be the first derivative of -k**3\/3 + 4. Give d(a(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9292.304 years?\nAnswer: 111507.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - (-26 - (13 - -1)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037914104 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**5\/30 + d**4\/8 + 31*d**3\/3 - 14. Let j(q) be the third derivative of u(q). Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 28. Let h be (-1012)\/(-165) + 4\/(-30). Let x be (3\/h)\/(1\/(-14)). Let g be p(x). Solve -5*a - 16 = -4*i, -2*i + g*a = 5*a - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011481 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)*(-16 - -1). Let f be ((-225)\/12)\/(6\/(-24)). What is the greatest common factor of f and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 992*s**3 + 14*s**2 - 14*s + 1. What are the prime factors of i(1)?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-18) - (-8)\/24. Solve 0 = 3*t + 4*n - 22, -2*n - 8 = -v*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1881 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 81*j + 3\/2*j**2 + 2187\/2 = 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2928000 = 8*z - 4*z. What is z rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -109. Let p be ((-9)\/34)\/(o\/(-60)). Let w = 2\/17 + p. Sort w, 0.4, 2, -2 in descending order.\nAnswer: 2, w, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -740.\nAnswer: -1\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0, -3\/7, 1\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 8:34 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -1. Let y(z) = 42*z**2 + 58*z - 57. Calculate the lowest common multiple of y(1) and b.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7532 is divided by 1544.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 58362759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -20, 8, -159 in increasing order.\nAnswer: -159, -20, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, g: 2, o: 1, k: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 313*v**2 + 22*v + 3. Let u(s) = 628*s**2 + 44*s + 7. Let m(b) = -9*j(b) + 4*u(b). What is the second derivative of m(c) wrt c?\nAnswer: -610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45441230?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, -8 in descending order.\nAnswer: 11, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 15 - (2 + 2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-192)\/(-693) - (-2)\/(-11). Let l be (-12056)\/9240 + (-7)\/(-5). Suppose -2\/21 + l*m**2 - r*m + 2\/21*m**3 = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbqbtzqqzbtbzbbtzbbb. Give prob of picking 2 t and 1 z.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005251733 to seven decimal places.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:36 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 15. Let l be r(13). Suppose -l*x + 68*x = 0. Suppose x = 8*p - 11*p + 2823. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -1235\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 7*j + 13. Calculate y(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2, -72 in increasing order.\nAnswer: -72, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15846 and 1933402?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 24 = -2*p. Let t = -83 + 201. Let i be 8\/p - t\/(-6). Solve -i = 3*y - w, -5*y + 4*w + w = 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 111.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40374\/22 + (7 - 395\/55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from qnnnccqckqcqakknvvnn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 1 - 3*t**2 + 3*t - 13*t**2 - 5 as d*t**2 + o*t + v and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011001001 - 11?\nAnswer: -101011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v + v. Let m = 7 - v. What are the prime factors of (-8)\/(-2 + -2)*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283111.9 litres to millilitres.\nAnswer: 283111900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 + 268.34. Let u = -36 + l. Let c = 0.3400039 - u. Round c to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4122922 + -0.5.\nAnswer: 4122921.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 3*a**2 + 4*a - 8. Let y be g(3). Let r be (-1 - 4)*(0 + 1). Suppose -3*w + 17 = -5*x, 2*x - 6 = 3*w - 5*w. Sort x, y, r in decreasing order.\nAnswer: y, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/4))\/m*m\/m**2)**(27\/2) assuming m is positive.\nAnswer: m**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*g**2*n**3 - 512*g**2*n**2 - 9*g**2 + 4*g*n**2 - 376163*n**3 wrt n.\nAnswer: -96*g**2 - 2256978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -23. What is the biggest value in 2, 1\/4, g, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 1:11 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 51. Suppose -2*j + 51 = 3*o - 289, 2*j = -y. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183\/5 - (-10)\/25 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 776 + -9?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -25\/2*v - 65\/3 - 5\/6*v**2 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a factor of 41508894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - w**3 - 4*w**2 + 45*w + 4 - 46*w as z*w**2 + s*w**3 + t + u*w and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.31 - 3653658360.\nAnswer: -3653658360.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14*m - 7. Suppose -3*q + 0*q = 30. Let z(j) = -j**3 - 10*j**2 - 2*j - 11. Let l be z(q). Is t(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-45)*3 + 24\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11433 (base 5) to base 16\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 25*f + 51. Let v be u(-25). Suppose -49*o + v*o = 648. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 plus 2.69464?\nAnswer: -54.30536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmbpmbmwmwmmm. Give prob of sequence mm.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9172 + -5504. Calculate the smallest common multiple of 10 and o.\nAnswer: 18340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3204 and 78?\nAnswer: 41652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2334363 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnkk. Give prob of sequence nkkk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 9*q**2 + 3*q - 22. Suppose 3*v + 24 = 5*m - 17, 3*m + 4*v - 42 = 0. Does 27 divide d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-30))\/(11\/(-33))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*w + 119*c**2 + 8*c*f - 2*c*w - c - 2*f*w - 17*f + 5*w - 2 wrt c.\nAnswer: -2*c*w + 238*c + 8*f - 2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 7\/2317291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 3215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**2 - 1665752*q - 123287552 = 0.\nAnswer: -74, 416512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*r + 13 = 0, -3*f + 29*r = 25*r + 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/a)\/a**(12\/11) assuming a is positive.\nAnswer: a**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45.8 - 46. Let x = z + 0.6. Which is the third biggest value? (a) -2\/7 (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125.9 less than or equal to -56539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*2\/1*2. Suppose -4*u = -5*u + k. Suppose u*r - 4 = 2*r. Is r at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecqqqqqqqeceeqqeqeq. Give prob of picking 3 e.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 34*r**2 - 35*r - 67. What is o(-33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or -0.588?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 341044 - 3?\nAnswer: 341041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2\/(-12))\/((-18)\/(-1026)))\/((-1)\/2). Let t(w) = -3*w - 2. Let u be t(-6). Solve 7*i - u = b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*42\/315*1\/6\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 465 + -513.6. Let b = -48.59409 - y. Round b to 4 decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2982793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/(-115)*10\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -11. Suppose 3*j + n*j = 20. Suppose 0 = j*q - 4 - 12. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d - 958 + 1218 = 0 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 - 34*h**2 + 37*h - 43. Let c be y(16). Solve 47*o = c*o + 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 3*p - 8*p + 3*p - 192 - 20*p.\nAnswer: -16*p - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7*m = -30. Let f = 11 - m. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.6. Let k = 0 + m. Let q be (-4)\/(-6)*(-2)\/4. Which is the nearest to q? (a) k (b) -2\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 25*y = 288. What is the least common multiple of y and 52?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.12964772 to 1 dp.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.278357 centuries?\nAnswer: 11134.0284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57 + 27)\/30)\/(1\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4564562737.\nAnswer: 7, 167, 3904673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64155 by -39.\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 101. Let z be s(12). Suppose 3 = 4*h + z*x, -4*h + 0*x = -5*x - 13. Solve h*f + 2*c = 17 - 5, -4*f + 4*c = 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f9 - -ca2?\nAnswer: e9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 24 + (7 - 5) + -14\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u + g = 0, 0 = 4*u + 2*g. Let r = u + 6. What are the prime factors of ((-2)\/r)\/(4\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 76. Let l be 2 - (0 + i) - 46\/(-10). Which is bigger: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-93)\/(23436\/(-210))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -3*u**5\/5 + 29*u**4\/4 - 17*u**3\/2 - 75*u**2 + 78*u + 12. Factor q(j).\nAnswer: -3*(j - 2)*(j + 1)*(4*j - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 26. Is -6 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812\/3*b - 164836\/3 - 1\/3*b**2 = 0. What is b?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(108) - (-1*sqrt(108) + sqrt(108)))\/sqrt(9)*-4.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4)\/n**(2\/7))**(-3\/35) assuming n is positive.\nAnswer: n**(18\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4159, 4\/9, 2\/13.\nAnswer: -4159, 2\/13, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1441, 6, 3, -4, -145, -3.\nAnswer: -1441, -145, -4, -3, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431995923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478145 is divided by 159374?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -1)**2*-6.\nAnswer: -9510 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011723 to six dps.\nAnswer: 0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4652995858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1901414 = -223*t + 5906494. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 20*l**2\/7 + 8*l - 48\/7.\nAnswer: 2*(l - 6)*(l - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1849928, 3699870, 5549810, 7399748, 9249684, 11099618, 12949550?\nAnswer: 14799480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 82 = c, 4*c - 256 = 2*i + 48. What is the greatest common divisor of c and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-126)\/33 - 4\/(-22). Put 2, -5, d, 1 in decreasing order.\nAnswer: d, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 6*v**2 + 3*v + 4. Let l be h(-3). Let g = -6205 + 6194. Which is the smallest value? (a) g (b) l (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20501*u**2 + 91*u + 20503*u**2 - 23*u + (3*u + u - 5*u)*(-u + 4 - 4) as x + j*u**2 + a*u and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a. Let l be (-14)\/(-70) + (-48)\/(-10). Let p(q) = -10*q + l*q**2 + 22*q - 12*q. What is p(s(u))?\nAnswer: 125*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 7, -323 in ascending order.\nAnswer: -323, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22165 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 4*c + 9*c - 6*c. Let r(a) = -7*a. Give p(r(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26050032 and 7614.\nAnswer: 78150096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -7. Find the second derivative of -2*r**3 - 4*r + b*r + 5*r**3 wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-36) + 1\/(-4). Let x = -1\/12 + r. Let p = 1\/4 + x. Which is the closest to 1? (a) -2 (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 106014*g - 106012.\nAnswer: -2*(g + 1)*(g + 53006)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 264 + -249. Let w be ((-33)\/v - -2)\/((-3)\/6). Factor -4\/5*n + 2\/5*n**2 + w.\nAnswer: 2*(n - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2*i = 0. Suppose 4*z - 6 = 2*z. Suppose 151 = z*s + 5*b, -16 = 4*b - i*b. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/4 + 8*k**3\/3 - 3*k**2\/2 - 7*k + 1. Let h be c(-7). Let j = -38 + h. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**3 + 6*w**3 + 35*w**3)*(-4 + 9 - 1)*(3 - 1 - 1).\nAnswer: 136*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 65*v**2 - 380*v - 30. Let y be a(6). Let t(i) = 22*i**2 + 5*i - 5. Let r be t(5). Calculate the greatest common divisor of r and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3184855.4 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/12*2)\/(1\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 7*(-5 + -2078). Let h = x - 8476. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/5))\/(u**7*u))**37)**(-9\/4) assuming u is positive.\nAnswer: u**(12321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 169348412 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273762487?\nAnswer: 89, 331, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from runnrsfunnuurinnirn. Give prob of sequence nifu.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) - (-2885)\/(-25). Let n = 0 - d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 19*m = 8. What is the second biggest value in -0.06, -7\/6, m?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:53 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - y + 7141 = 0, -2*j + 4*y + 1472 + 1380 = 0. What are the prime factors of j?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4800 divided by 32\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*a - 2704. Suppose 2*p + 121 + 3614 = 5*f, 4*f = 4*p + 7440. Let h = p - a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542 - 48 = 44*t + 54 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.26 + -6.25996434. Round r to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -1147, -114 in ascending order.\nAnswer: -1147, -114, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112231 (base 6) to base 15.\nAnswer: -2c9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 3, -4\/3, -1\/484?\nAnswer: -1\/484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbccbcc. Give prob of picking 2 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-13) + ((-80)\/494 - (115 - 115)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 7)*(1 - m**2 - 1 + 4*m - 4*m**2 - 4*m + (-2*m + 2*m + 2*m)*(0*m + 4*m - 3*m) - 2*m**2 + 3 - 3)*(-m**2 - 2*m**2 + m**2).\nAnswer: 40*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*v - v**2 - 69*v + 202*v as c + q*v + u*v**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 - 65 - 45 - 41 + 3709*j.\nAnswer: 3709*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 146257 - 386447\nAnswer: -240190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2051 + -1991. Solve 71*n = x*n + 66 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1443 - -1428. Which is the fourth biggest value? (a) f (b) 5 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/((-9)\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 86923.21km?\nAnswer: 86923210000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 8 (c) -1\/5 (d) -20 (e) 19 (f) 4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from aaayayyalyakkaykaa?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/45 + 4194\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163 and 5385520.\nAnswer: 5385520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21908 by 3.\nAnswer: 21908\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10211?\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38424 or -38329?\nAnswer: -38329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6144, -12094, -18028, -23940, -29824, -35674, -41484, -47248?\nAnswer: -52960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**4 + 3 + 3*c**3 - 148*c**2 + 296*c**2 + 2*c - 149*c**2 to x*c**3 + z*c + p*c**4 + a + f*c**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*a - 176, 4*a + 2*c - 17 = 115. Let b(d) = 2*d**2 - 65*d - 2. Does 26 divide b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/30 - g**2. Let s(f) = 4*f**2 + 3*f - 3. Let j(d) = 7*d**2 + 7*d - 7. Let v(o) = -3*j(o) + 7*s(o). Give b(v(w)).\nAnswer: 98*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 928 + -2788\/3. Let c = 134\/5 - 26. Which is bigger: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -506 - -1002. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-13 - -1) + 13 - -6?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 40*f**2 - 333*f.\nAnswer: -f*(f - 111)*(f - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (-3)\/12*0 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 1218.\nAnswer: -16\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795048952.\nAnswer: 2, 307, 323717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4+2022540\nAnswer: 2022536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23135 = 90*t + 1362*t - 55273 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/3710 and -7\/40.\nAnswer: 14840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/820*5\/(-3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8207*a + 16422. Give m(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/12480 and 53\/708240.\nAnswer: 2832960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 4*z + 5. Let c be t(5). Suppose 4*d + 3*f - 8*f - 72 = c, -90 = -5*d + f. What is the greatest common divisor of d and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**9\/7560 - v**8\/1470 - 11*v**7\/8820 - v**6\/1260 + v**4\/6 + 4*v. Let n(f) be the third derivative of c(f). Factor n(u).\nAnswer: -2*u*(u + 1)**2*(7*u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 18 = 5*a, 4*l - 12 = 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 557, 1532, 3345, 6272, 10589, 16572?\nAnswer: 24497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.96 + 0.04. Let a = g - 2. Let n(f) = -f**3 + 6*f**2 - 4. Let k be n(6). Sort k, -2\/9, a in decreasing order.\nAnswer: a, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2, -22 in increasing order.\nAnswer: -22, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/((-55)\/50) + -7. Solve -h*z - 14 = -d, 2*d + 4 + 4 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Suppose 0 = -d*b + 32 + 24. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193478612 and 49289.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/((-53466)\/76))\/(1\/9)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -840*t - 364 = -854*t. Solve t*g - 12 = 20*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 - 7*o**3\/3 + 4*o**2 - 6*o - 3. Let x be 4 + 1*(1 + -2 + 3). What is i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -2\/55*b**5 + 0*b**3 - 2\/11*b**2 + 2\/11*b + 1\/11*b**4 + 1. Suppose o(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13602288?\nAnswer: 2, 3, 7, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40665905 and 7.\nAnswer: 40665905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 15876407?\nAnswer: 15876404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3071?\nAnswer: 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2\/17 - 6408574*o\/17 - 8971984\/17.\nAnswer: -2*(o + 640856)*(5*o + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/11 - 4267*i\/11 - 55640\/11.\nAnswer: (i - 4280)*(i + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -9*u - 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 2. Suppose 4*x + 0*x + z - 13 = 0, x - 2*z - 10 = 0. Suppose -x*j + 4*m = -4, -n*j = -2*m + 7*m - 37. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -78 - 42. Let l = s + 25. Let m(b) = -9*b**2 + 2*b - 1. Determine m(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 4235760?\nAnswer: 4235760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -592*g + 1512*g - 103*g + 104*g**2 + 1603*g - 99*g**2 as n*g**2 + r*g + c and give r.\nAnswer: 2420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 + 281*k**2 - 19599*k - 19881 = 0 for k.\nAnswer: -1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2697 or -2699?\nAnswer: -2697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**3 - 18*k**3 - 11*k**3 - 21*k**3 + 69*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.827 take away 7612.780576?\nAnswer: -7679.607576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 2\/3*c**3 + 0*c**4 + 0 + c**2 + 0*c + 0*c**5 + 0*c**6 + 1\/70*c**7. Find the first derivative of h(s) wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51028 is divided by 10126?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057055?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039 a factor of 2041025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4718 + 0.4\nAnswer: 4718.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 2*n. Calculate the common denominator of (14\/32 - n)*-3 and 60\/(-90) + 262\/(-264)*-2.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893.\nAnswer: 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22402 (base 5) to base 9\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 + 7201663*u - 3600831 = 0. Calculate u.\nAnswer: 1\/2, 3600831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - 4.09. Let l = 2.3 + 0.7. Let a = 9 + -8. Sort a, l, x in descending order.\nAnswer: l, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwgm when four letters picked without replacement from mggugumgugwmmgc?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h**2 + 2*h + 1. Let x be b(2). Let q = -1.2 - -1.14. Let j = -0.16 - q. Which is bigger: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2679906 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-3))\/1)\/((-12)\/54).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9708408 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-12) - (-1054)\/6. Let q be (-1)\/(t\/50958) - -2. Let b = 2277\/8 + q. What is the common denominator of b and -15\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -7*w**4\/12 + 48*w - 287. Suppose -j - l = 0, 3*j - 3*l - 15 = j. Let z(m) = -22*m**2. Give j*z(q) - 10*b(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 53.8\nAnswer: 484.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u + 133 - 133 - u**3 + 2*u**3 + 2 - 2 - 1 + 1 + 2*u**3 + (3 - u**2 - 3)*(-2 + 2 + u) to m*u**2 + f*u + c*u**3 + b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8177138 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 20. Suppose -s + 13 = 3*f, -s + 3 = -5*f + 14. What is the lowest common multiple of w and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 359*u + 3. Suppose 46*j = 5*i + 42*j - 2, 0 = -2*i + 4*j - 4. What are the prime factors of d(i)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17217775 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k - 30. Let r = 1868 + -1855. Calculate h(r).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*p + 231*p = -5*k + 21937, 0 = k + 5*p - 4361. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519920651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 - 2*v**2 - 7. Let d(c) = 304 - 154 + 2*c**2 - 144 - 3*c**3. Determine 7*d(b) + 6*o(b).\nAnswer: 3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 - 2 - 5 + 0 + 14*c**3 as p*c**3 + a*c + r + l*c**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w\/(w**(-9)\/w))\/(w\/(((w\/(w*w**(-1\/4)*w))\/w*w)\/w))**24 assuming w is positive.\nAnswer: w**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 6:21 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 6*o - 2. Let q be ((-12)\/(-4))\/((-155)\/(-35) - 4). Calculate u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1326207*m**2 + 1599*m + 58 wrt m.\nAnswer: -2652414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25154532 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (536\/(-670))\/(18\/(-15))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1246975.\nAnswer: 5, 31, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62546 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1312 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l. Determine f(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 87?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * -238577.\nAnswer: -59644.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 453 + -403. Suppose h + 1 = -o, 5*h + 48*o - l*o + 26 = 0. What is the closest to -1\/4 in -5, -3, h, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*sqrt(24)\/sqrt(4))\/sqrt(3).\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 204. Give p(1).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27567, 28377, 29725, 31611?\n\"Answer: 269*s**2 + 3*s + 27295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 441, 784, 1141, 1506, 1873?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-11)))\/m)\/((m**(-8)*m)\/m)*(((m**9\/m)\/m)\/m)\/(m**(2\/15)*m) assuming m is positive.\nAnswer: m**(343\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*g - 40 + 287*g + 144*g + 40.\nAnswer: 304*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25753847.\nAnswer: 7, 3679121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11049 and 580.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/(h**5*h)*h**5\/h**(-2\/27))\/(h**(5\/6)*h**1\/h)**(-30) assuming h is positive.\nAnswer: h**(1327\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**2. Let g be v(1). Let z be 6 - (0 + -1 + 0). Is z greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4448696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(11) + 0.\nAnswer: -4 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f - 3 = -21*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:00 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/480 and (-408)\/15*5\/(-180)*3.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, l: 1, y: 1, w: 3}. What is prob of picking 1 l and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2803 - -2804. Are b and 2\/10145 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 763*z**5\/60 + 13*z**4\/8 - 4*z**3\/3 - 4*z**2 + 68. What is the second derivative of u(v) wrt v?\nAnswer: 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (6 - (0 - (-8 + -7)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269*z + 129952 = -237*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4989*-32\nAnswer: -159648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*g + 3*g - 6*g + 273 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786474.\nAnswer: 2, 3, 13, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 3:58 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146776 and 134624.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -27, -2\/15, 0.1, -31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y = 0. Suppose y = -0*u + 4*u + p - 8, -3*u + 5 = p. Let l(x) = -x**3 + 2 + 4*x**u - 4*x**3 - x**2 - 2*x - 4*x**2. Determine l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2\/5, -4, -2690, 1\/7, 2, 3\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 4*d - 27, -299*o + 3*d + 15 = -300*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(5\/3)\/(n\/(n*n**4)))\/(n\/((((n*n*n*(n**1\/n)\/n)\/n)\/n)\/n)*n)**2 assuming n is positive.\nAnswer: n**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4150687475.\nAnswer: 5, 11, 181, 83389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5475, 2, -6 in increasing order.\nAnswer: -30, -6, 2, 5475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61*w**2 - 61*w**2 + 7*w**3)*((-16 + 43 - 11)*(9*w + 7*w + 7*w) + w + 4*w - 3*w) to u*w**4 + j*w**2 + f*w + p + m*w**3 and give u.\nAnswer: 2590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -5 + (111 - 66) + -55.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1609782170730.79 and -0.06?\nAnswer: 1609782170730.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20537 take away 848437?\nAnswer: -848437.20537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10404*x**3 - 5201*x**3 - 5214*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -62. What are the prime factors of (-6)\/4*-104 - 0\/c?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*v + h + 10, 0 = -3*v - h - 10. Is 7\/(56\/8586) - (-1)\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 422.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 124.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(9 + 504\/(-45))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 110, 94, -30, -268, -626, -1110?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201998117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.2 + -1.2. Let y = 26 - 16. Let g = y - s. Which is the smallest value? (a) g (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 66*p**2 + 18*p + 48. What is the remainder when m(-4) is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 12 = 7*y. Suppose 5*t = -y*r + 63 + 47, 4*r + t = 238. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3036960 divided by 45\nAnswer: -67488","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: (54 - ((94 - 90) + (3 + -4 - 11))) + 3\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 100. Suppose 0 = -4*a - x + 264. Suppose -4*o = 16, -425 = -5*q + o - a. What is the least common multiple of q and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25a1b91 (base 12) to base 3.\nAnswer: 111222022210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkiikkkkkik. Give prob of sequence kkik.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425845 is divided by 212920.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9*-64*((-34)\/36 + 1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1300200 + -21303?\nAnswer: -1322103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ededeqdeqdeeqhq. What is prob of picking 1 q and 2 e?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7263928*r**2*u**4 + 102*r**2*u + 23847*u wrt u.\nAnswer: 87167136*r**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + x - 6. Let f be v(7). Let i = f - 48. Suppose 212 = -0*p + i*p. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1697643689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-9)\/g*g**(-1\/4)\/g*g**(-1\/3)*g*g**(-3)*((g\/(g*g\/g**(1\/3)))\/g*g)**(-14)*((g*g*g**(-1\/5))\/g)**(1\/10) assuming g is positive.\nAnswer: g**(-417\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 2:01 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -241\/476 - -3\/476. Let h = -0.26 - -3.26. Which is the closest to v? (a) -17 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18556863 and 6162?\nAnswer: 37113726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817 + 721 = -48*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.06309 millilitres in litres?\nAnswer: 0.04006309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 2, n: 3, g: 4, a: 1}. What is prob of picking 1 z and 1 a?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5417?\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 - 4ba94?\nAnswer: -4baad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*i + i - 21 = 0, 2*g + 4*i = 22. Suppose 35 = w - 0*w + 3*m, -w + 53 = -g*m. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**4\/6 + 3*a**2\/2 + 443*a. Let w(d) = 12*d. What is q(w(s))?\nAnswer: 288*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/(-160))\/(45\/(-25)*(-56)\/126)?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 2)*(-y**2 + 3 - 3*y - 3) to r*y**2 + g + u*y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 74 = -3*n, -60*r + 3*n = -59*r - 22. What is the remainder when r is divided by 4\/5*125\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 7\/627 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.38 - -0.08. Let r = -7 + 8. What is the nearest to r in -1, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*15\/6*44\/(-165)*-5*-6?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*y = 27*y - 312 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8185.378 rounded to the nearest one hundred?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378, -384, -400, -432, -486?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -2\/173, 26, 1\/7?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - -2508?\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5683.216 millilitres to litres.\nAnswer: 5.683216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 12*i**2 - 15*i + 13. What is t(13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 + 224 - 7*x**2 - 449.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -161 (c) 2\/5 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -4 + sqrt(5) + -1 - sqrt(5))**2*-3 - (-2 + 3*(-1 + sqrt(5))).\nAnswer: -85 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.580306 days?\nAnswer: 482138438.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 148519700 to the nearest one hundred thousand.\nAnswer: 148500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/308? (a) 3 (b) -4 (c) 1.32 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5550526 (base 7) to base 15.\nAnswer: -d7c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28b (base 12) to base 10\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 12, -5, 0 in increasing order.\nAnswer: -5, 0, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65715 - -65722. Let m = 5\/6 + -13\/12. Sort l, 0.5, -3, m in increasing order.\nAnswer: -3, m, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2255 - -2268. Let g(c) = 4*c**2 - 51*c - 11. What is g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10343021130 (base 5) to base 3\nAnswer: -210021000100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 4:59 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) -46\/45 (b) 4 (c) 280 (d) -1\/7 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*b - 7151 = -6921 + 7260 + 11991 for b.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 12*b - 10 + 0*b + 0*b + 4*b.\nAnswer: -3*b - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37974893 and 411.\nAnswer: 113924679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*v + 2*j, 3*v + 3*j = -v + 23. Solve v*b + 3 = -5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 + 3*v - 7*v**2 + 0 + 180 - 3*v**2 + 25*v**2.\nAnswer: 11*v**2 + 3*v + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 10. What are the prime factors of (-2)\/h + 116\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2052*d - 125. Let c(p) = 281124*p - 17100. What is 5*c(v) - 684*f(v)?\nAnswer: 2052*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0485 - 389.0485. Let x = -440.5028 + 829.4869. Let u = x + m. What is u rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1.0687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19062, -38125, -57188, -76251, -95314, -114377?\n\"Answer: -19063*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f + 68. Let i(k) = -2*k + 23. What is -11*i(y) + 4*r(y)?\nAnswer: -2*y + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93 - 4*k + 3*k**4 + 93 + 49*k**3 - 49*k**3 + 76*k**4 + k**4 + 2*k**4 - 2*k**4 - k**4 - 2*k + 2*k + (k**2 + 1 - 1)*(-2 - 2*k**2 + 2).\nAnswer: 77*k**4 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuuu when four letters picked without replacement from {m: 5, w: 3, q: 1, u: 3}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*(4*(sqrt(336) + sqrt(336)*-1) + -5*2*sqrt(336))\/(sqrt(14)\/sqrt(2)*1 - sqrt(7) - 5*sqrt(28)))**2)*-3.\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*h = -293*h + 136*h + 128 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0*u)\/u*u)**43)**9 assuming u is positive.\nAnswer: u**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yltxxl. Give prob of sequence lty.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 = 2*p - 13, 2*p = 5*v + 16. Let x(s) = -3*s**3 - 2*s**2 + 3*s + 3. Calculate x(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 48, -3, -2, -253\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k + 2*g = 2, -5*g = -25. Suppose 0 = -x + k + 2. Suppose x = f - 21. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**3\/6 + 10*c**2 - 4*c. Suppose -2*r = -r. Let d be n(r). Solve -4*w - d = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1851520 and 62\/130185.\nAnswer: 16663680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.333 + 3.333. Let g = 2341\/4 + -586. What is the smallest value in i, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1197 - 96a?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -46*o + 1924. Let r(n) = 7*n - 322. Calculate 6*c(i) + 39*r(i).\nAnswer: -3*i - 1014","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036.071351 nanoseconds in weeks?\nAnswer: 0.0000000000017130809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 0.4263\nAnswer: -2.5578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = b + 32. Suppose -b*d = -5*v + 569, -v + 2*d + 176 = 67. Calculate the highest common factor of 78 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 2, f: 1, q: 2, w: 1, r: 2}. Give prob of picking 1 r and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {w: 2, t: 4, y: 3, c: 4, e: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + f - 20792745 = 0, f = -0*f + 5. Let l = -2683902 - -285717. Let p = l - r. Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14922564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -467 + 3731\/8. Let j be (-7)\/7 - (-114)\/56. Let n = 799\/28 - j. What is the common denominator of n and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1732*a**3 + 48*a**2 + 230. Let q(u) = 1732*u**3 - 44*u**2 - 230. Let b(o) = -12*q(o) - 11*r(o). Differentiate b(h) wrt h.\nAnswer: -5196*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 10*y**2 + 11*y + 3. Let d be a(11). Let q = d - -1. Suppose 0 + 4 = 2*t + 5*b, q*t + 3*b - 8 = 0. Solve t*u - 6*u = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 104 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 8. Let l = z + 8. Suppose 2*y - 4 = 2*h - 2, -l*y - h = 1. Put -2, y, 4 in descending order.\nAnswer: 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152349171 divided by 169843.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(4\/23))\/z*(z*z**(-19)*z)\/z*z*z\/(z**(-5)\/z)*z*z*z**(4\/11))**(-15) assuming z is positive.\nAnswer: z**(28320\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnsnnssnsnnnnsnnsns. What is prob of sequence sssn?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -54 + 62. Let r(c) = c - 6 - 8*c**2 + c**3 + c - c. What is the lowest common multiple of 16 and r(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/101543?\nAnswer: -3\/101543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-40)*(-24)\/(-660)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 10*j. Let s be n(6). Let m = 11 - s. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - s + 2. Let r be p(-2). Let f = r - -5. Let x = 11 - f. What is the closest to -0.1 in -3, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 374.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 107 - 126 = -4*v, 4*i + 4*v - 188 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 266*f**2 + 119*f**2 + 72*f**2 + 3*f + 3 + 10*f + 76*f**2.\nAnswer: f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - 0*x. Suppose 5*p = 2*d + 694, 0*p = x*p - 5*d - 405. Suppose w = -3*w - 2*t + p, 3*w = 3*t + 105. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d5bb4e + 4?\nAnswer: -2d5bb4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102)*-3*-6 - (sqrt(102) - -4*sqrt(102)*-3))\/((sqrt(72) - sqrt(72)*2)\/(1*sqrt(3)*-1)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60620 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6580 - 6475 = 7*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 96, 3\/8, -0.29, 3\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6422.2 and -3?\nAnswer: 6419.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/35695447 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173898890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.362 + -0.038. Let x = b - -5. Let s = -0.01 - -4.01. Put s, -3, x in increasing order.\nAnswer: -3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (39 - -9 - -24)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027215 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 81 + 67. Which is smaller: 73 or j?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -264300 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9.2*-10.1\nAnswer: -92.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 4\/5, 0.09, -47825, 3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 + 4.5. What is the nearest to -1 in r, -2\/15, 3\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**3\/3 - 2*i**2 - i. Let m be t(3). Let p(o) = -3 - 2 + 3 + m*o. Give p(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.75 - -33.25. Let m = v - 34.079. What is m rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93826 + 118784 = 11*o - 111901. What are the prime factors of o?\nAnswer: 29501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 - 7*h**5\/20 - 11*h**4\/12 + 8*h**3 + 8475*h**2. Calculate z(22).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 8*m + 21. Let r be y(6). Factor 20*b**2 + 3*b**3 + r*b - 32*b**2 + 0*b**3.\nAnswer: 3*b*(b - 3)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34978096.\nAnswer: 2, 73, 29947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/8 - 1287*y**2\/8 + 188700*y - 41740000.\nAnswer: -(y - 400)**2*(y + 2087)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (sqrt(2736) + -1)) + -3 - sqrt(2736)*1*-6) + ((sqrt(684)*-1)**2 - sqrt(684)) + sqrt(19)*2 + 4 + -1.\nAnswer: 68*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 5. Suppose -4*x = -3*x. Let v be t(x). Find the third derivative of -6*c**2 + 17*c**5 + c**4 - 11*c**v - c**4 wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**4\/4 + 4*o**3\/3 + 8*o**2. What are the prime factors of p(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 7*v**2 + 13*v + 3. Let o be 2 + 21\/(-3) + -4. What are the prime factors of d(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/90*((-9)\/7 + 1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72267 less than -0.686?\nAnswer: 72266.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**3\/3 + 3*a + 601. Suppose 0 = 5*o + 6 + 39. Let t be 2\/o + 29\/9. Calculate r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 11 = 7. Suppose t*n - 7*n = -5. Suppose -454 = -n*j - f, 3*j + 3*f = 2*f + 274. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5*w**3 + 1641*k**5 - 5*k*w + 9*w**3 + 42*w**2 wrt k?\nAnswer: -40*k**3*w**3 + 32820*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*n - 27 + 27 to the form i + m*n and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 491*h**2 - 111*h + 54461. What is v(491)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32834151 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + b**3 + 2)*(-3*b**2 + 2*b**2 - 2*b**2)*(-2 + 1 - 1).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 5975757 and 5975755 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + 6. Let h(f) = 12*f + 5. Let r(m) = -20*m - 10. Let c(n) = 7*h(n) + 4*r(n). Let p(y) = -6*c(y) - 5*x(y). Let w(v) = 2*v**2. What is p(w(d))?\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 101*a - 46165. Give b(-142).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 507a2440 + 13?\nAnswer: 507a2453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -23 + 13 + k**2 + 9. Give z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47106?\nAnswer: 2, 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -449*d**2 + 449*d**2 + 17*d**5 + 0*d**5 - 3*d**5 + 5*d**5 + (0*d + d - 2*d)*(3 - d**4 - 3).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**26*s**17)\/(s**(2\/39)\/s**(1\/15)) assuming s is positive.\nAnswer: s**(-454\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 3 (b) 1\/45 (c) -1167\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3821*l - 34430. Calculate t(-9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 3*y. Let w be f(-2). Suppose -2*m = w*m. Suppose m = -x - 2*x + 9. Solve -2*i - k + 2*k - 3 = 0, x*k + 31 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 115001*g + 4. Let d be (2 + 4)\/(3\/(-2)). Let i be a(d). What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 132, 197, 274, 363?\n\"Answer: 6*m**2 + 47*m + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3189\/130 - -250\/13. What is the common denominator of v and -37\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 12) to base 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -140332?\nAnswer: 140340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559057173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((12\/10)\/2)\/((-14)\/(-70)). Let v be j*22*(-28)\/(-8). What is the highest common factor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*w + 133193 = -87248, -2*w = 3*y - 132265. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*f + 2*o + 24, -5 = o. Suppose f*w = w + 50. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24322, -23805, -23288, -22771?\nAnswer: -22254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/87672 and 43\/4368.\nAnswer: 1227408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4877 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 9*u + 114. Suppose 0 = u*q - 3*q - 576. What is the highest common divisor of 360 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923249244 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -36)*15\/4*-2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -158. Let p be 1*a\/(3 - 5). Is (8*p)\/3 - -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8624 + -58.7?\nAnswer: -57.8376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -548350?\nAnswer: 6580200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:26 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-112)\/48*186\/(-7). Solve -22*z = 70 + d for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313827207?\nAnswer: 3, 104609069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 360 and 504?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -19361.\nAnswer: -2\/19361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177*o**2 - 77*o**2 + 133*o**2)*(-8 - o**2 + 8) + (-2*o + 2*o + o**2)*(4*o**2 + 3*o - 3*o).\nAnswer: 125*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.26 - -1.96. Which is the smallest value? (a) 2\/7 (b) -1\/5 (c) k (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. What is the remainder when 51 is divided by 0 + n + (26 - 1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 smaller than 266\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 98. Let t be x\/((20\/(-15))\/(-4)*-1). Solve -t*j = -9, -3*h = -3*j - 1 + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 207, -3, 7, 9, 2 in descending order.\nAnswer: 207, 9, 7, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(77) - (sqrt(77) + sqrt(77) + 5*1*sqrt(77) - sqrt(77)) - sqrt(77))\/(5*sqrt(539)))**2)*-2.\nAnswer: 1328\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -796 + 805. Let n(i) be the first derivative of 0*i - 32\/3*i**3 - 12*i**4 + j - 24\/5*i**5 - 2\/3*i**6 + 0*i**2. Find h, given that n(h) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 694*g**2 + 1.\nAnswer: -694*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 19 = -21. Calculate the remainder when 14 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 5*y**2 + 5*y. Let t be a(-4). Let g = t + 6. Let s be (g\/(-3))\/(1\/(-3)). Solve -q + 3 = -s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6212834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 68802706 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t + 18. Let o(u) = -u**2 - 4*u - 1. Let i be o(t). Let h be -2 + (-1 - (i + -2)). Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(27\/4)\/a*a)\/(a**(4\/19)\/a)*(a*a\/(a*a**(-9\/4))*a)**(2\/19) assuming a is positive.\nAnswer: a**(683\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -p + 19. Let v = 124 - 68. Suppose 61*t - 50 = v*t. Calculate the remainder when p is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -32. Let g be (y\/3)\/(1 - (-16)\/(-12)). Solve -g*s - s + 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155386196 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.15 + -1.25. Let u = 3 + -3.3. Let t = -0.2 + u. What is the nearest to k in -0.2, -3, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(14\/(-6) + 2). Let h = a + 48. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/19)*q)\/(q\/(q*q**5\/q)))\/(q*q\/q**(-1))**(-41)*(q**(2\/3)*q)**(-6\/25)*q**4*q**(1\/9) assuming q is positive.\nAnswer: q**(112523\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -5, 2\/13, -51, -1, 0.5, -33.906?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 4, 1\/7, 0.35?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**4 + 93*k - 374 with respect to k.\nAnswer: -8*k**3 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -7*w + w**3 + 107\/20*w**5 + 0*w**4 + 4 + 0*w**2. What is the second derivative of q(b) wrt b?\nAnswer: 642*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-44)*40\/(-45)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from pgglggzpgggyzgypg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1994 - -1993. Which is the third biggest value? (a) 3 (b) 105 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233150 - -52210?\nAnswer: 325400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/17 (b) -5 (c) 3\/65 (d) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - -28 - (1 + 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 95183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b + 0*b - 2)*(-9 + 8 + 29)*(b - b + 5*b**3).\nAnswer: 280*b**4 - 280*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306524862*j**3 - 69*j**2 - 1038238*j + 1?\nAnswer: -1839149172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.97 - -0.03. Suppose -4*a + 3*s = 8, -3*a + 2*s - 1 - 5 = 0. Put 2\/7, a, r in decreasing order.\nAnswer: r, 2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-5) - (-15)\/25. Suppose 0 = -n*c - c + t + 1112, 3*c = -2*t + 845. Suppose 24 = -5*q + c. What are the prime factors of q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**2 + 4. Let u(c) be the third derivative of -7*c**4\/12 - 59*c**2 + 2*c. Give u(s(b)).\nAnswer: 154*b**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11493, 22990, 34487, 45984, 57481, 68978?\n\"Answer: 11497*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43303933 to the nearest integer?\nAnswer: 6581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*l + 2, -5*b = 5*l - 1 - 39. Suppose -1 = h + b. Suppose -2*m + 0 = 3*g - 3, 4*m = -4*g + 8. Sort h, g, -3 in ascending order.\nAnswer: h, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -30. Calculate the lowest common multiple of (63\/(-15) - -4) + o\/(-5) and 51.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3361 and 4.\nAnswer: 13444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**3 - 18*r**2 + 5*r - 4. Let n(f) = 4*f**3 - 9*f**2 + 2*f - 1. What is 5*n(o) - 2*s(o)?\nAnswer: 2*o**3 - 9*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -1003, -1010?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -169.3, 2, -0.06.\nAnswer: -169.3, -0.06, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.84 + 14.25. Round z to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2249, 2270, 2301, 2336, 2369?\nAnswer: 2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + -a19?\nAnswer: -a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 2*g, 2*g = -4*y - 6 - 0. Let v = -0.51 - -3.51. Which is the third biggest value? (a) 5 (b) g (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 10*k**2 + 11*k + 2. Let h be b(11). Let 2*t**4 + 91*t**2 + 8*t**3 + 89*t**h - 172*t**2 = 0. What is t?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362582558 is divided by 536?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -14*t - 6*t - 82 + 41*t - 13*t - 14*t. Let u be l(-15). Solve -3*y + 3 = 4*r, -2*r + 10 + u = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1495*v**3 + 4493*v**3 - 1997 + 26*v**4 - 1501*v**3 - 1497*v**3 + 47*v**2 wrt v.\nAnswer: 104*v**3 + 94*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u + 1079 - 538 + 0*u - 541. Let g(k) = -4*k**2 + 41. Give g(z(d)).\nAnswer: -144*d**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by -128\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or -24332\/251?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1272 and -0.264243.\nAnswer: -1272.264243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8107 - 155*h**3 + 4050 - 18*h**3 + 4054.\nAnswer: -173*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7917*w**3 + 9*w**4 + 7552*w**3 + 4*w**4 + (-5*w + 5*w - w)*(-2*w**3 - 2*w + 2*w) - 4*w**4 + 4*w**4 - w**4 - 2*w**4 + w**4 + 2*w**4.\nAnswer: 15*w**4 - 365*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 422 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.26 + -6.27. Let p = k + 2.21. Let w = 0.2 - -3.8. Which is the closest to -1? (a) p (b) w (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/4 - -4)*66. Let n = w + -8. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 4*t**2 - 3*t + 3. Calculate i(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -110012?\nAnswer: -110013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58138, 58188, 58276, 58402, 58566, 58768, 59008?\n\"Answer: 19*p**2 - 7*p + 58126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35333\/6 - -5875. Let n(u) = -u**2 + 19*u - 14. Let r be n(18). What is the common denominator of q and 1\/r - (6 + (-904)\/160)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * 0.073131.\nAnswer: 0.00658179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -161620 divided by -32324?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (85 - 4)\/(6\/8). Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 - 153. Suppose 0 = 3*x - s + 11. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b93a (base 12) in base 10?\nAnswer: -82558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3700 = n - 4*p - 1668, -4 = -4*p. What is the highest common factor of 136 and n?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 26. Determine a(15).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32311200 + -11322?\nAnswer: -32323122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2633*q**2 - 466*q**3 + 727*q**2 - 2125*q + 867 - 2539*q**2 + 865*q**2 - q**5 + 39*q**4 = 0.\nAnswer: 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -10*v + 9 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/224 and 25\/112?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 3*p - 12. Suppose -4*c = -b + 4*b - p, 0 = b - 5*c + 5. Solve 4 = d, -2*k + 2*d - 6*d + 20 = b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4)*-1) - (0 + sqrt(17))*2.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6329*g**2 - 2 - 6378*g**2.\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**8)**(-1\/27))**(8\/11) assuming u is positive.\nAnswer: u**(16\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1891636545.\nAnswer: 3, 5, 126109103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70877111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6539 is divided by 106?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6*h. Let x(v) be the third derivative of v**6\/120 - 3*v**5\/10 + 5*v**4\/6 - 29*v**3\/3 + v**2 + 35*v. Let o be x(17). Give r(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*a**2 - 6*a**2 + 9*a**2.\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25 and 11.206.\nAnswer: 36.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -171 - -127. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -p**4\/12 + 10*p**3\/3 - 15*p**2\/2 + 21*p. Let f be s(19). Let d(u) = u**2 - u + 1. Give d(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1540542, 1540540, 1540538, 1540536, 1540534?\n\"Answer: -2*c + 1540544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30094261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 28*q**2 + 41*q - 141. Let o be i(15). What is the greatest common divisor of 296 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 191888.648468 + 117\nAnswer: 192005.648468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*t**2 + 5*t**3 - 485*t**2 - 366*t**2 - 272*t**2 + 2*t - 7*t**3 to the form h*t**2 + n*t**3 + x*t + f and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*16\/(64\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 16*x**2 + 1. Let s(h) = 31*h**2 + 2. Let g(j) = -2*s(j) + 5*y(j). Suppose 2 = 4*b + 3*i, b - 3*i + 259 = 252. What is g(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 14337 = 265*o - 263*o, 3*o + 3*r = 21513. List the prime factors of o.\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-357)\/14)\/3)\/((-1)\/52). Let x = 2461 - o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p - 27 + 127. Suppose -5*h = p*b - 3880, 2*h - 2484 = 3*b - 937. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*v = 24. Solve v*t + q = -0 + 1, 16 = t - 5*q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*d + 2*l + 6, 0 = 4*l + 12. Let k = -3.3 - -3.24. Let f = k - 0.24. Which is the second smallest value? (a) d (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90007692529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let l(v) = 66671*v**2 + 2*v + 2. Give l(y(z)).\nAnswer: 66671*z**4 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/25 - (-28)\/5. Suppose y - x*y = 2*b - 32, -4*y - b = -30. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 2*h**2 - 2*h**2)*(-6*h**2 + 2*h**2 + h**2) + h**2 + h**5 - h**2 + 2*h**5 - 3*h + 3*h - 3*h**5 + 4*h**5 - 3*h**5 - h**5 - h**3 + h**3.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6123 and 1102311444?\nAnswer: 6123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 9, 0, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 9*r + 6. Solve 5*f - r*l - 17 = -8, -4*l - 7 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 0. Suppose -2*u = -4*u - d. Let l(i) = -2*i - 3. Let p(o) = 4*o + 7. Determine u*l(y) - 2*p(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.65, 2\/95, 629?\nAnswer: 629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1870, 1868, 1878, 1912, 1982?\n\"Answer: 2*l**3 - 6*l**2 + 2*l + 1872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*l - 162*l + 2576 = 120*l - 497*l for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0 + 10. Solve 0 = -4*z + i*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 1, -2\/3, 3\/4930?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)\/k)\/k)**(1\/23)*k*k\/(k\/(((k\/k**(-2\/13))\/k)\/k))*(((k\/k**1*k*k)\/k)\/k)\/k*k assuming k is positive.\nAnswer: k**(7\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 9*c = -696. Let n = c - -105. Factor -8 + n*u + 6*u**2 + 2 + 16 - 2*u**3.\nAnswer: -2*(u - 5)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*l + 263 + 181, -4*l = -2*b + 296. Let c = -70 + b. Suppose -c = -9*t + 183. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*((sqrt(891) - (1 + sqrt(891)) - sqrt(891)) + sqrt(11) + 1 + (sqrt(44) - sqrt(11))))**2 + 5.\nAnswer: 13485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*b + 1078425 - 256665. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -15. Let p = -259 + 282. Suppose -2*u + 25 = -r*q, q = -2*u + 2*q + p. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((6\/15)\/2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*s**6 + 1160*s**5 + 9*s**2 - s - 4.\nAnswer: 3360*s**3 + 69600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 24. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 12*l**2 - 22*l - 11. Is o(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 92*k**2 + 199*k + 6. Let n(r) = 459*r**2 + 994*r + 33. Let h(b) = -4*n(b) + 22*q(b). Find the second derivative of h(z) wrt z.\nAnswer: 376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.129 milliseconds in microseconds?\nAnswer: 320129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w + 4*w + 0*w + 2)*(3*w**2 - 2*w**2 + w**2).\nAnswer: 36*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -142.9. Let a = 46 + t. What is a rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*a**3 + 63375*a + 641516 + 975*a**2 - 36*a**3 + 731609.\nAnswer: 5*(a + 65)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h. Let l be p(7). Let b = 26 - l. Suppose b*q - 18 - 62 = 0. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 14*b**5\/9 - 94*b**4\/9 + 14*b**3\/3 + 118*b**2\/9 - 56*b\/9 - 8\/3 = 0.\nAnswer: -1, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/(-120) - (-8 + -12)\/60. Let q(c) be the second derivative of w*c**5 + 0 - 1\/24*c**4 + 18*c - 1\/12*c**3 + 1\/4*c**2. Let q(y) = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-36))\/(4\/18)*(106 + (-305361)\/2886)?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80154.44 rounded to the nearest one thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17359 is divided by 328.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -147.881 - 0.119. Let l = o + 262. Let k = -89.8 + l. What is k rounded to zero dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*127930036\nAnswer: 38379010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f**2 + 3*f - 33. Let j(l) = -41*l**2 - 8*l + 101. Let q(u) = -19*b(u) - 6*j(u). Determine q(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*2\/5*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 19 = -1. Suppose 2*r - 8*r + 24 = 0. Do r and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 12*g**2 - 18*g + 16. Is z(14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62630243 and 4097.\nAnswer: 62634340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -719507.\nAnswer: -287802.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 400*v - 403. Let t be g(-14). Let h = t + 9796. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**3 - 25*p**3 - 22*p**3 + 74*p**3 - 20*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2334, 4672, 7010, 9348, 11686, 14024?\n\"Answer: 2338*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -295*u - 2 + 0*u**2 + 2*u**2 + 334*u + 2*u**3 - 5*u**3 as f*u**2 + j*u + o*u**3 + d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 529*i**2 + 51*i + 86. Give n(-2).\nAnswer: 2100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621290 divided by 6?\nAnswer: 270215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 757, 758?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -1425, -3380, -6155, -9750, -14165?\nAnswer: -19400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.77 decades to years.\nAnswer: 497.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 take away 30?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m + 2*c - 48 = 0, 2*m + 5*c + 467 = 459 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -406 + 299. Which is greater: 7 or h?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 12 = j + 5*p, -31 = -j + 5*p. What is the remainder when 75 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - r - 1. Let q(f) = f. Calculate -b(p) - 3*q(p).\nAnswer: -3*p**3 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39597)\/3546 - (1\/1 - 11)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(8) - sqrt(9)\/sqrt(3)*-6)**2*-4.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 2*m - 6. Let c be z(-4). Let y = -18 - c. Calculate the greatest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-934 - 16\/2)\/(-1).\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c**(5\/6))**(-5\/11)*((c*(c*c\/c**(-3\/7)*c)\/c)\/((c**5*c)\/c*c))**(-2\/139) assuming c is positive.\nAnswer: c**(5081\/5838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/80018 and 45\/560126.\nAnswer: 560126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 3, z: 4, l: 2, o: 1}. What is prob of picking 2 z?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 - y - 2. Let x be u(2). Suppose x = 2*k - 2. Let f = 37 + k. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + 105*w**3 - w - 3 - 2*w**2 - 51*w**3 - 38*w**3 to n*w + f*w**3 + t*w**2 + c and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3225 + 3264. Solve -54 = 30*y - r*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16335211.\nAnswer: 2437, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 13*n - 12. Let d be i(-1). Suppose -r + 24 = -4*g, 0 = 4*g + g + 25. Put 3, d, r, 2 in decreasing order.\nAnswer: r, 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-14)\/(-21) + 0)\/((-4)\/(-2010))?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9 + (530 - 0) - -4. Calculate the greatest common factor of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 3*t, 2*t + 0 = z + 2. Let m be 9 + (5 - (z + 8)). Calculate the greatest common factor of 25 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/3, 8, -1\/4 in increasing order.\nAnswer: -1\/4, 7\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-6) - 8\/(-12). Let x = 1 - 1. Suppose x = -3*u + 4 + 2, -4*u - 12 = -s. Solve g*b - 12 = 13, -s = 5*j - b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 4 = 5*u, -2*u - 38 = -5*x. Solve -8*r = -x - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 928914 or 928893?\nAnswer: 928893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0254984 - -978.\nAnswer: 977.9745016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26215979.9999853 + 26215966. Let m = b + 14. Round m to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0 + 1 - -1). Suppose m = 2*l - 4, -4*l + 1 = -4*u - 3. Is 13 a factor of 0\/2 + (u - -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43837 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/126*(6 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 443835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217258 is divided by 540?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 18*s = 720. What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298 + -163. Let o = h - 87. Suppose 4*f - 64 = o. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**3 - 4*k**2 - 11*k. Let r(l) = -5*l**3 + 4*l**2 + 10*l. Let h(j) = 5*r(j) + 4*z(j). Determine h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101010000100010 - 101000?\nAnswer: 1111101001111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 3*j. Is -6\/11 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 - 346*o - 180. Give x(-70).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96 (base 12) to base 16.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:03 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17*12*102\/408. Calculate the highest common factor of 51 and y.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3324 divided by 117?\nAnswer: 1108\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42077885 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-21 + (2 + 5 - (-39 - -54)))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-23\/5)\/y**(-35))**7)**(2\/99) assuming y is positive.\nAnswer: y**(2128\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72, -141, -210, -279, -348?\n\"Answer: -69*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*v + 121 = 0, -5*n - v + 501 = -93. What are the prime factors of n?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, -9, 706 in descending order.\nAnswer: 706, 4, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 3:14 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 16) in base 8?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 8587831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6168539*s**2 - 10350808*s wrt s.\nAnswer: 12337078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 + 6*a - 2. Let k be o(4). Let s = 25 - k. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012101 (base 3) to base 16.\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-85))\/(2*-2*(-19)\/(-380)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26520*0.1.\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12267 is divided by 1225?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - -2*(-33)\/(-6)) + -4. Let a be (8\/(-3) - -2)*-24. Suppose 2*x - 4*x + 3*u + a = 0, 22 = 5*x - 3*u. Put 0, c, x in increasing order.\nAnswer: 0, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yccccycyyccy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2 + 41*x + 41. Let z be m(-6). Solve z - 7 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = y + i, -94 = -4*y + 2*i - 0*i. Let s = 65 - y. 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: What is the third smallest value in -0.348, -5, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 745599576 a multiple of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*a - 2*r, 2*r = -2*a - 2*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*y + 0)*(2*y**4 + 0*y**4 + 0*y**4) - 12*y**5 - 16*y**4 + 16*y**4.\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 11*a**2 + 11*a + 15. Let s be 2\/(22\/(-12) + 2). Let k be v(s). What is the second derivative of -k*z + 11 + 12 - 7*z**3 - 23 wrt z?\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -y + 14. Let g be 0*(2 - (6 + -3)). Suppose g = -5*r - 4*n + 309, r + n + 3*n - 49 = 0. What is the greatest common factor of y and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5496\/(-1145)*30\/12\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 126\/(-15) - 12\/20. Let m be -2 + (9 + 1 - (9 + f)). Let q = -10\/17 - -98\/51. Is q equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 0.01 (c) -0.5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/20 + w**4\/3 + w**3\/3 + 3*w**2 + 2*w. List the prime factors of d(4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -4?\nAnswer: -4.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 30. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001010101011100 (base 2) in base 16?\nAnswer: -2155c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 0 + 13 = 0. Is 10 a factor of (1 - g) + 12*78\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66229607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 630184 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222972.\nAnswer: 2, 3, 17, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16762562 is divided by 377?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13940657 is divided by 341.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 593, -5 in ascending order.\nAnswer: -5, 0, 593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**2 - l. Calculate s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1693913549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790605 is divided by 827.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3105*z + 4. Let n(j) = 15522*j - 22. Calculate 2*n(t) + 11*s(t).\nAnswer: -3111*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -41652, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhkmkmmmohkddm. Give prob of sequence mmo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + 12. Let i(w) = w**2 - 3*w. Let m be i(l). Suppose 0 = -k + m + 6. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150.6 + -70. Let u = -81 + q. What is the smallest value in -3\/2, 5, u, -2\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.000026 - -34. What is m rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3427 + 4747*p - 10687 - 12976*p wrt p.\nAnswer: -8229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4449 - 4383) + -12 + -1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 273781615 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/(38\/(-629185)). Suppose 18*z - 145 - q = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 minus -172849279384?\nAnswer: 172849279338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -115, 2 in descending order.\nAnswer: 2, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-720)\/450 + (-2941)\/(-85)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*t + 1512, -3*t - 1218 = t - 2*o. Let n = 3335\/11 + t. Sort n, 1, -0.5.\nAnswer: -0.5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/28)\/(34\/(-8)*6). Let b = 6\/17 - i. What is the closest to -2 in -5, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -312 + 327. Let w = c - -306. What is the remainder when w is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/75 and -23\/700?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445514369.\nAnswer: 3, 13, 17, 211, 10333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -10*y - 3. Let n be 6\/2*2\/2. Suppose 11 - 2 = n*m. Solve y = -2*a + m + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 17*j + 3\/8*j**2 - 25\/24*j**3 + 7\/6*j**4 + 1 - 1\/5*j**5. Solve g(p) = 0 for p.\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929259.1 years in months?\nAnswer: 11151109.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4211 - -4341. Put -0.4, y, 2, 4 in increasing order.\nAnswer: -0.4, 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - g - 3059 = 0, 6*k - 5*g - 4599 = 3*k. What are the prime factors of k?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*b**2 - 3 + 0 + 11 wrt b.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 551 and 145696.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1422 times 0.7\nAnswer: -995.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 + 75. Let j(c) = -16*c + 2. What is the remainder when j(-2) is divided by (-16)\/m - (4 + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 45 - 107 + 28 + 31 - 23*b. Give z(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*c**2 + 840*c**2 + 111*c**2.\nAnswer: 1247*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -38 * 0.1659563\nAnswer: -6.3063394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:02 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 127123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 223612*m*v**2 + 14*m*v - m - 24288488*v**2 wrt m.\nAnswer: 223612*v**2 + 14*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15151 + 15360. Solve 213*v - d*v = -24 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/15 - (2 - 3\/3). What is the second biggest value in -5, 1\/5, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 216631384 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in 3\/2, 2\/35, 84, -4?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109834922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 506*z**2 - 19*z + 57. What is the thousands digit of p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 - 17626*r - 70477. Calculate f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 2463907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m**2 - 2. Is n(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -15 - (1 - (9 + 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -315794224360*n**3 - 8210650544184*n**2 - 92407122*n\/5 - 52\/5 = 0.\nAnswer: -26, -1\/888530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 229 + -231. Let s be (-4)\/a*(-4)\/4*-5. Calculate the greatest common factor of s and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -11. Let z(f) = -f - 4. Let k be z(w). Suppose 2*d = 4*a + 2, -5*a = d - k*d + 3. Calculate the least common multiple of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7258 - -0.5258. What is the second biggest value in h, 2\/5, 176?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, 5, -3 in decreasing order.\nAnswer: 5, 1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1 + 0 + 1. Let y(w) = w**3 + 3*w**2 + w + 3. Suppose -2*a - 6 = -0*a. Let s be y(a). Solve s = -n*q + 4*r - 4 + 3, -6 = 3*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/25 + (-3)\/(-15). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 6*g - 1. Let z be o(-8). Let y = 20 + z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 8*l + 5*q = -17693, 5*l - 44243 = 2*q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177854 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(0*f**2 + 3*f**2 - 5*f**2) + 4 + f**2 - 4 - 97*f**2 - 32*f**2 - 51*f**2.\nAnswer: -173*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*(2 + sqrt(2736)) + 4 + -5*(sqrt(2736) + sqrt(2736) + 2 + -3))**2.\nAnswer: -2640*sqrt(19) + 331156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31386338 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o + 1. Let i(q) = q. Let a(m) = 276 + 252 - 529. What is o*a(r) - 2*i(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -1\/10*m**5 + 0*m**4 + 0*m**3 + 0*m + 0 - 8*m**2. Let l(v) be the second derivative of v**3\/3 - 2*v. Calculate l(a(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 2 + 2)*(-2*d + 4 - 4)*(-d**2 - 2*d**2 + 5*d**2) + (-4*d - 3*d + 5*d)*(5*d**4 - 2*d**4 - 4*d**4).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-5)*(43 - 28). Suppose r = i + 29. Put 0.5, -1, i, -2 in decreasing order.\nAnswer: i, 0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573657 - 1572491 = -22*a for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*s + 6, 0*f - 5*f - 5*s - 5 = 0. Solve -2*w = -5*y + 6*y + 2, -w = f*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 4. Let g = -80 - -112. Suppose c = -5*j - 4, g - 12 = j - 5*c. Give t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4155 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**3 - 14*h**2 - 4*h - 6*h**3 + 11*h**2 - 2. Give q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/2 - 7\/(-42)*50.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 1:27 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(224\/(-105)))\/(235\/(-564))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(sqrt(128) + sqrt(8)))\/sqrt(4) - sqrt(24)\/(sqrt(12) - sqrt(96)\/sqrt(128)))**2 + 2.\nAnswer: 1028\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52602323 is divided by 973.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - h = -5*k + 10, -3*k + 5*h + 29 = 0. Let z(w) = -w**2 + 13*w - 11. Let r be z(12). Suppose -11*s - 21 - r = 0. Put k, 2, s in ascending order.\nAnswer: s, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -14*h - 1. Let n(t) be the first derivative of -7*t**2\/2 + 3. Suppose -41*k + 22 + 183 = 0. Let w(j) = k*n(j) - 2*m(j). Determine w(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114.6 - 105. Let s = j + -11. Let b = s + 6.6. Round b to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*m + 40, 3*r - 116 + 44 = 3*m. Let d be (72\/r)\/(-6) - -1. Determine u, given that -2\/5*u**3 - 6\/5*u - d - 6\/5*u**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 1, 4 in decreasing order.\nAnswer: 4, 1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1077\/8 + -135. Let u = -11 + 7.4. Let j = u + 4. What is the closest to 1 in 0.1, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/3)*b)**(-1\/25)*b**(-3\/4)\/(b*b**5\/b*b))**(-35) assuming b is positive.\nAnswer: b**(14399\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.5 (b) -689 (c) 0 (d) -0.35 (e) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -642 in 4, -2\/5, -7\/18, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3000.12 tonnes?\nAnswer: 3000120000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-91)\/14 + 13\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7206, -1\/5, -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 734 - 740. Which is the second biggest value? (a) 62 (b) g (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*n**4\/3 + 4910*n**3\/3 + 18532*n**2.\nAnswer: 2*n**2*(n + 339)*(7*n + 82)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*n - 164*n - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*h - 35 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-5)\/1)*(-25 - (-25 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 5 (b) -10 (c) 0.1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soyvvvyhyommmo. What is prob of picking 1 s and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 + q. Let d be g(0). Suppose d = -0*i - 4*i - 8. List the prime factors of ((-1)\/i)\/(1\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 10*b**2 + 4*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 263, 730, 1393, 2258, 3331, 4618?\nAnswer: 6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - 2*v)*(v**3 + 0 - 2*v**3 - 1 + (v**2 + v**2 - 5*v**2)*(-3*v - 2*v + 2*v)).\nAnswer: -24*v**4 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 17*w + 38. Suppose 4*y + 4*l = 32, -2*y + 0 = 5*l - 13. Let i be d(y). What is the highest common factor of 203 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 - 13960412*x\/3 - 18613872.\nAnswer: -2*(x + 4)*(x + 6980202)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-110)\/(-11)*(-12)\/8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -114. Suppose 0 = -4*j - 2*i + 23 - 7, 32 = 4*j - z*i. Let t(h) = -4*h**2 + h - 3*h**2 + h**3 - 4 + h**2. Calculate t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(20)\/sqrt(16) + 2) - (1 + sqrt(1125)*2))**2 + 5.\nAnswer: -392*sqrt(5) + 3974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:16 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325991728 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 156 + -110. Let u = -33 + b. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14\/25, 14, -2\/17, 3\/4?\nAnswer: -14\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, y: 1, e: 5, a: 9}. What is prob of sequence ayej?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 42. Let o be q(-23). Let l = -400\/3 - o. What is the nearest to l in 1\/3, 5, 0.03?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/176 + (-186)\/720. Which is the third biggest value? (a) o (b) 0.4 (c) -1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/((-14)\/2))\/((58\/(-580))\/(-1))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 35*o**4 + 23*o**5 - 95*o**4 - 50*o**2 + 15*o**5 - 33*o**5 + 105*o**3 = 0?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4844\/(-20))\/(4\/(-20)). Let o = -26 + 31. Suppose o*k - 14 = w. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2285*a**3 + 1499.\nAnswer: -6855*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2008779 and 7932?\nAnswer: 1983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1917635 or 1\/4?\nAnswer: -1917635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-4)\/(-2)*-1. Suppose -5*o - y = -22, -2*y = -20*o + 18*o + 4. Put o, 3, b, -3 in increasing order.\nAnswer: -3, b, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(9\/5))\/v)*v)\/((v\/(v\/(v**(-2\/5)*v)*v)*v)\/v))**(1\/5) assuming v is positive.\nAnswer: v**(21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 32 = 2*k, k = 2*u - k + 14. Let z be u\/(-6) + 38\/(-20). Let o = -1.4 - 0.6. Put o, z, -1 in decreasing order.\nAnswer: z, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*((-30294)\/2475)\/17?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -103, -211, -367, -577, -847, -1183?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7510474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-26)*(-44)\/132.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.1249mg in kilograms?\nAnswer: 0.0007601249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 17\/39 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-12)\/16 + 1). Let q be ((-1806)\/d)\/7 + -2 + 2. Which is greater: q or 32?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2664115 (base 7) to base 4.\nAnswer: 1111323223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2572544325 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w + 100 + 71 = 299 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 - 4*g - 4. Let u(i) = -5 - 5*i + 275*i**2 - 549*i**2 + 277*i**2. What is -5*c(t) + 4*u(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.353225nm to micrometers.\nAnswer: 0.003353225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 15 = -5*w, -k - 3*k + 2*w - 14 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7251.744 minutes?\nAnswer: 435104640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**2 - g**3 - 46*g**2 + 27*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 + 0*j**4 - 4*j**2 - 2*j**4 - 62806*j + 62807*j in the form t*j**4 + b*j**3 + m*j + i + v*j**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-21)\/28)\/((-6)\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00109959692 rounded to 7 dps?\nAnswer: 0.0010996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1210 + -1112112?\nAnswer: -1110302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14443.52 tonnes to grams.\nAnswer: 14443520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*f = 0, -4*f + 15 = -5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -35, 0 = c - 46*y + 50*y - 448. Let g(v) = v**3 + 15*v**2 + 5*v - 6. Let x be g(-14). What is the highest common divisor of c and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10080005 = 3*f, -f + a = -2*a + 3359997. Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 3*x**2 - 4*x**2)*(-1 + 1 - 2*x**3).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -919, -1510, -2101, -2692, -3283?\n\"Answer: -591*x - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 489 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + 17. Let b = -10541 - -10621. Let h = x - b. Calculate the remainder when 172 is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmummmu.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2\/4 - 14*g + 147\/4 = 0.\nAnswer: -21, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 + 155. Which is the second biggest value? (a) r (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 23*g + 1925. Let x = 890 - g. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4588 by 37.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k - 66*k + 39 = 0. Is -8 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -71?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 19. Suppose 43 = -3*j - 5*o, 5*j + 9 - 4 = 5*o. Let s be l(j). Let k(r) = -r**3 - 6*r**2 + 9*r + 9. Determine k(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 32. Let t be k(-10). Find the first derivative of 6*g**2 + 8 - 9*g**t + 6*g**4 + 4*g**2 + 30 wrt g.\nAnswer: 24*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38092?\nAnswer: 2, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 85\/102*4\/(-10). Let w = -41\/124 - -18\/31. Suppose 0 = 16*g - 13*g. Which is the closest to 10? (a) y (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208172109 times 0.4\nAnswer: -83268843.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 221251*n**2 + 8*n + 12. Let s be t(-4). Suppose -2*j = -3*d + 2*d + 3539998, -2*j - s = -2*d. What is j rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302312000 (base 4) in base 11?\nAnswer: -132514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 9:09 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 0.09 (b) -161\/4 (c) -16 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7\/5 (b) 1\/4 (c) -725\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81824, -140733, -199642, -258551, -317460, -376369?\nAnswer: -435278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*336\/(-64))\/((-5)\/60*9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 5*g**2 + 2*g + 7. Let r be v(-5). Suppose z + 936 = 932. Sort 1, r, z.\nAnswer: z, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppnppppqppp. Give prob of sequence pnq.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**3\/3 - 25*c**2\/2 + 13*c + 55. Suppose q(k) = 0. Calculate k.\nAnswer: -13, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492 (base 11) to base 2\nAnswer: -1001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3*sqrt(242))**2 - (sqrt(64)\/sqrt(8))**2 - (sqrt(24)\/((sqrt(12)*-2 + sqrt(12))*5) + 1)).\nAnswer: sqrt(2)\/5 + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 19. Let x be (54\/(-4) - 18\/(-12)) + 0. Does 13 divide p(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/30)\/(16\/70)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357664 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*c**3 + 10784*c**2 + 930*c - 54 wrt c?\nAnswer: -558*c + 21568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4315, 8549, 12773, 16981, 21167, 25325?\nAnswer: 29449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -459 - -836. List the prime factors of n.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 10:46 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 291, 287, 279, 267, 251, 231?\n\"Answer: -2*r**2 + 2*r + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**3 - 5*n**2 - 93*n + 238. Does 62 divide i(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c + c)*(-263 - 229 + 379)*(1 - 2 + 2).\nAnswer: -226*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/36)\/((-105)\/(-224))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 + -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-38)\/8)\/(1\/(-20)). Suppose p - k = 6. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a + 2 = 0, -2*a + 2 = 2*b. Solve -b*o + 4 = -7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/33 - (-48)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10063*h**2 - 1298126*h + 135. Calculate n(-129).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24487479 divided by 207\nAnswer: -118297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -69, -3, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38823 to 2 dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 14 - 2*u + 3*u + u - 3*u. Let x be d(0). Calculate the greatest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3009*q**3 + 1504*q**3 + 15 + 3*q**2 + q**4 + 1507*q**3 as o*q**3 + b*q**2 + p + f*q + a*q**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(3\/2))*r**(3\/7))\/(r*r\/(r**(-2\/5)*r)*r*r**(-3\/5)*r) assuming r is positive.\nAnswer: r**(-61\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Let j(k) = 1162*k - 17. Let l(b) = 383*b - 6. Let t(f) = -6*j(f) + 17*l(f). Calculate d(t(y)).\nAnswer: -212521*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 2, d: 4, f: 3, k: 1, e: 4}. What is prob of sequence rf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25.95 and 10.\nAnswer: 35.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/14)\/(2\/28). Let l(x) = -x. Let v be l(-7). Let j = s - v. Solve -w + 5*i - 40 = 4*w, j*w - 3*i = -30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85a (base 12) in base 3?\nAnswer: -1200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404 and 4242.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**2 - 848440*t - 35992521680 = 0. What is t?\nAnswer: -84844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 428565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 - c**3 + 2*c**3)*(-3*c - 15*c + 0*c)*(1 + 11 + 7).\nAnswer: 342*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836837428.\nAnswer: 2, 7, 23, 1299437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 21\/4 (c) -1\/2 (d) -2\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -13*s**5\/30 + s**4\/12 - s**2 - 17. What is the second derivative of r(w) wrt w?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*q - 60 - 50*q - 24*q - 29*q - 8*q**2 = 0. Calculate q.\nAnswer: -15\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 2, c: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -433*n - 1343. What is the remainder when r(-4) is divided by 112?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - (-13 - (-41 - -20))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - g + 4. Let h be z(0). Let k be h\/12 - 10\/66. Let s be (2\/3 + 0)*-3. Which is the second smallest value? (a) 4 (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*(-19 + (-3255)\/(-168))*(3 + 13\/(-3)). Let a(g) = -4 + 6*g + 4 - 5. Calculate a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 5. Suppose -r*p = -3*h - 41, -25 = -4*p + 6*h - h. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -116*u - 14482. Determine m(-125).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3))**(-35)\/(y**(-12)\/(y\/y**(4\/11))) assuming y is positive.\nAnswer: y**(1294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 384 and 960.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 8274084*i + 5705038836588.\nAnswer: 3*(i - 1379014)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*f + 253*f + 96*f = 8520. Let n be ((-1)\/(2\/(-16)))\/1. Solve f = 5*b, 4*b = 3*v - n*v + 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 26 = -5*l, 3*q - 6*l + l = 29 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 19112.\nAnswer: -5\/19112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + p = 109, -q + 64 = 3*p + 22. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 9. Let f be l(-9). Let g(u) = -u + 10. Let b be g(7). Suppose 15 = b*c - 6*c. Sort 3, c, f in increasing order.\nAnswer: c, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 2*i - 1. Determine t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -277 - -269. Let m be (7 + 1)*-1 - i. Solve m = 6*g - 23 - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -8 (b) 0.19 (c) -13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -3. Let u = -5 + r. Let a(w) = 5 - 4 + w**2 - u. Let p(v) = 4*v**2. Calculate a(p(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1220293224.5 + -1223156253.49934. Let t = -2863061 - r. Let g = t + 32. What is g 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 thousands digit of 296158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26\/9 (b) -2 (c) 11416 (d) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 12*n = -116 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Suppose -51932 = -z*i - 2*i. Let m = -311495\/24 + i. Calculate the common denominator of -53\/12 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.546 + 0.054. Let u = 12.6 - d. Which is the biggest value? (a) u (b) 6 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 1\/75*q**5 + 0*q - 5\/2*q**2 + 0*q**3 + 1\/60*q**4 - 3. Let j(h) be the second derivative of n(h). Factor j(t).\nAnswer: 2*t*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:08 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 5*m + 7. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 43*m - 45. Let a be b(-1). What is the closest to -1 in 3\/242, a, 4?\nAnswer: 3\/242","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15409 + -15400. What is the third biggest value in g, -2\/15, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1 - 12 = 2*w, i - 2*w - 9 = 0. Let r(j) = -j**3 - 3*j**2 - 4*j - 2. Let d be r(-2). Differentiate i - 3 + 0 - d*k with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l - 343 = 36*l + 29*l + 558 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + l)*(-l**3 - 5 + 5) + 2*l**4 - 863 - 868 + 1733 - 953*l**3.\nAnswer: l**4 - 953*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 540 and -8?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 + 11 = d, 4*x + 2*d + 34*d - 1032 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-23)*f**(-4\/7)*((f*f\/(((f\/(f\/f**(-11)))\/f)\/f))\/f)**(-17\/4) assuming f is positive.\nAnswer: f**(-1163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 254*j**3 - 8*j**2 + 26*j + 32. Give u(-1).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -114, -240, -430, -690?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**22*v*v**(-15\/7)*v\/(v**32\/v*v)*v*v\/v**(19\/4))**(2\/61) assuming v is positive.\nAnswer: v**(-361\/854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 11*u + 17. Calculate the remainder when 53 is divided by y(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.42*2005\nAnswer: -842.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 24614?\nAnswer: 24562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*r**4*z + 742*r**3*z + 81293*z + 2 with respect to r.\nAnswer: 208*r**3*z + 2226*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 14. Let a be q(9). Suppose 25 = a*n - 2*b, -5*n - 5*b - 10 = -0*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*r + 17 = -6, -4*g - 5*r + 9 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39267455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.87 - -0.13. Which is the closest to -2\/9? (a) 2\/7 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236d5 (base 15) in base 7?\nAnswer: -650141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -0.09152 (c) -6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/9*(-2)\/(-4). Suppose s = 4*i - 0*i. Let d be 11\/(i + (2 - 1)). Solve -d = 2*v - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 5751.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q + 0)*(-3 - 3*q - q + 2*q)*(-117 + 117 + 7*q)*(4 - q**2 - 4).\nAnswer: 14*q**5 + 21*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/(-4) + 3\/(-6). Let t be 2 + (-8)\/(-4) + c. Suppose -h - 44 = -4*g, t*h = 3*h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 458, 453, 448, 443, 438?\n\"Answer: -5*l + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 80333 - -a?\nAnswer: 80340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*o + 22 = c, -c = -3*o + 2. Suppose 4*v + 5009 = 5*j, 2*v - c*v + 3023 = 3*j. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuxt when four letters picked without replacement from tttuutttxxt.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3081\/(-3318)*(-36)\/(-117).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - 135. Let n = i + 166.95. Which is the second smallest value? (a) 0.1 (b) n (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 + 6 = 5*q. Let y be q\/42 + 1\/6. Is 27\/9 + 13\/y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 n when four letters picked without replacement from {n: 9, s: 11}?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - -55. Suppose -9 - u = -z. Suppose 8*f - 3*f = z. What is the remainder when 54 is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j**2 - j + 36. Suppose 0*v = 2*v. What are the prime factors of i(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - ((-4)\/(-26) + (-72)\/(-39)). Suppose 42*m + 11164 - 50056 = v. What are the prime factors of m?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107 - 42343.\nAnswer: -42236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a**3 + 33*a + 33. Let p be 27\/12 + (-15)\/(-20). Let y(i) = -5*i + 3*i - 2 + i**p - 4*i + 4*i. Calculate -2*f(j) - 33*y(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 148570 from 17.6205.\nAnswer: -148552.3795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 21 = -5*b. Let f(o) = 12*o**2 - 10. Let y(r) = -r**2 + 1. Let n be 2*(1 + 6\/(-12)). Let v(w) = b*y(w) + n*f(w). Let t(a) = -3*a. What is t(v(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/144 and -13\/6822?\nAnswer: 54576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4920 less than 400?\nAnswer: -4520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/(l\/(l\/((l**(7\/4)*l*l*l)\/l)))*l))\/((l**(-6)\/l)\/l))**(-11\/4))**19)**(-42) assuming l is positive.\nAnswer: l**(171171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -61. Let w = h + -18.8. Let q be (-2)\/70 - 3\/(-7). What is the closest to w in q, 3, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195156 and 546?\nAnswer: 1366092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1380.\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 198225427 to the power of 1\/2, to the nearest integer?\nAnswer: 14079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*t**2 + 442*t**2 - 159*t**2 - 159*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2\/(-3))*(-22)\/88?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.773 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3 + 105920*v**2 - 682286900*v - 251947115000 = 0.\nAnswer: -350, 13415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.9217 - 1.2\nAnswer: -3.1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Let v be x(-1). Let b(h) = -h**2 - 6*h - 7. Let d(o) = 2*o**2 + 13*o + 14. Let z(y) = -13*b(y) - 6*d(y). Is z(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*k = 2*k + 338, 2*k - 344 = 4*z. Let s = 55 - z. What are the prime factors of s?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 2)*(5 - 3 - 4)*(-34*x + 13*x - 49*x) in the form w + g*x and give g.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tftd when four letters picked without replacement from ttdtotootttf.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - -0.1474?\nAnswer: 89.1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y**2 + 4*y - 2. Let m be t(4). Let q = m - 45. What are the prime factors of q?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548355397.\nAnswer: 23, 23841539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*h - 85*b + 122*h wrt h?\nAnswer: -b + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19510*u + 9754*u + 9761*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12186 and 144.\nAnswer: 97488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.8. Let g = -18.47 - -18.37. Let i = q + g. Which is the closest to -2\/7? (a) 3\/2 (b) 19 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.3 + -55. What is the fourth biggest value in f, 0.2, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035295866 rounded to 6 decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let w be x(-2). Suppose -v - 11 = w*z, 0 = 5*v - 2*v + 2*z + 13. Suppose 28 = 22*h + 28. Sort -1, v, h in decreasing order.\nAnswer: h, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1029 + 104 = 0. Calculate the highest common divisor of 74 and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -11. Suppose m*t + 4*i = 37, -t - 4*i + 1 = -0*i. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 3. Let f = -132 + 152. Calculate the least common multiple of y and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 15) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23544397?\nAnswer: 3467, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3 + 20316*a**2 = 0.\nAnswer: -5079, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -0 - 4. Let j = -411 - -412. What is the highest common divisor of w and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 4*y**2 + y - 133600. Let l be g(0). What is l rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/15 - -1\/5. Sort -0.2, -2\/7, m, -3 in descending order.\nAnswer: m, -0.2, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62600d3 + -a?\nAnswer: 62600c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15779774, 31559556, 47339338, 63119120, 78898902, 94678684?\n\"Answer: 15779782*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*q - 86*q - 63*q + 21*q to the form h + l*q and give l.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6 + 4\/8. Let x(i) be the second derivative of 2*i + 0*i**p + 1\/60*i**5 + 1\/36*i**4 - 1\/90*i**6 - 1\/126*i**7 + 0 + 0*i**3. Factor x(y).\nAnswer: -y**2*(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(5\/9)))\/(h*h*h**(-4\/19)))\/((h\/(h**18\/h))\/h*((h**(-3\/2)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(6551\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(8) + (sqrt(40) - sqrt(160)\/sqrt(4))\/sqrt(5))**2.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 15*t**2 + 95*t - 1327. Calculate y(14).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0566 + -1.711. What is a rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5946772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25752)\/10730*1\/(6\/15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.81364 + -29.18694. Let v = c - -37. Round v to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.041368944 + -27.758468056. Let a = 27.8 + r. Round a to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 2. Let x(d) = -d + 3. Let f be x(0). Let a be v(f). Suppose -w + a = -4*n, 3*w + 2*n = -5 + 24. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36478415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + n - s - 22, 4*n + s - 34 = 0. Suppose 0 = m + n - 44. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-10)\/75)\/((-19)\/(-57)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 202730094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2884339.4*-3.1.\nAnswer: -8941452.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24219 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(180) - sqrt(180) - sqrt(5)) + -5.\nAnswer: -5 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.585 + 0.085. Which is the biggest value? (a) p (b) 1\/2 (c) 0.1 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 4. Let w be g(-1). What is the greatest common factor of 40 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12399878?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 11*p**4\/6 - 13*p**2\/2 - 21*p. Find the first derivative of u(c) wrt c.\nAnswer: 44*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 60042819?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -13. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18678558 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: Find the third derivative of -9325*r**4 + 148*r**3 - 3370603*r**2 wrt r.\nAnswer: -223800*r + 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 740923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 13*t**3 + 60*t + 9647. Let b(c) = 2*c. Determine q(b(y)).\nAnswer: 156*y**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/2*268\/(-6566).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-15)*9\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10699552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 66, 142, 246?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - w - 2*w)*(-3*w**3 + w**3 + 3*w**3) in the form i*w + r*w**4 + f*w**3 + u + j*w**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14375756 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2788\/11, -0.1, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:17 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j - 5*j - 14*j to u*j + s and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + (-59710)\/7)\/(12\/(-24))?\nAnswer: 2, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 5\/3, 0.2 in descending order.\nAnswer: 5\/3, 0.2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - u + 212758 - 212765.\nAnswer: -u - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3768 by -19.\nAnswer: 3768\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 199425359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32.08618 millennia?\nAnswer: 385034.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 4*c + 534, -2*u + 2*c - 71 + 299 = 0. What is the least common multiple of u and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**6\/240 + l**4\/12 - l. Let z(t) be the third derivative of m(t). Let k(u) = -u. Determine k(z(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1513 is divided by 92?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1973, -1114, 323, 2338, 4931, 8102, 11851?\n\"Answer: 289*v**2 - 8*v - 2254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -296, -577, -818, -1019, -1180, -1301, -1382?\n\"Answer: 20*y**2 - 341*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 405077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -36, -69, -102, -129, -144?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -12 - 5*w + 20*w + 9*w. Does 26 divide g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20006 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1771 = -3*u, 5*u + 1421 = 4*p + 4*u. Suppose b - 2*o = -0*o + p, -3*b + 3*o + 1062 = 0. Calculate the greatest common divisor of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/180 and (23 - 22)*(-931)\/(-1680)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 - 1615*a**2 - 675*a**2 - 1151*a**2 + 559*a**2 as b*a**2 + l + i*a and give b.\nAnswer: -2889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656132?\nAnswer: 2, 3, 29, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 8*j**2 - 1. Let z be r(8). Let m be (1*z)\/(10\/(-330)). Calculate the greatest common divisor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5906196 divided by -164061\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q**(-8)*q*(q*q\/(q*(q**(1\/12)\/q)\/q))\/(q\/(q**(3\/10)*q*q)))\/((q**5*q*q**(1\/4))\/(q\/q**2*q\/q**(-2\/7))) assuming q is positive.\nAnswer: q**(-3097\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 40285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 124304*y**3 - 119*y - 209 wrt y.\nAnswer: 745824*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a + 38. Let k(y) = 2*y. Let t(u) = -6*k(u) + 3*s(u). Let p be t(-19). What is v in 2*v**3 - 1\/2*v**4 + v + p - 5\/2*v**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -35, -149, -373, -743?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times -2?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 - -4. Let i = q - -0.2. Let d = -0.1 - -1.1. Which is the closest to -1? (a) d (b) i (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -13*z**2 + 2*z - 429. Let d(o) = 3*o**2 - o + 5. Calculate 5*d(t) + n(t).\nAnswer: 2*t**2 - 3*t - 404","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2039620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278296?\nAnswer: 2, 43, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 468 (base 11) to base 15\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 742907397, 742907400, 742907403?\nAnswer: 742907406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-19))\/(705\/(-232180))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105586353 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -197, -197, -195, -191, -185?\n\"Answer: u**2 - 3*u - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 10. Let w be o(-7). Suppose -2*p = -3*p - w. Let s(i) = i**2 + 3. List the prime factors of s(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*(-36)\/(-39447))\/(52\/6). Let x = 310229\/31655 + i. Calculate the common denominator of x and 38\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwywyyyyyywwyy. Give prob of picking 4 w.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let d(h) = -h**2 + 72625*h. Calculate l(d(m)).\nAnswer: -2*m**2 + 145250*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 83 + -3 + -1 + 8. Suppose 20 = -5*d, 19 = -5*o + 2*d + 67. Calculate the greatest common factor of i and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 247, -837, -5 in descending order.\nAnswer: 247, 3, 2, -5, -837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84*y**3 - 157*y**2 + 85*y**2 + 74*y**2 to x*y**2 + v*y**3 + b*y + z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -512, -1213, -2006, -2885, -3844, -4877, -5978, -7141?\n\"Answer: l**3 - 52*l**2 - 552*l + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 60\/(-18))\/((-5)\/75). Let s(i) = 3*i**2 + 0*i**2 + 5*i**2 + i**3. Let p(n) = -n**3 - 7*n**2. Calculate k*p(m) - 4*s(m).\nAnswer: m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.182 - 0.092. Round u to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/60 - b**4\/8 - 9*b**2. Determine f(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/120 + 13*r**5\/30 + 13*r**4\/12 + 41*r**3\/6 - 8*r**2 + 268. Determine d(27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*c - 36, 2*c - 1005*t + 1009*t - 60 = 0. Let p(q) = 2*q**3 - 2*q**2 - 2*q. Let w be p(3). Solve -c + w = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 12:46 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 35. Let t be k(-30). Let l = -11 - t. Which is greater: -137 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-120) + (-1616)\/(-30) + -2. What is the highest common divisor of 78 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32265 + 5?\nAnswer: 32271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1 + 18*f - 6 - 10 + 4 - 4*f. Give j(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24550\/(-233225) + (-22)\/(-114)*2\/10?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -37. Suppose 2*d - 4*d - n = -4*o, o = d + 3. Suppose -2*k - 4*m = 8, -3*m = -2*m. Sort k, o, -5.\nAnswer: -5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 + 34*b + 37. Give q(11).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -69*u + 3. Give b(2).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u**2 - u. Let j(t) = 11*t**3 + 28*t**2 - 2*t + 327. Let o(n) = j(n) - 3*p(n). Differentiate o(g) with respect to g.\nAnswer: 33*g**2 + 92*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -75*c + 36. Let h be t(-1). Differentiate -18 - 17*m**2 + 37*m**2 - 19*m**3 + 3*m**4 - 20*m**2 - h wrt m.\nAnswer: 12*m**3 - 57*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + a + 2 + 5*a - 2 + (0 + 0 - a)*(-1 - 1 + 4) + 2*a + 2*a - 7*a)*(-6 + 6 - 2*a**4 + a**3) + (-2 + 1 - 1)*(a**5 + 4 - 4).\nAnswer: -8*a**5 + 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*o + 1836 = 127*o. Solve -200*b + 12 = -o*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4086 divided by -454?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*k + 2*k. Let i(z) be the first derivative of -6\/5*z**5 + 0*z**2 + 1 + 0*z - 2\/3*z**3 - 3\/2*z**4 - 1\/3*z**k. Find j, given that i(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 65*u**2. Let h(z) be the third derivative of -z**5\/12 - 131*z**2. What is h(x(s))?\nAnswer: -21125*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2 + 20\/(-8) - 52355\/(-74)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4123.100366 - -135.\nAnswer: 4258.100366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 6.9. Let j = m - 0.2. Let a = 3 + 2. What is the third biggest value in j, -0.2, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3045\/175 - (-15)\/25. Solve -30 = -u*b + 12*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4018588 by -4949.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 3. Let c = b + 22. Let s = -5\/4 - -43\/28. What is the closest to 0 in s, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1960)\/28*146\/4380?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 - 6*5\/(-10). Suppose -3*h + 7 = -g, 0 = -y*g - 3*h - 36 + 3. Let q(n) = -n**2 - 11*n - 14. Calculate q(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/20 - (-12)\/(-15). Suppose 0 = -b - 4*l + 59, 2*b - 7*b - 5*l + 235 = i. List the prime factors of b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 5*x - 28 = 0, -5*t - 4*x - 5 = 0. Suppose -5*c + 13 = -2*i, i - 5*c = -t*i - 21. Sort -5, i, -1 in descending order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 238181, 476363, 714545?\n\"Answer: 238182*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21635*b - 108576*b - 80782*b - 228709*b.\nAnswer: -439702*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10893 is divided by 704.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Let q be 6*b\/(0 + 4). Factor -n**2 + n**q - 6 + 6.\nAnswer: n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:13 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 - 5. Let f = -965 - -964.2. Let y = f + t. What is the closest to 1 in -0.1, y, -4\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18952*d**2*o**6 - 395*d**2*o**3 - 12226*d**2 + 8*d*o**2 + o**2 - 2*o wrt o.\nAnswer: -2274240*d**2*o**3 - 2370*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-750)*-60)\/(211\/5)?\nAnswer: -2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -14*j + 188. Calculate the greatest common divisor of j and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 517 = -2*c, -4*c = 11 + 2 + 12 - 5 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 39 = -q, 5*o + 6 = -9. Let z be 26\/q - (-48)\/(-216). What is the second smallest value in 3, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222\/13 - -483\/26. Which is the closest to -25? (a) 0.3 (b) -0.4 (c) 5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/8)\/((-360)\/(-2592)))\/(((-18)\/(-3))\/30)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 37, 55, 73?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 163, 170, 181, 196, 215, 238?\n\"Answer: 2*l**2 + l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -732 + 497. Let q = x + 224. Which is bigger: 1\/31 or q?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 9. Let f(d) = 2*d - 9. Let a(m) = -4*f(m) + 5*r(m). Let y be a(6). Suppose 0 = 5*o + y - 18. Calculate the remainder when 5 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -44. Let o be 1\/4 + (-19)\/v. Suppose 2*f = o*t + 225 + 39, -f + 132 = -5*t. Is 40 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5 + 7932*h**4 - 110925*h**3 + 578182*h**2 - 1330368*h + 1140192 = 0. Calculate h.\nAnswer: 3, 4, 7918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 2*p + 2346, -b + 0*b + 3*p - 459 = 0. Let w = b + 341. What is the closest to -2\/3 in 1\/4, w, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 140\/11, 0.7, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmdmedjjdmdcsms. Give prob of picking 1 d and 1 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71610 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:11 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*q + 54*q + 51*q - 259*q + 51*q + 48*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-10))\/(6\/(-8)). Let i = -45.34 + 44.34. What is the nearest to i in m, 1\/3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*l - 0*l, 76*l = -2*o - 66*l + 144*l - 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify h**0*h*h*h**(-7)*(h\/(h\/h**2)*h*h)**(3\/32) assuming h is positive.\nAnswer: h**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 3 (c) 368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -152 or 398.2?\nAnswer: 398.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112.53 + -113. Let r = m + 0.97. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 3*c**2 - 2*c**2 + 17*c + 13 - 14 - 12*c. Suppose 12 + 3 = -5*f. Give w(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 i when three letters picked without replacement from ixeqxuue.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5445419l to millilitres.\nAnswer: 544.5419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 42\/14 - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*1)**2*-5.\nAnswer: -9500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153)*1 + -1 + -1 + -2*((sqrt(17) - 3*sqrt(17))**2*4 - sqrt(17) - (sqrt(1088) + -2)))*-3.\nAnswer: -63*sqrt(17) + 1653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, -26843, 0.4, -2?\nAnswer: -26843","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -433?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u - 24. What is k(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627876 to the power of 1\/2, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 4, s: 7, b: 2, q: 2}. What is prob of sequence bfb?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 4) + 4 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + 799. What is the units digit of 0\/((-5)\/(-15)*-3) + b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 15*q. Let r(v) be the third derivative of v**4\/12 - 4*v**2 + 33*v. Calculate p(r(u)).\nAnswer: -4*u**2 + 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4214985.\nAnswer: 3, 5, 487, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and 0.9.\nAnswer: 76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Suppose -5*k - 4*u = -45, 2*u + 2*u = k + 15. Let m be (2\/k)\/((-2)\/(-20)). Let q(g) = -4*g + m*g - g. Calculate z(q(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 - 0.02. Let h(o) = -o**2 + 27*o + 98. Let x be h(30). Let u be ((-15)\/(0 + 5))\/((-228)\/x). Which is the smallest value? (a) 1\/7 (b) y (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011273696 to the power of 1\/3, to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162)*2)**2.\nAnswer: 36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 12*t = -8. Let p be 763125\/t*(-64)\/(-6). Round p to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 16*d + 2. Let k(i) = -i - 1. Let w(v) = a(v) + 5*k(v). Let o(n) = -13*n - 1. Calculate the smallest common multiple of o(-1) and w(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*b - 9348 = 0, -2*b + 14059 = 3*g + 62. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 - 8)) + 0 + (8 - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-2 + -5 - -1) - -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-65)\/(-10) + (-84)\/24. Put 0.9, 12, h in ascending order.\nAnswer: 0.9, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*n + 6*n - 41, 2*n - 75 = -5*u. Let o be 6\/(-39) + 67\/u. Solve s + o = 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7 - 20107*l + 20109*l - 3. Calculate m(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p + 10 + 11*p**2 - 5*p + 0*p - p**3 + 20. Let o be b(8). Is 102 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:09 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 3*l**3 + 0*l)*(0*l**2 + 4*l**2 - 3*l**2).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/4*-4 - 6. Suppose 2*x - 5*l = g*x - 8245, -8245 = -5*x + 3*l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let z = -3 - 0. Put o, z, 3 in descending order.\nAnswer: 3, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264489 or 264481?\nAnswer: 264489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 14*t + 15. Let i(a) = -a**3 - 9*a**2 - 6*a + 3. Let f be i(-8). Let p be d(f). Factor 0 + 1\/3*c**p - 2\/3*c.\nAnswer: c*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(-2\/13)\/i*i)\/i)\/i*i)\/(i**(-6)\/i))\/(i**(1\/4))**(-46) assuming i is positive.\nAnswer: i**(503\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 7*j - 6. Let x(u) = -13*u + 4*u**2 - u + 0*u**2 + 12 + 0*u**2. Let k(i) = 13*a(i) + 6*x(i). Let g = 1 + 3. Give k(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(51)\/(sqrt(30)\/sqrt(10) + sqrt(3)) - sqrt(17)) + 5 - (-2 + sqrt(17))*2*3))**2.\nAnswer: -221*sqrt(17) + 4029\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - -101221102?\nAnswer: 101220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -176, -274, -372, -470?\n\"Answer: -98*c - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 468267*q**3 + 96*q - 96. Is j(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1378, -1475, -1568, -1657, -1742, -1823?\n\"Answer: 2*n**2 - 103*n - 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2272.99 years?\nAnswer: 2.27299","meta":{"dup_signals":{},"source":"measurement__conversion_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: Solve 2631964*o - 2630693*o = 27962 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-5)*m**(-5\/6))\/(m\/(m**(-3\/4)*m)*m*m*m**(2\/31)\/m*m))**(-16) assuming m is positive.\nAnswer: m**(-3500\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (2 + -5)) + 4 + -8 + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -48 - 68 - 302*o + 918*o + 11. Is m(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -1\/8 (c) -2\/23 (d) -0.45 (e) 0.2 (f) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c**3 - 266*c**2 - 46*c + 55. Let w be u(-24). Solve 0 = -5*f - 3*r - w, 28*f - 24*f = 4*r - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 + 0 - (10 - (-31 - -18)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 330712 divided by 268\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*a - 6, a + 10 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4 + (sqrt(76)*1 - sqrt(76)) - sqrt(76))*-5)**2.\nAnswer: -320*sqrt(19) + 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/126 and 29\/33348.\nAnswer: 100044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 130565 = -5*x - 434365. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/11? (a) 0.1478 (b) -2\/19 (c) 1 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/15 - (41147\/(-1035) - -39)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2656 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1510, 1488, 1468, 1450?\n\"Answer: s**2 - 25*s + 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:24 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 28 = -3*i, -2*i = -i + 2*l - 8. What is the highest common divisor of 8 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.859 and 23.\nAnswer: 272.757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41263 + 52471 - 27862 = 3475*y - 100928 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxxxbxbvb. Give prob of picking 1 x and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-4) - (-42)\/(-8). What is the least common multiple of 1 and (4\/b)\/(6\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294396321.\nAnswer: 3, 98132107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0.017 (c) -0.1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 48*b - 77. What is the hundreds digit of y(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*o - 95*o - 329*o + 2074 = -3295 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 1. Let p(s) = 3*s + 5. Let g be -2 + 7 - (-1)\/1. Calculate g*o(v) + p(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10569*l**2 + 84634*l + 649. Calculate j(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = 3*u. Suppose 2*t = -u*t + 5*g - 2, -5*t + 3*g + 4 = 0. Suppose -2*p + 5*l = -80, 3*p + t*p - 227 = -l. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94420\/3 + 31473. Which is the nearest to v? (a) 3\/7 (b) -0.3 (c) -3\/22 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*24\/(-4). Let s = -3 + b. Suppose 2*d = d + s. Solve o - d = -z, 5*z + o - 5 = 2*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*k + 1038, -5*k + 8*v - 12*v + 1066 = 0. Suppose 38*d - 3*d - k = 0. Solve 0 = -4*j - 16, -2*b - 2 - d = j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 33358?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 471.2 (b) 1.3 (c) -0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*i - 592*i**2 - 34*i - 33*i.\nAnswer: -592*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - (193 + -203).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05912 - -0.08975431349?\nAnswer: 0.03063431349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*q = -1681, -5*i - q = 4*q - 2735. Suppose t = 3*u - 7*u + 96, 5*t - i = -2*u. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 60\/(-27) + 111\/(-108).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/22 and -79\/1149236.\nAnswer: 1149236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70597\/759 - -1019\/11. Let d = 1\/23 + y. Sort 3, d, 1\/5 in decreasing order.\nAnswer: 3, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27266*i**2 - 27458*i**2 + i + 54625*i**2 - i.\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/(r**9*r))*r))**(-1\/23))**(-3\/52))**(2\/9) assuming r is positive.\nAnswer: r**(-5\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3 - 12) + -1)*-1 + -5. What is the derivative of -b - 105*b**2 + 9 - 1 - 1 + 8 + m wrt b?\nAnswer: -210*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.04. Let x = 0.04 + d. Which is the closest to 1? (a) x (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**2 - 5*b - 2. Let n be 74\/(-12) - 3\/(-18). Let u(j) = -j**2 - 1. Let g(y) = n*u(y) + v(y). Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 656 - 650. Put f, 1, -4, -1 in descending order.\nAnswer: f, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h**2 - 4*h - 7. What is the tens digit of c(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 2\/5, 7, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 953060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, k: 4, i: 1, r: 2, t: 6, z: 4}. Give prob of sequence ri.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/15 + z**4\/3 + 4*z**2. What is the second derivative of r(w) wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810*h = 3*q - 806*h - 39, 0 = -3*q + 4*h + 63. Solve 9 = -q*u - 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (2 - 5 - -2). Suppose -z*p + 0*p - 15 = 0, 5*i = -3*p - 134. Is -25 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 35*o - 202. Determine m(21).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5047 and -12?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/35 + (-2)\/(-7). Let l(i) = 7*i**2 - 3*i. What is the units digit of l(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/8 and -109\/1274628.\nAnswer: 2549256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*r. Let v be (2\/(-4) - r)*-8. Suppose -v*t = 4*f - 116, 3 = 2*t - 3. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.14 - 0.02936.\nAnswer: 2.11064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -2\/3, 2\/7, -34, -27, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143185 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*t + 6796, -46*t + 50*t - 6796 = 3*r. What is the remainder when t is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20648 and 108344?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5199 = 7*y - 9*y, 2*v = 2*y + 2088. Is v a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29611 or -20247?\nAnswer: -29611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 57*j - 201. Calculate x(52).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-345)\/(-23) + (-365392)\/24360. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -203004?\nAnswer: -203014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bllb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - b - 3*b + (b - 2 + 2)*(-1 + 4 - 4) + (2*b - 4*b - 3*b)*(286 + 381 - 532) as j + v*b and give v.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - 5) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.30847 - -0.518413. Let j = y + -0.21. What is j rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/28)\/(1\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1\/(-3))*-3. Let w(v) = -v - 12. Let t be w(-12). Is x less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.2 + -15.3. Which is smaller: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110.87*0.2.\nAnswer: -22.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2182 - 609 = 714*d - 569. Suppose 5408*i + 2\/3*i**d - 281216\/3 - 104*i**2 = 0. Calculate i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {i: 1, m: 2, w: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8797*l**2 - 4506 wrt l.\nAnswer: 17594*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*y - 14 = 0, 7 = 2*f - 5*y + 18. Suppose 570*s = -2361*s - 5862. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280786 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 863\/4 in 23, 0.03, 0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/174533 - -6806795\/698132. Factor i - 3\/8*j**2 + 75\/8*j.\nAnswer: -3*(j - 26)*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3989, 10026, 16071, 22124, 28185?\nAnswer: 34254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24502 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11567 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 89695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let z(t) be the first derivative of -t**2 - 5*t - 1. Let v be z(-5). Calculate the remainder when 14 is divided by g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (-6)\/(-60)*(-274)\/8 and 67\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 + 7 + -2 + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 508225979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2022\/445 + 440\/89. Factor 0 + 0*g + k*g**3 + 1\/5*g**4 - 3\/5*g**2.\nAnswer: g**2*(g - 1)*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 - -145. Calculate the remainder when 159 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*r**2 - 4*r - 180 wrt r.\nAnswer: 86*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605470.2 rounded to the nearest one thousand?\nAnswer: 2605000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2, -3, 0.0462 in decreasing order.\nAnswer: 0.0462, -3\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -24 (b) 0.17 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/26180 and -93\/280.\nAnswer: 52360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -978 - -6.56?\nAnswer: -971.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 252017585*q**3*u - 9835211*q**3 + 3*q**2 wrt u?\nAnswer: 252017585*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 359.4553 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 703690*k**5 + 718972*k wrt k?\nAnswer: 14073800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -24. What is the units digit of 2\/6*15 + l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1153\/4612*(-316)\/1.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 2, j: 1, b: 1, a: 1}. Give prob of sequence ht.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374420 is divided by 183?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54320 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-4*w + 0*w + 2*w) + (10 - 1 - 3)*(-w - 3*w + 2*w) - 5 - w + 5.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -759 - -758.8. What is the third biggest value in 0, 1, -2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {k: 4, l: 1, i: 1, f: 9}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1043*c**5 - 366*c - 3?\nAnswer: -20860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/2 - 16351\/(-415). Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -5\/4, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*-2*sqrt(102))\/(-4*(sqrt(24) + sqrt(6)) + sqrt(48)\/(sqrt(24)\/sqrt(3))).\nAnswer: 48*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + 10\/4. Let i be -7*(-4)\/28*b. Suppose 0 = -3*n + i*n + 60. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 12. Let o be q(-13). Let z = o + 4. Let n(m) = m**2 + 8*m - 9. Let u be n(-9). Put u, -4, z in increasing order.\nAnswer: -4, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0 + 6*y - 16*y**2 - 5\/2*y**4 + 23\/2*y**3 = 0.\nAnswer: 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -106*q - 1124. Give t(-10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kiikmaikmohiaokii. What is prob of sequence mo?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22 + ((-5 - 13) + -29 - -12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*n - 476*n + 1445*n - 319*n - 320*n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 44 = -3*o, w - 2*o = -w - 64. Let v = w + 23. Which is bigger: -8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*a = 20, 3*x = -x - 5*a + 2. Solve x*v + 3 = -12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 2*p + p + 2 - 2 - p + (-3*p + 3*p + p)*(-3 + 5 - 4) - 2*p - 4*p + 3*p - 4*p + 3*p - p + 3*p - 2*p + p to j*p + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 44*h + 45. Let m be i(-10). Let q(u) be the first derivative of 11\/5*u**3 + 21\/25*u**m + 3\/5*u**2 + 12\/5*u**4 - 17 + 0*u. Factor q(l).\nAnswer: 3*l*(l + 1)**2*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 8*t = -5*a - 125, 4*t = -2*a + 158. Suppose -2*q - t = -10*q. What is the highest common divisor of 135 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from {k: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/45 - (2\/(-3))\/(25\/(-15)). Solve q = 48*m - 42*m + 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0512 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 3*b**3 - 6 + 2 - b**2 + 4*b**2 - 2*b in the form n*b + x*b**3 + z + q*b**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**4 + 3477935*d**3 - 46421227*d**2 wrt d.\nAnswer: 96*d + 20867610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c + 4. Is 16 a factor of w(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = o + 40 + 49, 5*y + 10 = 0. Let l = o + 149. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35 and -4741227.\nAnswer: -4741262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 946 = 11*d. Let l(p) = 88 - 185 + 3*p**2 + d. Let b(q) = -7*q**2 - 2*q**2 - 11*q**2 + 19*q**2. What is l(b(g))?\nAnswer: 3*g**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033686497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -502 - -358. What is t rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396959 is divided by 572?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753 = -35*v - 438 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.89?\nAnswer: -0.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31632 - 3?\nAnswer: 31628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -30998, 4, 0, -1, 8 in increasing order.\nAnswer: -30998, -1, 0, 4, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhsh when four letters picked without replacement from {h: 3, m: 3, f: 6, s: 5}.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -8, 11444, 1 in decreasing order.\nAnswer: 11444, 10, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 910 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(16))**2 - sqrt(16)\/sqrt(2) - (sqrt(10)\/(sqrt(60)\/(sqrt(12)*-1)) + 4)**2) + -4.\nAnswer: -43\/2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 42*z**5\/5 - 247*z**4\/24 + z**3\/6 + 975*z**2. What is the second derivative of a(l) wrt l?\nAnswer: 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7436 - -7435.94237. What is h rounded to three decimal places?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 + 6)*(-95 - 43*a**4 - 1622*a**3 + 11*a**4 + 1623*a**3) to the form k*a**2 + f + y*a**4 + x*a**3 + c*a and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 13*w - 6*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 300.52 + -299.82. Which is the nearest to 2\/5? (a) -4\/7 (b) 1\/3 (c) -7 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 5 + 1 + (5 + 1 - 4)*(1 - 2 + 3))*(-2*b - 2*b - b).\nAnswer: -130*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(612\/513)*(-9)\/((-108)\/(-16))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g*g**(-2\/13)\/g*g**(1\/4)\/(g*((g*(g*g**(-1\/5)*g)\/g)\/g)\/g))**44 assuming g is positive.\nAnswer: g**(9427\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 7:58 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kllkylnlkkylklkknnk?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 468640436 to the nearest integer?\nAnswer: 21648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 + -1. What is the nearest to s in 0, 0.2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + s + 446, 0 = -3*s - 0*s - 6. Let k be (b\/6 + -2)*-3. Suppose -5*r + 25 = -k. Solve -6 + r = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 4328 = -34*h. Is h\/(-6)*3\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 0.3, -0.19, -0.2, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17)\/((-459)\/18))\/(4\/428622) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, -7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from bkbiuubckkkkckbuuuyk?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022.443ml in litres?\nAnswer: 2.022443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*l + 2055 - 735 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 52*k**2 - 28343*k + 1649. Give y(545).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.452592?\nAnswer: -0.0452592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -17*j + 48. Solve 3*w - 5*f - 2 = 0, -4*f + j*f = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115006 is divided by 419.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 + 40\/3*q**2 - 16\/3 + 44\/3*q - 18*q**4 - 65\/3*q**3 = 0.\nAnswer: -4, -2, -1, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014355996 to seven dps.\nAnswer: 0.0001436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -638 divided by 319.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37650498 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 2, 7, -150 in increasing order.\nAnswer: -150, 2, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/10 - (-2)\/5. Suppose -25*f**3 - 3*f**h - 3*f + 6*f**2 - f**5 - 2*f**5 - 3 + 31*f**3 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -2*a - 12 + 4, 3*x = -5*a - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = w - 15. Suppose -21*i + 4329 - 3741 = 0. Calculate the least common multiple of i and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + 330182?\nAnswer: 3301b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/192 and -95\/288?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 6*w**2 - 3*w + 5*w)*(-17*w**2 + 2*w**2 - 3*w**2) - 3*w**4 + 0*w**3 + 0*w**3 + (0*w - 2*w + 4*w)*(2*w**2 - 2*w**2 - w**3).\nAnswer: 49*w**4 - 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 730144 to the power of 1\/2, to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -60, -3, -432 in descending order.\nAnswer: 3, 0, -3, -60, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933 = 13*m - 107. Calculate the greatest common factor of 20 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 28 = 5*d, 4*h + 23 - 62 = -5*d. Calculate the remainder when 19 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15c (base 15) to base 2\nAnswer: -100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 638155*c - 638156.\nAnswer: (c - 1)*(c + 638156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 501317 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 12. Let w be 2390\/(-4) + t\/18. What is w rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + -6*((sqrt(75) + -1)*-1 + ((sqrt(75)*2 - sqrt(75)) + -5 - sqrt(75)) + -2)))**2*-2.\nAnswer: -196250 - 105000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - x - 1 - x + (-2 - 1 + 5)*((-3 + 1 + 3)*(4*x + 3*x - 5*x) + 6*x - x - 3*x))*(51*x**2 + 11*x**2 + 244*x**2) as o*x**2 + l + j*x**3 + w*x and give j.\nAnswer: 1836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 208, 5, -4.\nAnswer: -4, 2, 3, 5, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18506900164 plus 0.62?\nAnswer: -18506900163.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**2 + 1\/60*g**5 + 0 + 0*g**3 - 1\/24*g**4 + 0*g. Factor x(j).\nAnswer: j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18464226 to the nearest integer?\nAnswer: 4297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*p + 401 - 60 = -121 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*k = -52, 3*k - 32 = y - 3*y. Suppose -1 = y*g - 9*g. Let s = -0.1 - -3.1. Put 4, g, s in increasing order.\nAnswer: g, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33177788 by -371.\nAnswer: 89428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-238)\/(-14) - (0 + -2) - 4. Let b(s) = -s**2 + 15*s - 19. Let c be b(q). Which is bigger: -22 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*z**3 - z**2 - 358807*z + 18277594?\nAnswer: 9*z**2 - 2*z - 358807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*n = -0*n - 28, -f = -5*n + 32. Let k be (f\/(-8))\/((-2)\/(-4)). Suppose 4*d + 5*s - 32 = 0, 0*d - 4*s = k*d - 25. Solve -2*j + d + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*i + 2149 + 971, 0 = -4*t - 2*i + 6244. List the prime factors of t.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7221105 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**3 - 30796*o**2 - 3832668*o - 120228948 = 0.\nAnswer: -7573, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 629 + 597. Let h = 268 + z. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.7 + 26. What is the second biggest value in -6, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-468)\/10 + (-4)\/(-30)*6. Let z be 28\/322 - 2112\/d. Calculate the greatest common factor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x, 4*t + 5*x = 23 + 127. What is the remainder when t is divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(4 + ((sqrt(1872) - (1 + sqrt(1872))*-4)**2 - ((sqrt(1872) - (-4 + (1 + sqrt(1872) - sqrt(1872))))**2 - sqrt(1872))) + 5 + -1).\nAnswer: 420*sqrt(13) + 44945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7219748*t**2 + 169795*t + 16.\nAnswer: -14439496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 - 0) - (53 + -56).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23412556*m**4 - 37241404*m**2 wrt m?\nAnswer: 561901344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let l be 1*(-1)\/(n\/(-12)). Find the third derivative of 3*q**2 - l - 2*q**6 + 4 - 4*q**2 wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 25*x**2 - 19*x. Suppose -74*n + 258 = -117*n. Let o(r) = 12*r**2 - 9*r. Determine n*v(u) + 13*o(u).\nAnswer: 6*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174103.\nAnswer: 151, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -74\/25 + 3196\/725. Do 0 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11278 divided by 20954?\nAnswer: 5639\/10477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) 11 (b) -2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41745 - 41706. Calculate the remainder when (-402)\/((-7)\/2 + 2) is divided by h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129065327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 85. Let q = b + 58. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*0*(-8)\/(-16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 140\/350 - 1026\/(-10). Suppose 21*g - 2 - d = 0. Put 0.21, -4, g in increasing order.\nAnswer: -4, 0.21, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -3, 364 in descending order.\nAnswer: 364, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j = 199*j - 1046 - 1892. Put -6, 60, j in descending order.\nAnswer: 60, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x**2 - x**2 + x**2 - 4*x**2 + 0*x**2 + (x - 3 + 3)*(2*x - 5*x + 2*x))*(6*x - 3*x + 5*x).\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -8 - (44 - 33)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*k + 224*k + 272886 = 955662. Calculate the least common multiple of 72 and k.\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -42.9. Let m = 9767 - 9772. Which is the closest to 2? (a) -0.3 (b) f (c) m (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-60) + (-4)\/(-16).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 equal to -40630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1151904 divided by 47996.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (4 - (-1 + 2)). Let u = -3 + w. Let a(h) = -9*h**3. Determine a(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 3692928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 7692 = 22202. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*p - 42*p + 2*p**4 - 3*p**2 + (73*p**3 - 143*p**3 + 77*p**3)*(3 - p - 3) + 2 - 2*p**4 - 2.\nAnswer: -7*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/((x**8*x)\/x))\/x))\/x**7*(x\/(x*x*x**(6\/11)))\/(x\/x**(-14\/9)) assuming x is positive.\nAnswer: x**(-208\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 53. Let f = -3 - 2. Let r be f*((-4)\/2 - 0). Solve 2*y + r = -2*c, -t*c + 4*y + y = 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**10*z)\/z)\/(z**(1\/6)\/z*z)*z\/(((z*z**(-2\/13))\/z)\/z)*z**(1\/9))**41 assuming z is positive.\nAnswer: z**(125665\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -1, 1\/4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147470 and 605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c265a5 - -1?\nAnswer: c265a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) 0.12 (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-87))\/(891\/103356).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436648?\nAnswer: 2, 54581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-244)\/(-2562)*-77 + 26\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 6*z**2 - 2*z + 9. Let r be v(6). Calculate the remainder when (-64)\/r - 4\/12 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 3\/100*o**5 + 0 - 1\/20*o**4 + 0*o**3 - 3*o + 0*o**2. Factor w(l).\nAnswer: 3*l**2*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*u + 16 = 0, 2*u = -5*p + 6*u + 20. Suppose -p*t + 5 - 1 = g, -4 = -g - 2*t. Let k = 94 + -92. Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69 - -68.5. Which is the closest to 1? (a) -33 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x. Suppose -y - 4*y - 3*z + 17 = x, z = -1. Let b be y + (-4 - -1) + 4 + -9. Let u(l) = -l**3 - 4*l**2 - l + 2. Calculate u(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times -11\nAnswer: -2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 551 = 4*j - 271 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -8.4549.\nAnswer: -8.3549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/k**(-3\/7))\/k)*k**(-4\/17)*k assuming k is positive.\nAnswer: k**(159\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -306*h**2. Let s(f) = -770799*f. Determine y(s(o)).\nAnswer: -181804116110706*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 5*u + 2*u + (2*u - 4 + 4)*(-1 - 2 - 1))*(95 - 12 + 68)*(1 - 1 - 1).\nAnswer: 1510*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 8:55 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*n + 12 = p, p + 2*n = 0. Suppose 589 = 5*f - p*i, -f + 89 + 26 = i. Suppose 5*q - 158 - f = 0. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from reeyterrwt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, 1, 3, 3893, -1 in increasing order.\nAnswer: -2, -1, 1, 2, 3, 4, 3893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100 - -31113211?\nAnswer: 31111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1069 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549656 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1442965 to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1994 and 3467.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 43, 46, 51, 58, 67, 78?\n\"Answer: x**2 - 2*x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*o + o. Suppose -3*w - 22 + 7 = 0, 2*p = w - 13. Let z = o - p. Solve -z*x = -x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 - 6*i - 2*i**2 + i**2 + 4 + 8 + 10*i**3 - 10 to p*i + y + g*i**2 + c*i**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 15*h - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1 - (-1 - -2)). Let g(t) = 2*t**2 - t + 1. Let o be g(p). Suppose -3*k - 75 = -5*d, o*k + 1 = -9. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + sqrt(125))*3)**2.\nAnswer: 450*sqrt(5) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gktmtktmkmtgkg. What is prob of picking 3 m?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1100)*-2*-6)**2.\nAnswer: -158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 6)*(-5 - 1 + 0)*(2*o**2 - 3*o**2 + 3*o**2) to z + w*o**2 + d*o and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rry when three letters picked without replacement from ryflfyrllryfffrfyl.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 + 13022.970527.\nAnswer: 12958.970527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 i when three letters picked without replacement from eiiwewwewewwweewww?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3200220313 (base 5) to base 2.\nAnswer: 11001010111000110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15934 = 19*w - 8215. Suppose o - w + 221 = 0. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 7\/4, -97, -1?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 4*l**3 + 11*l**3 + (-112 - 7*l + 112)*(-l - 2*l**2 + l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.48, -2?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)*a*a)**(-13\/3))**(-8\/3)\/((a\/((a**(1\/2)*a)\/a))**(-11)*a**7*a*a*((a\/(a*a**(-4)))\/a*a*a*a)\/a) assuming a is positive.\nAnswer: a**(211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from pwwppwppaapapaaupa.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 3*r + 88. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 8b?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 + 7*z - 7. Let c be y(2). Let k(n) = -22*n + 22. What is the tens digit of k(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 0.1 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 168607744+-0.06146\nAnswer: 168607743.93854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*l**4 - 7560*l**3 - 8988*l**2 - 1384*l = 0. What is l?\nAnswer: -1, -2\/11, 0, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58888 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5.595 (b) -3 (c) -2 (d) 0.2 (e) -0.5 (f) -157\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5) - sqrt(405)*3) + -5.\nAnswer: -5 - sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.4, 0.05, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5344756286 - 5344756064.0000207. Let x = 453 - 231. Let h = x - v. Round h to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*t**2 + 52*n**3 - n**2*t**4 - 78*n*t**2 - 3*t wrt t?\nAnswer: 4*n**3 - 12*n**2*t**2 - 156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(19)*1*5)**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149755 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203 + 307. What is the highest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 - 2*d**3 - 12*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*o + 30 = 0, -o - 19 = 3*k - 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s + 1. Suppose -8*q + 15 = -3*q - 4*f, -4*q - f - 9 = 0. What is z(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 8*(-77)\/44?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44687181, 44687180, 44687177, 44687172, 44687165, 44687156?\n\"Answer: -g**2 + 2*g + 44687180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {p: 1, u: 3, y: 2, t: 1, e: 4, z: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let y = 0.1 + 6.9. Let v be 2*(561\/(-55) + (-10)\/(-1)). Which is the biggest value? (a) i (b) y (c) 5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 38*c - 83*c = -1414. Let q(x) be the third derivative of -2*x**3 + c*x**2 + 1\/30*x**6 - 5\/6*x**4 + 0 + 0*x - 1\/15*x**5. Solve q(o) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193878 at most 3193870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0, 5731, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 2076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -791 or -773?\nAnswer: -791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(-58)*4\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - 2*v. Suppose v*c = -c + 35. Let l be 2\/(-21)*-3*c. Solve -j = j - l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-162)\/(-18) - -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(2) - (sqrt(2) + 1)*-1))**2*-6.\nAnswer: -114 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*10\/280*(-4)\/30?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/13676 and -77\/2412.\nAnswer: 8246628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 - 269. Let v(y) be the first derivative of 0*y**3 - 5\/2*y**p - 3 + 0*y - 3\/4*y**4. Find the second derivative of v(m) wrt m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 43*y**2 + 27*y + 94. Give j(-22).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211 = 61*v + 216 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 16*u**2 - 16*u + 11. Let x be z(15). Let k = -56 + 56. Which is the third biggest value? (a) k (b) 1\/3 (c) 0.03 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7010 (base 11) in base 5?\nAnswer: 244303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 + 0*s**4 + 3*s**4 + 52*s**4 - 46*s + 46*s + (-s + 4*s - 2*s)*(s**3 + s - s).\nAnswer: 51*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/11 + 1068*u\/11 = 0 for u.\nAnswer: 0, 1068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*y = -39, 4*y + 13 = -5*n + 55. Suppose -3*m = -4*q + 35, 6*m = -5*q + 2*m + 36. Let s be (n\/q)\/(1\/4). Is 4 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*c - 25 + 25 to the form t*c + v and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102*i + 102*i + 12*i**2)*((-1 + 6 - 3)*(-4 - 2 + 0) + 0 + 0 - 1)*((59 - 13 - 16)*(1 + 4 - 3) + 2 - 6 + 2) to f*i**2 + d + z*i and give f.\nAnswer: -9048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) 2\/11 (c) 4\/15 (d) -27.2 (e) 4 (f) -2 (g) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 1 c when three letters picked without replacement from {c: 1, z: 1, d: 2, m: 2, b: 1, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*g = -0 + 6, -g + 21 = -5*m. Let s(c) = -2*c**3 - 4*c**2 - c - 2. Let l be s(m). Let b = -80 + l. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5509)\/6296)\/(28\/(-120))?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158.032 + -0.032. Let z = 158.000071 - b. Round z to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4901 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3. Let s(q) = -q - 1. Let r(b) = p(b) - 3*s(b). Let f(i) = 23*i**2. What is r(f(m))?\nAnswer: 69*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*v - 18 = 0, -v + 9 = 6*l - 2*l. Let s(i) = 36*i**2 - 16*i. Let t(n) = 7*n**2 - 3*n. Determine l*s(a) - 16*t(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 17*b**2 - 18*b + 20. Let z be t(16). What is the remainder when 6 is divided by (-22)\/(-8) + (-27)\/z + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 + 11*j**2 + j**2 + (5*j - 2*j - 4*j)*(j + 0*j + j) - j**2 - 2 + 2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 + 1. Let v = -89 - -90. Give w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147808638?\nAnswer: 2, 3, 19, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88 or -6?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + ((sqrt(405) - (sqrt(405) + (sqrt(405) + 0)*1 + sqrt(405)))**2 - sqrt(405)).\nAnswer: -9*sqrt(5) + 1618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -228555, -457110, -685665, -914220, -1142775, -1371330?\n\"Answer: -228555*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387*a**6 + 430*a**2?\nAnswer: 46440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*s - 1. Solve w - 2*i = -3, 3*w - 3*i = -s - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8477 at most as big as -364\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 16*w**2 - 18*w + 3 - 63*w**2 + 11*w**2 + 16*w**2 + 22*w**2. Let v(d) = -d**2 + 12*d - 2. Calculate -5*b(q) - 8*v(q).\nAnswer: -2*q**2 - 6*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 4*l**2 - 2*l - 4. Let c be d(-4). Let b = -3815 - -3815. Suppose g + c*g = b. Solve g*p - 8 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -887162.029 + 887072.0289929. Let u = -21 - -111. Let a = u + j. Round a to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*y**5 - 16929*y**4 - 5337960*y**3 + 460022925*y**2 + 1831833000*y - 2998110000 = 0. Calculate y.\nAnswer: -740, -5, 5\/4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbi when three letters picked without replacement from {b: 2, i: 3, x: 1, j: 7, a: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aass when four letters picked without replacement from asssasaassaasa?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 199 divided by -42536\nAnswer: -199\/42536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n**2 - 12*n + 7. Is f(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or 211\/6?\nAnswer: 211\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 + -232 - ((9 - 22) + 0 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16218733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(357) - sqrt(357)*-1)\/sqrt(7))\/((sqrt(6) - (sqrt(12)\/sqrt(2) - sqrt(6)))\/sqrt(2)).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6687 times 26\nAnswer: -173862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6971 smaller than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19897.85808693 from -4.\nAnswer: 19893.85808693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 5408?\nAnswer: 5413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/9)\/(-1))\/((-1)\/261)*-2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -11*v + 11. Let q = v + -6. What is the second smallest value in q, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 8*c. Let t(h) = -2*h**2 - 23*h. Give -11*k(r) - 4*t(r).\nAnswer: -3*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r, 2*g + 3*r + 78 = 0. Let j = -22 - g. What is the greatest common divisor of 136 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 32*y - 13. Is g(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 236442, 236411, 236380, 236349, 236318, 236287?\n\"Answer: -31*v + 236473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + t**3 - 4)*(-386*t - 412*t - 2912*t) as v*t + j*t**3 + d + m*t**2 + f*t**4 and give f.\nAnswer: -3710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 2*c + 17 + 15, -5*c = -i + 14. Let p be 62\/i - 3\/(-9). Calculate the remainder when 16 is divided by 2\/10 - 88\/p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*n + 29*n**2 + 80*n)*(3 - 3 + 2*n**2).\nAnswer: 58*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 5*v**2 - 1. Let q be f(-5). Let z = q + 1. Suppose 5*w - 292 + 47 = z. What is w rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + d0?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let q = 112.8 + -110.8. Sort 2\/7, 4, n, q.\nAnswer: 2\/7, n, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 537782190?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 47*q - 91. Give s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l + 1. What is v(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2347131, -4694240, -7041363, -9388506, -11735675, -14082876, -16430115?\n\"Answer: -c**3 - c**2 - 2347099*c - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0253 and 13.\nAnswer: 0.3289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v - 2*v - v)*(-4 + 7 - 4) - 1 - v + 1 + 0*v + 3*v - 5*v + (-3*v + 4*v + v)*(3 - 4 + 0) + v + 0*v + 0*v + 8*v - 3*v + 4*v + 3*v - v + 0*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suss when four letters picked without replacement from {s: 6, z: 1, u: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365 + 401. Let b = -841 + 1237. What is the greatest common divisor of g and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + -2*sqrt(117) + 5 + -5)**2 + 1.\nAnswer: 60*sqrt(13) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(12) + (sqrt(12) + sqrt(12) + -2*sqrt(12))**2 + -1 + 2*sqrt(3)).\nAnswer: -4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-371628)\/702)\/(-93) - (-1 + 1 + 6). What is the second smallest value in 0.09, 2\/17, y?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7632 and -71\/5016?\nAnswer: 1595088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212544 and 15744?\nAnswer: 425088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91073, -182144, -273215, -364286, -455357?\n\"Answer: -91071*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327281, -654487, -981703, -1308935, -1636189, -1963471, -2290787?\nAnswer: -2618143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 862*h + 45 = 859*h. Let w(a) = 2*a - 34. Let t(k) = -k + 1. Let x(v) = 3*t(v) - w(v). Let b be x(h). Round b to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1166357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501376?\nAnswer: 2, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/(-8)*(-112)\/(-24). Suppose 120*u - z = 113*u. Solve 2*b - 21 - 8 = u*a, -3*a = b + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eueu when four letters picked without replacement from {u: 10, e: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, 0.03, 2, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - f + 7, -5*f = -5*v + 80 - 25. Suppose v = -4*p + 85. Calculate the remainder when 54 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + r. Let b(g) = -4*g**2 + g. Let s(f) = -2*b(f) + 2*l(f). Let a(p) be the second derivative of -1\/3*p**3 + 0 + 0*p**2 + 20*p. Calculate s(a(h)).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (30\/(-5) - 57554) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0069023603 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 0.018. Let k = h + -26.972. Let c = k + 21.5. What is c rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125*j - 2*j**2 + 148*j - 2 - 187*j)*(1 + 2 - 5)*(-6 + 3 + 2) to b + s*j + i*j**2 and give s.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 18106686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkckckjkcjkjkjkc. What is prob of sequence jk?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 88477?\nAnswer: 176954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 8. Let n(h) be the second derivative of 0*h**s - 1\/80*h**5 - 3*h + 0*h**3 - 1\/42*h**7 + 0 + 0*h**2 + 1\/24*h**6. Factor n(d).\nAnswer: -d**3*(d - 1)*(4*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 40.2. Let w = 0.8 - l. Put 6\/7, w, -3\/5, 2\/11 in ascending order.\nAnswer: -3\/5, w, 2\/11, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -5266749.\nAnswer: -4\/5266749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237 - -237.495. Let g = -0.095 + n. Let s = 94 - 92. What is the fourth smallest value in -1\/3, g, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1733 + -1732. Put t, -1\/4, -0.4, -2\/39 in descending order.\nAnswer: t, -2\/39, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -87.6.\nAnswer: 43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -2478, -8362, -19824, -38724?\nAnswer: -66922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 - 11*d - 15. Let b be n(2). Sort 35, b, 1.\nAnswer: b, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 5*f + 9. Let t = 8 - 6. Let s be o(t). Solve 3*d = 4*u - 0 - 8, 3*d + s = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t - 110. What is j(11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 1. Let p(s) = 4*s. Let l(u) = 2*p(u) - 5*v(u). Let t(w) = 5 - 57*w + 1 + 28*w + 32*w + w**2. Let m be 2*2\/(4\/(-2)). Determine m*t(r) - 3*l(r).\nAnswer: -2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -95 and 0.4?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -104, -240, -398, -584, -804, -1064, -1370, -1728?\n\"Answer: -o**3 - 5*o**2 - 114*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*x - b**2 + 482113*b*x - 186*b + 3*x**4 + 116 with respect to x.\nAnswer: 2*b**2 + 482113*b + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 22*x + 20*x + 218 = 0, 0 = 15*p - 3*x + 143 + 19 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2278902 is divided by 758823?\nAnswer: 2433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.04 - 4. Let x = q - -2.96. Which is the biggest value? (a) x (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33539629830 to the nearest one million.\nAnswer: -33540000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/20 + (-57)\/30 + 3\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.66443.\nAnswer: 0.332215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69 and 48.4258.\nAnswer: 3341.3802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/28 + 2 + 96\/21. Solve 4*n + x = 1 + 6, 12 = r*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 1 - 1 + 20968027*s - 20968226*s.\nAnswer: -199*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -473*n**5\/10 - 1471*n**2\/2 - 1248*n. What is the derivative of l(x) wrt x?\nAnswer: -2838*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 = -579*k + 607*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -13, -0.1 in ascending order.\nAnswer: -13, -5, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6011703*d**2 + d - d + 12023384*d**2 - 6011676*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1242, 1247, 1252, 1257?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11.14 - -11. Let p = 0.1400071 + c. Round p to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 165066195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1923*c**2 - 3. Let t(q) = -9212*q. Calculate t(i(h)).\nAnswer: -17714676*h**2 + 27636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -808 + 982. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -217 + 13. What is the greatest common factor of 663 and q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260557.9 millilitres in litres?\nAnswer: 260.5579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/5, 176\/217.\nAnswer: -1\/5, 176\/217, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1308075437 to the nearest one hundred thousand.\nAnswer: 1308100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 - 104. Calculate the smallest common multiple of 63 and u.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1556 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 3, -3, 323, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5825220 divided by -6.\nAnswer: 970870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -7*x + 8. Suppose 6*z + z - 21 = 0. Let a(h) = 44 - 7*h**2 + z*h**2 - 44. Give a(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, n: 2}. Give prob of picking 1 n and 1 w.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 18*d = r + 33, -d - 4*r = -30. Solve 0 = -4*t + d - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, -10110, -11 in ascending order.\nAnswer: -10110, -11, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89135 is divided by 3649?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-71 - 6)*(55\/(-14) - (-10)\/20). What is the closest to -1\/23 in -0.2, -0.3, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.2. Let m = -0.663 - -0.863. Which is the smallest value? (a) n (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7829.\nAnswer: 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20762310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29091, 54898, 80705, 106512, 132319?\nAnswer: 158126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 5*r - 13, -s + 5510*r - 5512*r + 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36116.\nAnswer: 2, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 21. Let w(r) = -r - 8. Let d be w(-8). Let o = -18 - -17. Put m, d, o, -3 in decreasing order.\nAnswer: d, o, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.12 - 12.12. Which is the closest to 0? (a) 3 (b) -7 (c) 2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-29)\/o**(-3) assuming o is positive.\nAnswer: o**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24036 is divided by 238?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-1))\/((-10)\/(-315)*7). Let g be -2 + (-33)\/n + -3 + 1. What is the nearest to -2\/7 in g, -2, -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.647 - -0.347. Which is the closest to -6? (a) h (b) 1 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -30, -43, -58, -75?\n\"Answer: -r**2 - 8*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -7) + (-10 - (-23 - -18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26730 is divided by 3292.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.2272604 centuries?\nAnswer: 0.02272604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -17*c**6\/40 - c**4\/24 - c**2. Let r(d) = -30*d + 509. Let q be r(17). List the prime factors of i(q).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1*2 + 3 + sqrt(8) + -3 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)\/v)**(-13))**(-17)\/(v**(-6)\/(v*v**(-4)\/v))**24 assuming v is positive.\nAnswer: v**(-1461\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3458 + -3459. Put 0, -2, p, 1 in decreasing order.\nAnswer: 1, 0, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -7*h**3 - 14 + 65\/3*h - h**2 + 1\/3*h**4 = 0?\nAnswer: -2, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21419118549 + -12060309411. Let t = l + -9358809052.00000106. Let a = -86 + t. What is a rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 59*b**2 + 68*b**2 - 282*b**2 + 66*b**2 + 5*b + 54*b**2.\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -345461526?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + z)*(885*z**2 - 183*z**2 - 384*z**2)*(4*z - 4*z + 2*z) to t*z + j*z**4 + p + o*z**2 + i*z**3 and give j.\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**3 + u**3 - 4*u**3 + 12*u**3 + 58*u**2 wrt u?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3097*q + 3099*q - 4*n - 60, 4*q + 2*n = -50 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*x = 14, l - 6*l - 4*x + 17 = 0. Let n be 6 + (-266)\/42 + 8\/42. Which is the second biggest value? (a) l (b) -1 (c) n (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*u - 8 = 0, -6 = 5*i + u + 5. Find the common denominator of -99\/10 and 4\/i*(-708)\/(-192).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + q**5 + 0*q**5 + (-q + 4*q - q)*(-q**2 + q**2 - 2*q**4) - 3*q**3 + 3*q**3 - q**5 - 4*q**5 - 2*q**2 + 5*q**5 + 4*q**2.\nAnswer: -2*q**5 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/24)*l**(-2\/17))\/(l*(l**(-6\/7)*l)\/l*l)**(-26))**(-13\/6) assuming l is positive.\nAnswer: l**(-1134445\/17136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 4356234188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*a = -1 - 0, 2*p = -5*a + 4. Let l be (38\/(-12) - p)*2. What is the closest to 0.01 in l, 0.1, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3017 + -2143. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -1 + 2 + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15278 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 62 + 4 + -27\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**3 - 33*c**2 + 65*c - 36. Let s = -110 - -126. Let g(j) = -28*j**3 + 100*j**2 - 196*j + 108. Let p(m) = s*t(m) + 5*g(m). Factor p(o).\nAnswer: 4*(o - 3)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5*f**3 - 3*f**2 - 3*f + 2. Let y(m) = m**3 + m**2. Calculate -b(x) - 3*y(x).\nAnswer: -8*x**3 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -345*h. Let l(s) = 9031*s**2 + 10. Determine m(l(z)).\nAnswer: -3115695*z**2 - 3450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r + 1. Suppose 0 = p - 4*p + 3. Let b be y(p). Suppose b*x = 14*x - 241. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + n)*(n + 0*n + n + 3*n + 2*n - 4*n + (2 + 2 - 2)*(-3*n + 3*n + n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 973499 + 42.8\nAnswer: 973541.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995812525 a multiple of 895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-5\/2))\/j*j**(-1\/6)*j**(3\/7)*j\/((j\/(j*(j\/j**(-6))\/j))\/j)*j*j*(j\/((j**(1\/3)\/j)\/j)*j\/(j*j*j*j*j*j**(-13)*j)*j)**(-10\/9) assuming j is positive.\nAnswer: j**(-983\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from ljuejnkeu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 7*b. What is v in b*v - 5*v - 3*v + 16 - 15*v**2 + 16*v**2 = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f - 2 = 0. Let b = f - -2. Suppose -4*l + 115 = -b*o, 2*o + 7 + 3 = 0. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((4 + -12)\/(-2) + 0). Let n(w) be the second derivative of w**4\/2 - w**3\/3 + w**2\/2 + 21*w. Let o be n(-1). Solve 2*d + 1 - o = b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 2*q**2 - q - 2. What is the lowest common multiple of w(-3) and (-32)\/3*549\/(-366)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -417.8 + 417.3. Which is the second smallest value? (a) 2.31 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 119, -19.\nAnswer: -19, -4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202633 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 12*m**2 + 13*m + 3. Let v be t(-13). Suppose -j = -v - 1. Let 38\/5*u**3 - 82\/5*u**2 + 48\/5*u + 18\/5*u**j - 14\/5*u**5 - 8\/5 = 0. What is u?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.747 + -9.747. Put -0.1, h, -4, -0.6, 4 in increasing order.\nAnswer: -4, -0.6, -0.1, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1079 (base 11) to base 15.\nAnswer: -647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jknyaayjjjnjaj. What is prob of picking 1 y and 1 n?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(1006\/18611 - (-152)\/(-74)) - 116\/6?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132512 and 9266?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 3*z + 11. Let g(s) = s**2 + 3*s - 10. Let r(p) = -6*g(p) - 5*y(p). Let t be r(-3). Solve 2*i = -t*l, 3*l = -4*i + 11 + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 2:01 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188418 = 4652*n + 1325*n + 146580 + 226840 for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 + (-10 - (53 + (-22 - 21)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((-167)\/(-3006)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11 (b) 0.5 (c) -12.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*-1*(-2800)\/(-4900).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1218492381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-1)*-412)\/(1 - -1). Let d = o + -717. Does 46 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.9 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6390555?\nAnswer: 3, 5, 17, 19, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -1 + 0 + 2*n - n**2 - n - 2*n. Let w(f) = -2*f**3 + 10*f**2 + 14*f + 8. Let u be 21 - (4 + 150)\/7. Give u*w(s) - 10*v(s).\nAnswer: 2*s**3 - 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2 (b) -1\/2 (c) 31 (d) -0.05203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 3:36 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962*o = 951*o + 506. What is the greatest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:20 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1 and -4.4809.\nAnswer: -3.3809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7596 is divided by 193?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4 times 0.4?\nAnswer: -4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 10*j**2 + 1456105*j - 728055 = 0.\nAnswer: -145611, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**3\/3 + 3*h + 10. Let i(t) = -2*t**2 - 14*t. Calculate i(d(f)).\nAnswer: -8*f**2 - 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 6*f + 19. Let k be n(-8). What is the derivative of -2*p**3 - 3 - 7*p**k + 2 - p**3 wrt p?\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 22424?\nAnswer: 22424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1133333212 (base 4) to base 9.\nAnswer: 658317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/(-10))\/(-1)*(-284)\/(-6) and 22\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25861, 51720, 77579, 103438?\n\"Answer: 25859*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.6 (b) 6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 989404324 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70\/387 - 3\/43. Let n be (2\/(-4))\/((-54)\/36). Sort 0.1, h, n in ascending order.\nAnswer: 0.1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2 + 2695*s + 8130.\nAnswer: -5*(s - 542)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12045 - -23?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9244457 to 3 decimal places.\nAnswer: 0.924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*n + 1450, 2*p - 8*n = -7*n - 1450. Which is smaller: p or -726?\nAnswer: -726","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and -2.082?\nAnswer: 0.5205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 + 3*t + 7. Let u(o) = 2*o**2 + 2*o + 3. Determine -7*u(q) + 3*w(q).\nAnswer: -2*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35283 + 35288.8. What is the nearest to -2\/7 in -1\/6, q, 4, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -37*f + 27. Determine h(5).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -0*v. Let i be 1 + -2 - (-4 + 6 + -3). Let x(l) = l**2 - 32*l - 1421. Let k be x(57). Solve k*w + v - 17 = i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*p = 44*p - 133*p + 2 - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 - 32.00000078. Round b to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1 (c) -9\/58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*k + 42*k + 3. Sort 6, -12, 5, k in ascending order.\nAnswer: -12, k, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.030409 times -147\nAnswer: 4.470123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -477 - -140. Let k = -197 - v. What is the greatest common factor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -1239498.523888?\nAnswer: 1239496.523888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 2\/1 - 0. Suppose -699 = -2*d - 159. Suppose u*c + 3*c = d. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - 0. Let o = -0.167852 - -0.767824. Let q = l + o. What is q rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83.77 to zero dps.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 227, 483, 841, 1301, 1863?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + g - 2*g + 4 = 0, 5*g - 2 = 4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7774 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7.678743 months?\nAnswer: 0.00063989525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -233?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - s + 1. Let l(v) = 6*v**2 + 5*v + 3. Let g(p) = 3*p**2 - 109*p + 41. Let n be g(36). Calculate n*f(y) + l(y).\nAnswer: y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/2*x**2 + 0 + 3\/2*x**3 + x.\nAnswer: x*(x + 2)*(3*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = w, w + 8 = 2*w + 2*f. Suppose 2*z - 6 = 0, w*o - z - 1 = o. Let d(g) = 92*g**2 + 4*g - 15. Is d(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47311 divided by -2?\nAnswer: 47311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 14 - (-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418355418.\nAnswer: 2, 709177709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from fffjfjhfhffhfhfjj?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 657400224 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*w + 0 - 32 = 0, -5*w + 45 = -4*j. What is the hundreds digit of (-304)\/j*(9 + (-68)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1267, 284, 2, -2\/9, 321 in increasing order.\nAnswer: -1267, -2\/9, 2, 284, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99996014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/159 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -23, 14.\nAnswer: -23, 2\/15, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/25*-2 + 1175646\/(-3050025).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/9 (b) 1.891478 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3245, 6405, 9571, 12737, 15897, 19045, 22175, 25281?\nAnswer: 28357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -318351 + -0.4\nAnswer: -318351.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 - 1720*a**4 - 118604*a**3 + 493232*a**2 - 623792*a + 250880 = 0. What is a?\nAnswer: -64, 1, 2, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 24. Suppose u = -n - 20 + 96. Suppose 3*i - n = -i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -42. Suppose -z + 22 = i, -4*i + 68 = -3*z - q. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 10*d**3 + 4*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1641*w - 37 = 1584*w + 1844 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -261714 divided by -16?\nAnswer: 130857\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867, -1811, -2755?\nAnswer: -3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j - j)*(1 - 6 + 4)*(3 - 2 - 3) + 0 + 0 + 2*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143650 is divided by 188.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1989443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 27*g**2 - 19*g - 28. What is n(26)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.17 + -2.83. Which is the second smallest value? (a) n (b) 0.4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.5548 rounded to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1279 times -0.77?\nAnswer: 0.098483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 17 = 75*p - 251 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 125*t - 865. Let u be c(7). What is the greatest common divisor of 215 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f**3 - 1\/30*f**5 + 0*f - 1\/8*f**4 + 43*f**2 + 0 + 1\/120*f**6. Factor j(w).\nAnswer: w*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27343297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1279*n - 571793. What is x(447)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.9 + 19.9. What is the nearest to -4 in -2, 0.5, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/6)\/((-4)\/(-12)). Let g = -25 + f. Find the first derivative of 27*b**g - 12*b**3 - 29 + 9 wrt b.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280 divided by 5.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080)*-1)\/(-4*sqrt(150) - sqrt(6)).\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*(-6)\/(-162)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-21)*((-5)\/2)\/((-688)\/(-32) - 19)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*p**2 - 80 + 521*p**2 + 53 + 25 as s*p + t*p**2 + v and give t.\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5476 (base 13) to base 16.\nAnswer: -2dee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 8975?\nAnswer: 3\/8975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -825*r**2 + 469*r**2 - 601*r**2 to the form z + s*r + w*r**2 and give w.\nAnswer: -957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140795\/14 + 10065. Calculate the common denominator of -113\/24 and n.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760914 divided by 549.\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -508565 (base 9) in base 7?\nAnswer: -2364062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 25806748.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/19798 and -32\/76587.\nAnswer: 2910306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.069 - -16.141. Let d = 16 - r. Let i = d + 0.41. What is the nearest to 1 in i, -6, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.1. Let j = -0.4 + f. Let q = -0.1 + 0.3. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28973.\nAnswer: 7, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451169 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -20. Let k be 2*i*2\/4. Let u = 30 - k. Which is the nearest to -0.1? (a) 1 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 - 4 = 0. Let v be (120\/(-9))\/(2\/k). Let m = v + -3. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12a2 (base 16) to base 10\nAnswer: -4770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 39*q - 3835. Calculate the remainder when 1103 is divided by p(99).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*j**2 - 13 + j**4 + 200*j**2)*(7 + 6*j - 17 + 5).\nAnswer: 6*j**5 - 5*j**4 - 78*j + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/152871744 and -53\/10635?\nAnswer: 764358720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44009738 and 66014607.\nAnswer: 132029214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j + 2. Suppose 0*p - 5*p = -j*p. Sort -10, p, 5 in descending order.\nAnswer: 5, p, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 2. Let p be r(3). Suppose 0 = 2*f - p - 3. Differentiate -f*v**2 - 2 - 2*v**2 + 1 wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 158687?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 641711 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 639 and 4899.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose -2*h - 4*v = -18, 2*h - 2 = 4*v - 8. Let b(f) = 61*f + 4. Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {w: 10, q: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ddcgpdgmd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*t + 4*h + 20, -4*h - 10 = t. Let k be 2*(-5)\/5 - -3. Suppose -13 + k = -3*a. What is the remainder when t is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3318.67102 rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3088316 by -83468.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {a: 1, z: 2, f: 1, j: 2, m: 4, o: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14102 or -14101?\nAnswer: -14101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u - 2*u)*(-u**2 + u**2 - 2*u**2) + u**3 + 0*u**3 - 2*u**3 - 27*u + 27*u + 6*u**3 + (-2*u + 3*u - 4*u)*(-3 + 3 - 2)*(-u**2 + 4 - 4).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184583 is divided by 89803?\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 1 + 11. Let n = -4\/87 - 245\/348. Let v = 0.04 - -0.06. Which is the nearest to v? (a) l (b) -5\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-21)\/45*3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 430633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 468099853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 - 4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 2)\/(-3) - (-19950)\/1805.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2 - 3. Let z(q) = -1 + 3 - 7*q**2 + 3*q**2. Let f(j) = -2*m(j) - 3*z(j). Let x(v) = 3*v. Calculate x(f(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/(-20)*-5*4\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by 6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 1, g: 2, e: 1}. What is prob of picking 1 t and 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -2*f + 0 - 4\/3*f**3 - 1\/2*f**2 - 1\/12*f**4. Let n be o(-5). Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 19897553?\nAnswer: -19897550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*s + 10 + 2701, -3*s - 5*i + 2701 = 0. Does 54 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w**5\/7 - 849822*w**4\/7 - 1699686*w**3\/7 + 2549478*w**2\/7 + 3399360*w\/7 - 3399336\/7 = 0. Calculate w.\nAnswer: -2, 1, 141639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -344 + 1485. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-258)\/(-432) + (0 - (-15)\/(-40)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 346561, 346557, 346551, 346543?\nAnswer: 346533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 3*v**2 - 68*v - 8. Let j be l(7). Suppose -j*g = -5633 + 101. List the prime factors of g.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 13*v - 156 = 2*i, 2*v - 8*v + 87 = -i - 4*v for i.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (-99280)\/8313 + 4. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2160 + 115 = -7*j. Let u = j - -430. Calculate the greatest common divisor of 60 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 4)\/(1 - 0). Let i(u) = 13*u**2 - u - 1. List the prime factors of i(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by 9.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*c**2 - 6*c**2 + 6*c**2 + (-3*c - 2*c + 2*c)*(5*c - 6*c - c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7*v = 2*v, 4*z - v + 9 = 0. Let x(r) = -r. Let c(y) = -7*y + 7. Let h(t) = z*x(t) + c(t). Let m(q) = q. What is m(h(g))?\nAnswer: -4*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**8)*t*t\/(t\/(t\/(t*t**(1\/9))))*t)**(-6\/13) assuming t is positive.\nAnswer: t**(128\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + 5 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 2010?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 4*v**2 - 5*v - 3. Let a be k(-3). Solve -2*c - g + 1 = 3, -g = -a*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15427190 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.97, -1.2, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3305*z**6 + z**2 + 14*z + 150.\nAnswer: -396600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - l = 2*j + 34, 0 = -3*l + 3. Suppose 5*c - 3*i - 125 = i, 0 = 4*i + 20. What is the greatest common divisor of c and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(100) + sqrt(100) + (sqrt(100) - (1*sqrt(100) - sqrt(100))) + sqrt(100) + sqrt(100))*-5)\/sqrt(5))\/(2*sqrt(40)\/sqrt(4)*6)*-2.\nAnswer: -4 + 25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 + 702*p\/5.\nAnswer: -p*(p - 702)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1) - -1)*50. Suppose w = -4*w + m. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3305145240 to the nearest one million.\nAnswer: -3305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 243105 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -282, -568, -854, -1140, -1426?\n\"Answer: -286*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p - 5 - 5*p**2 + 5 + 1 + p**3. Let s be k(6). Find the second derivative of 7*u**2 + u + u**3 - s*u**2 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/24)\/(-7*2)*6*1?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 2:23 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121222210 (base 3) in base 12?\nAnswer: 35410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -127*z + 1. What is j(1)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 345350.\nAnswer: 2\/172675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31562 divided by -778.\nAnswer: -15781\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26511, 48, 4.\nAnswer: 4, 48, 26511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1508 - -1724. Let a = 11 - -16. Calculate the greatest common factor of n and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 + -76. Let x(d) = -d**3 + 2*d**2 + 2*d + 4. Let i be x(3). Suppose 19 = 2*u + i. Calculate the greatest common factor of u and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*i + 3017 = 2150 - 4209 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 90*l - 153*l - 158 wrt l.\nAnswer: -243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 141*q - 207. Calculate x(-72).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8121 or -8122?\nAnswer: -8121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1169, 12, 3, 0, 5, -4, 7 in decreasing order.\nAnswer: 1169, 12, 7, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**5 - j**5 + j**5 + (5*j**3 - j**3 - 2*j**3)*(-4*j**2 + j**2 + j**2))*(-1 - 1 + 4)*(-5 - 12 + 3).\nAnswer: 84*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-6)*(-10)\/(-3). Let t be s*(3 + -6 + 2). Does t = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:24 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 10*x - 1)*(-x + 7*x - 228 - 3*x - 4*x).\nAnswer: 10*x**2 + 2280*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3)*0)\/(-2). Let v = -0.46 + 2.56. Let g = -2 + v. Which is the nearest to g? (a) -3\/5 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -145*l - 1150 - 1784 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - t**2 + 2*t + 0*t + 0*t**2)*(-56 + 238 - 122) as c*t**2 + g + l*t and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-58)\/(-10) + (14 - 20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.709181133 to 3 decimal places.\nAnswer: -4.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 28*a**2 + 17. Let k(y) = -9*y**2 - 6. What is 6*i(t) + 17*k(t)?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -13) + (-8 - (1 + -11)) - -92\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/8*1)\/(7\/(-420)*-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let p be g(2). Let v be -1*(72\/(-27) - (-4)\/(-12)). Suppose p*a + v*a = 0. Put 2, 5, a in decreasing order.\nAnswer: 5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.0936, 16, -3?\nAnswer: -0.0936","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwkwggkkhww. What is prob of picking 2 k?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -701 + 701. What is the smallest value in 0.4, r, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -0*g - 7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 76 = 3*z. Suppose 4*m - z - 17 = 0. What is the tens digit of m*-2*(-42)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -16*v**2 + 36*v + 12. Let j(w) = -w**2. Let s(t) = 5*j(t) + k(t). Factor s(f).\nAnswer: -3*(f - 2)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1103570177?\nAnswer: -2\/1103570177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2. Let h(b) be the second derivative of 5*b**4\/12 - 134*b. What is x(h(f))?\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 219*m - 12 + 92*m.\nAnswer: 311*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 19.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 4. Let f be s(-4). Suppose -16 = -2*r - 5*q + 15, f = -4*r + 3*q - 3. What is the greatest common divisor of 24 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/3*(-2778)\/72. Let f = y + 429. What is the common denominator of f and 17\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -95. Calculate the highest common divisor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 + -77. Suppose -5*n + a = -v, -5*n = 5*v - 50 - 20. Let s = n - -52. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-2\/53)*o**(1\/25))**(-2\/5) assuming o is positive.\nAnswer: o**(-5506\/6625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - 3*(sqrt(76)*6 + sqrt(76))) + -1*-6*sqrt(76) + sqrt(76) + sqrt(76))\/(-2*sqrt(16)\/(-5*(sqrt(576) + sqrt(4)) - sqrt(4))))**2.\nAnswer: 2979504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 12 = -d. Let u(k) = -k**3 + 3*k**2 + 5*k - 2. Let t be u(d). What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-560) - (4\/2)\/(-4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/60 - f**4\/24 - f**3\/6 + 17*f**2. Let g be p(0). What is the hundreds digit of 235\/2 + (-18)\/(-12) + g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -391, -581, -787, -1015, -1271, -1561, -1891?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - f. Let v(n) = 60*n**5 - 93*n**2 + 4*n. Let y(h) = 4*i(h) + v(h). Find the third derivative of y(z) wrt z.\nAnswer: 3600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.135 and -149.\nAnswer: -20.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42077.35 - -42077. Which is the biggest value? (a) l (b) -1 (c) 2\/3 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110219159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/259*175\/4875\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -13 + (-2 - -9) + 12 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gig when three letters picked without replacement from {i: 9, g: 2, d: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -520, -527, -534, -541?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -7\/4 (b) -0.1 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278\/5 + 56. Let m(h) = -h. Let s be m(-5). Suppose l - 2*b = -12, s*l + 0*b + 48 = 4*b. Is l at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15\/4*m + 21*m**2 - 9\/4 = 0.\nAnswer: -3\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 2*o - 2. Let r(u) = -10*u**2 + 10*u + 5. Let t(c) = -c**2 - c + 1. Let j(f) = -r(f) - 3*t(f). Determine 2*j(i) - 9*n(i).\nAnswer: -i**2 + 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -463 by 351797.\nAnswer: -463\/351797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*q + 3*q. Let s be 2\/q - (-8)\/(-5). Let p be -2*(-1)\/20*285\/(-38). Is p less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 3) + -1 + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85969.\nAnswer: 13, 17, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*a = 101*a + 15420. Suppose -25*c + a + 441 = 0. What is the remainder when c is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, -1, -1331.\nAnswer: -1331, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 6 - 14) + -1 - 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1167\/9 + (-24)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:18 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 68*f + 284*f + 76 - 150 + 74. Let i(y) = -y**2. Determine o(i(w)).\nAnswer: 2*w**4 - 352*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g**10))\/g)\/g)\/((g**(-11)\/g)\/g))**(-48) assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 292 = -4*n, -y + 3*n = -2*n - 288. What is the remainder when y is divided by 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d - 10 = -5*x, -4*x - d + 19 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 5*i**2 - 3*i - 4. Let j be (-24)\/(-10)*420\/(-168). Determine c(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g. Suppose 11 - 2 = 3*j. Let r(l) = 5*l + 4. Let p(h) = -4*h - 3. Let n = -2 - -6. Let t(o) = j*r(o) + n*p(o). Calculate t(x(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a141a (base 11) in base 5?\nAnswer: 14220441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 6*z + 3. Let k be q(3). Put k, -4, 1, 4 in ascending order.\nAnswer: -4, 1, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 19 + 4. What is the units digit of (-4 - -1)\/(-3)*i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3400, -2002, 360, 3686?\nAnswer: 7976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + -5 - -95 - 2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v + 20*v + 35*v)*(-8 + 6 - 10 + 3).\nAnswer: -405*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -300239.1 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + c - 1122 = -1135 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352562?\nAnswer: 2, 7, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -0.3, -2, 5064?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 + 0.01. Let u = j - 0.1. Let b = 972 - 972. What is the third biggest value in 0.5, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4397 (base 11) in base 16?\nAnswer: -16a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from vvgggggtvvggggggvvg.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1893 and 9.\nAnswer: 5679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41395687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**5\/3 - 44*g**4 + 1016*g**3\/3 + 1288*g**2\/3 - 340*g - 1156\/3 = 0. Calculate g.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21046442526 - -69.\nAnswer: -21046442457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-14\/9)*n\/(n*n\/n**(-9\/7))*n\/(n\/n**(-4\/23))*n**(-18\/7) assuming n is positive.\nAnswer: n**(-9544\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (884\/(-102))\/((-4)\/(-42)). Which is smaller: z or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 89, 190, 331, 512, 733, 994?\n\"Answer: 20*g**2 + g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {s: 2, j: 8, h: 1, q: 5, i: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/42)\/2*308\/132?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + t = -1, -3*t + 6 = -3*q + 9. Let f = -131 + 131. Which is the closest to q? (a) -3.5 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + x**2 - x**2)*(-51*x + 51*x - 24*x**2) + (2*x**4 - 3*x**4 + 2*x**4)*(-7 - 21*x + 7).\nAnswer: -45*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -151313.11 minus -21.46?\nAnswer: -151291.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 3*o - 35, 4*b - 926*o = -931*o - 41 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 6*s + 11. Let d be f(-9). Let x = 2 + d. Let c = x - -26. What is the least common multiple of c and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6218*v**2 - 86*v + 15. Let q(r) = 12436*r**2 - 167*r + 32. Let i(o) = 13*g(o) - 6*q(o). Find the second derivative of i(m) wrt m.\nAnswer: 12436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 1. Let x be 3497\/65 + 2\/10. Suppose -9*b = -3*b + x. Let t(j) = -5*j + 5. Calculate b*c(l) - 2*t(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/13 + 2*a**4\/13 - 114*a**3\/13 - 2*a**2\/13 + 112*a\/13 = 0.\nAnswer: -8, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 - -140. Let d(y) = -6 - w - 10 + 16 + 5*y. Let c(v) = v - 3. Let a = -16 + 7. What is a*c(i) + 2*d(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/7))**32\/((g**1*g)\/g*g)**5 assuming g is positive.\nAnswer: g**(218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**1\/f))\/(f*f\/(f**(3\/8)*f))*(f*f\/f**0*f)**(-15) assuming f is positive.\nAnswer: f**(-357\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*l + 569, -5*l - 454 = 3*a + 119. Let o = 188 + l. Is o a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 52. Suppose -7*g = 1648 - 1809. Give d(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12318231*v - 2990 = -12318346*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6*o + 88 - 43 = 42, -5*x = -4*o - 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 582.\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -1\/5, 0, -1673, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 86? (a) 3\/5 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 4*k - 2*k)*(-4*k**2 - k**2 + 6*k**2) + (4*k**2 + 3*k**2 - 5*k**2)*(-21*k - 10 + 10).\nAnswer: -43*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 29, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 1. Let r be c(-1). Suppose -4 = -2*o + 4*g - 12, r = 5*o + 5*g - 55. Solve -3*y + o*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210.8 - 192. What is a rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2586 - 41391\/16. What is the second biggest value in -0.2, l, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 2*q**2 - 59\/60*q**5 + 0*q + 0*q**4 + 0*q**3 + 124. Let z(v) = -v. What is f(z(j))?\nAnswer: -59*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/15, -3, 3, -4, -8, -159 in ascending order.\nAnswer: -159, -8, -4, -3, 2\/15, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306398937?\nAnswer: 3, 13, 1423, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/20 - 3*f**4\/2 + 10*f**3\/3 + 12*f**2 + 3*f. Let a be l(-19). Suppose -a*k + k = -88. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48271 = -2*z - 3*x, -16*x - 6 = -18*x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 19. Let l be (-4)\/3*(m + -1101). Is (l\/(-32))\/((-9)\/24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-120))\/((-21)\/15)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t + 68. Let g be w(-16). Solve 5*n - g = 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*i = 80, -4*i - 25 = -2*p + 9. Suppose 23*w - 56 = p*w. Calculate the highest common divisor of w and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(24)\/sqrt(3)*2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 c, and 2 j when four letters picked without replacement from {c: 4, y: 1, j: 4, f: 2, a: 5}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 8*r**2 - 6*r - 4. Let p be h(7). Let d(j) = j**3 + 3*j**2 - 3*j + 2. Let f be d(-4). Put f, -1, p in increasing order.\nAnswer: f, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-120)\/540).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5225)\/(-30) + 1\/(-6). Let v = a - 83. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Suppose k*d - 6 = -0, -4*l - 2*d = -26. Suppose l*h - 2*h = 30. What is the remainder when 47 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2035.27491 to one decimal place.\nAnswer: -2035.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -w - 2, -2*w - 2*z = -2 + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:47 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -46330 to the nearest 1000.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 5, -3 in decreasing order.\nAnswer: 5, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, q: 1, a: 10, h: 1, y: 3, t: 3}. What is prob of sequence hypt?\nAnswer: 1\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 303974096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1825?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243043 (base 5) to base 7.\nAnswer: 35446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18262646*w - 7937065?\nAnswer: -18262646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9708 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87053035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -90cd?\nAnswer: 90d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -163226 and -3.\nAnswer: 489678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3099.8 - -3100. Which is the nearest to 1\/4? (a) m (b) -2\/17 (c) -9 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyzhmgky. Give prob of sequence ykg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + n)*(-4056*n - 198*n - 2034*n).\nAnswer: -6288*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/1 + -1 + 0. Let x(p) be the third derivative of -p**5\/60 - p**4\/2 + p**3\/6 + 5*p**2. Is x(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 29, 2 in descending order.\nAnswer: 29, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13062140263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(180) + sqrt(45))\/sqrt(5)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -4*z + 4, 4*v + 4 = 4*z. Let w = -7 - -31. Let o = v + w. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -3.9, -4, -5?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1872, -4\/5, 0.1, -0.4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 242\/3 + -80. Let i = 53 + -32. Let f = i - 20.7. What is the second biggest value in -1\/4, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/25 - (-1572)\/10) + -3. Suppose -34*o - n = -36*o. List the prime factors of o.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -2*z. Suppose -3*p = -p + 4*m - 120, -m + 205 = z*p. What is the greatest common factor of p and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**4 + 8*j**2 + 14. What is the second derivative of f(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 3*d + 46450, 4*y - 46456 = 5*d - 7*d. What is y rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -65, -66, -73, -92, -129, -190, -281, -408?\n\"Answer: -g**3 + 3*g**2 - 3*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -809008.74 and -71.6.\nAnswer: -809080.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g - 94. Let h be o(23). Is h\/26 + (-662396)\/(-91) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 170?\nAnswer: -16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19022, -42163, -65304, -88445?\nAnswer: -111586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2633806 by -1.\nAnswer: -2633806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33\/2832311 or 0?\nAnswer: 33\/2832311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187534253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 750 = 90. What is the units digit of 15\/m - 175\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -16 (b) 4\/3 (c) -77 (d) -0.06 (e) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46539*n**6 + 993*n**2 + 2*n + 1?\nAnswer: 5584680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Solve -9 = 5*x - f, -3*x - 2*f + k = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20940\/(-8725)*180\/16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f + 1. Let r be 3 + -5 - (f - 57). Calculate the greatest common divisor of 486 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q*q\/q**25)\/q*q)\/q*q*q))**(-42)\/(q*q**(2\/5))**(-7) assuming q is positive.\nAnswer: q**(-4781\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 17 - 3 = 0, 5*f - 14 = t. Suppose 5*r - 45 = -2*w, 28 = f*w + r - 29. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 602\/(-77) - ((-18 - -2) + 8). Determine z so that 2592\/11*z + 72*z**2 + g*z**4 - 3456\/11 + 70\/11*z**3 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 - 27. Let k = 61 - r. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 69*t**2\/2 + 4. What are the prime factors of o(1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 4. Let z be (-16)\/(-40) - (-23)\/5. Let c(h) = h**3 - 5*h**2 + h - 5. Let y be c(z). Let q be k(y). Solve -2*b - q = -6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by -143.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16714 is divided by 1810?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*k + 18*k + 88*k**2 - 35*k in the form f*k**2 + s*k + t and give f.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + w - 80 = 0, -3*j + 60 = 2*j + 5*w. Suppose 5 = -x + 27. Let d = x - j. Let f(a) = -3*a + 1. Let q(n) = -4*n + 1. Calculate d*q(o) - 6*f(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56*z**2 - 2534*z + 5197862.\nAnswer: -112*z - 2534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - 4*i, 4*v - 19 = 4*i + 17. Let p = 13 - v. Calculate the remainder when 0\/(2\/(-1)) - -13 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by (106\/(-8))\/(19\/(-76))?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 23*c + 16*c + 16*c)*(-5*c**3 + 6 - 6 + (-c + 4 - 4)*(-3*c**2 - 2*c**2 + 6*c**2) + 5*c**3 - 2*c**3 - c**3 + (-2 - c**2 + 2)*(-1 + 1 - c)).\nAnswer: -27*c**4 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, u: 2, x: 5}. What is prob of sequence uxx?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 - 64*g + 1 - 66*g + 129*g + 11*g**2 - g**4 - 4*g**3 to the form q*g**2 + v*g + j + i*g**4 + d*g**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 5 - 6*g**2 + g + g + 3*g. Let f be m(5). Let k(n) = -n**3 + 6*n**2 - 3*n + 6. What is the remainder when k(f) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63401048*s**6 + 2*s**2 - 151478*s - 130.\nAnswer: 7608125760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, q: 2}. What is prob of sequence qq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -0.2, 1\/36, -2 in increasing order.\nAnswer: -2, -5\/4, -0.2, 1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-106)\/22*1. Is -1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 + 156*a + 10802. Give q(75).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) - 28\/(-35). Which is the nearest to 1? (a) -2\/13 (b) 0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1272)\/180 - 1\/(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 4 - 71*l**2 - 41 + 26 + 21.\nAnswer: -71*l**2 - l + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6071.7 minus 358538.818?\nAnswer: -352467.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 75*k - 25. Let l(j) be the third derivative of 19*j**4\/24 - j**3 - 22*j**2 - 2*j + 40. Determine 25*l(d) - 6*w(d).\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560522 is divided by 280230.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39050.\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1001010110101?\nAnswer: -1001010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:46 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*c - 3 = 0, -5*h = -4*c - 2 - 4. Suppose 4*i - h = 2*i. Let v(d) = d - i - 1 + 1. Give v(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 35. Let w be (-9)\/(-6) + (-39)\/i. Let l = -2376 + 2371. Which is the third smallest value? (a) l (b) 14 (c) w (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 43*v - 221. Let j be -7*(-10)\/3 + 14\/21. List the prime factors of c(j).\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 16 = -4*z - 4*a, 2*z + 4 = a. Which is bigger: z or -2\/53?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 140433*b = -70210*b - 70218*b - 16, -3*b = -5*o + 57 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 11*i**3 + 34*i - 6*i**3 - 8*i**3 - 32*i to k*i**2 + d*i**3 + j + u*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 27*v**2 - v. Let z(s) = -8*s**2. Determine a(z(k)).\nAnswer: 1728*k**4 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, n: 8, v: 8}. What is prob of sequence nv?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-180)\/(-24))*(-80)\/(56\/(-7))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v**3 - v)*(2*v - 4*v + v) + 5*v**2 + 2*v**4 - 12*v**4 + 9*v**4 + 6*v.\nAnswer: -3*v**4 + 5*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2254 + 4745. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.5 + -6.5. Let c = m + -35.772. Round c to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 3*t - r, -2*t + 2 = 4*r. Suppose -3*q - 9 = 5*g, 5*g - 34*q - 9 = -31*q. Let z = 3.2 - 3. Which is the nearest to 2\/5? (a) g (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 141, 591, 1347, 2409?\n\"Answer: 153*x**2 - 9*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(2*k - k + 4*k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*y - 3 = 0, -4*h + 2*y + 10 = -12. Suppose -h*d + 0*d + 54 = 0. What is the greatest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2 - 4*r + 1. Let i(g) = 0*g + 5*g + 5*g**2 + 2*g**2 - 1. Let u(w) = -2*w + 0*w + 1 - w. Let z be u(-1). Determine z*i(x) + 5*l(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**1*l))**(-19\/5))**(-38)\/(l\/(l\/(l*l**(-2\/3)*l))*l\/((l*l**(-7)\/l)\/l)*(l\/(l\/l**1))**(-2\/101)) assuming l is positive.\nAnswer: l**(-453157\/1515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -3. Is (-3 - 3\/f) + 151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-13 + 5 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*c**2 - 9*c**2 + 431*c**2.\nAnswer: 1265*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -228 (b) 7259 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365 - 221. Let b = 144 - z. What is the smallest value in b, -3, -0.02, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110100110101 - 100001?\nAnswer: 1010110100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -x - 13, 3*l - x = 4*x - 7. Let y be -86 + (-1)\/(1\/(-12)*l). Let o = 152 + y. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38780 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*d + m - 28, -d + 23 = -5*m. Let h be 1*1\/(-1) - 12. Let p = 2\/33 + 29\/66. Which is the nearest to h? (a) -4 (b) p (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 3*b**2 + 8*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.3797l in millilitres?\nAnswer: 670379.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2445406 nanograms?\nAnswer: 0.0000000000002445406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.991472 years in decades?\nAnswer: 0.0991472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*i**3 + 45*i**3 + 39*i**3 + 43*i**3 + 33*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 224. Let b = -30 - x. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooi when three letters picked without replacement from oyyyooqotoyoyboiyobo.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, 1 l, and 1 h when four letters picked without replacement from {u: 1, f: 2, y: 1, l: 2, h: 1, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**0\/k)\/k*k*k)**6\/(((k*k*k**(-7\/4))\/k)\/(k*k**(1\/2)*k)) assuming k is positive.\nAnswer: k**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 836 + -5?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -537736189 from 19.622.\nAnswer: 537736208.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/51)*w*w\/((w\/((w*(w\/w**2)\/w)\/w))\/w)*w)\/((w\/(((w*w**18)\/w)\/w))\/w**3) assuming w is positive.\nAnswer: w**(1069\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 3*a**3 + 89*a - 1 - a**2 + 3*a**4 - 87*a in the form f + p*a**2 + u*a**3 + t*a + w*a**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -310 + 310. Factor 2\/7*n**4 + d + 1\/7*n**3 + 0*n + 0*n**2 + 1\/7*n**5.\nAnswer: n**3*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*u + 5*w, 7*u + 11 = 4*u - 5*w. Suppose 7*t - 3*t - 140 = -u*d, -d + 2*t = -40. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l + 0*l + 4*l - 110 + 0*l + 0*l.\nAnswer: -6*l - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - (9 - (0 + 15))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779*p - 769*p - 66 = -2*b, 4*b + 15 = p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(3328)*-1 - sqrt(13)*1*-4*4))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9104 and 743114?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/2, -0.2, -3, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**3 - 1940*z**2 + 181753*z\/3 + 4545424\/3.\nAnswer: (z + 16)*(6*z - 533)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2812, 2\/3, 3\/7 in increasing order.\nAnswer: -2812, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1394.3 + 13978431889?\nAnswer: 13978430494.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - (-3 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**38)**2\/(a**16\/(a\/(a\/(a*a**(-15))))))**(2\/61) assuming a is positive.\nAnswer: a**(92\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - 12369\/441) + (-690)\/63.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 335972 and 121268?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*m - 6513 + 5938 for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 8, d: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 0*d + 0 + 1\/6*d**3 + 1\/24*d**4 + 2\/15*d**5 + 2*d**2. Let a be (-10)\/12 + (-140)\/840. Determine o(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 456 + -211. Suppose -7*t + 7 = -x. Calculate the lowest common multiple of 52 and t.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -160, -259, -374, -511, -676, -875, -1114?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 5*g**6\/24 - g**5\/2 + 5*g**3\/6 - 5*g**2\/8 + 21. Find i, given that r(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/10 - 2)*-1. Suppose -v = -2*f - 44, 140 - 31 = -5*f + 2*v. Let d = f + 65\/3. Which is the third biggest value? (a) d (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:56 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000254874 rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 24993585.\nAnswer: 49987170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54*m**2*o*p*x - 2*m**2*o*p + m**2*o + o*p**2*x + o*p**2 - 2*o*x + 3*p wrt x?\nAnswer: 54*m**2*o*p + o*p**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(57)\/sqrt(3) - (3*sqrt(57))\/sqrt(3).\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*m + 224 = -779 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02507249 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-12) + 2\/(-3). Suppose 2*c + 3*h - 7*h - 58 = p, 5*h = -20. Solve c = t - 4*g, 2*t + 3*t + 2*g + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 830.4799 days in milliseconds?\nAnswer: 71753463360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36944503 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43261617?\nAnswer: 3, 7, 17, 121181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/40)\/((-1)\/10). Suppose -i = u*i - 350. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(((-350)\/25)\/182)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*-6*(sqrt(1008)*-2*1 + sqrt(1008)).\nAnswer: -360*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Suppose -o*a - 125 = -0*a. Let v = -77\/3 - a. Sort v, -4, 2 in increasing order.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 - -104 - 84 - (-110)\/(-5)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + -2 - 0 - (39462 - 39500).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5))**(6\/19))**48)**(10\/21) assuming p is positive.\nAnswer: p**(-4800\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2948760 and 22852890.\nAnswer: 91411560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 3. Let x(u) = 16*u**2 - 5*u + 2. Let o be x(3). Let y = 135 - o. Solve y = s*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2\/17, -4, 2, -0.2 in ascending order.\nAnswer: -4, -0.2, -2\/17, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4552791 to the nearest integer?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -18. Let i(b) = b**3 + 5*b**2 - 3*b + 2. Let r be i(-4). Let n be (-56)\/r - (-8)\/4. What is the second biggest value in 4, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 120 = -18*i. Let s(x) = x**3 + 2*x + 3. Calculate the lowest common multiple of i and s(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7))**(-1) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*q**3 + 134*j**3*q**2*s + j**3*q*s - 90*j**2*q**3 - 2*j**2*q**2*s - j - 4*q**3*s wrt q?\nAnswer: -12*j**3 - 540*j**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + -4. Is 1282 - (190\/70 - 4\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 13*d - 498. Is d\/(5\/((-20)\/(-8))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 24. Let f be n(-5). Suppose 56 = 4*s - 3*m, -10*s + 69 = -5*s - f*m. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -405952*-0.1\nAnswer: 40595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 4\/11, -12, -5, -2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15431\/330 + 365\/33. Is a < -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 120\/(-9)*(-9)\/2. Suppose 6*z - w = z. Let p = z - 12. Solve 4*f - k - 17 = p, -3*f + 17 = 2*f + 3*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*(-254)\/88011*27\/(-88)?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-6) + (-4)\/(-12). Suppose -2*m + t - 21 = l*t, -3*t = m + 18. Let v = -0.08 + 0.48. Which is the third smallest value? (a) v (b) 2\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 29*d**2 + 66*d + 58. Let i be r(31). Suppose 5472 = -179*s + i*s. List the prime factors of s.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-105)\/33 + 5 - 2) + (-21730)\/(-62040) and 70\/141.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170338 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 - r**2 + 6*r - 2. Let t(z) = -z**3 - 9*z**2 - z - 3. Let i be t(-9). Suppose -i*q + 12 = -4*q. Let b(m) = -m**3 + m. What is q*b(v) - o(v)?\nAnswer: -2*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(363) - (sqrt(432)*-2)**2) + (2 + (sqrt(6)\/sqrt(2) - sqrt(3)) - (sqrt(12)\/sqrt(4) + -5)).\nAnswer: -1721 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -1.2. Which is bigger: -0.34 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 6 - 9. Solve 9 = -3*i + 3*h, -5*i + n*h - 29 = 5*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/862815 and -59\/8895.\nAnswer: 862815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-114))\/(-1 - 13\/(-11))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/9)\/(3\/(-9)). Which is the nearest to -1? (a) s (b) 0.4 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(10\/11)\/(f*f**(3\/13)\/f))**(-40) assuming f is positive.\nAnswer: f**(-3880\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653*r + 669*r - 324460 = 1061188. List the prime factors of r.\nAnswer: 11, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/8)\/(255\/(-68))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 215 and -4?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2437 - -2453. Solve -q + 5*u - u - f = 0, u - 3 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 51715462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-5)\/(-11))*(-6072)\/(-2484).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-251 + 328 - 4073 - 3697 - 727)*(4 - 1 - 1)*(i + 3*i - 3*i) as h*i + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 14. Let b(u) = -9*u - 41. Let x(o) = 6*b(o) + 17*k(o). Let a be x(-11). Suppose n = 3*w - a, 4*w - 5 = 3*w + n. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28716151\/3 greater than -9572049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-8*(-77)\/352?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}